# Can someone help me solve this: Decide all values of b in the following equations that will give one or more real number solutions. (a) 3x^2+bx-3=0 (b) 5x^2+bx+1=0 (c) -3x^2 +bx-3=0 (d) write a rule for judging if an equation

126,872 results
1. ## algebra

Can someone help me solve this: Decide all values of b in the following equations that will give one or more real number solutions. (a) 3x^2+bx-3=0 (b) 5x^2+bx+1=0 (c) -3x^2 +bx-3=0 (d) write a rule for judging if an equation has solutions by looking at it

Can someone help me solve this: Decide all values of b in the following equations that will give one or more real number solutions. (a) 3x^2+bx-3=0 (b) 5x^2+bx+1=0 (c) -3x^2 +bx-3=0 (d) write a rule for judging if an equation has solutions by looking at it

Solve each equation by graphing the related function. If the equation has no real-number solution, write no solution. NOTE: when I write + it has a minus on the bottom too x^2+7=0 a. x= +7 b. x = +3.5 c. x= 0 d. no solution *** 3x^2=0 a. +3 b. +1/3 c. 0

1. Solve the system of equations y=2x^2-3 y=3x-1 a)no solution b)(-1/2,5),(2,-5/2) c)(-1/2,-5/2),(2,5)**** d)(1/2,5/2),(2,5) 2. How many real number solutions are there to the equation 0=-3x^2+x-4? a)0 ***** b)1 c)2 d)3 3.solve the equation by completing

8. p + 4 < –24 p < –20 p < 28 p < –28 p < 20 9.p/8 ≥ –5 p ≥ 40 p ≥ 3 p ≥ –13 p ≥ –40 10. –5p > –30 p > 6 p < 6 p > –35 p < 35 11. Which inequality matches the graph? 3x + 1 >
6. ## questions

1.) Why are there usually two solutions in quadratic equations? 2.) Under what situation would one or more solutions of a rational equation be unacceptable? If putting the found "solution" cannot be put back into the original equation without violating
7. ## Maths

1) Factorise x2 -6x +8 (the 2 is squared) 2) Hence solve this equation: x2 -6x +8 = 0 Also, what would the line look like on a graph with the equation y = 10/x Thankyou =) 1) x^2 - 6x + 8 factors are: (x - 2)(x - 4) -->look for possible factors of 8 and
8. ## college algebra--need help please!!

solve the equation in the real number system. 2x^4-23x^3+75x^2-88x+28=0 What are the real solutions of the equations? please show work. I do not know how to work this at all
9. ## math

compare and contrast: below are two equations. solve each equation and compare the two solutions. choose the statement that is true about each solution. equation #1 2x-3=-17 5x+3=12 A. equation #1 and equation #2 have the same number of solutions B.
10. ## Algebra

Compute the value of the discriminant and give the number of real solutions to the quadratic equation. 2x^2+5x-7=0 Discrimnant= number of real solutions=
11. ## Algebra2

Find the polynomials roots to each of the following problems: #1) x^2+3x+1 #2) x^2+4x+3=0 #3) -2x^2+4x-5 #3 is not an equation. Dod you omit "= 0" at the end? #2 can be factored into (x+1)(x+3) = 0, so the roots are x=-1 and -3. #1 Use the quadratic
12. ## algebra2

solve the equation: First: x + 3y = 5 Second: 3x - y = 5 should i use substitution or add them? "First" + 3 times "Second" eliminates y: x + 3y + 3*(3x - y) = 5 + 3*5 ---> 10 x = 20 ----> x = 2 Inserting in "First" gives: 2 + 3 y = 5 ---> 3 y = 3
13. ## algebra

how would i find an equation of a line that goes through points(1,6) and (3,10)?? thanks A straight line is y=mx+b Substitute the points to make two equations. 6=m(1)+b 10=m(3)+b Two equations; two unknowns, m and b. Solve for m and b, then plug back into
14. ## Equations Help

how many real number solutions are there to the equation y=5x^2+2x-12 how many real number solutions are there to the equation y=3x^2+18x+27 Can somebody tell me how to get the solutions?
15. ## Algebra II

1)What method(s) would you choose to solve the equation: x2 + 2x - 6 = 0 A. Square roots; there is no x-term. B. Quadratic formula, graphing; the equation cannot be factored easily since the numbers are large. C. Factoring; the equation is easily factored.
16. ## Algebra

Consider the equation: 4x^2 – 16x + 25 = 0 (a) Show how to compute the discriminant, b^2 – 4ac, and then state whether there is one real-number solution, two different real-number solutions, or two different imaginary-number solutions. (b) Use the
17. ## Algebra

Consider the equation 4x^2 – 16x + 25 = 0. (a) Show how to compute the discriminant, b^2 – 4ac, and then state whether there is one real-number solution, two different real-number solutions, or two different imaginary-number solutions. (b) Use the
18. ## algebra

5x-2y=-5 y-5x=3 substitution Substitute 5x +3 for y in the first equation, then solve it for x. Substitute 5x +3 for y in the first equation, then solve it for x. When I subsitute 5x+3 into the equation I get x=1/5 and y=2 is this correct? You are close!
19. ## Algebra 2

1. The roots of the quadratic equation z^2 + az + b = 0 are 2 - 3i and 2 + 3i. What is a+b? 2. Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find more than one pair, then list your pairs in order by increasing x value,
20. ## Math

Decide what values of the variable cannot possibly be solutions for each equation. Do not solve. 2x/x+1 + 3/5x+5=0
21. ## Math

Decide what values of the variable cannot possibly be solutions for each equation. Do not solve. 2/x+3 - 5/x-1= -5/x^2+2x-3
22. ## math

1. Solve for the indicated letter D=4e, for e The solution is e= 2. G(x) = 6/(6-5x) Choose the correct domain below {x|x is a real number and x ≠0} {x|x is a real number and x≠6/5} {x|x is a real number and x≥6/5} {x|x is a real number
23. ## Math

Given that the equation x^2(3-x) has 3 real solutions of k, give the set of possible values for k.
24. ## Math

Can someone please check my work for me? Write an equation of the line satisfying the given conditions. 9) Intersects the line y = 2 + 3x at infinitely many places. 9) A) y = -3x + 2 B) y = 2x + 3 C) y = -1/3x + 2 D) y = 2 + 3x Is the answer A Use the
25. ## Equations

How many real number solutions does the equation have y=3x^2+18x+27 none one two infinite
26. ## algebra

Solve the equation using the zero-product property. -9n(5n-5) a. -1/9, 1 b. 0,1***** c. -1/9,-1 d. 0,-1 Use the quadratic formula to solve the equation. if necessary, round to the nearest hundredth. x^2-6=x a. x=2,3 b. x=-2,3 ***** c. x=2,-3 d. x=-2,-3 How
27. ## Factoring

What does 3x^3-3x+2=0 come out to? How would I solve this? Is the x cubed supposed to be x squared? You can compare the equation with the identity: (a+b)^3 = a^3 + 3 a^2 b + 3 a b^2 + b^3 which you can rewrite as: (a + b)^3 = 3 ab (a + b) + a^3 + b^3 (1)

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. Okay so that is the question, I know it's already on Jiskha but I need it to be
29. ## Algebra

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. Okay so that is the question, I know it's already on Jiskha but I need it to be
30. ## algebra

Coulld someone take the time and check my answers please. 11) without graphing is the system independent, dependent, or inconsistent? y=-x+5 -3x-3y=-15 (my answer; dependent) 12) your club is baking vanilla and chocolate cakes for a bake sale. they need at

please help me solve these 1. 2√5/8 + 4√3/8 - 1/2√68 2. √4k-5 +1=8 (the radical sign goes over 4k-5) 3. (x+4)*2 /3 =8 4. Write the value of the discriminant of each equation. Then use it to decide how many different real-number
32. ## Algebra

A physics student stands at the top of a hill that has an elevation of 37 meters. He throws a rock and it goes up into the air and then falls back past him and lands on the ground below. The path of the rock can be modeled by the equation y = -0.02x^2 +
33. ## math

just an algebra question. how would you solve: (3x^2 +5)(3x^2 +5) ^ means power :] Since you have not given us an equation, it is impossible to "solve" your problam. Please repost with the complete equation, so we can help you. I hope this helps a little.
34. ## math

Solve the equation by completing the square. If the solutions are real, give exact and approximate answers. Otherwise, list the exact solutions. 7x^2-4x+1=2x^2-7x+3 Please help!!!!! :(
35. ## How do I do this.?(Math.)

Use the Substitution method to solve the system of equations. y - 2x = -5 3y - x = 5 Solve one of the equations for x or y. Let's solve the first one for y: y - 2x = -5 y = 2x - 5 Now let's substitute 2x - 5 for y in the second equation to solve for x:
36. ## math

Solve the equation by completing the square. If the solutions are real, give exact and approximate answers. Otherwise, list the exact solutions. 2y^2=-12y-3 Please help!!!!!!:(
37. ## math

Solve the equation by completing the square. If the solutions are real, give exact and approximate answers. Otherwise, list the exact solutions. 12x=-3x^2-14 Please help!!!!! :(
38. ## Algebra

How many real number solutions does the equation have? y=-4x^2+7x-8 A. no solutions B. one solution C. two solutions D. infinitely many solutions I think it is C..? How many real number solutions does the equation have? y=2x^2-20x+50 A. no solutions B. one
39. ## math

Not sure about this... Need to solve by substitution 8x - 4y = 16 y = 2x -4 Substitute 2x -4 for y in the first equation and solve the resulting equation for x. 8x - 4(2x-4) = 16 16 = 16 The two equations are not independent. One can be derived fron the
40. ## Geometry :(

this maths problem is wrecking my head.... 1.find the points of interesction of the line L and the circle k in the following L:x-2y=0 K:X Squared + y squared=25 I would solve both equations for y, and then you'll have a system with two equations and two
41. ## Math help

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions.
42. ## Algebra 2

Find all the values of j such that the quadratic equation 5x^2+x+4j=0 has no real solutions. Write your answer as an equality or inequality in terms of j.
43. ## Math

How many real number solutions does the equation have? y=3x^2-5x-5 A)one solution B)two solutions C)no solutions D)infinitely many solutions I can't figure this question out. Any help would be amazing.
44. ## math

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. I have no idea?
45. ## Math

1. –9p – 17 = 10 (1 point) –3 16 18 –16 2. w over four – 4 = 3 (1 point) –4 28 3 11 3. d over three+ 10 = 7 (1 point) 51 20 0 –9 4. –2(m – 30) = –6m (1 point) –15 –13 –8 8 5. 3n + 2= 8 + 2n (1 point) 3 4 5 6 Simplify the
46. ## Math

1)How many real number solutions does the equation have? -8x^2-8x-2=0 A) One Solution B) Two Solutions C) No solutions D) Infinitely many solutions If someone could help me with this that would be great since I am confused. Thank you!
47. ## algebra,math

Solve the equation. Check both solutions and only write the real solution. the square root of 6m minus 5 = m A. {1} B. {5} C. {1, 5} D. no real solution I think its B
48. ## Algebra

How many real number solutions are there to the equation 0=-3x^2+x-4 A) 0***** B) 1 C) 2 D) 3 Help on how to solve this.
49. ## Electrochemistry

I have an electrochem based question. I'm trying to solve for E* based on a chart in my book. I know the equation for solving this is E*= E*ox + E*red. The chart in my book gives a list of reactions and a E*red value. My teacher told us that the greater,
50. ## pre algebra

1. Solve the equation. –9v – 5 = –95 (1 point) 17 11 10 –10 2. Solve the equation. x over four – 5 = –8 (1 point) –27 –12 –7 12 3. Solve the equation. p over five + 6 = 10 (1 point) 44 30 20 –20 4. Solve the equation. –2(m – 30) =
51. ## math---help! 1 question

pls help me! 21. Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. (3 points)
52. ## Math help please Ms. Sue agian

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. (3 points) I need help with this one too. Thank you! :)
53. ## Math

How many real-number solutions does the equation have? –7x2 + 6x + 3 = 0 one solution two solutions*********** no solutions infinitely many solutions
54. ## Algebra

It is possible for a quadratic equation to have no real-number solutions:Solve : x2 + 5x + 3 = 0
55. ## Discrete Math

I am really stuck on these problems. I've worked a lot of them but I can't get these. Sometimes I think I know the answer but I can't show how I got it. 1.) Solve each matrix equation for X. 2X + 5A = B 2.) Find the following matrices: a. AB b. BA A= 2 4 3
56. ## Algebra 2(check pt 4)

1)Cramer's Rule is used to solve the system of equations:3m-5n=12,4m+7n=-5 Which determinant represents the numerator for n? answer=[12 -5] [-5 7] 2)Cramer's Rule is used to solve the system of equations:3x-y+2z=17,4x+2y-3z=10,and 2x+5y-9z=-6 Which
57. ## Algebra 1B

Can you give me the steps to the answer? How many real number solutions are there to the equation 0 = –3x² + x – 4? 0 1 2 3
58. ## Math ~CHECK MY WORK PLEASE~

Hello, Please check my answers, with stars (*) are my answers! Please check if they are wrong please tell the right answer and why it is right (explain it) so I can understand why! Thanks! For questions 1-2, solve the inequality. 1.) x + 8 < -28 a~ x
59. ## math

how many real number solutions does the equation have y = -4x^2 + 7x - 8 no solutions (is it this one) one solution two solutions infinitely many solutions
60. ## Math

For the following equation, state the value of the discriminant and then describe the nature of the solutions. -9x^2+6x-2=0 what is the value of the discriminant? Which one of the statements below is correct? A) the equation has two imaginary solutions. B)
61. ## maths

For what natural number of x and y the equation 2x+5y-7=0 has unique solutions? If the values are taken from collection of real numbers do you think the equation has unique solution
62. ## Math

I am really have a tough time trying to solve this problem. I think my first three steps are correct but I am not sure. Could someone please help me? I got lost somewhere on one of these steps. I thonk it was step 3, 4, 5. Thank you. The two numbers chosen
63. ## help!

Can you please give me one of them so I cansolve for the other one?PLease! The general formula for a straight line is y = mx + b. Just plug the points into the equation to arrive at two equations. 6=2m+b 10=4m+b you have two equations and two unknowns.
64. ## math

Can someone help me figure this out. The difference of two numbers is 80. The second is 8 less than 5 times the first. What are the two numbers? first write an equation 5x-8=y and then solve it Tiff gave you part of the solution. 5x-8=y However, there is
65. ## algebra

It is possible for a quadratic equation to have no real-number solutions. Solve. t^2+10t+26=0
66. ## algebra

determine the nature of the solutions of the equation, one real solution, two real solutions, or two non-real solutions. x^2-20x+100=0
67. ## Mat/117 DQ1

How do you know if a quadratic equation will have one, two, or no solutions?Please give examples. How do you find a quadratic equation if you are only given the solution? Please give an example.Is it possible to have different quadratic equations with the
68. ## Algebra

For the following equation, state the value of the discriminant and then describe the nature of the solutions. -7x^2+3x-4=0 What is the value of the disriminant? Does the equation have two imaginary solutions, two real solutions, or one real solution?
69. ## Calculus

Solve the equations below exactly. Give your answers in radians, and find all possible values for t in the interval 0≤t≤2π. If there is more than one answer, enter your solutions in a comma separated list. (a) sin(t)=2/√2 when t= (b) cos(t)=1/2 when
70. ## Calcalus

Solve the equations below exactly Give your answers in radians, and find all possible values for t If there is more than one answer, enter your solutions in a comma separated list (a) sin(t)= sqroot(2)/2 when t= (b) cos(t)=1/2 when t= (c) tan(t)=-1 when t=
71. ## algebra

For the following equation, state the value of the discriminant and then describe the nature of the solutions. -2x^2+3x-7=0 What is the value of the discriminant? Which one of the statements below is correct? The equation has two imaginary solutions. The
72. ## Math

Can you Check my work please? Let N(t) be the number of bacteria after t days. Then N(t) = Pa^t for some constants P and a. Measurements indicate that N(4) = 5600 and N(8) = 362, 000. b. Write down two equations for P and a, one when t = 4 and the other
73. ## Math 2 questions :/

Which of the following equations has an infinite number of solutions? 3x ¨C 3 = ¨C4x 2y + 4 ¨C y = 16 7x + 5 = 4x + 5 + 3x 6y ¨C 2 = 2(y ¨C 1) Write the inequality and solve for the following problem: The result of 6 subtracted from a number n is at
74. ## Math urgent! :( plz help

3. Which of the following equations has an infinite number of solutions? 3x - 3 + -4x 2y+ 4 -y = 16 7x + 5 = 4x + 5 + 3x 6y -2 =2 (y-1) Write the inequality and solve for the following problem: The result of 6 subtracted from a number n is at least 2 n -
75. ## college algebra

Using Systems of Equations. Please help!!! I'm not sure what steps to do, to work this problem. #7) Five hundred tickets were sold for a school play, which generated \$3560 in revenue. The prices of the tickets were \$5 for children, \$7 for students, and \$10
76. ## Algebra

how many real number solutions does this equation have? -7x^2+6x+3=0 How many real number solutions does the equation have? 0=3x^2+18x+27
77. ## Pre-Algebra [repost ]

I need help on these three questions BEFORE 10:00 PM. Please someone show me how to do them step by step! Solve the equation for y in terms of x then find the solutions of the equation for the given values of x. 1.x + y = -1 [values of x: 3, 1, -2] 2.x+ 4y
78. ## ALGEBRA

The table below shows two equations: Equation 1 |3x - 1| + 7 = 2 Equation 2 |2x + 1| + 4 = 3 Which statement is true about the solution to the two equations? Equation 1 and equation 2 have no solutions. Equation 1 has no solution and equation 2 has
79. ## Math

A set of homogeneous simultaneous equations is given by x + ky = 0 kx + 3y = 0 Calculate the two values of k that lead to non-trivial solutions to these equations and express y in terms of x for the two values. I thought that for the solutions to be no
80. ## Mathxxx!!!

1. How many solutions does the equation have? 4x+3=2(2x+9) a.one solution b.no solution c. infinite number of solutions d. impossible to determine 2. How many solutions does the equation have? 4x+19=-9-6x a.one solution b.no solution c. infinite number of
81. ## Math/ Algebra

Give an example of a function using a set of at least 4 ordered pairs. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and 5. Explain why your example models a function. Give an example of at least
82. ## equations

decide whether each equation is true or false.For each true equation,write the number property shown by the equation.0+6=6
83. ## Math

How do I write the Symmetric Equation of a line given the following parametric equations: (where t is a scalar) x=0t y=0t z=1+1t I know normally I would solve each equation for t and set the equations equal to one another. However, I can not solve for t in
84. ## Math

How do I write the Symmetric Equation of a line given the following parametric equations: (where t is a scalar) x=0t y=0t z=1+1t I know normally I would solve each equation for t and set the equations equal to one another. However, I can not solve for t in
85. ## Algebra 1

Explain why the two equations below have the same solutions. x + 3y = −1 −2x − 6y = 2 A. The two equations have the same slope, so they have the same solutions. B. The second equation is a multiple of the first equation, so they have the
86. ## CountIblis, can i bother you

Countiblis, i know that you might be busy do you mind if i ask you the following for help.Only if you can please. can you explain to me just one more thing so i can undestand it. Now i have an equation which is : 3x = 3x + 5 which I know has no solution to
87. ## Math

The planning committee for the upcoming school play “Miss-terious” at LMSA asked the mathematics classes to give them some estimates about income that could be expected at different ticket price levels. The class did some market research to see what
88. ## economics

Suppose that the following equations describe an economy (C, I, G, T, and Y are measured in billions of dollars and r is measured in percent; for example, r = 10 C=170+0.6(Y-T),T=200,I=100-4r,G=350 (M/P)d=L=0.75Y-6r, (M/P)s=735 a. Derive the equation for
89. ## algebra 1

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. Part B: Make tables to find the solution to 4x = 2x−2. Take the integer values of x
90. ## math

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. Part B: Make tables to find the solution to 4x = 2x−2. Take the integer values of x
91. ## Algebra

Find the number of the solutions to each system. a. 4x-y+1=0 4x-y+3=0 b. 2x-y+4=0 4x-2y+8=0 Write a question that can be solved using a system of linear equations. Solve the following system of equations by graphing: y=x+3 and y=-2x-3
92. ## math

Explain why the simultaneous equations y=1/2x+2 and 2y-x:4 have an infinite number of solutions. What is diffrent about these equations compared with the equations in the first question ( the equations were y=2x+3 and 5y-10x=5)? What is similar? ( include
93. ## Math

You are given two equations which are both true, and you are asked to solve for both x and y. You plan to solve this set of equations by substituting part of one equation into the other so you end up with an equation that contains only x's or only y's. The
94. ## Math

Solve the system by addition or substitution. 3x – 4y = 8 6x – 2y = 10 Please get me on the correct track for 3x -4y =8 x=4, y=1 for 6x - 2y =10 x= 2, y= 1 Solve one equation for x. 3x = 4y + 8 x = (4y + 8)/3 Insert that value for x in the other
95. ## math

can someone correct these for me. 8x –4y = 16 y = 2x –4 My answer: This problem does not have a unique solution. This problem therefore is consistent and dependent These equations are the same. If you solve the first one for y, you will see that the
96. ## math

Part 1 In your own words, define the word “function.” Give your own example of a function using a set of at least 4 ordered pairs. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and 5.Explain why
### Content Structure
The text passage contains multiple questions and problems related to solving equations, particularly quadratic equations, and determining the number of real solutions. It also includes some solved examples and questions about the nature of solutions for given equations.

### Analysis
multiple_questions

the passage includes several distinct questions and problems, each requiring a different approach to solve. here are the key points:
1. **deciding values of \( b \) for real solutions in quadratic equations**:
   - the problems ask to find values of \( b \) that give one or more real number solutions for the given quadratic equations.
2. **solving equations by graphing and determining the number of real solutions**:
   - questions involve solving quadratic equations and determining the number of real solutions.
3. **solving inequalities**:
   - the passage includes problems on solving inequalities and determining the solution sets.
4. **comparing and contrasting solutions of quadratic equations**:
   - questions about the nature of solutions for quadratic equations, such as the number of real solutions and the conditions under which they occur.

each of these questions is distinct and requires a different method to solve, making it a collection of multiple questions.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Can someone help me solve this: Decide all values of b in the following equations that will give one or more real number solutions. (a) 3x^2+bx-3=0 (b) 5x^2+bx+1=0 (c) -3x^2 +bx-3=0 (d) write a rule for judging if an equation

126,872 results
1. ## algebra

Can someone help me solve this: Decide all values of b in the following equations that will give one or more real number solutions. (a) 3x^2+bx-3=0 (b) 5x^2+bx+1=0 (c) -3x^2 +bx-3=0 (d) write a rule for judging if an equation has solutions by looking at it

Can someone help me solve this: Decide all values of b in the following equations that will give one or more real number solutions. (a) 3x^2+bx-3=0 (b) 5x^2+bx+1=0 (c) -3x^2 +bx-3=0 (d) write a rule for judging if an equation has solutions by looking at it

Solve each equation by graphing the related function. If the equation has no real-number solution, write no solution. NOTE: when I write + it has a minus on the bottom too x^2+7=0 a. x= +7 b. x = +3.5 c. x= 0 d. no solution *** 3x^2=0 a. +3 b. +1/3 c. 0

1. Solve the system of equations y=2x^2-3 y=3x-1 a)no solution b)(-1/2,5),(2,-5/2) c)(-1/2,-5/2),(2,5)**** d)(1/2,5/2),(2,5) 2. How many real number solutions are there to the equation 0=-3x^2+x-4? a)0 ***** b)1 c)2 d)3 3.solve the equation by completing

8. p + 4 < –24 p < –20 p < 28 p < –28 p < 20 9.p/8 ≥ –5 p ≥ 40 p ≥ 3 p ≥ –13 p ≥ –40 10. –5p > –30 p > 6 p < 6 p > –35 p < 35 11. Which inequality matches the graph? 3x + 1 >
6. ## questions

1.) Why are there usually two solutions in quadratic equations? 2.) Under what situation would one or more solutions of a rational equation be unacceptable? If putting the found "solution" cannot be put back into the original equation without violating
7. ## Maths

1) Factorise x2 -6x +8 (the 2 is squared) 2) Hence solve this equation: x2 -6x +8 = 0 Also, what would the line look like on a graph with the equation y = 10/x Thankyou =) 1) x^2 - 6x + 8 factors are: (x - 2)(x - 4) -->look for possible factors of 8 and
8. ## college algebra--need help please!!

solve the equation in the real number system. 2x^4-23x^3+75x^2-88x+28=0 What are the real solutions of the equations? please show work. I do not know how to work this at all
9. ## math

compare and contrast: below are two equations. solve each equation and compare the two solutions. choose the statement that is true about each solution. equation #1 2x-3=-17 5x+3=12 A. equation #1 and equation #2 have the same number of solutions B.
10. ## Algebra

Compute the value of the discriminant and give the number of real solutions to the quadratic equation. 2x^2+5x-7=0 Discrimnant= number of real solutions=
11. ## Algebra2

Find the polynomials roots to each of the following problems: #1) x^2+3x+1 #2) x^2+4x+3=0 #3) -2x^2+4x-5 #3 is not an equation. Dod you omit "= 0" at the end? #2 can be factored into (x+1)(x+3) = 0, so the roots are x=-1 and -3. #1 Use the quadratic
12. ## algebra2

solve the equation: First: x + 3y = 5 Second: 3x - y = 5 should i use substitution or add them? "First" + 3 times "Second" eliminates y: x + 3y + 3*(3x - y) = 5 + 3*5 ---> 10 x = 20 ----> x = 2 Inserting in "First" gives: 2 + 3 y = 5 ---> 3 y = 3
13. ## algebra

how would i find an equation of a line that goes through points(1,6) and (3,10)?? thanks A straight line is y=mx+b Substitute the points to make two equations. 6=m(1)+b 10=m(3)+b Two equations; two unknowns, m and b. Solve for m and b, then plug back into
14. ## Equations Help

how many real number solutions are there to the equation y=5x^2+2x-12 how many real number solutions are there to the equation y=3x^2+18x+27 Can somebody tell me how to get the solutions?
15. ## Algebra II

1)What method(s) would you choose to solve the equation: x2 + 2x - 6 = 0 A. Square roots; there is no x-term. B. Quadratic formula, graphing; the equation cannot be factored easily since the numbers are large. C. Factoring; the equation is easily factored.
16. ## Algebra

Consider the equation: 4x^2 – 16x + 25 = 0 (a) Show how to compute the discriminant, b^2 – 4ac, and then state whether there is one real-number solution, two different real-number solutions, or two different imaginary-number solutions. (b) Use the
17. ## Algebra

Consider the equation 4x^2 – 16x + 25 = 0. (a) Show how to compute the discriminant, b^2 – 4ac, and then state whether there is one real-number solution, two different real-number solutions, or two different imaginary-number solutions. (b) Use the
18. ## algebra

5x-2y=-5 y-5x=3 substitution Substitute 5x +3 for y in the first equation, then solve it for x. Substitute 5x +3 for y in the first equation, then solve it for x. When I subsitute 5x+3 into the equation I get x=1/5 and y=2 is this correct? You are close!
19. ## Algebra 2

1. The roots of the quadratic equation z^2 + az + b = 0 are 2 - 3i and 2 + 3i. What is a+b? 2. Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find more than one pair, then list your pairs in order by increasing x value,
20. ## Math

Decide what values of the variable cannot possibly be solutions for each equation. Do not solve. 2x/x+1 + 3/5x+5=0
21. ## Math

Decide what values of the variable cannot possibly be solutions for each equation. Do not solve. 2/x+3 - 5/x-1= -5/x^2+2x-3
22. ## math

1. Solve for the indicated letter D=4e, for e The solution is e= 2. G(x) = 6/(6-5x) Choose the correct domain below {x|x is a real number and x ≠0} {x|x is a real number and x≠6/5} {x|x is a real number and x≥6/5} {x|x is a real number
23. ## Math

Given that the equation x^2(3-x) has 3 real solutions of k, give the set of possible values for k.
24. ## Math

Can someone please check my work for me? Write an equation of the line satisfying the given conditions. 9) Intersects the line y = 2 + 3x at infinitely many places. 9) A) y = -3x + 2 B) y = 2x + 3 C) y = -1/3x + 2 D) y = 2 + 3x Is the answer A Use the
25. ## Equations

How many real number solutions does the equation have y=3x^2+18x+27 none one two infinite
26. ## algebra

Solve the equation using the zero-product property. -9n(5n-5) a. -1/9, 1 b. 0,1***** c. -1/9,-1 d. 0,-1 Use the quadratic formula to solve the equation. if necessary, round to the nearest hundredth. x^2-6=x a. x=2,3 b. x=-2,3 ***** c. x=2,-3 d. x=-2,-3 How
27. ## Factoring

What does 3x^3-3x+2=0 come out to? How would I solve this? Is the x cubed supposed to be x squared? You can compare the equation with the identity: (a+b)^3 = a^3 + 3 a^2 b + 3 a b^2 + b^3 which you can rewrite as: (a + b)^3 = 3 ab (a + b) + a^3 + b^3 (1)

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. Okay so that is the question, I know it's already on Jiskha but I need it to be
29. ## Algebra

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. Okay so that is the question, I know it's already on Jiskha but I need it to be
30. ## algebra

Coulld someone take the time and check my answers please. 11) without graphing is the system independent, dependent, or inconsistent? y=-x+5 -3x-3y=-15 (my answer; dependent) 12) your club is baking vanilla and chocolate cakes for a bake sale. they need at

please help me solve these 1. 2√5/8 + 4√3/8 - 1/2√68 2. √4k-5 +1=8 (the radical sign goes over 4k-5) 3. (x+4)*2 /3 =8 4. Write the value of the discriminant of each equation. Then use it to decide how many different real-number
32. ## Algebra

A physics student stands at the top of a hill that has an elevation of 37 meters. He throws a rock and it goes up into the air and then falls back past him and lands on the ground below. The path of the rock can be modeled by the equation y = -0.02x^2 +
33. ## math

just an algebra question. how would you solve: (3x^2 +5)(3x^2 +5) ^ means power :] Since you have not given us an equation, it is impossible to "solve" your problam. Please repost with the complete equation, so we can help you. I hope this helps a little.
34. ## math

Solve the equation by completing the square. If the solutions are real, give exact and approximate answers. Otherwise, list the exact solutions. 7x^2-4x+1=2x^2-7x+3 Please help!!!!! :(
35. ## How do I do this.?(Math.)

Use the Substitution method to solve the system of equations. y - 2x = -5 3y - x = 5 Solve one of the equations for x or y. Let's solve the first one for y: y - 2x = -5 y = 2x - 5 Now let's substitute 2x - 5 for y in the second equation to solve for x:
36. ## math

Solve the equation by completing the square. If the solutions are real, give exact and approximate answers. Otherwise, list the exact solutions. 2y^2=-12y-3 Please help!!!!!!:(
37. ## math

Solve the equation by completing the square. If the solutions are real, give exact and approximate answers. Otherwise, list the exact solutions. 12x=-3x^2-14 Please help!!!!! :(
38. ## Algebra

How many real number solutions does the equation have? y=-4x^2+7x-8 A. no solutions B. one solution C. two solutions D. infinitely many solutions I think it is C..? How many real number solutions does the equation have? y=2x^2-20x+50 A. no solutions B. one
39. ## math

Not sure about this... Need to solve by substitution 8x - 4y = 16 y = 2x -4 Substitute 2x -4 for y in the first equation and solve the resulting equation for x. 8x - 4(2x-4) = 16 16 = 16 The two equations are not independent. One can be derived fron the
40. ## Geometry :(

this maths problem is wrecking my head.... 1.find the points of interesction of the line L and the circle k in the following L:x-2y=0 K:X Squared + y squared=25 I would solve both equations for y, and then you'll have a system with two equations and two
41. ## Math help

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions.
42. ## Algebra 2

Find all the values of j such that the quadratic equation 5x^2+x+4j=0 has no real solutions. Write your answer as an equality or inequality in terms of j.
43. ## Math

How many real number solutions does the equation have? y=3x^2-5x-5 A)one solution B)two solutions C)no solutions D)infinitely many solutions I can't figure this question out. Any help would be amazing.
44. ## math

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. I have no idea?
45. ## Math

1. –9p – 17 = 10 (1 point) –3 16 18 –16 2. w over four – 4 = 3 (1 point) –4 28 3 11 3. d over three+ 10 = 7 (1 point) 51 20 0 –9 4. –2(m – 30) = –6m (1 point) –15 –13 –8 8 5. 3n + 2= 8 + 2n (1 point) 3 4 5 6 Simplify the
46. ## Math

1)How many real number solutions does the equation have? -8x^2-8x-2=0 A) One Solution B) Two Solutions C) No solutions D) Infinitely many solutions If someone could help me with this that would be great since I am confused. Thank you!
47. ## algebra,math

Solve the equation. Check both solutions and only write the real solution. the square root of 6m minus 5 = m A. {1} B. {5} C. {1, 5} D. no real solution I think its B
48. ## Algebra

How many real number solutions are there to the equation 0=-3x^2+x-4 A) 0***** B) 1 C) 2 D) 3 Help on how to solve this.
49. ## Electrochemistry

I have an electrochem based question. I'm trying to solve for E* based on a chart in my book. I know the equation for solving this is E*= E*ox + E*red. The chart in my book gives a list of reactions and a E*red value. My teacher told us that the greater,
50. ## pre algebra

1. Solve the equation. –9v – 5 = –95 (1 point) 17 11 10 –10 2. Solve the equation. x over four – 5 = –8 (1 point) –27 –12 –7 12 3. Solve the equation. p over five + 6 = 10 (1 point) 44 30 20 –20 4. Solve the equation. –2(m – 30) =
51. ## math---help! 1 question

pls help me! 21. Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. (3 points)
52. ## Math help please Ms. Sue agian

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. (3 points) I need help with this one too. Thank you! :)
53. ## Math

How many real-number solutions does the equation have? –7x2 + 6x + 3 = 0 one solution two solutions*********** no solutions infinitely many solutions
54. ## Algebra

It is possible for a quadratic equation to have no real-number solutions:Solve : x2 + 5x + 3 = 0
55. ## Discrete Math

I am really stuck on these problems. I've worked a lot of them but I can't get these. Sometimes I think I know the answer but I can't show how I got it. 1.) Solve each matrix equation for X. 2X + 5A = B 2.) Find the following matrices: a. AB b. BA A= 2 4 3
56. ## Algebra 2(check pt 4)

1)Cramer's Rule is used to solve the system of equations:3m-5n=12,4m+7n=-5 Which determinant represents the numerator for n? answer=[12 -5] [-5 7] 2)Cramer's Rule is used to solve the system of equations:3x-y+2z=17,4x+2y-3z=10,and 2x+5y-9z=-6 Which
57. ## Algebra 1B

Can you give me the steps to the answer? How many real number solutions are there to the equation 0 = –3x² + x – 4? 0 1 2 3
58. ## Math ~CHECK MY WORK PLEASE~

Hello, Please check my answers, with stars (*) are my answers! Please check if they are wrong please tell the right answer and why it is right (explain it) so I can understand why! Thanks! For questions 1-2, solve the inequality. 1.) x + 8 < -28 a~ x
59. ## math

how many real number solutions does the equation have y = -4x^2 + 7x - 8 no solutions (is it this one) one solution two solutions infinitely many solutions
60. ## Math

For the following equation, state the value of the discriminant and then describe the nature of the solutions. -9x^2+6x-2=0 what is the value of the discriminant? Which one of the statements below is correct? A) the equation has two imaginary solutions. B)
61. ## maths

For what natural number of x and y the equation 2x+5y-7=0 has unique solutions? If the values are taken from collection of real numbers do you think the equation has unique solution
62. ## Math

I am really have a tough time trying to solve this problem. I think my first three steps are correct but I am not sure. Could someone please help me? I got lost somewhere on one of these steps. I thonk it was step 3, 4, 5. Thank you. The two numbers chosen
63. ## help!

Can you please give me one of them so I cansolve for the other one?PLease! The general formula for a straight line is y = mx + b. Just plug the points into the equation to arrive at two equations. 6=2m+b 10=4m+b you have two equations and two unknowns.
64. ## math

Can someone help me figure this out. The difference of two numbers is 80. The second is 8 less than 5 times the first. What are the two numbers? first write an equation 5x-8=y and then solve it Tiff gave you part of the solution. 5x-8=y However, there is
65. ## algebra

It is possible for a quadratic equation to have no real-number solutions. Solve. t^2+10t+26=0
66. ## algebra

determine the nature of the solutions of the equation, one real solution, two real solutions, or two non-real solutions. x^2-20x+100=0
67. ## Mat/117 DQ1

How do you know if a quadratic equation will have one, two, or no solutions?Please give examples. How do you find a quadratic equation if you are only given the solution? Please give an example.Is it possible to have different quadratic equations with the
68. ## Algebra

For the following equation, state the value of the discriminant and then describe the nature of the solutions. -7x^2+3x-4=0 What is the value of the disriminant? Does the equation have two imaginary solutions, two real solutions, or one real solution?
69. ## Calculus

Solve the equations below exactly. Give your answers in radians, and find all possible values for t in the interval 0≤t≤2π. If there is more than one answer, enter your solutions in a comma separated list. (a) sin(t)=2/√2 when t= (b) cos(t)=1/2 when
70. ## Calcalus

Solve the equations below exactly Give your answers in radians, and find all possible values for t If there is more than one answer, enter your solutions in a comma separated list (a) sin(t)= sqroot(2)/2 when t= (b) cos(t)=1/2 when t= (c) tan(t)=-1 when t=
71. ## algebra

For the following equation, state the value of the discriminant and then describe the nature of the solutions. -2x^2+3x-7=0 What is the value of the discriminant? Which one of the statements below is correct? The equation has two imaginary solutions. The
72. ## Math

Can you Check my work please? Let N(t) be the number of bacteria after t days. Then N(t) = Pa^t for some constants P and a. Measurements indicate that N(4) = 5600 and N(8) = 362, 000. b. Write down two equations for P and a, one when t = 4 and the other
73. ## Math 2 questions :/

Which of the following equations has an infinite number of solutions? 3x ¨C 3 = ¨C4x 2y + 4 ¨C y = 16 7x + 5 = 4x + 5 + 3x 6y ¨C 2 = 2(y ¨C 1) Write the inequality and solve for the following problem: The result of 6 subtracted from a number n is at
74. ## Math urgent! :( plz help

3. Which of the following equations has an infinite number of solutions? 3x - 3 + -4x 2y+ 4 -y = 16 7x + 5 = 4x + 5 + 3x 6y -2 =2 (y-1) Write the inequality and solve for the following problem: The result of 6 subtracted from a number n is at least 2 n -
75. ## college algebra

Using Systems of Equations. Please help!!! I'm not sure what steps to do, to work this problem. #7) Five hundred tickets were sold for a school play, which generated \$3560 in revenue. The prices of the tickets were \$5 for children, \$7 for students, and \$10
76. ## Algebra

how many real number solutions does this equation have? -7x^2+6x+3=0 How many real number solutions does the equation have? 0=3x^2+18x+27
77. ## Pre-Algebra [repost ]

I need help on these three questions BEFORE 10:00 PM. Please someone show me how to do them step by step! Solve the equation for y in terms of x then find the solutions of the equation for the given values of x. 1.x + y = -1 [values of x: 3, 1, -2] 2.x+ 4y
78. ## ALGEBRA

The table below shows two equations: Equation 1 |3x - 1| + 7 = 2 Equation 2 |2x + 1| + 4 = 3 Which statement is true about the solution to the two equations? Equation 1 and equation 2 have no solutions. Equation 1 has no solution and equation 2 has
79. ## Math

A set of homogeneous simultaneous equations is given by x + ky = 0 kx + 3y = 0 Calculate the two values of k that lead to non-trivial solutions to these equations and express y in terms of x for the two values. I thought that for the solutions to be no
80. ## Mathxxx!!!

1. How many solutions does the equation have? 4x+3=2(2x+9) a.one solution b.no solution c. infinite number of solutions d. impossible to determine 2. How many solutions does the equation have? 4x+19=-9-6x a.one solution b.no solution c. infinite number of
81. ## Math/ Algebra

Give an example of a function using a set of at least 4 ordered pairs. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and 5. Explain why your example models a function. Give an example of at least
82. ## equations

decide whether each equation is true or false.For each true equation,write the number property shown by the equation.0+6=6
83. ## Math

How do I write the Symmetric Equation of a line given the following parametric equations: (where t is a scalar) x=0t y=0t z=1+1t I know normally I would solve each equation for t and set the equations equal to one another. However, I can not solve for t in
84. ## Math

How do I write the Symmetric Equation of a line given the following parametric equations: (where t is a scalar) x=0t y=0t z=1+1t I know normally I would solve each equation for t and set the equations equal to one another. However, I can not solve for t in
85. ## Algebra 1

Explain why the two equations below have the same solutions. x + 3y = −1 −2x − 6y = 2 A. The two equations have the same slope, so they have the same solutions. B. The second equation is a multiple of the first equation, so they have the
86. ## CountIblis, can i bother you

Countiblis, i know that you might be busy do you mind if i ask you the following for help.Only if you can please. can you explain to me just one more thing so i can undestand it. Now i have an equation which is : 3x = 3x + 5 which I know has no solution to
87. ## Math

The planning committee for the upcoming school play “Miss-terious” at LMSA asked the mathematics classes to give them some estimates about income that could be expected at different ticket price levels. The class did some market research to see what
88. ## economics

Suppose that the following equations describe an economy (C, I, G, T, and Y are measured in billions of dollars and r is measured in percent; for example, r = 10 C=170+0.6(Y-T),T=200,I=100-4r,G=350 (M/P)d=L=0.75Y-6r, (M/P)s=735 a. Derive the equation for
89. ## algebra 1

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. Part B: Make tables to find the solution to 4x = 2x−2. Take the integer values of x
90. ## math

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. Part B: Make tables to find the solution to 4x = 2x−2. Take the integer values of x
91. ## Algebra

Find the number of the solutions to each system. a. 4x-y+1=0 4x-y+3=0 b. 2x-y+4=0 4x-2y+8=0 Write a question that can be solved using a system of linear equations. Solve the following system of equations by graphing: y=x+3 and y=-2x-3
92. ## math

Explain why the simultaneous equations y=1/2x+2 and 2y-x:4 have an infinite number of solutions. What is diffrent about these equations compared with the equations in the first question ( the equations were y=2x+3 and 5y-10x=5)? What is similar? ( include
93. ## Math

You are given two equations which are both true, and you are asked to solve for both x and y. You plan to solve this set of equations by substituting part of one equation into the other so you end up with an equation that contains only x's or only y's. The
94. ## Math

Solve the system by addition or substitution. 3x – 4y = 8 6x – 2y = 10 Please get me on the correct track for 3x -4y =8 x=4, y=1 for 6x - 2y =10 x= 2, y= 1 Solve one equation for x. 3x = 4y + 8 x = (4y + 8)/3 Insert that value for x in the other
95. ## math

can someone correct these for me. 8x –4y = 16 y = 2x –4 My answer: This problem does not have a unique solution. This problem therefore is consistent and dependent These equations are the same. If you solve the first one for y, you will see that the
96. ## math

Part 1 In your own words, define the word “function.” Give your own example of a function using a set of at least 4 ordered pairs. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and 5.Explain why
user
### Content Structure
The text passage contains multiple questions and problems related to solving equations, particularly quadratic equations, and determining the number of real solutions. It also includes some solved examples and questions about the nature of solutions for given equations.

### Analysis
TYPE: MULTIPLE_QUESTIONS

The passage includes several distinct questions and problems, each requiring a different approach to solve. Here are the key points:
1. **Deciding values of \( b \) for real solutions in quadratic equations**:
   - The problems ask to find values of \( b \) that give one or more real number solutions for the given quadratic equations.
2. **Solving equations by graphing and determining the number of real solutions**:
   - Questions involve solving quadratic equations and determining the number of real solutions.
3. **Solving inequalities**:
   - The passage includes problems on solving inequalities and determining the solution sets.
4. **Comparing and contrasting solutions of quadratic equations**:
   - Questions about the nature of solutions for quadratic equations, such as the number of real solutions and the conditions under which they occur.

Each of these questions is distinct and requires a different method to solve, making it a collection of multiple questions.