1 - JustAnswer



1. Solve for x

3x^2=-8x-4 x=________________ (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type N if there is no solution.)

-2, [pic]

2. a) Solve 3x^2-5x-7=0. What are the solutions? x=____________ (Simplify your answer. Type exact answers, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.)

[pic] -- you might have to split them into two fractions each, but the answer is the same: 5/6 + sqrt(109)/6 and t5/6 – sqrt(109)/6

b) Find the x intercept of f(x)= 3x^2-5x-7. What are the x intercepts? _________(Type an ordered pair. Simplify your answer. Type exact answers, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.)

[pic]

3. Find and label the vertex and the line of symmetry. f(x)=4x^2

a) the vertex is (0, 0) Type an ordered pair.)

b) the equation of the line of symmetry is x= 0

[pic]

4. Give exact and approximate solutions to three decimal places. x^2+6x+9=1 What are the exact solutions x= -4, -2 (Type exact answers, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.) There are no approximate solutions since the solutions are integers.

5. Determine the nature of the solutions to the equation 2t^2-7t=0

a) 2 real solutions

6. A student opens a math book to two facing pages. The product of the page numbers is 812. Find the page numbers.

The first page is 28

The second page is 29

7. a) Solve 3x^2=6. What are the solutions? x= [pic] (Type exact answers, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.)

b) Find the x intercept of f(x)= 3x^2=-6. What are the x intercepts? _________(Type an ordered pair. Type exact answers, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.)

Did you have a typo here… shouldn’t the -6 be a 6?

If so:

[pic]

8. Find the x-and-y intercepts. f(x)=-x^2+2x+8

The x-coordinates of the intercepts are x= -2, 4 (use a comma to separate answers. Type N if there is no intercept.)

The y-intercept is (0, 8) (Type N if there is no intercept.)

9. Find the vertex and the line of symmetry, the maximum or minimum value of the quadratic function. f(x)=2x^2-20x+54

the vertex is (5, 4) (Type an ordered pair.)

Chose the correct line of symmetry

d) x= 5

The minimum of f(x) is 4

Is the value f(5)=4 a minimum?

[pic]

10. A farmer decides to enclose a rectangular garden, using the side of the barn as one side of the rectangle. What is the maximum area the farmer can enclose with 100 ft. of fence? What should the dimensions of the garden be to give this area?

The area that the farmer can enclose with 100 ft. of fence is 1250 sq ft.

The dimensions of the garden to give this area is 50 ft. by 25 ft.

11. Give exact and approximate solutions to three decimal places (x-8)^2=18 What are the exact solutions x=___________ (Type exact answers, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.)

[pic]

What are the approximate solutions? x= 12.243, 3.757 (Use a comma to separate answers as needed. Round to the nearest thousandth as needed)

12. Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).

f(x)=-(x+1)^2-7

The vertex is (-1, -7) (Type an ordered pair.)

The line of symmetry is x= -1

The maximum value of f(x) is? -7

Is the value f(-1)= -7 a maximum

[pic]

13. Determine the nature of the solutions to the equation x^2-13=0

a) 2 real solutions

14. Blank

15. Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).

f(x)= 1/2 (x+2)^2+7

The vertex is (-2, 7) (Type an ordered pair.)

The line of symmetry is x= -2

The minimum value of f(x) is? 7

Is the value, f(-2)= 7, a minimum?

[pic]

16. The length of a rectangle is twice the width. The area is 578yd^2. Find the length and width.

The length is 34 yd. (Simplify)

The width is 17 yd. (Simplify)

17. Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax^2+bx+c=0.

Solution 10, only solution. The equation is x2 - 20x + 100=0

18. Find the vertex, the line of symmetry, and the maximum or minimum value of the quadratic function f(x)= x^2 -6x-1

The vertex is (3, -10) (Type an ordered pair.)

The line of symmetry is x= 3

The minimum value of f(x) is? -10

Is the value, f(3)= -10, a minimum?

[pic]

19. Find the vertex, the line of symmetry, and the maximum or minimum value of the quadratic function f(x)= 3x^2 -12x+20

The vertex is (2, 8) (Type an ordered pair.)

The line of symmetry is x = 2

The minimum value of f(x) is? 8

Is the value, f(2)= 8, a minimum?

[pic]

20. Find the vertex and line of symmetry. f(x)= (x+3)^2

The vertex is (-3, 0) (Type an ordered pair.)

The equation of the line of symmetry is x = -3

[pic]

21. Solve the formula for the given variable. Assume all variables represent nonnegative numbers. A=3s^2,for s. Chose the correct value of s.

a) [pic]

22. Give exact and approximate solutions to three decimal places. x^2-7x+9=0

What are the exact solutions x = [pic] if need be, you can split this like I showed in #2. (Use radicals as needed. Use a comma to separate answers as needed.)

What are the approximate solutions? X= 5.303 and 1.697 (Use a comma to separate answers)

23. Solve by completing the square. [pic] What is the solution? x=_______________(Type a simplified fraction. Type exact answers, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.)

= [pic] if need be, you can split this like I showed in #2.

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