1 - JustAnswer



1. Solve: [pic] [pic]The solution is 6 (Simplify your answer, type an integer or fraction. Type N if there is no solution)

2. Multiply. [pic] The answer is 15x^3+64x^2+89x+40 (simplify your answer)

3. Divide and simplify. [pic] = [pic] (Type exponential notation with positive exponents)

4. Subtract. Simplify by collecting like radical terms if possible. [pic]= 30 sqrt 5 (Simplify your answer. Type an exact answer, using radicals as needed.)

5. Solve. [pic] The solution is x = _______ (Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use a comma to separate answers as needed. Type N if there is no solution.)

sqrt 10 , - sqrt 10 , sqrt 15 , - sqrt 15

5 5 5 5

6. Simplify by removing factors of 1. [pic] The simplified form is

r-6

r+6

7. Use rational exponents to simplify. [pic]= x^3 (Simplify your answer.)

8. Express using a positive exponent. [pic]= ______ (Simplify your answer. Type a positive exponent.)

1

d^9

9. Subtract the polynomials. [pic] = -19w^2+6w (Simplify your answer.)

10. Solve. [pic]> 0 The solution set is {x/ -7 < x < -4 or x > 20} (Use at least one inequality or compound inequality to express your answer. For answers with more than one inequality, separate the inequalities by a comma or the word ‘or’. Type R if the answer is all real numbers. Type N if there is no solution.)

11. Factor completely. [pic] = 5(4a+5d)(4a+5d)

12. Divide and simplify. [pic] The answer is _________. (Simplify your answer. Use integers or fractions for any numbers in the expression.)

77z

2

13. Perform the indicated operations and simplify. [pic]=_______.

6

y+5

14. Multiply. [pic]= b^3+t^3 (Simplify your answer.)

15. Identify the degree of each term of the polynomial and the degree of the polynomial. [pic] The degree of the first term is 3 The degree of the second term is 2 The degree of the third term is 1 The degree of the fourth term is 0 The degree of the polynomial is 3

16. Add. Simplify if possible. [pic] = ________. (Simplify your answer.)

s^2+12s

s^2-9

17. Divide. [pic]

7b^2-2b+9+9/(6b+5)

18. Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard for m, [pic]. Solution: 4, only solution. The equation is x^2-8x+16 = 0

19. Multiply. [pic]= a^2+7/10 a + 1/10 (Simplify your answer.)

20. If a pro basketball player has a vertical leap of about 20 inches, what is his hang time? Use the hang-time function [pic]. His hang-time is 0.6 seconds. (Simplify your answer. Type an integer or decimal. Round to the nearest tenth.)

21. Solve. [pic]. The solution is s = -9, 3 (Use a comma to separate answers as needed. Type N if there is no solution.)

22. Multiply and simplify [pic]= _______. (Type exponential notation with positive exponents.)

2y

y-1

23. Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. [pic] = [pic] (Simplify your answer. Type an exact answer, using radicals as needed.)

24. Subtract. Simplify, if possible. [pic] = _________. (Simplify your answer.)

3w-2

w-8

25. If the sides of a square are lengthened by 8 cm, the area becomes 144 [pic]. Find a length of a side of the original square. The length of a side of the original square is 6 cm.

26. Multiply and simplify. Assume variables represent nonzero real numbers. [pic] = [pic] (Simplify your answer. Type exponential notation with positive exponents.)

27. Jack usually mows his lawn in 4 hours. Marilyn can mow the same yard in 3 hours. How much time would it take for them to mow the lawn together? They could mow the lawn in 1 5/7 hours if they worked together.

28. Simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. [pic] = [pic] (Type an exact answer, using radicals as needed.)

29. Add.

[pic] The answer is r^5-3r^4+6r^3+10r^2+4r-9 (Simplify your answer.)

30. Rewrite the following expression with positive exponents. [pic]

1

(24xy)^9/10

31. Simplify. [pic] = -1/2 (Simplify your answer. Type a fraction or integer. Type N if the root is not a real number.)

32. Solve. [pic] The solution is: v = -3, 9 (Use a comma to separate answers. Type N if there is no solution.)

33. Use the quadratic formula to solve the equation. [pic] The solution set is {_____}. (Simplify your answer. Type an exact answer, using radicals as needed. Express complex numbers in terms of i and use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

[pic]

34. Factor completely. [pic]_______. (Type N if the expression is not factorable.)

I think you made a typo… I bet it’s 25c^2, not 5.

If so:

(5c-9)(5c-9)

35. Television sets. What does it mean to refer to a 20-in. TV set or a 25-in. TV set? Such units refer to the diagonal of the screen. A 20 in. TV set also has a width of 16 inches. The height of a 20-in. TV is 12 inches.

36. Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. [pic] = [pic] (Simplify your answer. Type in radical form.)

37. Find the following. [pic] = 2 (Simplify your answer. Type N if the root is not a real number.)

39. Multiply. [pic]= -255 (Simplify your answer. Type an exact answer, using radicals as needed.)

40. In a right triangle, find the length of the side not given. b = 1, c = [pic] The length of the third side is 5 (Simplify your answer. Type an exact answer, using radicals as needed.)

41. Evaluate the polynomial for x = 2. [pic]

When x = 2, [pic] = 8 (Simplify your answer.)

42. Factor out the greatest common factor. [pic].

The factorization is 5x^3(x^2-8x+3) (Type your answer in factored form.)

43. Use rational exponents to write [pic] as a single radical expression.

12throot(x^3y^6z^4)

44. Factor completely. [pic] = (7v-3)(7v+3) (Type N if the binomial is not factorable.)

45. Solve. [pic] The solution is x = __________. (Simplify your answer. Use a comma to separate answers. Type exact answers, using radicals as needed. Type N if there is no solution.)

-3+sqrt 13, -3-sqrt 13

46. Simplify by removing factors of 1. [pic] The simplified form is __________.

m+1

6m+7

47. Factor. [pic] = (c+9)(c+9) (Type N if the trinomial is not factorable.)

48. Find the following. Assume that variables can represent any real number. [pic]=

|a+9|

49. Solve. [pic] The solution is x = 5 (Use a comma to separate answers. Type N if the solution is not a real number.)

50. Factor. [pic] = (s-5)(s-3) (Type N if the trinomial is not factorable.)

51. Find the greatest common factor for the group of terms [pic] The greatest common factor is 11a^2

52. Find the vertex, line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. [pic]

The x-coordinate of the vertex is 1/2 (Type a simplified fraction.)

The y-coordinate of the vertex is 15/2 (Type a simplified fraction.)

The equation of the line of symmetry is x = 1/2 (Type a simplified fraction.)

The max/min of f(x) is 15/2 (Type a simplified fraction.)

The value, [pic] is? Maximum

[pic]

53. Add. [pic] The answer is

-2x^2-7xy-2y^2

54. A) Solve. [pic] What are the solutions? x = __________. (Type an exact answer using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i and use a comma to separate answers as needed.)

B) Find the intercepts of [pic] What are the x-intercepts? _________. (Type an ordered pair. Type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i and use commas to separate answers as needed. Type N if there are no x-intercepts.)

sol: sqrt 3, -sqrt 3

Inter: (sqrt 3, 0), (-sqrt 3, 0)

55. Factor the trinomial. [pic] The answer is r(r-9)(r+4) (Type N if the trinomial is not factorable.)

56. Use the FOIL method to find the product. [pic] = 5x^15-8x^9-40x^6+64

57. For the following equation, state the value of the discriminate and then describe the nature of the solutions. [pic]

The value of the discriminate is -24

The equation has two imaginary solutions

58. Multiply. [pic] = 72z^29

59. Find a polynomial for the perimeter and for the area. Of four sides, side a = [pic]

And side b = x.

The perimeter is 4x+20 (Simplify you answer. Do not factor.)

The area is x^2+10x Simplify you answer. Do not factor.)

60. Find all numbers for which the rational expression in undefined. [pic]

The numbers for which the rational expression in undefined are -7, 7 (Use a comma to separate answers.)

61. Convert to decimal notation. [pic] = 85400000 (Simplify your answer. Type an integer to decimal.)

62. Find the variation constant and an equation of variation where y varies directly as x and y = 12 when x = 4.

The variation constant is 3

The equation of variation is y = 3x

63. Find the vertex, line of symmetry, the maximum or minimum value of f(x). Graph the function.

You didn’t post the equation… but based on the question I can help with a couple parts.

The vertex is (-4, 4) (Type an ordered pair.)

The line of symmetry is x = -4

What is the max/min value of f(x)? 4

Is the value f(-4) = 4 a minimum or maximum? __________.

64. Rewrite with a rational exponent. [pic] = 211/6 (Simplify your answer.)

65. Solve for x. [pic] x = -2, -1 ((Simplify your answers. Use a comma to separate answers. Type N if there is no solution.)

66. Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers. [pic] = [pic] (Type an exact answer, using radicals as needed. Type N if the root is not a real number.)

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