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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