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I need answers to my math 117 final exam.

2.) Jack usually mows his lawn in 3 hours. Marilyn can mow the same yard in 5 hours. How much time would it take for them to mow the lawn together?

They could mow the lawn in _____ hours if they worked together. (simply answer. type an integer, proper fraction, or mixed number)

3.) Solve.

v(5x+29) = x+3. The solution is x= ____ (simply your answer. use a comma to separate answers as needed.)

4.) Rewrite with a rational exponent.

?19 (the exponent is a ‘3’)

5.) Factor completely. 3x5 - 27x4 + 21x³.

The complete factorization is _______. (type answer in factored form)

6.) Use the quadratic formula to solve the equation.

2x² - 3x = -3

The solution set is { __ } (Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

7.) Convert to decimal notation.

8.46 x 107

8.) Rationalize the denominator. Assume that all expressions under radicals represent positive numbers: va- vb

va + vb

(Simplify your answer. Type an exact answer, using radicals as needed.)

9.) Solve. 25x4 - 15x² + 2 = 0. 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.)

10.) If a pro basketball player has a vertical leap of about 25 inches, what is his hang time? Use the hang-time function V= 48 T².

His hang time is __ seconds.

(Simplify your answer. Type an integer or a decimal. Round to the nearest tenth.)

11.) Simplify by removing factors of 1.

8m² + 8m

72m² +64m

Simplified form is:

12.) Factor completely. c² + 18c + 81

13.) Subtract. Simplify by collecting like radical terms if possible. 8v8 - 8v2 (simplify, use radicals as needed.)

14.) Find the greatest common factor for the group of terms: -18a², 3a4

15.) Simplify: v(5&(-1)/(-3125))

16.) Solve. (x + 11) (x-8) (x+10) > 0. The solution set is {x| __}

17.) Perform the indicated operations and simplify:

(y-3)/(y-7)-(y+1)/(y+7) + (y-63)/(y²-49)

18.) Solve. c² - 3c – 40 = 0 The solution is c= __ (Use a comma to separate answers as needed.)

19.) Find the following.

v(18&?(-6)?^18 ) (Simplify your answer)

20.) Multiply and simplify. Assume variables represent nonzero real numbers.

b^12 • b^0 (Simplify your answer. Type exponential notation with positive exponents.)

21.) Factor completely. 25m² + 4 – 20m

23.) Evaluate the polynomial for x=2. 2x²-5x +1 (Simplify your answer.)

24.) Find all numbers for which the rational expression is undefined.

q^3- 6q

q^2- 81 The numbers for which the rational expression is undefined are ___ .

25.) Identify the degree of each term of the polynomial and the degree of the polynomial:

-9x³ + 3x² +8x +4

1. The degree of the first term is ___ .

2. The degree of the second term is ___ .

3. The degree of the third term is ___ .

4. The degree of the fourth term is ___ .

5. The degree of polynomial is ___ .

26.) Multiply. (7x+9)(8x²+8x+9) Simplify your answer.

29.) Solve. x² + 6x – 4 = 0 The solution is x = ___ . (Simplify your answer. Use a comma to separate answers as needed. Type an eact answer using radicals as needed. Type each solution only once.)

30.) Divide and simplify. (Type exponential notation with positive exponents.)

a^2

a^15

31.) Find the variation constant and an equation of variation where y varies directly as x and y = 5 when x = 1.

1. The variation constant is k = ___

2. The equation of variation is y = ___

32.) For the following equation, state the value of the discriminant and then describe the nature of the solutions: -19x² + 7x – 18 =0

What is the value of the discriminant?

Which of the statement is correct:

a) the equation has two imaginary solutions

b) the equation has one real solution

c) the equation has two real solutions.

33.) Multiply: (4v6 - 8v3) (5v6 + 10v(3)) (Simplify answer)

34.) Find the following. Assume that variables can represent any real number. v((a+9)²)

35.) Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax²+bx +c = 0. Solution: 10, only solution.

36.) Factor: 36-12t +t² (factor completely)

37.) Factor completely: 16v²-121 (factor completely)

40.) Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. ?(y^10 ) ?(?16y?^11 ) (Simplify. Type in radical form)

41.) Add. (4x² - 4xy + y²) + (-9x²- 8xy - y²) + (x² + xy – 9y²)

42.) Subtract the polynomials. Simplify answer. (-4r² + 9r +2) – (9r²+2)

43.) Find the x-intercepts for the graphs of the equation y=x²+2x-3. (Type an ordered pair)

44.) Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. F(x)= -2x² +2x +7

1. The x-coordinate of the vertex is __ (Simplified fraction)

2. The y-coordinate of the vertex is __ (Simplified fraction)

3. The equation of the line of symmetry is x= __ (Simplified fraction)

4. The maximum/minimum of f(x) is ___ (Simplified fraction)

5. The value, f(1/2) = 15/2 is? (minimum or maximum?)

45.) If the sides of a square are lengthened by 7 cm, the area becomes 169 cm². Find the length of a side of the original square. The length of a side of the original square is ___ cm.

46.) Divide. (24b³ + 16b² +28b +44) ÷(4b +4)

choose correct answer:

a. 6b + 9

b. 6b² +2b + 9

c. 6b² - 2b – 9 - 8/(4b+4)

d. 6b² - 2b + 9 + 8/(4b+4)

47.) Subtract. Simplify if possible:

(2-y)/(y-6) - (8y-5)/(6-y)

48.) Use rational exponents to simplify. Complete the expression: v(5&x^10 )

49.) Multiply. (v+t) (v² - vt +t²) (Simplify your answer)

50.) use the FOIL method to find the product: (5x² - 4)(x8 - 3)

51.) Simplify by removing factors of 1.

(n²-9)/((n+3)²)

53.) Solve. 6/w = 7/w - 1/2 (Simplify your answer. Type an integer or fraction)

54.) Simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers.

v50a²b (type an exact answer, using radicals as needed.)

55.) Express using a positive exponent: v^(-4)

56.) Solve for x: 4x(x-8)-5x(x-7) = -4 (Simplify your answer, use a comma to separate answers as needed.)

57.) a. Solve 3x² = 15 (what are the solutions?) x= ___ .

b. Find the x-intercepts of f(x)= 3x² -15 . The x-intercepts are: _____ .

58.) Divide and simplify: (2v-6)/55 ÷ (v-3)/25v (Simplify. Use integers or fractions for any numbers in the expression.)

59.) Add.

(2c4 - 4c³ +2c² +12c-8) + (c5+11c³+7c-2c+6) + (-5c4+c²-8c-6) (Simplify answer.)

60.) Multiply: (-2x)² (3x²)²

61.) Multiply.

(w+ 1/3 ) (w+ 1/5 ) (Simplify your answer)

62.) Factor the trinomial. s³-3s²-54s (Factor completely.)

63.) Factor Completely: 252s² + 588st +343t²

64.) Solve. w²+w-12=0

The solution(s) is/are w= ____ (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each solution only once.)

65.) Multiply and simplify. (Type exponential notation with positive exponents.)

36c²/(2c²-12c+18) • (2c-6)/6c

66.) In a right triangle, find the length of the side not given. (Simplify your answer. Type an exact answer, using radicals as needed.)

b=1, c=v26

2.) Jack usually mows his lawn in 3 hours. Marilyn can mow the same yard in 5 hours. How much time would it take for them to mow the lawn together?

They could mow the lawn in _____ hours if they worked together. (simply answer. type an integer, proper fraction, or mixed number)

3.) Solve.

v(5x+29) = x+3. The solution is x= ____ (simply your answer. use a comma to separate answers as needed.)

4.) Rewrite with a rational exponent.

?19 (the exponent is a ‘3’)

5.) Factor completely. 3x5 - 27x4 + 21x³.

The complete factorization is _______. (type answer in factored form)

6.) Use the quadratic formula to solve the equation.

2x² - 3x = -3

The solution set is { __ } (Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

7.) Convert to decimal notation.

8.46 x 107

8.) Rationalize the denominator. Assume that all expressions under radicals represent positive numbers: va- vb

va + vb

(Simplify your answer. Type an exact answer, using radicals as needed.)

9.) Solve. 25x4 - 15x² + 2 = 0. 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.)

10.) If a pro basketball player has a vertical leap of about 25 inches, what is his hang time? Use the hang-time function V= 48 T².

His hang time is __ seconds.

(Simplify your answer. Type an integer or a decimal. Round to the nearest tenth.)

11.) Simplify by removing factors of 1.

8m² + 8m

72m² +64m

Simplified form is:

12.) Factor completely. c² + 18c + 81

13.) Subtract. Simplify by collecting like radical terms if possible. 8v8 - 8v2 (simplify, use radicals as needed.)

14.) Find the greatest common factor for the group of terms: -18a², 3a4

15.) Simplify: v(5&(-1)/(-3125))

16.) Solve. (x + 11) (x-8) (x+10) > 0. The solution set is {x| __}

17.) Perform the indicated operations and simplify:

(y-3)/(y-7)-(y+1)/(y+7) + (y-63)/(y²-49)

18.) Solve. c² - 3c – 40 = 0 The solution is c= __ (Use a comma to separate answers as needed.)

19.) Find the following.

v(18&?(-6)?^18 ) (Simplify your answer)

20.) Multiply and simplify. Assume variables represent nonzero real numbers.

b^12 • b^0 (Simplify your answer. Type exponential notation with positive exponents.)

21.) Factor completely. 25m² + 4 – 20m

23.) Evaluate the polynomial for x=2. 2x²-5x +1 (Simplify your answer.)

24.) Find all numbers for which the rational expression is undefined.

q^3- 6q

q^2- 81 The numbers for which the rational expression is undefined are ___ .

25.) Identify the degree of each term of the polynomial and the degree of the polynomial:

-9x³ + 3x² +8x +4

1. The degree of the first term is ___ .

2. The degree of the second term is ___ .

3. The degree of the third term is ___ .

4. The degree of the fourth term is ___ .

5. The degree of polynomial is ___ .

26.) Multiply. (7x+9)(8x²+8x+9) Simplify your answer.

29.) Solve. x² + 6x – 4 = 0 The solution is x = ___ . (Simplify your answer. Use a comma to separate answers as needed. Type an eact answer using radicals as needed. Type each solution only once.)

30.) Divide and simplify. (Type exponential notation with positive exponents.)

a^2

a^15

31.) Find the variation constant and an equation of variation where y varies directly as x and y = 5 when x = 1.

1. The variation constant is k = ___

2. The equation of variation is y = ___

32.) For the following equation, state the value of the discriminant and then describe the nature of the solutions: -19x² + 7x – 18 =0

What is the value of the discriminant?

Which of the statement is correct:

a) the equation has two imaginary solutions

b) the equation has one real solution

c) the equation has two real solutions.

33.) Multiply: (4v6 - 8v3) (5v6 + 10v(3)) (Simplify answer)

34.) Find the following. Assume that variables can represent any real number. v((a+9)²)

35.) Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax²+bx +c = 0. Solution: 10, only solution.

36.) Factor: 36-12t +t² (factor completely)

37.) Factor completely: 16v²-121 (factor completely)

40.) Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. ?(y^10 ) ?(?16y?^11 ) (Simplify. Type in radical form)

41.) Add. (4x² - 4xy + y²) + (-9x²- 8xy - y²) + (x² + xy – 9y²)

42.) Subtract the polynomials. Simplify answer. (-4r² + 9r +2) – (9r²+2)

43.) Find the x-intercepts for the graphs of the equation y=x²+2x-3. (Type an ordered pair)

44.) Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. F(x)= -2x² +2x +7

1. The x-coordinate of the vertex is __ (Simplified fraction)

2. The y-coordinate of the vertex is __ (Simplified fraction)

3. The equation of the line of symmetry is x= __ (Simplified fraction)

4. The maximum/minimum of f(x) is ___ (Simplified fraction)

5. The value, f(1/2) = 15/2 is? (minimum or maximum?)

45.) If the sides of a square are lengthened by 7 cm, the area becomes 169 cm². Find the length of a side of the original square. The length of a side of the original square is ___ cm.

46.) Divide. (24b³ + 16b² +28b +44) ÷(4b +4)

choose correct answer:

a. 6b + 9

b. 6b² +2b + 9

c. 6b² - 2b – 9 - 8/(4b+4)

d. 6b² - 2b + 9 + 8/(4b+4)

47.) Subtract. Simplify if possible:

(2-y)/(y-6) - (8y-5)/(6-y)

48.) Use rational exponents to simplify. Complete the expression: v(5&x^10 )

49.) Multiply. (v+t) (v² - vt +t²) (Simplify your answer)

50.) use the FOIL method to find the product: (5x² - 4)(x8 - 3)

51.) Simplify by removing factors of 1.

(n²-9)/((n+3)²)

53.) Solve. 6/w = 7/w - 1/2 (Simplify your answer. Type an integer or fraction)

54.) Simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers.

v50a²b (type an exact answer, using radicals as needed.)

55.) Express using a positive exponent: v^(-4)

56.) Solve for x: 4x(x-8)-5x(x-7) = -4 (Simplify your answer, use a comma to separate answers as needed.)

57.) a. Solve 3x² = 15 (what are the solutions?) x= ___ .

b. Find the x-intercepts of f(x)= 3x² -15 . The x-intercepts are: _____ .

58.) Divide and simplify: (2v-6)/55 ÷ (v-3)/25v (Simplify. Use integers or fractions for any numbers in the expression.)

59.) Add.

(2c4 - 4c³ +2c² +12c-8) + (c5+11c³+7c-2c+6) + (-5c4+c²-8c-6) (Simplify answer.)

60.) Multiply: (-2x)² (3x²)²

61.) Multiply.

(w+ 1/3 ) (w+ 1/5 ) (Simplify your answer)

62.) Factor the trinomial. s³-3s²-54s (Factor completely.)

63.) Factor Completely: 252s² + 588st +343t²

64.) Solve. w²+w-12=0

The solution(s) is/are w= ____ (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each solution only once.)

65.) Multiply and simplify. (Type exponential notation with positive exponents.)

36c²/(2c²-12c+18) • (2c-6)/6c

66.) In a right triangle, find the length of the side not given. (Simplify your answer. Type an exact answer, using radicals as needed.)

b=1, c=v26

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