Answers Algebra IIRadical Functions

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Which equation is a radical equation?

square root of 10 plus h is equal to 5 plus 2 h

cube root of 8 plus 2 n is equal to cube root of 12 plus n

3 d is equal to square root of d plus 5 end root

cube root of 8 plus d squared is equal to d square root of 16

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What is the simplified form of the following expression? 2 square root of 27 plus square root of 12 minus 3 square root of 3 minus 2 square root of 12

square root of 3

9 square root of 3

15 square root of 3

11 square root of 3

What is the solution to the equation 3 plus 4th root of 4 y is equal to 4 ?

y is equal to 4

y is equal to 1 sixteenth

y is equal to 1 fourth

y is equal to 1

What is the solution of 4 plus square root of 5 x plus 66 end root is equal to x plus 10 ?

x is equal to negative 10

x is equal to 3

x is equal to negative 10 or x is equal to 3

no solution

What is the following product? open paren square root of 12 plus square root of 6 close paren times open paren square root of 6 minus square root of 10 close paren

2 square root of 3 plus 6 minus 2 square root of 15

3 square root of 2 minus square root of 22 plus 2 square root of 3 minus 4

6 square root of 2 minus 2 square root of 30 plus 6 minus 2 square root of 15

6 square root of 3 minus 6 square root of 5

Which expression is equivalent to open paren 16 x to the 8th power y to the negative 12 power close paren raised to the 1 half power ?

the fraction with numerator 8 x to the 4th power and denominator y to the 6th power

negative 8 x to the 4th power y to the 6th power

the fraction with numerator 4 x to the 4th power and denominator y to the 6th power

negative 4 x to the 4th power y to the 6th power

What is the following quotient? the fraction with numerator 6 minus 3 times open paren cube root of 6 close paren and denominator cube root of 9

3 times open paren cube root of 3 close paren minus cube root of 18

3 times open paren cube root of 3 close paren minus 3 times open paren cube root of 2 close paren

2 times open paren cube root of 3 close paren minus cube root of 18

2 times open paren cube root of 3 close paren minus 3 times open paren cube root of 2 close paren

Which graph represents y is equal to cube root of x plus 2 ?

Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis, both axes labeled from negative 8 to 8 by twos with grid lines every 1 unit. An S-shaped curve crosses the vertical axis at 0 comma negative 2 and crosses the horizontal axis at 8 comma 0. The curve extends to the left ending in an arrow near negative 9 comma negative 4, and extends to the right ending in an arrow near 9 comma 0.3.

Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis, both axes labeled from negative 8 to 8 by twos with grid lines every 1 unit. An S-shaped curve crosses the horizontal axis at negative 2 comma 0 and crosses the vertical axis near 0 comma 1.3. The curve extends to the left ending in an arrow near negative 9 comma negative 1.5, and extends to the right ending in an arrow near 9 comma 2.2.

Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis, both axes labeled from negative 8 to 8 by twos with grid lines every 1 unit. An S-shaped curve crosses the horizontal axis at 2 comma 0 and crosses the vertical axis near 0 comma negative 1.3. The curve extends to the left ending in an arrow near negative 9 comma negative 2.2, and extends to the right ending in an arrow near 9 comma 2.

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 8 comma 0), (0 comma 2), and (8 comma 4). The curve has a point of inflection at (0 comma 2).

What is the following sum? 3 b squared open paren cube root of 54 A close paren plus 3 times open paren cube root of 2 A b to the 6th power close paren

6 b squared open paren 6th root of 2 A close paren

6 b squared open paren cube root of 2 A close paren

12 b squared open paren cube root of 2 A close paren

12 b squared open paren 6th root of 2 A close paren

What is the simplified form of the following expression? Assume x is not equal to 0 5th root of the fraction with numerator 10 x and denominator 3 x cubed

the fraction with numerator 5th root of 10 x and denominator 3 x

the fraction with numerator 5th root of 810 x cubed and denominator 3 x

the fraction with numerator 5th root of 120 x cubed and denominator 3 x

the fraction with numerator 5th root of 30 and denominator 3 x

Which expression is equivalent to cube root of the fraction with numerator 75 A to the 7th power b to the 4th power and denominator 40 A to the 13th power c to the 9th power ? Assume A is not equal to 0 and c is not equal to 0

the fraction with numerator A cubed b open paren cube root of 15 b squared close paren and denominator 6 c cubed

the fraction with numerator b times open paren cube root of 15 b close paren and denominator 2 A c

the fraction with numerator A cubed b open paren cube root of 15 b squared close paren and denominator 2 c cubed

the fraction with numerator b times open paren cube root of 15 b close paren and denominator 2 A squared c cubed

What is the following product? Assume x is greater than or equal to 0 cube root of x squared times 4th root of x cubed

x times open paren 12th root of x to the 5th power close paren

x square root of x

x to the 6th power

12th root of x to the 5th power

Doug bought a new car for 25 dollars comma 000 He estimates his car will depreciate, or lose value, at a rate of 20 percent per year. The value of his car is modeled by the equation cap v is equal to cap p times open paren 1 minus r close paren to the t th power , where cap v is the value of the car, cap p is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after 4 and 1 half years?

23 dollars comma 791

9 dollars comma 159

2 dollars comma 500

22 dollars comma 827

Which expression is equivalent to square root of the fraction with numerator 8 and denominator x to the 6th power end root ? Assume x is greater than 0

the fraction with numerator x cubed square root of 2 and denominator 2

the fraction with numerator square root of 2 and denominator 2 x cubed

the fraction with numerator 4 square root of 2 and denominator x cubed

the fraction with numerator 2 square root of 2 and denominator x cubed

What is the solution of square root of x minus 4 end root plus 5 is equal to 2 ?

x is equal to negative 17

x is equal to 13

x is equal to 53

no solution

Which function has a domain of x is greater than or equal to 5 and a range of y is less than or equal to 3 ?

y is equal to negative square root of x minus 5 end root plus 3

y is equal to square root of x minus 5 end root plus 3

y is equal to square root of x plus 5 end root minus 3

y is equal to negative square root of x plus 5 end root minus 3

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