Answers Algebra 2 with ProbabilityRadical Expressions and Functions

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What is the range of the translated function?

start set y such that y is greater than or equal to 0 end set

start set y such that y is less than 0 end set

start set y such that y end set is a real number

start set y such that y end set is a natural number

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Which statement is true about the function f of x is equal to negative square root of negative x ?

The domain and range of the function have opposite signs.

The range of the function is all positive real numbers.

The domain of the function is all negative real numbers.

The domain and range of the function are the same.

What are the solutions to the equation square root of x squared plus 2 x minus 10 end root is equal to square root of x plus 20 end root ?

x is equal to negative 5 , x is equal to 6

x is equal to negative 6 , x is equal to 5

x is equal to 5 , x is equal to 6

x is equal to negative 6 , x is equal to negative 5

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

22 dollars comma 827

9 dollars comma 159

2 dollars comma 500

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 2 square root of 2 and denominator x cubed

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

What is the simplified form of the following expression? 4th root of 16 x to the 8th power y to the 12th power z to the 4th power

2 x squared start absolute value y cubed z end absolute value

2 x to the 4th power y to the 8th power

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

4 x squared start absolute value y cubed z end absolute value

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 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

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

Which expression is equivalent to cube root of 27 ?

9 cubed

3 cubed

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

negative 4 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

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

Which is the graph of the function f of x is equal to square root of 9 fourths x end root ?

Image with description On a coordinate plane with x-axis ranging from 0 to 9 in increments of 1, y-axis ranging from 0 to 4 point 5 in increments of 0 point 5. A smooth curve originates from origin and passes through the points 1 comma 0 point 4 4 and 4 comma 0 point 8 9.

Image with description On a coordinate plane with x-axis ranging from 0 to 9 in increments of 1, y-axis ranging from 0 to 9 in increments of 1. A smooth curve originates from origin and passes through the points 1 comma 1 point 5 and 4 comma 3.

Which table represents points on the graph of h of x is equal to cube root of negative x plus 2 ?

Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, 'negative 6'; Column 3, '1'; Column 4, '2'; Column 5, '3'; Column 6, '10' Row 2: Column 1, 'y'; Column 2, '2'; Column 3, '1'; Column 4, '0'; Column 5, 'negative 1'; Column 6, 'negative 2'

Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, 'negative 4'; Column 3, 'negative 3'; Column 4, 'negative 2'; Column 5, 'negative 1'; Column 6, '0' Row 2: Column 1, 'y'; Column 2, 'negative 8'; Column 3, 'negative 1'; Column 4, '0'; Column 5, '1'; Column 6, '8'

Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, 'negative 2'; Column 3, 'negative 1'; Column 4, '0'; Column 5, '1'; Column 6, '2' Row 2: Column 1, 'y'; Column 2, '10'; Column 3, '3'; Column 4, '2'; Column 5, '1'; Column 6, 'negative 6'

Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, 'negative 8'; Column 3, 'negative 1'; Column 4, '0'; Column 5, '1'; Column 6, '8' Row 2: Column 1, 'y'; Column 2, '4'; Column 3, '3'; Column 4, '2'; Column 5, '1'; Column 6, '0'

The graph of y is equal to square root of x is translated. The translation is defined by open paren x comma y close paren to open paren x minus 3 comma y plus 1 close paren Which is the graph of the translated image?

Image with description A coordinate plane with x and y axes ranges from negative 5 to 5 in increments of 1. A smooth curve originates from the point negative 1 comma negative 3, moves right and passes through the point 2 comma negative 2.

Image with description A coordinate plane with x and y axes ranges from negative 5 to 5 in increments of 1. A smooth curve originates from the point negative 3 comma 1, moves right and passes through the point 1 comma 3.

Image with description A coordinate plane with x and y axes ranges from negative 5 to 5 in increments of 1. A smooth curve originates from the point 3 comma negative 1, moves right and passes through the point 4 comma 0.

Which describes all possible values of f of x in the function f of x is equal to the fraction with numerator square root of x and denominator 2 ?

all real numbers except for 0

all positive real numbers and 0

all negative real numbers and 0

all real numbers

Which statement about square root of x minus square root of x minus 5 end root is equal to 1 is true?

x is equal to 4 is a true solution.

x is equal to 9 is a true solution.

x is equal to 4 is an extraneous solution.

x is equal to 9 is an extraneous solution.

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 inequality describes the range of f of x ?

y is greater than or equal to negative 3

y is greater than or equal to 0

y is greater than or equal to negative 5

y is greater than or equal to 3

Which statement is correct?

The domain of the graph is all real numbers.

The range of the graph is all real numbers greater than or equal to 0 .

The range and domain of the graph are the same.

The domain of the graph is all real numbers greater than or equal to 0 .

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