Acompany is creating a rectangular prism that must have a volume of 6 ft³. the company also knows that the area of the base must be 2 1/2 ft². how can you use what you learned today about volume to determine the height of the rectangular prism?

The height is 2 2/5 or 2.4 ft

Step-by-step explanation:

The volume of a rectangular prism can be found with the formula:

volume = Area of the base * height

So you have to substitute the information on that ecuation and solve for the height.

6 ft³ = 2 1/2 ft² * height

height = 6 ft³ / 2 1/2 ft²

height = 2 2/5 ft or 2.4ft

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: