An architect is designing a building each floor will be 12 ft tall. write an expression for the number of floors the building can have for a given building height. tell what the variable in your expression represents.

There will be floors in the bulilding.

Step-by-step explanation:

Given:

Height of each floor = 12 ft

To Find :

The number of floors the building can have for a given building height = ?

Solution:

Let the height of the building be h

Let the number of floors in the building be f

The Total height of the building will be the product of number of floors and Height of each floor

Rewriting the equation, we get

thus, the first answer choice, y = sec x, is the correct one

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: