A contractor buys 16 yd of nylon carpet and 22 yd of wool carpet for $1902. A second purchase, at the same prices, includes 20 yd of nylon carpet and 21 yd of wool carpet for $2033. Find the cost per yard of the wool carpet.

$53

Step-by-step explanation:

Given that, two type of clothes nylon and wool carpet.

Let the price of one yard of nylon carpet = $

Let the price of one yard of wool carpet = $

Price for 16 yd of nylon carpet and 22 yd of wool carpet = $1902

Price for 20 yd of nylon carpet and 21 yd of wool carpet = $2033

Writing equations as per given statement:

Here, we have to find the value of .

By equation (1), we get:

Putting the value from equation (3) to equation (2):

Therefore, the cost per yard for the wool carpet is $53.

okay..i will pick 8!

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: