10. A rectangle has an area of 45m2
and a width of 15m. In meters,
what is twice the product of
length and width of the
rectangle?

90 m^2

Step-by-step explanation:

Area = l*w

45 = l*15

Divide each side by 15

45/15 = l*15/15

3 =l

We want 2 *(l*w)

2 * (3*15)

2 *(45)

90

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: