1. solve for x. show each step of the solution and justify (you will not receive points if you do not justify each step).

4.5(30 - x) + 15 = 95 – 1.5(5x + 12)

solution justification

The value of x = .

Step-by-step explanation:

Given,

4.5(30 - x) + 15 = 95 – 1.5(5x + 12)

To find value of x.

4.5(30 - x) + 15 = 95 – 1.5(5x + 12)

or, 4.5×30 - 4.5×x = 95 - 1.5×5x-1.5×12  [ a(b+c) = ab+ac This property is known as distributive property]

or, 135 - 4.5x = 95 - 7.5x - 18

or, 7.5x - 4.5x = 95 - 18 - 135 [ Taking the variables in LHS and all the constant terms in RHS]

or, 3x = -58

or, x =

Here is the value of x.

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:

a natural event such as a flood, earthquake, or hurricane that causes great damage or loss of life.

step-by-step explanation: