Solve for x: 2/5 (x − 2) = 4x. (1 point) i don't understand what to do for this problem. can someone ? ?

-2/9 =x

Step-by-step explanation:

2/5 (x − 2) = 4x

Multiply each side by 5/2

I do this because we want to get rid of the fraction in the denominator.  I also know that the right side has a 4 in the numerator so, the 2 in the denominator that we are multiplying by will cancel.

5/2 *2/5 (x − 2) = 4x*5/2

x-2 = 20/2 x

x-2 = 10x

Subtract x from each side

x-2 -x = 10 -x

-2 = 9x

Divide each side by 9

-2/9 =9x/9

-2/9 =x

x=-2/9

Step-by-step explanation:

First, divide both sides by 2/5

(2/5)*(x-2)/2/5=4x*5/2

x-2=10x, Subtract x from both sides.

-2=9x, Divide both sides by 9

x=-2/9, If you need you can check your answer by substituting the value of x into the original equation.

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: