Find the solution to the equation: 2(3x-6)=12+6

x=5

Step-by-step explanation:

2(3x−6)=12+6

Step 1: Simplify both sides of the equation.

2(3x−6)=12+6

(2)(3x)+(2)(−6)=12+6(Distribute)

6x+−12=12+6

6x−12=(12+6)(Combine Like Terms)

6x−12=18

6x−12=18

Step 2: Add 12 to both sides.

6x−12+12=18+12

6x=30

Step 3: Divide both sides by 6.

6x

6

=

30

6

x=5

x=5

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:

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