3x+6=30 i need some help

x=8

Step-by-step explanation:

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

3x+6=30

6 is being added on to 3x. The opposite of addition is subtraction. Subtract 6 from both sides.

3x+6-6=30-6

3x=30-6

3x=24

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

3x/3=24/3

x=24/3

x=8

Let's check our answer. Plug 8 in for x in the original equation.

Original equation: 3x+6=30

Substitute 8 for x: 3(8)+6=30

3(8)+6=30

24+6=30

30=30

The statement above is true, so we know that x is equal to 8.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.