The length of a rectangle is 3 times the width. the perimeter is 96 cm. find the width and length.

Let width = X

Then length would = 3x

The perimeter is 2 times the length + 2 times the width, so half the perimeter would be the length plus the width.

L + W = 1/2 perimeter

L +w = 48

Replace L and W withe the variables from above:

3x + x = 48

Simplify:

4x = 48

Divide both sides by 4:

x = 48/4

x = 12

Now you have a value for x, replace x with 12 in the variables:

Width = x = 12 cm

Length = 3x = 3*12 = 36 cm

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.