The height of a desk is 11 inches shorter than the height of a chair. Write and solve an equation to find the height of the desk.

d=c-11

Step-by-step explanation:

d is desk

c is chair

The height of the d (desk) is always going to be 11 inches shorter than the chair. So subtract 11 from c (chair) and you will find d  (desk).

If the chair is 13 inches

d=13-11

d=2

If the chair is 32

d=32-11

d=21

This equation will work with numerous numbers to find the size of the desk. If you want you can find the height of the chair as well!

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.