Jamal is 22 years older than autumn. in 4 years, the sum of their ages will be 72. how old are they now?
jamal is
years old, and autumn is
years old.

Lets say that Autumn's current age is:

That means Jamal's age =

In 4 years:

Autumn's age is:  

Jamal's age is:    

(you add 4 because in 4 years, they will be four years older)

Now that we've worked out their ages in 4 years, we can form an equation, and solve. Because their ages now add up to be equal to 72:

___________________________

So Autumns age is: 21   and

Jamal's age is: 21 + 22 = 43

___________________________________________

Autumn = 21 years old

Jamal = 43 years old

____________________________________________

If you have any questions, don't hesitate to ask

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.