Carter will spend a total of 14 hours at the library over the next 3 weeks. He will spend the same amount of time at the library each week. Which equation shows how to find the number of hours Carter will spend at the library each week?

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

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.

answer: 40392

step-by-step explanation:

10098 x 4 = 40392

2/3=10/15

1/5=3/15

10+3=13/15

2 13/15 is the answer