5. solve each equation.
a. -1/8d - 4 = -3/8

-1/8d - 4 = -3/8

move -4 to the other side

sign changes from -4 to +4

-1/8d-4+4=-3/8+4

-1/8d=-3/8+4

pretend that 4 has a denominator which is 1

-1/8d=-3/8+4/1

find the common denominator for 4/1 which is 8

multiply by 8 for 4/1

4(8)/1(8)=32/8

-1/8d=-3/8+32/8

-1/8d=29/8

multiply both sides by -8/1 to get +d

-1/8d*-8/1=29/8(-8/1)

Cross out 8 and -8, divide by 8 and then becomes 29*1*-1=-29

Cross out -1/8 and -8/1, divide by 8 and 1. Then becomes 1*1*d=d

d=-29

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.