.Jessica is making metal sculptures to sell. A metal sculpture costs $24 to make and Jessica sells it to a retailer for a profit of 175%. If the retailer then marks up the sculpture by another 120%, how
much will it cost someone to buy a sculpture in the shop?

$50.40

Step-by-step explanation

The sculpture cost $24 to make so for her to make a 175% profit think of it as a decimal which is 1.75. So you do 24*1.75=$42. Then retailer marks up an additional 120% so then it'll be 42*1.20= 50.4

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.