Suzzanah needs a total of 11 3⁄4 yards of yarn for an art project. She needs 1 3/8 yards of blue yarn and 4 1/2 yards of green yarn. The rest of the yarn she needs is red. How much red yarn does Suzzanah need? *

83/8 yarns of red

Step-by-step explanation:

Given data

W are told that Suzzanah needs a total of 11 3⁄4 yards of yarn.

= 47/4 yards

Amount of blue needed

convert to simple fraction

1 3/8= 11/8 yards

Amount of Red needed

convert to simple fraction

4 1/2 = 9/2 yards

let us compute the number of yarns left out of the total

=47/4- (11/8+9/2)

=47/4- (11+36/8)

=47/4- 47/8

=94-47/8

=47/8 is the remaining yarn,

Hence the amount of red needed is

=47/8+9/2

=47+36/8

=83/8 yarns of red

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.