The perimeter of a rectangular garden is 300 yards. the length of the garden is 96 yards more than the width. find the
length and the width.

width is 27 yards and length is 123 yards

Step-by-step explanation:

Perimeter of a rectangle is 2(L + W).

If length is 96 more than width, then we know L = 96 + W

Since we also know the perimeter, we can put them into an equation and solve for the length and width:

2(L + W) = P

2(96 + W + W) = 300

96 + 2W = 150

2W = 54

W = 27

Plug this back into L = 96 + W to find the length:

L = 96 + W

L = 96 + 27

L = 123

Therefore, the width is 27 yards and length is 123 yards.

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.