A coupon subtracts $17.95 from the price p of a pair of headphones. You pay $71.80 for the headphones after using the coupon. Write and solve an equation to find the original price of the headphones.

x - 17.95 = 71.80, $89.75

Step-by-step explanation:

Let the original price of the headphones be x

Amount of coupon = $17.95

You pay the final amount for the headphones after using the coupon = $71.80

So to find the original price of the headphones, the equation will be

x - 17.95 = 71.80

x = 17.95 + 71.80

x = $89.75

The original price of the headphones would be $89.75

p=89.85

Step-by-step explanation:

p-17.95=71.80

+17.95  +17.95

p=89.85

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.

4+4+2x

or

2x+8

step-by-step explanation: