A company offers premium cable for 39.95 per month plus a one time setup fee. The total cost of 6 months of service is 264.70. Write and solve a linear equation to find the total cost for 2 years of service

Total cost = 983.8

Step-by-step explanation:

Monthly charge = 39.95

One time set up fee = x

Number of months = y

Total cost = x + 39.95y

The total cost of 6 months of service is 264.70.

264.70 = x + 39.95(6)

264.70 = x + 239.7

264.70 - 239.7 = x

x = 25

Total cost = 25 + 39.95y

Write and solve a linear equation to find the total cost for 2 years of service

2 years = 24 months

Total cost = 25 + 39.95y

= 25 + 39.95(24)

= 25 + 958.8

= 983.8

Total cost = 983.8

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!

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.