The monthly texting plan of All Star Cell is $11 per month and $0.25 per text. The monthly texting plan of Top Line Cell is $14 per month and $0.15 per text. A student wants to set up a system of equations to find the number of texts for which the total monthly cost of the two companies is the same. He uses the variables x and y. He lets y represent the total monthly cost. What will x represent?

The total monthly cost of the two companies will be the same for 30 texts.

Step-by-step explanation:

It is given that,

we know that, x must represent the number of texts in a month.

The monthly texting plan of All Star Cell is $11 per month and $0.25 per text.

⇒ y = 11 + 0.25x   (1)

The monthly texting plan of Top Line Cell is $14 per month and $0.15 per text.

⇒ y = 14 + 0.15x  (2)

To find the no.of texts for which the total monthly cost of the two companies be the same :

⇒ Total cost of All Star Cell = Total cost of Top Line Cell

⇒ 11 + 0.25x = 14 + 0.15x

⇒ 0.25x - 0.15x = 14 - 11

⇒ 0.1x = 3

⇒ x = 3 / 0.1

⇒ x = 30 texts.

The total monthly cost of the two companies will be the same for 30 texts.

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.

2x + 8

step-by-step explanation: