At video shack, movie rentals cost $3.99 each. the cost of renting three movies and one video game is $0.11 less than the cost of renting five video games. how much does renting a video game cost?

$3.02

Step-by-step explanation:

M = movie rental

M = 3.99

V = video game

3M + V = 5V - 0.11

Get the integer on one side and the terms on the other

3M + V - 5V = -0.11

3M - 4V = -0.11

Substitute 3.99 for M

3(3.99) - 4V = -0.11

11.97 - 4V = -0.11

Get the integers on one side and the terms on the other

11.97 + 0.11 - 4V = 0

11.97 + 0.11 = 4V

12.08 = 4V

12.08/4 = V

V = 3.02

one that is bigger than 3 1/2

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: