Mrs. Galicia sells online math and reading games. His revenue for each game (in dollars) is modeled by the given equations, where x is the number of days since the games went on sale.
Math Game: M(d)=2x^2+8x+2
Reading Game: R(d)=3x+5
Solve the system algebraically. After how many days is the revenue for each game the same? Show your work and explain your answer.
Graph this system to show the solutions. Label each axis appropriately.

Respuesta :

Answer:

In the middle of a day

Step-by-step explanation:

1) Make it an actual equation

[tex]3x+5=2x^{2} +8x+2[/tex]

2) Cancel integers

[tex]3x + 3 = 2x^{2} + 8x[/tex]

3) Get rid of no exponent variables

[tex]0 = 2x^{2} + 5x - 3[/tex]

4) Factor :D

[tex](2x - 1)(x+3)[/tex]

5) Solve

2x - 1 = 0

x + 3 = 0

They will meet at -3 days (Which doesn't exist!!!) and 1/2 a day.

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I didn't use graphing, nor did I double check my work but I'm quite sure its correct, i'll edit this answer with a graph for brainliest tho :>

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Edit: Eh i'll add a graph cause i'm nice ;-;

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