Please help with algebra 1) 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)=x^2-9x-10
Reading Game: R(d)=2x+10
Solve the system algebraically. After how many days is the revenue for each game the same? Show your work and explain your answer.
Answers
It takes about 13 days for the revenue for each game the same.
Revenue is the amount of money made from selling a particular amount of products.
Given that the revenue is given by:
Math Game: M(d)=x²-9x-10
Reading Game: R(d)=2x+10
For both games to have the same revenue, hence:
M(d) = R(d)
x² - 9x - 10 = 2x + 10
x² - 11x - 20 = 0
x = -1.6 or x = 12.6
Since the number of days cannot be negative, hence it takes about 13 days for the revenue for each game the same.
Find out more at: brainly.com/question/19682087
Step-by-step explanation:
Given the following expression;
Math Game: M(d)=x^2-9x-10
Reading Game: R(d)=2x+10
x is the number of days since the games went on sale
In order to determine after how many days the revenue for each game wil be the same, we will equate M(d) to R(d)
M(d) = R(d)
x^2-9x-10 = 2x+10
x^2-9x-10-2x-10 = 0
x^2-11x-20 = 0
factorize
x = 11±√121-4(-20)/2
x = 11±√121+80/2
x = 11±√201/2
x = 11±37.16/2
x = 11+37.16/2
x = 48.16/2
x = 24.06
Hence the revenue for each game will be the same after 24 days
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