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.
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
Answer:
No
Step-by-step explanation:
b) 0
c) 0.5
d) 0.91
Explanation:
The closer r gets to +1 or -1, the stronger the linear relationship will be.
If r is really close to +1, then we have a strong positive linear relationship. If r is close to -1, then we have a strong negative linear relationship.
Of the four choices given, we see that r = -0.94 is the closest to either endpoint mentioned. The next closest is r = 0.91
Put another way, we're looking for the r value that is furthest way from 0, but also that makes the inequality true. Choice A fits that description best.
The value of -0.94 represents the strongest relationship between the two variables in a given linear regression model.
The value of a correlation coefficient ranges from -1 to 1. The closer the value is to -1 or 1, the stronger the relationship between the two variables in a linear regression model. Therefore, the value of "-0.94" represents the strongest relationship among the given options. A negative correlation coefficient indicates an inverse relationship, meaning that as one variable increases, the other variable decreases.
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