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Two friends wash cars to make extra money. The profit P(x) of one friend after x days can be represented by the function P(x) = −x^2 + 7x + 10. The second friend's profit can be determined by the function Q(x) = 4x. Solve the system of equations. What solution is a viable answer to the question, "After how many days will the two students earn the same profit?" and which solution is a nonviable answer? Show your work and justify your answer.

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It would take 5 days for both friends to have the same profit.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the profit equation:

P(x) = −x² + 7x + 10 and Q(x) = 4x

For both friends to have the same profit:

P(x) = Q(x)

−x² + 7x + 10 = 4x

x² - 3x - 10 = 0

x = -2 and 5

Since the days cannot be negative, hence x = 5. It would take 5 days for both friends to have the same profit.

Find out more on equation at: https://brainly.com/question/1214333

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