Answered

Join the IDNLearn.com community and get your questions answered by knowledgeable individuals. Join our community to receive timely and reliable responses to your questions from knowledgeable professionals.

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.

Sagot :

Raphealnwobiidn

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

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.