The graph of a function f is given. Use the graph to answer the question.Find the numbers, if any, at which f has a relative maximum. What are the relative maxima?

A. f has a relative maximum at x = 3; the relative maximum is 1
B. f has a relative maximum at x = 0; the relative maximum is 1
C. f has a relative maximum at x = -3 and 3; the relative maximum is 0
D. f has no relative maximum


Answer: B

Mathematics

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Solve the problem.On a 620 mile road trip, out to Yellowstone National Park Toby's average speed was x miles per hour. On his return trip, he averaged 15 miles per hour more than his trip to the park. The time that it took Toby to drive to the park can be represented by the rational expression , while the time it took Toby to return home can be represented by the rational expression . a. Write a simplified rational expression that describes the difference in the time it took Toby to drive to the park and the time it took him to return home. b. What was the difference in the time

it took Toby to drive to the park and the time it took him to return home if he averaged 61 miles per hour on his drive home? Round your answer to the nearest tenth .

A. a. ;
b. 3.3 hour(s)
B. a. ;
b. 3.3 hour(s)
C. a. ;
b. 1.3 hour(s)
D. a. ;
b. 4130.1 hour(s)

Mathematics

The quantity demanded per month of an item is related to the unit price by the demand equation where p is measured in dollars and x is measured in units of a thousand. How many items must be sold by the manufacturer to maximize its revenue?

Hint: Recall that the revenue is given by R = px.

Mathematics

Graph the linear equation using intercepts.x = -5y

A.

B.

C.

D.

Mathematics

Use division to write the rational function in the form  where the degree of r is less than the degree of . Then find the partial fraction decomposition of 

A.  + 
B. x - 3 +  + 
C. x - 3 +  + 
D. x + 3 +  + 

Mathematics