Solve the problem.The average speed on a round-trip commute having a one-way distance d is given by the complex rational expression   in which r1 and r2 are the speeds on the outgoing and return trips, respectively. Fred and Mischa both drove to campus averaging 50 miles per hour and each returned home on the same route he used going and averaged 45 miles per hour. Fred's one-way route was 5 miles longer than Mischa's. Simplify the complex rational expression and answer the question: How does Fred's overall average speed compare with Mischa's?

A. Fred's average speed is the same as Mischa's.
B. Fred's average speed is higher than Mischa's.
C. Not enough information is given to answer the question.
D. Fred's average speed is lower than Mischa's.


Answer: A

Mathematics

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Solve the problem.An arithmetic sequence has first term 17 and second term 20. Which term is the number 344 in this sequence?

A. 327 B. 110 C. 109 D. 108 E. none of these

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Change the logarithmic expression to an equivalent expression involving an exponent.log4 = -3

A. 3 = 4
B. 464 = 3
C. 4-3 = 
D. 34 = 

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Solve the triangle for the indicated side and angle. ?   a = 5, b = 5, ?

A. angle ?: 45°

side c:



B. angle ?: 45°

side c:



C. angle ?:45°

side c:20



D. angle ?: 30°

side c: 10



E. angle ?:30°

side c:20


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Find all values x = a where the function is discontinuous.q(x) = x2 + 9x - 7

A. a = 7 B. Nowhere C. a = 9 D. a = 0

Mathematics