Rationalize the denominator. Assume all variables have positive values.
A. 
B. 
C. 
D. 
Answer: C
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Solve the problem.An amusement park safety inspector plans to leave his home in Cincinnati, Ohio to inspect roller coasters at parks in the following cities: Williamsburg, Virginia; Atlanta, Georgia; Cleveland, Ohio; and Myrtle Beach, South Carolina. The costs of one-way flights between these locations are listed below:
a) Represent this traveling salesman problem with a complete graph showing the costs on the appropriate edges.b) Use the Nearest Neighbor method to approximate the optimal route for the inspector to travel to each city and return to Cincinnati. Give the cost of the route found.c) Randomly select another route from Cincinnati to the other cities and compute the cost of
this route. Compare this cost to the cost found in part (b). What will be an ideal response?
Solve the problem.Mike, Joe, and Bill are painting a fence. The painting can be finished if Mike and Joe work together for 4 hours and Bill works alone for 2 hours or if Mike and Joe work together for 2 hours and Bill works alone for 5 hours, or if Mike works alone for 6 hours, Joe works alone for 2 hours, and Bill works alone for 1 hour. How much time does it take for each man working alone to complete the painting?
A. Mike 16 hr, Joe 8 hr, Bill 8 hr B. Mike 8 hr, Joe 16 hr, Bill 8 hr C. Mike 12 hr, Joe 10 hr, Bill 10 hr D. Mike 8 hr, Joe 8 hr, Bill 16 hr
Factor completely.10x2 + 23xy + 12y2
A. (5x + 4y)(2x + 3y) B. (5xy + 4)(2xy + 3) C. (10x + 4y)(x + 3y) D. (5x - 4y)(2x + 3y)
Evaluate the polynomial or polynomial function for the given value of the variable.-2x3 - 5x2 + 42 for x = -2
A. 26 B. 28 C. 38 D. 68