148 Final Review

# 148 Final Review - FINAL EXAM SAMPLE PROBLEMS MATH 148...

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FINAL EXAM SAMPLE PROBLEMS MATH 148 AUTUMN 2008 1. a) Find the midpoint of the line segment connecting the two points, (–52, 17) and (–10, 10). b) Find the distance from the midpoint found in part a) to the point (–52, 17). (Round to 4 significant figures.) 2. Solve the following systems of equations: a) + = + = + 24 13 41 8 2 2 x x y x y x b) = = 1 2 9 2 x y y x c ) + + = = 15 3 4 1 9 2 2 2 x x y x y 3. Gary leaves New York at 3 p.m. in his old car and averages 45 mph. Jeff Gordon, the famous NASCAR driver, leaves New York at 10 p.m. in his race car along the same route and averages 180 mph. Let t represent the number of hours after 3 p.m. Write the distances traveled by Gary and Jeff. How many hours will Gary travel before he is passed by Jeff? Round your answer to 2 decimal places. 4. An alchemist is trying to turn lead into gold. In order to do this, he must combine lead and copper in such a way that the resulting mixture is 2 9 lead. He currently has 30 kilograms of a mixture which is 1 7 lead and 6 7 copper. How many kilograms of lead must he add to the mixture to get the required “magical” mixture? (Round to the nearest hundredth.) Did the mixture really turn to gold? 5. A decorator has 92 one-foot-square tiles that will be laid around the edges of a 12-by-15-foot room. A rectangular rug that is 3 feet longer than it is wide is to be placed in the center area where there are no tiles. To the nearest quarter foot, find the dimensions of the smallest rug that will cover the untiled part of the floor. [Assume that all the tiles are used and that none of them are split.] 6. Draw a complete graph of the equation 895 444 147 8 2 3 + = x x x y . Be sure to find and label the roots. Round your answer to 2 decimal places. 7. Give a window for a complete graph of 3 0.05 15 16 yx x = −+ + . Find the zeros and round to 2 decimal places.

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148 Final Review - FINAL EXAM SAMPLE PROBLEMS MATH 148...

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