Question 582171
The number of horsepower, H, needed to overcome a wind drag on an automobile is given by H=0.005s^2 + 0.007s - 0.031, where s is the speed of the car in miles per hour. At what speed will the car need to travel to use 200 horsepower to overcome the wind drag?
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200 = 0.005s^2 + 0.007s -  0.031
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Multiply thru by 1000 to get: 5s^2 + 7s - 31 = 200000
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5s^2 + 7s - 200031 = 0
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I graphed it and got s = 199.32
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Cheers,
Stan H.