# Algebra test

May 28th, 2015
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1. A company’s costs, in millions of dollars, are given by the equation, C = x2 – 3x – 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items? (Hint: If the number of items sold

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1. A company's costs, in millions of dollars, are given by the equation, C = x2 - 3x - 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items?(Hint: If the number of items sold is 1000, then x=1.)a) If x = 1,000, simply substitutex = - 3(1) - 27x = 1 - 3 - 27x = -29b) If x = 1,500x = - 3(1.5) - 27x = 2.25 - 4.5 - 27x = -29.252. A company's costs, in millions of dollars, are given by the equation, C = x2 - 3x - 27, where x is the number of items sold, in thousands. How many items must be sold for the costs to be zero?Cost should be zero, c = 0, hence - 3x - 27 = 0x = (-3 +/- sqrt( - (4*-27)))/2x = (-3 +/- sqrt(117)) /2x = (-3 + 10.8166)/2 or (-3 -10.8166)/2x = -3.908 or 6.9083. An object's height, in meters, when thrown vertically from the ground at a velocity of 80 m/s is given by the equation H = -

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