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In mark each statement True or False. Justify each answer.
a. A homogeneous system of equations can be inconsistent.
b. If x is a nontrivial solution of Ax = 0, then every entry in x is nonzero.
c. The effect of adding p to a vector is to move the vector in a direction parallel to p.
d. The equation Ax = b is homogeneous if the zero vector is a solution.
e. If Ax = b is consistent, then the solution set of Ax = b is obtained by translating the solution set of Ax = 0.
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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?
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Jerome surveyed 643 skateboarders and found that 209 of them preferred wood skateboards to plastic or aluminum skateboards. Based on the number of people surveyed, what is the most reasonable estimation of the percent of skateboarders who preferre..
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R=6e^(12.77x) x is blood alcohol concentration and R, given as a percent, is the risk of having a car accident. What blood alcohol concentration corresponds to a 66% risk of a car accident?
what is the value of a stock that is expected to pay a constant dividend of 4 per year if the required return is 15?
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