Solve the problem.A ball is dropped from a cliff that is 480 feet high. The distance S (in feet) that it falls in t seconds is given by the formula S = 16t2. How many seconds (to tenths) will it take for the ball to hit the ground?
A. 14,400 sec
B. 21.5 sec
C. 21.9 sec
D. 5.5 sec
Answer: D
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Factor the expression completely, if possible.9z3 - 24z2 + 16z
A. (3z2 - 4z)2 B. z(3z - 4)2 C. z2(3z - 4)2 D. z(3z + 4)2
Write an equation for a function whose graph fits the given description.The graph of f(x) = is vertically stretched by a factor of 2, and the resulting graph is reflected across the x-axis.
A. y = 2
B. y = -2
C. y = -2
D. y = -
Solve the problem.A furniture manufacturer decides to make a new line of desks. The table shows the profit, in thousands of dollars, for various levels of production. Find a quadratic function to model the data, and use the model to predict the profit if 450 desks are made. Round to the nearest thousand.
A. $40,000 B. $45,000 C. $42,000 D. $44,000
Identify the open intervals where the function is changing as requested.Decreasing
A. (-3, 0), (3, ?) B. (-3, 0) C. (-?, -3), (0, 3) D. (-3, 3)