Solve the problem.To get a C in history, Nandan must average 73 on four tests. Scores on the first three tests were 68, 79, and 61. What is the lowest score that Nandan can get on the last test and still receive a C?
A. 84
B. 70
C. 69
D. 11
Answer: A
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Solve the problem.The accompanying figure shows the graph of y = x2 shifted to a new position. Write the equation for the new graph.
A. y = (x + 2)2 B. y = x2 + 2 C. y = (x - 2)2 D. y = x2 - 2
Find the least common denominator for the given set of denominators.30, 80, 50
A. 400 B. 600 C. 1,200 D. 240
Find the vertex, focus, and directrix of the parabola. Graph the equation.x2 - 8x = 12y - 64
A. vertex: (4, 4)
focus: (7, 4)
directrix: x = 1
B. vertex: (4, 4)
focus: (1, 4)
directrix: x = 7
C. vertex: (4, 4)
focus: (4, 1)
directrix: y = 7
D. vertex: (4, 4)
focus: (4, 7)
directrix: y = 1
The marginal cost function C' (x) is defined to be the derivative of the cost function. If the marginal cost of manufacturing x units of a product is
(measured in dollars per unit) and the fixed start-up cost is C(0) = 1,800,000, use the Total Change theorem to find the cost of productin the first 5,000 units.