Use Method I to simplify the complex rational expression.

A. -1
B. -6
C.
D. 0


Answer: C

Mathematics

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Solve the problem.The deflection d (in m) of a diving board x m from the fixed end at the pool side is given by d = kx2(3L - x), where L is the length of the diving board and k is a positive constant. Find the instantaneous rate of change of d with respect to x for x = 1.8 m. Give your answer in terms of k and L.

A. (9.72kL - 5.832k) m/m B. (5.4kL - 1) m/m C. (19.44kL - 9.72k) m/m D. (10.8kL - 9.72k) m/m

Mathematics

Solve the problem.A plane is heading due south with an airspeed of 213 mph. A wind from a direction of 52.0° is blowing at 16.0 mph. Find the bearing of the plane to the nearest degree.

A. 92° B. 183° C. 87° D. 178°

Mathematics

Solve the inequality and graph the solution set on a number line.3x + 6 < 4(x + 2)

A. (-2, ?)

B. (14, ?)

C. (-?, -14)

D. (-?, 2)

Mathematics

Solve the problem.In economics, functions that involve revenue, cost and profit are used. Suppose R(x) and C(x) denote the total revenue and the total cost, respectively, of producing a new high-tech widget. The difference  represents the total profit for producing x widgets. Given R(x) = 60x - 0.4 x2 and  find the equation for P(x).

A. P(x) = -0.4 x2 + 63x + 13 B. P(x) = 3x + 13 C. P(x) = -0.4 x2 + 57x - 13 D. P(x) = 60x - 0.4 x2

Mathematics