The graph of a logarithmic function is given. Select the function for the graph from the options.
A. f(x) = log3x
B. f(x) = log3(-x)
C. f(x) = -log3x
D. f(x) = 1 - log3x
Answer: B
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Solve the problem.Find the measure of an angle if its supplement measures 214° less than 5 times its complement.
A. 14° B. 7° C. 84° D. 168°
Provide an appropriate response.A company manufactures two models of inline skates, Alpha and Beta, at two different manufacturing plants. The maximum output at plant I is 1000 per month, while the maximum output at plant II is 1200 per month. Due to contractual obligations, the number of Alpha models produced at plant I must exceed the number of Beta models produced at plant I by at least 100. The profit per Alpha and Beta model manufactured at plant I is $50 and $80, respectively, while the profit per Alpha and Beta model manufactured at plant II is $60 and $70, respectively. This month, the company received an order for 900 Alpha and 1000 Beta models. Find how many of each model should be produced at each plant in order to satisfy the order and maximize the profit. (Hint:
Let x1 represent the number of Alpha models and x2 represent the number of Beta models manufactured at plant I.) What will be an ideal response?
Find the degree of the polynomial function.f(x) = -14x4 - 5x3 + 4
A. -5 B. -14 C. 8 D. 4
Write a system of equations for the problem, and then solve the system.If a plane can travel 310 miles per hour with the wind and only 290 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.
A. Plane: 10 mph; wind: 300 mph B. Plane: 300 mph; wind: 20 mph C. Plane: 300 mph; wind: 10 mph D. Plane: 400 mph; wind: 10 mph