State the domain and range of the given function.f(x) = -(x + 5)2 + 2
A. Domain: (-?, ?)
Range: [5, ?)
B. Domain: [5, ?)
Range: (-?, -2]
C. Domain: (-?, ?)
Range: (-?, 2]
D. Domain: (-?, ?)
Range: [2, ?)
Answer: C
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Simplify.-3 + 8 ? 4
A. 35 B. -20 C. -29 D. 29
Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.8 kilogram and ? = 60°? If necessary, round the answer to the nearest tenth of a Newton.
A. 6.8 N B. 2.4 N C. 6.5 N D. 3.9 N
An important calculation in calculus is the evaluation of the expression , where h ? 0. Find
.f(x) = 9x + 6
A. 9 B. 6 C. -9 D. -6 + 2h
Simplify the expression involving rational exponents.125 -1/3
A.
B. -
C.
D. - 5