Find the domain of the polynomial or rational function. Write your answer in set-builder notation.f(x) = 4x - 9
A. {x|x ? 9}
B. {x|x is a real number}
C.
D.
Answer: B
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Use a table of numerical values of f (x, y) for (x, y) near the origin to make a conjecture about the value of the limit of f(x, y) as (x,y) --> (0, 0).
Factor.x2 - x - 42
A. (x + 7)(x - 6) B. (x + 1)(x - 42) C. (x + 6)(x - 7) D. Prime
Solve the inequality, then graph the solution.-30 > -6c
A. (5, ?)
B. (-?, 5]
C. (-?, 5)
D. [5, ?)
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 = 0.6 kilogram and ? = 64°? If necessary, round the answer to the nearest tenth of a Newton.
A. 5.5 N B. 5.4 N C. 5.3 N D. 2.6 N