Solve the problem.Wildlife management personnel use predator-prey equations to model the populations of certain predators and their prey in the wild. Suppose the population M of a predator after t months is given by M = 750 + 125 sin twhile the population N of its primary prey is given by N = 12,250 + 3050 cos tFind the period for each of these functions.

Fill in the blank(s) with the appropriate word(s).


12, 12

Mathematics

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Find the linear approximating polynomial for the function centered at a.f(x) = 3x2 - 5x + 3, a = -2

A. L(x) = -7x + 15 B. L(x) = -17x - 9 C. L(x) = -17x + 15 D. L(x) = -7x - 9

Mathematics

Let x be a number. Translate the English phrase or sentence into a mathematical expression. A number divided by -42

A. -42x B. -42 ÷ x C. x - 42 D. x ÷ (-42)

Mathematics

Solve the system graphically. Give x- and y-coordinates correct to the nearest hundredth.y = log (x + 8)y = x2

A. {(-1.38, -1.89), (1.50, -2.25)} B. {(-1.38, 1.89), (1.50, 2.25)} C. {(-0.92, 0.85), (0.98, 0.95)} D. {(-0.92, -0.85), (0.98, -0.95)}

Mathematics

Solve the inequality, then graph the solution.-4(2x - 4) < -12x - 12

A. (-?, -7]

B. (-7, ?)

C. (-?, -7)

D. [-7, ?)

Mathematics