Based on the table below, 1 4 6 7 9. f(x) 43 51 76 65 36 10 48 87 Evaluate f(6) f(6) = Solve f(x) = 5 x =

If xis large, which function grows faster, f(x)=2x or g(x)=x2?

Find 9 1³ F(x) f(x) dx if f(x) = 15 for x < 5 x for x ≥ 5 Need Help? Read It

a rectangular sheet of cardboard is 8 inches by 10 inches. Squares are cut out of each corner of the cardboard so that the cardboard can be folded to form an open box. Let x be the length of a side of teh squares. Write a formula for the function f(x) that gives teh volume of teh box that can be formed by folding the resulting sheet of cardboard.

ASAP

If h(x) = 0.8x, find the following. (a) h(4.5) (b) h(2.7) 7 (c) h

Suppose 30 flour beetles are left undisturbed in a warehouse bin.  The beetle population doubles each week.  The function f(x) = 30(2)x give the population after x weeks.  How many beetles will there be after 56 days?

A scientist observed that the speed S at which certain ants ran was a function of T, the ambient temperature.† He discovered this could be determined by the formula below where S is measured in centimeters per second and T is in degrees Celsius. S = 0.2T − 2.7 (a) Using functional notation, express the speed of the ants when the ambient temperature is 14 degrees Celsius.S (  )Calculate that speed using the formula above. (Round your answers to one decimal place.) cm/sec(b) Solve for T in the formula above to obtain a formula expressing the ambient temperature T as a function of the speed S at which the ants run.T =        (c) If the ants are running at a speed of 3 centimeters per second, what is the ambient temperature? (Round your answer to one decimal place.) °C

Suppose you plan to upgrade a new phone when your IPhone X loses half of its value. Use P(t) to determine algebraically in how many months this will happen. Show all work.  P(t)=720(.9692)t

1. Find a real root of the equation f(x) = x³ + x? + x +7 = 0 correct to three decimal places. Answer x = -2.105