Select the correct answer. Consider functions f and g in the table below. x f(x) g(x) -1 -2.5 -3.67 0 -1 -3 1 1.5 -1 2 5 5 3 9.5 23 4 15 77 5 21.5 239 After which value of x does function g exceed function f? A. x = 3 B. x = 0 C. x = 2 D. x = 5

34

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

none of these

step-by-step explanation:

23 + 34 add up to 57 so just inform the teacher of this really stupid mistake