(06.04)

Evaluate the following expression when x = 3 and y = 4:

Fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator.

3.6
8.6
14.6
21.6

14.6

Step-by-step explanation:

Given

, substitute x = 3 and y = 4 into the expression

=

=

=

= 14.6

First, lets write this word expression into numbers and solve.

~Substitute x with 3 and y with 4

~Simplify

~Simplify

~Divide

14.6

Best of Luck!

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

answer: none of these answers are correct only the second half is

step-by-step explanation: