Match the following. 1. the range set of E = {(3, 3), (4,4), (5,5), (6, 6))
(3,4,5,6)
2. the range and domain of F = {(x, y)1 x + y =10)
domain = {all real numbers): range =
ty: y = 3)
domain = range = {all real numbers)
3. the range and domain of P = {( xy) y=3)
4. the domain set of C = {(2,5), (2, 6), (2, 7)]
(2)

Step-by-step explanation:

You got the first and last one correct and need flip those for questions 2 and 3.

Correct matches are:

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