LESSON 6-3
Comparing Functions
Practice and Problem Solving: A/B
Find the slopes of linear functions fand g. Then compare the slopes.
1. f(x) = 5x - 2
Х
0
1
2.
3
4
g(x)
-3
-1
1
3
5
slope of f =
slope of g =

it has the same slope and a different y-intercept

hope this : )

answer: he is 272195

step-by-step explanation: all you have to do is multiple 3535 and 77 and it equals 272195

what is

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