Initially, as xxx increases, yyy .
The slope of the graph is equal to
for all xxx between x=0x=0x, equals, 0 and x=3x=3x, equals, 3.
Starting at x=3x=3x, equals, 3, the function value yyy

as xxx increases.
The slope of the graph is equal to
for xxx between x=3x=3x, equals, 3 and x=5x=5x, equals, 5.
For xxx between x=0x=0x, equals, 0 and x=4x=4x, equals, 4, the function value yyy

000.
For xxx between x=4x=4x, equals, 4 and x=8x=8x, equals, 8, the function value yyy

000.

practice. practice. practice.

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

the answer to your question is b.

write out the polynomial, with leading coefficient 1:

y = 1 (x+2)^1 (x-7)^1 (x-5)^2

next time, share the answer choices.   .