Please help me ASAP, Thank you very much

B

Step-by-step explanation:

first you can cross out choices C and D because the equation that they gave you has a positive y-intercept

so it has to be shifting 10 units up

now you're left with choices A and B

the answer is choice B because the slope is 5 which is also 5/1 (rise over run)

that would mean that it's gradually growing slimmer (the function)

you can also check by graphing it and it indeed is slimmer than y=x^2

so that concludes that it is being stretched vertically

answer: 3.26019516

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