Acar travels at an average speed of 64 miles per hour. how many miles does it travel in 5 hours and 15 minutes?

336 miles

Step-by-step explanation:

First, you find an equation for this problem, which is y=64x. Next, you convert 5 hours and 15 minutes to 5.25 because of five full hours and the 15 minutes, which is 1/4 or .25 of 1 hour. Then, you substitute time into the equation y=64(5.25) and got y=336 miles that you have traveled.

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 on ed. is:

c. "the graph of f(x) has exactly two x-intercepts."

hope i could someone! : )