Mrs. Garcia planted a pepper plant and a tomato plant in her garden. The pepper plant is 6 inches tall and grows 2 inches each week. The tomato plant is 4 inches tall and grows 2 inches each week. Which of the following statements are true about the heights of the two plants? Select all that apply. A. The pepper plant is always taller than the tomato plant. B. After 2 weeks, the tomato plant is taller than the pepper plant. C. After 3 weeks, the tomato plant is taller than the pepper plant. D. After 4 weeks, the tomato plant and the pepper plant are the same height. E. The tomato plant is always 2 inches shorter than the pepper plant.

slope is 35 and 20 miles is the y-intercept.

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

step-by-step explanation:

c(x)= 6x + 3

step-by-step explanation: