4) Which orde inequality
3) Which ordered pair is a solution to the linear
inequality below?
2x – 3y < 9
A. (6,-4)
B. (-1,-9)
C. (2,-5)
D. (-3,-3)

D)

Step-by-step explanation:

A is incorrect because:  2(6) -3(-4)<9 which is 24<9 which is not true

B is incorrect because:  2(-1) -3(-9)<9 which is 25<9 which is not true

C is incorrect because: 2(2) -3(-5)<9 which is 19<9 which is not true

D is correct because: 2(-3) -3(-3)<9 which is 3<9 which is true

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

multiply length by height. multiply the length by the height, and then double the product. work out 10 x 10 results = 100 square inches, then work out 100 x 2 = 200. the answer is 200 square inches.

step-by-step explanation: