The point (- 3, 2) is a solution to which of the following pairs of equations? 0 2x + 4y = 2 and - 2x + 2y = - 10
2x + 4y = – 2 and - 2x + 2y = 10
2x + 4y = – 2 and – 2x + 2y = - 10
0 2x + 4y = 2 and - 2x + 2y = 10

The last one. Indeed : the couple (x,y) = (-3,2)

Lets replace the values :

2*(-3) + 4*2 = 2

-6 + 8 - 2 = -8 + 8 = 0

And -2*(-3) + 2*2 = 10

6+4 -10 = 10-10 = 0

Good Luck

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

43

step-by-step explanation:

not sure if this is supposed to be a trick question. 43 is the only one that makes any sense.