Look at this equation: x2 - 29x - 132 = 0. What is the factored form of this equation? A. (x + 11)(x - 12) = 0
B. (x - 33)(x + 4) = 0
C. (x + 44)(x - 3) = 0
D. (x + 33)(x - 4) = 0

Use the commutative property to reorder the terms

2x-29x-132=0

Next step

Collect like terms

-27x-132=0

Move the constant to the right-hand side and change its sign

-27x=132

Divide both sides of the equation by

Solution or answer ———
X= - 44/9

Alternative form <———
X =-4 8/9 ,x=-4.8

Any of those are the answer

1/6 of a chance i would believe

a. geometricb. g[h] = (3/4)·g[h-1]; g[1] = 384c. g[h] = 384·(3/4)^(h-1)d. g[12] ≈ 16.2183 gallonse. g[12] ≈ 64.8732 quarts

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