Solve for x. 18x−5< −8 or 7x−4≥38 enter your answer, including the inequality symbol, in the boxes.

x < -1/6 or x ≥ 6

Step-by-step explanation:

18x - 5 < -8 or 7x-4 ≥ 38

18x < -8+5 or 7x ≥ 38+4

18x < -3 or 7x ≥ 42

x < -3/18 or x ≥42/7

x < -1/6 or x ≥ 6, that is, in intervals, .

$119.20

step-by-step explanation:

$372.50 - 60% off is $149. $149-20% off is $119.20

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