what is the solution for x^2-4x=?

Step-by-step explanation:

Compare the powers

x² + 4x + 4 = 9x + 18

x² + 4x + 4 - 9x -18 = 0

x² -5x -14 = 0

x² -7x + 2x - 2 *7 = 0

x(x-7) + 2(x - 7) = 0

(x-7)(x+2) = 0

x - 7 = 0    or x + 2 = 0

x = 7         or x = -2

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.

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