SOMEONE PLEASE HELP ME WITH THIS PL x + 3y = 12 and -x + 2y = -2

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5x + 2y = -9 and x - 2y = -9

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4x - y = -9 and 3x + y = 2

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6y = 7x + 4 and 7x - 7y = -7

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8x + y = -14 and 6x + y = -8

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Step-by-step explanation:

1. You can use the intercepts to graph the line. The graph of 2x + 3y = 12      crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12  crosses the y-axis at (0, 4), so its y-intercept is 4.

2. Point-Slope Form: y - y1 = m(x - x1)

Standard Form: ax + by = c

5x - 2y = 10

-2y = -5x + 10

y = (5/2)x - 5    The slope is 5/2.

y - 2 = (-5/2)(x - 10)

y = (-5/2)x + 25 + 2

y = (-5/2)x + 27      The slope is -5/2.

y = (-5/2)x - 10     The slope is -5/2.

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step-by-step explanation:

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