Please help asap <3

A(6,0)

Step-by-step explanation:

x=y−6 ;y=−3x+6

Step: Solve x=y−6 for x:

x=y−6

Step: Substitute y− 6 for x in y=−3x+6:

y=−3x+6

y=−3(y−6)+6

y=−3y+24(Simplify both sides of the equation)

y+3y=−3y+24+3y(Add 3y to both sides)

4y=24

4y

4

=

24

4

(Divide both sides by 4)

y=6

Step: Substitute 6 for y in x=y−6:

x=y−6

x=6−6

x=0(Simplify both sides of the equation)  

x=0

and  

y=6

i dont know it

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