A[1] = 14 . . . . . . . . . defines the first term
a[n+1] = a[n] -4 . . . says each term is 4 less than the one before it
Answer:
5x+4y = 52
Step-by-step explanation:
We can first write the equation in point slope form
y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point
y - 8 = -5/4 ( x-4)
Multiply each side by 4 to get rid of the fraction
4(y - 8) = 4*(-5/4) ( x-4)
4(y - 8) = -5 ( x-4)
Distribute
4y - 32 = -5x+20
We want the equation in the form
Ax + By = C
Add 5x to each side
5x+4y -32 = -5x+5x+20
Add 32 to each side
5x+4y -32+32 =32+20
5x+4y = 52
Answer: x=6 y=6
Step-by-step explanation:

Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:

Divide both parts of the equation by 2:

The correct question in the attached figure
we know that
to fill the tank is required--------> 100%-20%--------> 80%
if 20% of the gas tank is-----------------> 288.75 gal
80% --------------------------------------> X gal
X=80*288.75/20--------> X=1155 gal
if 1 gal----------------> cost $3
1155 gal----------> $X
X=1155*3--------> X=$3465
the answer is
the cost to fill the tank is $3465