Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. Th
e oil change for one car required 5 quarts of oil and cost $24.35. The oil change for the other car required 7 quarts of oil and cost $28.35. How much is the labor fee and how much is each quart of oil?
1 answer:
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Consider the diagram of the problem.
Let the vertex be on the y axis, exactly, at the point (0, 40)
Another point of this parabola is (200, 100), as can be checked from the figure.
The vertex form of the equation of a parabola is :
, where (h, k) is the vertex of the parabola,
replacing (h, k) with (0, 40), we have:
to find a, we substitute (x, y) with (200, 100):
40,000a=60
a=60/40,000=3/(2,000)
So, the equation of the parabola is
Let the vertex be on the y axis, exactly, at the point (0, 40)
Another point of this parabola is (200, 100), as can be checked from the figure.
The vertex form of the equation of a parabola is :
replacing (h, k) with (0, 40), we have:
to find a, we substitute (x, y) with (200, 100):
40,000a=60
a=60/40,000=3/(2,000)
So, the equation of the parabola is
Answer:
X =
Step-by-step explanation:
2 (4-8x) + 6 = 1
Multiply parentheses by 2
8 - 16x + 6 = 1
add (8 + 6)
14 - 16x = 1
Move constant to right and change its sign
-16x = 1 -14
Calcualte te difference
-16x = -13
divide bot sides by -16
x =