There are certain cases that need to be taken into consideration: 1. If the lines intersect at one point the solution that fits all equations is exactly that point. 2. If the lines do not intersect at only one point the system has no solution because the lines 3. If the system of equations intersects completely overlaps the other line we say that we have an infinite number of solutions that fits the equations.
4(3n+7)=16
12n+28=16
12n=-12
n=-1
Divide 583.2 by 48.6 to get your answer, 12 hours.
Use the slope formula:
(y2 - y1)/(x2 - x1)
(x1, y1) = (-5, 1)
(x2, y2) = (-4, -4)
The price p based on the equation given is p = 3000 - 0.1x.
<h3>How to express the price?</h3>
The equation given in the question is x = 3000 - 10p. The price(p) will be:
x = 3000 - 10p.
Make p the subject of the formula
x + 10p = 3000
10p = 3000 - x
p = (3000 - x)/10
p = 3000 - 0.1x
The revenue will be price multiplied by quantity. This will be:
= (3000 - 0.1x) × x
= 3000x - 0.1x²
The marginal revenue will be calculated after differentiating. This will be:
= 3000x - 0.1x²
= 3000 - 0.2x
The demand which is the quantity based on the information will be:
3000 - 0.2x = 0
0.2x = 3000
x = 1500
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