X = k/p^3
125 = k/10^3 = k/1000
1000 x 125 = k
k = 125000
x = 125000/p^3
The profit is given by G = px - (125 + 2x) = p(125000/p^3) - 125 - 2(125000/p^3) = 125000/p^2 - 250000/p^3 - 125
For maximum profit:
dG/dp = 0
dG/dp = -250000/p^3 + 750000/p^4 = 0
750000 - 250000p = 0
p = 750000/250000 = 3
Therefore the price that will yeaild maximum profit is $3.
(5x - 18) - 4x = -36
Let's solve your equation step-by-step.
5x − 18 − 4x = −36
Step 1: Simplify both sides of the equation.
5x − 18 − 4x = −36
5x + −18 + −4x = −36
(5x + −4x) + (−18) = −36 (Combine Like Terms):
x + −18 = −36
x − 18 = −36
Step 2: Add 18 to both sides.
x − 18 + 18 = −36 + 18
x = −18
Answer: ========> x = -18 is the number
Hope that helps!!!! : )
<- Distributive Property
<- Combine Like Terms
If you're trying to solve for 0:
<- Subtracted 18 from both sides
<- Divided both sides by 60 and then simplified.
<- Fraction Form
<- Decimal Form
Give Brainliest for simple answer plz :P
We know that AB and CD are parallel. This allows many assumptions.
From that we know that angle A and angle D are congruent.
That means that x + 8 = 2x - 22 and we can solve for x
x + 8 = 2x - 22
x + 30 = 2x
30 = x or x = 30
We know from the figure that angle B is x or now that we solved for x is 30 degrees. Also, we know that both angle A and angle D are 38 degrees. Now we can solve for the vertical angle E which has a measure of y degrees. A triangle has the sum of its angles equal to 180 degrees.
We can set up an equation like this 30 + 38 + y = 180
30 + 38 + y = 180
68 + y = 180
y = 112 degrees
That is how you would solve this problem
<h3>
Answer: The fraction 2/5</h3>
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Explanation:
We have three points marked on this diagonal line. Each point has integer or whole number coordinates. I find it is easiest to start with the y intercept, which in this case, is the point (0,0). This is the origin.
From the origin, move 2 units up and 5 units to the right to arrive at the next neighboring point (5,2).
This shows that,
slope = rise/run = 2/5
The rise indicates how much we have gone up or down. The run is the amount you move to the right. If the rise is negative, then you have gone downhill. By "downhill", I mean when the graph is read from left to right.
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Optionally you can use the slope formula
m = (y2-y1)/(x2-x1)
with any two points you want from the graph.
