Answer:
The profit will be maximum on x = 250.
Step-by-step explanation:
From the given information:
Revenue = 1500x - x²
Cost = 1500 + 1000x
As we know that
Profit = Revenue - Cost ; Let say it equation 1
Then after putting the values of revenue and cost in equation 1 we have:
Profit = (1500x - x²) - (1500 + 1000x)
Profit = 1500x - x² - 1500 - 1000x
Profit = -x² + 500x - 1500
We know that at the max or min the slope of the graph formed by the profit function will be zero, therefore we find the slope of profit function by taking the first derrivative w.r.t. x as under:
d(Profit)/dx = d/dx(-x² + 500x - 1500)
d(Profit)/dx = -2x + 500
By putting the above slope equal to zero we get:
d(Profit)/dx = -2x + 500 = 0
-2x + 500 = 0
-2x = -500
x = 250
Therefore it is concluded that the profit will be maximum when x will be equal to 250.
Answer:
I believe you are right.
Step-by-step explanation:
All sides seem to be of similar length. The values you put in would make the sides equal so I would go with that one.
Answer: (B)
Explanation: If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.
But a more intuitive way is to determine what happens during each transformation.
A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.
Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.
What happens to the graph?
Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).
What about the y = |x| + h graph?
Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.
So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.
Answer:
Step-by-step explanation:
2 coins are 0.25 = 50 cents. That leaves 92-50 = 42 cents and 5 coins to go.
The only way to get 2 cents is to have 2 pennies. That leaves 40 cents and 3 coins to go.
The only way to get 40 cents with 3 coins is 1 quarter, 1 dime, and 1 nickel.
So you have 3 quarters = 75 cents.
2 pennies = 2 cents.
1 dime = 10 cents.
1 nickel = 5 cents.
92 cents total and 7 coins.The only way to get 40 cents
Answer:She will have to charge her customers at least 21 dollars an hour to help her family.
Step-by-step explanation:
