Answer:
Point (50,166.67)
Step-by-step explanation:
Incomplete question.
The Revenue function R(x) is
First, we calculate the first derivative
The second derivative is
The point of disminihing returns for the function happens when the second derivative is equal to zero. This is the point where the concavity of the function changes. This happens at x=50:
At point (50,166.67) the function of revenue will be in its point of diminishing returns.
The answer of this question is going to be 90
Two eventis are independent if knowledge about the first doesn't change your expectation about the second.
a) Independent: After you know that the first die showed 4, you stille expect all 6 numbers from the second. So, the fact that the first die showed 4 doesn't change your expectation about the second die: it can still show numbers from 1 to 6 with probability 1/6 each.
b) Independent: It's just the same as before. After you know that the first coin landed on heads, you still expect the second coin to land on heads or tails with probability 1/2 each. Knowledge about the first coin changed nothing about your expectation about the second coin.
a) Dependent: In this case, there is a cause-effect relation, so the events are dependent: knowing that a person is short-sighted makes you almost sure that he/she will wear glasses. So, knowledge about being short sighted changed your expectation about wearing glasses.
-9(z + 3) - 5(2z + 10)
Distribute -9:
-9z - 27 - 5(2z + 10)
Distribute -5:
-9z - 27 - 10z - 50
Combine like terms:
-19z - 77
Answer:
The graph is shown below.
Step-by-step explanation:
Given:
Equation of a line is
The equation of a line with a point and slope is given as:
On comparing the given equation with the standard form, we get
Now, we first plot the point .
Slope is . This means that we have to move 3 units down and 5 units right to get the slope as negative. We mark the second point there.
Now, we plot a line joining both the points. Thus, the graph is drawn.