That is dependent because it is changing.independent stays the same
Answer:
Derivative: P’(x) = 200 - 2x
If P’(x) = 0 , x = 100
Therefore P’ is positive and P increases until x = 100
So the maximum units to maximize profits is 100 units
And for 100 units the profit in dollar is:
20000 - 10000 = 10000
10000 dollars
The answer would actually be A because if you make 3 1/4 a mixed number you would get 13/4 which equals 3.25. Now divide 3.25 by 4 because you will dividing these pizzas to 4 people. This gives me 0.8125. Then I would multiply 1/4 to 3.3125 which gives me 0.203125 and when you make this to an improper fraction it will come out to be 13/64 which is choice A. I hope this helps you! I am also sorry for what happened yesterday.
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
_____
<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
