This is how the sketch should look on your graph!
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
Sq.root of 1240 is approx 35 mm
Answer:
3 a^12 b^5
Step-by-step explanation:
Simplify the following:
(15 a^8 b^4 a^4 b)/5
15/5 = (5×3)/5 = 3:
3 a^8 b^4 a^4 b
3 a^8 b^4 a^4 b = 3 a^(8 + 4) b^(4 + 1):
3 a^(8 + 4) b^(4 + 1)
4 + 1 = 5:
3 a^(8 + 4) b^5
8 + 4 = 12:
Answer: 3 a^12 b^5
A direct relationship requires a change in the same direction of both variables, answer c.