Answer:
-20.2m -11.8
Step-by-step explanation:
(2y + 14.6m + 3.8) – (34.8m + 15.6 + 2y)
Distribute the minus sign
(2y + 14.6m + 3.8) – 34.8m - 15.6 - 2y
I like to line them up vertically
2y + 14.6m + 3.8
– 2y -34.8m - 15.6
------------------------------
-20.2m -11.8
Answer:
17) MC(x) = 35 − 12/x²
18) R(x) = -0.05x² + 80x
Step-by-step explanation:
17) The marginal average cost function (MC) is the derivative of the average cost function (AC).
AC(x) = C(x) / x
MC(x) = d/dx AC(x)
First, find the average cost function:
AC(x) = C(x) / x
AC(x) = (5x + 3)(7x + 4) / x
AC(x) = (35x² + 41x + 12) / x
AC(x) = 35x + 41 + 12/x
Now find the marginal average cost function:
MC(x) = d/dx AC(x)
MC(x) = 35 − 12/x²
18) x is the demand, and p(x) is the price at that demand. Assuming the equation is linear, let's use the points to find the slope:
m = (40 − 50) / (800 − 600)
m = -0.05
Use point-slope form to find the equation of the line:
p(x) − 50 = -0.05 (x − 600)
p(x) − 50 = -0.05x + 30
p(x) = -0.05x + 80
The revenue is the product of price and demand:
R(x) = x p(x)
R(x) = x (-0.05x + 80)
R(x) = -0.05x² + 80x
I say the answer is point c from the way the points are on the graph
Answer:
Step-by-step explanation:
You can use the cosine rule to solve this problem:
cos(∠KLJ) = (KL² + JL² - KJ²)/(2*JL*KL) = 21463/21960 = 0.97737
∠KLJ = cos⁻¹(0.97737) = 12.2°
