Answer:
Step-by-step explanation:
Given the Total revenue R(x) = 2x
Cost C(x) = 0.01x²+0.3x+30 where;
x = 30 and dx/dt = 9units per day.
Rate of change of revenue dR/dt = dR/dx • dx/dt
dR/dt = 2dx/dt
dR/dt = 2(9) = $18
Rate of change of revenue with respect to time is 18dollars/day.
Rate of change of cost dC/dt = dC/dx • dx/dt
dC/dt = (0.02x+0.3)dx/dt
dC/dt at x = 30 and dx/dt = 9 will give;
dC/dt = {0.02(30)+0.3}×9
dC/dt = (0.6+0.3) × 9
dC/dt = 0.9×9
dC/dt = $8.1
Rate of change of cost with respect to time is 8.1dollars/day
Profit = Revenue - Cost
Profit = 18-8.1
Daily Profit = $9.9
Answer:
independent
Step-by-step explanation:
We put the independent variable on the x axis ( or horizontal) and the dependent variable on the y axis ( or vertical)
Answer:
(-8x+7y)(−8x+7y)+(2x-2y)(2x−2y)= simplified - 68x^2+53y^2−120xy
I hope this helps ! <3
Step-by-step explanation:
Answer:
B. 4.5
Step-by-step explanation:
(6x + 42)° and (18x - 12)° are alternate interior angles. If line l is parallel to line m, therefore,
6x + 42 = 18x - 12
Solve for the value of x. Combine like terms.
6x - 18x = -42 - 12
-12x = -54
Divide both sides by -12
-12x/-12 = -54/-12
x = 4.5
Therefore, x = 4.5 would prove lines l and m are parallel to each other.
Answer:
Step-by-step explanation:
