Answer: 60 mph
Step-by-step explanation:
300+120+420=840
840/14=60
Answer:
63 units
Step-by-step explanation:
The profit function P(x) is given by the revenue function minus the cost function:

The number of units sold 'x' for which the derivate of the profit function is zero, is the number of units that maximizes profit:

The number of units that should be manufactured so that profit is maximum is 63 units.
We have the equation f(x)=6x-5 to start with
Now in order to answer the question we have to know that f(5) is the same thing as setting x=5 and solving for f(5)
(A) f(5) = 6(5) - 5 = 30 - 5 = 25
(B) f(-3) = 6(-3) - 5 = (-18) - 5 = -23
So f(5) = 25 and f(-3) = -23
Answer:
Option B. 
Step-by-step explanation:
step 1
Find the central angle of the shaded sector
Remember that the diameter divide the circle into two equal parts ( 180 degrees each part)
so
Let
x -----> the measure of the central angle of the shaded sector
∠x+72°=180°
∠x=180°-72°=108°
step 2
Find the area of the circle
The area of the circle is

we have

assume

substitute


step 3
Find the area of the shaded sector
Remember that the area of the complete circle subtends a central angle of 360 degrees
so
by proportion find the area of a sector by a central angle of 108 degrees
