Answer:they would meet after 4.5 hours
Step-by-step explanation:
At the point where they will both meet, they would have covered a total distance of 540 miles.
Let t represent the time it will take the car and the truck to meet.
Distance = speed × time
The car drives at a speed of 65 miles per hour. Distance covered by the car in t hours would be
65 × t = 65t
The truck travels at a speed of 55 miles per hour.
Distance covered by the truck in t hours would be
55 × t = 55t
Therefore,. 65t + 55t = 540
120t = 540
t = 540/120 = 4.5 hours
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
Generally speaking... yes! It is possible. It would just have to be less than 90 degrees to be considered acute.
That wouldn't be very comfortable for the horse.
