Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Mr. McCarthy, the owner of two car dealerships in Bloomington, is holding a contest to see which one can sell the most cars. Bloomington Cars has already sold 6 cars, and McCarthy's
Autos has sold 2 cars. Going forward, the salespeople at Bloomington Cars think they can sell 5 cars per day, whereas the salespeople at McCarthy's Autos are aiming for sales of 9 cars per day. If the salespeople's predictions are accurate, it won't be long before the two dealerships are tied. How long will that take? How many cars will each lot have sold?
In days, the dealerships will each have sold ___ cars.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

i believe the correct answer is b.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.