What is the difference in the maximum amounts of profit the two carn make? The function f(x) -0.5x2 + 5x - 6 models the profit, in thousands of dollars, a carnival makes if it sells x thousands of tickets. This table shows the amount of profit another carnival makes based on the number of tickets sold. The function in the table is quadratic. ​

step-by-step explanation:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

2 apples

step-by-step explanation:

taking away equals subtraction. 6-4=2