F(x)= x^3 - 9xf(x)=x

3

−9xf, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 9, x

What is the average rate of change of fff over the interval [1,6][1,6]open bracket, 1, comma, 6, close bracket?

105

Explanations:

Given the function,

F(x) = x³-9x

Rate of change of the function is given by

d{f(x)}/dx = 3x²-9

Given the interval [1,6]

Rate of change can be gotten by subtracting the lower interval from the upper interval

f'(x) = 3x²-9

f'(1) = 3(1)²-9

f'(1) = 3-9 = -6

f'(6) = 3(6)²-9

f'(6) = 108 - 9

f'(6) = 99

Average rate of change of function = f'(6) - f'(1)

= 99-(-6)

= 99+6

= 105

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

853.3

step-by-step explanation: