Perform the indicated division, if any.
Rate: (500 miles)/(20 hours)
Unit rate: (500/20) miles/hour = (25 miles)/(1 hour) = 25 miles/hour
A unit rate is a rate with one unit in the denominator.
Answer:
123°
Step-by-step explanation:
Since, measure of minor arc is equal to the measure of its corresponding central angle.
Measure of central angle = 123°
So,? = 123°
(3x^2 + 9x) / ( x^2 -2x -15)
Factor both polynomials
(3x)(x+3) / (x-5)(x+3) = 3x/(x+5)
The simplified form is 3x/(x+5)
The restriction for the variable is x ≠ -3 (this is because you can only simplify the factor x-3 if its value is not zero).
The revenue function is,

For maximum and minimum value, the first derivative of function is equal to 0.
Determine the first derivative of revenue function.

For maximum and minimum value, R'(x) = 0. So

Since x = 700 corresponds to maximum or minimum value of revenue.
Determine the second derivative of revenue function.

Since second derivative of revenue function is less than 0 for every value of x. So x = 700 corresponds to maximum value of revenue.
So 700 villas rented to produce maximum revenue.
Answer: 700 villas