9!/(8!*(9-8)!)=9
or just use a calculator and use the nCr function
The equation that we can create from this situation is:
i = (190 – 5 x) * (29 + x)
where i is the income and x is the increase in daily rate
Expanding the equation:
i = 5510 + 190x – 145x - 5x^2
i = -5x^2 + 45x + 5510
Taking the 1st derivative:
di/dx = -10x +45
Set to zero to get the maxima:
-10x + 45 = 0
x = 4.5
So the cars should be rented at:
29 + x = 33.5 dollars per day
The maximum income is:
i = (190 – 5*4.5) * (33.5)
i = 5,611.25 dollars
Answer:

Step-by-step explanation:
To find the equation of this circle, we must know the center and the radius.
We can find the radius by dividing the value of the distance formula by 2 (since
):

We can then find the center of the circle by averaging the coordinates:


Then, we substitute these values into the equation of a circle:

Simon is 13 years old
Let x be Simon's age
Thus 4 years ago his age was (x - 4) and 2 years from now his age is (x + 2)
Hence 5(x - 4) = 3(x + 2)
distributing both sides gives
5x-20 = 3x + 6
subtract 3x from both sides of the equation
5x - 3x - 20 = 6
2x - 20 = 6
add 20 to both sides
2x = 6 + 20 = 26
divide both sides by 2
x =
= 13
Simon is 13 years old
Slope =2/3
70,80) (10,40)
(80-40)/(70-10) = 40/60
4/6
2/3