What are the zeros of the polynomial function f(x) = x^3-10x^2+24x
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<u>Answer:</u>
Both Sally ans Manny can detail a car in 20.6 min.
<u>Solution: </u>
Let us assume that together they will take total x minutes to detail the car.
Sally detail the car in 50 min.
So in 1 min sally can detail \left(\frac{1}{50}\right) of the car.
Hence in x min sally can detail \left(\frac{x}{50}\right) of the car.
Manny can detail a car in 35 min.
So in 1 min many can detail \left(\frac{1}{35}\right) of the car.
Hence in x min Manny can detail \left(\frac{x}{35}\right) of the car.
So we can say,
\left(\frac{x}{50}\right)+\left(\frac{x}{35}\right)=1
x\left(\frac{1}{50}+\frac{1}{35}\right)=1
x\left(\frac{7+10}{350}\right)=1
\left(\frac{17 x}{350}\right)=1
x=\left(\frac{350}{17}\right)=20.5
8 20.6
So, both of them can detail a car in 20.6 min.
Since eleven is odd, there must be a centra element, which in this case is the sixth. So, we can write 11 consecutive integers as
Since the arithmetic mean is the sum of the values, divided by how many they are, we have
So, the mean of 11 consecutive integers is the 6th integer.