Answer:
The average value of 
over the interval ![[-2,5]](https://tex.z-dn.net/?f=%5B-2%2C5%5D)
is 
.
Step-by-step explanation:
Let suppose that function is continuous and integrable in the given intervals, by integral definition of average we have that:
(1)
(2)
By Fundamental Theorems of Calculus we expand both expressions:
(1b)
(2b)
We obtain the average value of over the interval ![[-2, 5]](https://tex.z-dn.net/?f=%5B-2%2C%205%5D)
by algebraic handling:
![F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)](https://tex.z-dn.net/?f=F%285%29%20-%20F%283%29%20%2B%5BF%283%29-F%28-2%29%5D%20%3D%2040%20%2B%20%28-30%29)
The average value of over the interval is .
Answer:
Step-by-step explanation:
As per the given question
As we know that
f(x) and x are related by following equation
where
b is the common ratio
Now first we have to compute the value for b which are as follows
Like if we take the ratio by this method than it comes 1.25
Therefore the common ratio, b = 1.25
So,
a = 5,120
Hence, the equation which model the relationship between the number of weeks and the number of viewers is
Step-by-step explanation:
the proof is given above
158.71 rounded to the nearest ten dollars would be $160.00
then to estimate 10% since 10% starts with a 1, just remove the zero from both numbers
so 160 becomes 16
the tip would be $16
Answer:
41 people
Step-by-step explanation:
Clinton hosted an end-of-year party. He expected 5 guests, but 8 times as many showed up. How many people attended?
The amount of guest that showed up can be calculated as:
5 guest × 8 times the number of guests
= 40 guests
The number rod people that attended the end of the year party = 40 guest + Clinton
= 41 people
