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:
$0.10/oz
Step-by-step explanation:
Unit rate simply means the amount per 1 unit of something.
In this case, we want to find the amount of money for 1 oz of something.
So, we divide 1.99 by 30 and divide 30 by 30 to get:
(1.99 / 30) / (30 / 30) = $0.0663 / 1 oz
Rounded to the nearest tenth, 0.0663 is about 0.1.
Thus, the answer is $0.10/oz.
Answer:
a.....Naeem's work
Step-by-step explanation:
i just took the the test i got it right
Answer:
C
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 2 and (a, b) = (1, 9) , thus
y - 9 = 2(x - 1) → C
Answer:
d) n = -5 and n = -3
Step-by-step explanation:
n²+8n+15=0
Step 1: Factor left side of equation.
(n+3)(n+5)=0
Step 2: Set factors equal to 0.
n+3=0 or n+5=0
n=−3 or n=−5
