24 times 100 then divide that by 25
Answer: the vertex would be (4,-25)
Step-by-step explanation:
id suggest using desmos. its an app/website and is super helpful.
The formula for the average value of a function is
where b is the upper bound and a is the lower. For us, this formula will be filled in accordingly.
. We will integrate that now:
![\frac{1}{2}[ \frac{2x^3}{3}+3x]](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%5B%20%5Cfrac%7B2x%5E3%7D%7B3%7D%2B3x%5D%20%20)
from 0 to 2. Filling in our upper and lower bounds we have
![\frac{1}{2}[( \frac{2(2^3)}{3}+3(2))-0]](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%5B%28%20%5Cfrac%7B2%282%5E3%29%7D%7B3%7D%2B3%282%29%29-0%5D%20%20)
which simplifies to
and
which is 17/3 or 5.667
Answer:
Yes, they are equivalent.
Step-by-step explanation:
9 / 3 = 3
24 / 3 = 8
3:8 is just the simplified version of 9:24. This is due to 9:24 being divided by three, becoming 3:8.
Answer:
p = -2/5 or 3/8
Step-by-step explanation:
|5 − 3p| + 9 = 13p + 8
|5 − 3p| = 13p − 1
If 5 − 3p is positive:
5 − 3p = 13p − 1
6 = 16p
p = 3/8
If 5 − 3p is negative:
-(5 − 3p) = 13p − 1
-5 + 3p = 13p − 1
-4 = 10p
p = -2/5
Alternatively, we can square both sides of the equation:
(5 − 3p)² = (13p − 1)²
25 − 30p + 9p² = 169p² − 26p + 1
0 = 160p² + 4p − 24
0 = 40p² + p − 6
0 = (5p + 2) (8p − 3)
p = -2/5 or 3/8
