It's B, remember when you have _ ( referring to =) you have straight line, but when it's just < or > you have dotted line
Answer:
First one
Step-by-step explanation:
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
The answer is B
15 L of pure water must be mixed with 10 L of a 25% acid solution to reduce it to a 10% acid solution
Answer: 60
Step-by-step explanation:
Since AB and BC creates AC, we can add them together to find x, then use that to find the value of BC.
8x+9+6x+6=141 [combine like terms]
14x+15=141 [subtract both sides by 15]
14x=126 [divide both sides by 14]
x=9
Now that we have found the value of x, we can plug that into BC.
6(9)+6 [multiply]
54+6 [add]
60
Now, we know the length of BC is 60.
