Answer:
sry I just wanted the points I'm in middle school so I don't know this stuff either but can you give free brainlyest I'm soo close to my next rank I'd really appreciate it if you would
Complete Question
Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) = 12e^x, [−6, 6] Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to three decimal places.)
Answer:
The average is
![AV = 403](https://tex.z-dn.net/?f=AV%20%20%3D%20%20403)
The value of x is
![x = 4](https://tex.z-dn.net/?f=x%20%3D%20%204)
Step-by-step explanation:
From the question we are told that
The equation is ![f(t) = 12e^x](https://tex.z-dn.net/?f=f%28t%29%20%3D%20%2012e%5Ex)
The points consider is [-6 , 6]
Generally the average value of the function over the given interval is mathematically represented as
![AV = \frac{1}{z-w} \int\limits^ z_w {f(x)} \, dx](https://tex.z-dn.net/?f=AV%20%20%3D%20%20%5Cfrac%7B1%7D%7Bz-w%7D%20%5Cint%5Climits%5E%20z_w%20%7Bf%28x%29%7D%20%5C%2C%20dx)
![AV = \frac{1}{ 6 - (-6)} \int\limits^{6}_{-6} { 12e^x} \, dx](https://tex.z-dn.net/?f=AV%20%20%3D%20%20%5Cfrac%7B1%7D%7B%206%20-%20%28-6%29%7D%20%20%5Cint%5Climits%5E%7B6%7D_%7B-6%7D%20%7B%2012e%5Ex%7D%20%5C%2C%20dx)
![AV = \frac{1}{12 } e^x| \left 6} \atop {-6}} \right.](https://tex.z-dn.net/?f=AV%20%20%3D%20%20%5Cfrac%7B1%7D%7B12%20%7D%20e%5Ex%7C%20%5Cleft%206%7D%20%5Catop%20%7B-6%7D%7D%20%5Cright.)
![AV = e^6 -e^{-6}](https://tex.z-dn.net/?f=AV%20%20%3D%20e%5E6%20-e%5E%7B-6%7D)
![AV = 403](https://tex.z-dn.net/?f=AV%20%20%3D%20%20403)
Generally when the function equal the average we have that
![f(x) = 12e^{x} = 403](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%2012e%5E%7Bx%7D%20%3D%20%20403)
![e^{x} = 34](https://tex.z-dn.net/?f=e%5E%7Bx%7D%20%3D%20%2034)
![x = ln(34)](https://tex.z-dn.net/?f=x%20%3D%20%20ln%2834%29)
![x = 4](https://tex.z-dn.net/?f=x%20%3D%20%204)
Answer:
x = 3
Step-by-step explanation:
Given:
![4(x-2)+2x=10](https://tex.z-dn.net/?f=4%28x-2%29%2B2x%3D10)
Step 1: ![4x-8+2x=10](https://tex.z-dn.net/?f=4x-8%2B2x%3D10)
Step 2:![4x+2x-8=10](https://tex.z-dn.net/?f=4x%2B2x-8%3D10)
Step 3: ![4x+2x-8+8=10+8](https://tex.z-dn.net/?f=4x%2B2x-8%2B8%3D10%2B8)
Now Solving for next steps we get
Step 4: ![6x=18](https://tex.z-dn.net/?f=6x%3D18)
dividing both side by 6 we get
Step 5:![\frac{6x}{6} =\frac{18}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B6x%7D%7B6%7D%20%3D%5Cfrac%7B18%7D%7B6%7D)
And So the Final Answer is:
x = 3
Answer:
-194.6
Step-by-step explanation:
plz mark brainliest
So your asking for the answer for 3/12 cups of flour with an additional of 14 I got this 3/12+14= 171/12
Simplifies to 57/4= 14 1/4