Answer:
Step-by-step explanation:
You set both sides equal to 180
4x + 20 + 84 = 180
4x = 76
x= 19
Answer:
f(0) =4
f(6) =8
Step-by-step explanation:
f(0) = ?
We know 0 is less than 5 so we use the first part of the step function
f(0) = 0+4
= 4
f(6) = ?
6 is between 5 and 7 so we use the second part of the step function
f(6) =8
The expression that represents the density is D = h^2 - 4h + 20/pi h^2
Answer:
1) They are not inverses
2) They are inverses
Step-by-step explanation:
We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.
<u>1)</u>
<u>Let's find f[g(x)] and simplify.</u>
![f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}](https://tex.z-dn.net/?f=f%5Bg%28x%29%5D%3D%5Cfrac%7B1%7D%7B2%7Dg%28x%29%2B%5Cfrac%7B3%7D%7B2%7D)
As f[g(x)] is not equal to x, these functions are not inverses.
2)
<u>Let's find f[g(x)] and simplify.</u>
![f[g(n)]=\frac{-16+(4n+16)}{4}](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3D%5Cfrac%7B-16%2B%284n%2B16%29%7D%7B4%7D)
![f[g(n)]=\frac{-16+4n+16}{4}](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3D%5Cfrac%7B-16%2B4n%2B16%7D%7B4%7D)
![f[g(n)]=\frac{4n}{4}](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3D%5Cfrac%7B4n%7D%7B4%7D)
![f[g(n)]=n](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3Dn)
Now, we need to find the other composition function g[f(x)]
<u>Let's find g[f(x)] and simplify.</u>
![g[f(x)]=4(\frac{-16+n}{4})+16](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3D4%28%5Cfrac%7B-16%2Bn%7D%7B4%7D%29%2B16)
![g[f(x)]=-16+n+16](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3D-16%2Bn%2B16)
![g[f(x)]=n](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3Dn)
Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.
I hope it helps you!
Answer:
<h2>$ -96</h2>
Step-by-step explanation:
<h2>Divide -3,840 by 40:</h2><h2>Answer: $ -96</h2>
I hope it helps ♥️♥️♥️