The correct solution: 4x^2 -27x +167 - 996/(x+6)
Step-by-step explanation:
Answer:
![(f\circ g)(-5)=85](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28-5%29%3D85)
Step-by-step explanation:
We are given:
![\displaystyle f(x)=4x+5\text{ and } g(x)=x^2+x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28x%29%3D4x%2B5%5Ctext%7B%20and%20%7D%20g%28x%29%3Dx%5E2%2Bx)
And we want to find:
![(f\circ g)(-5)](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28-5%29)
This is equivalent to:
![\displaystyle =f(g(-5))](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%3Df%28g%28-5%29%29)
So, we will evaluate g(-5) first, which yields:
![\displaystyle g(-5)=(-5)^2+(-5)=25-5=20](https://tex.z-dn.net/?f=%5Cdisplaystyle%20g%28-5%29%3D%28-5%29%5E2%2B%28-5%29%3D25-5%3D20)
So:
![=f(g(-5))=f(20)](https://tex.z-dn.net/?f=%3Df%28g%28-5%29%29%3Df%2820%29)
Then:
![\displaystyle f(20)=4(20)+5=80+5=85](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%2820%29%3D4%2820%29%2B5%3D80%2B5%3D85)
Therefore:
![(f\circ g)(-5)=85](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28-5%29%3D85)
Answer:
1.45
2. 135
Explanation:
1. With a triangle all angles have to add up to 180, so what you would do is add up both angles we already know (43+92=135), then we subtract the sum from 180, (180-135=45) now you know the third angle.
2. Just like a triangle, when finding angles on a line, it has to add up to 180. We already know that point M has an angle of 45 from the last problem, so all we have to do is subtract 45 from 180 (180-45=135). THats the measurement on TMS