Answer:
177
Step-by-step explanation:
Although it says that 82 studied in both, the question is aksing for ONLY at the library. It says that of the 270 surveyed, 177 study at the library.
This means that 65.56% of the students studied at the library primarely.
Answer:
![\boxed{\boxed{\dfrac{f(x)}{g(x)}=\dfrac{2x+3}{x+2}}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%5Cdfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%3D%5Cdfrac%7B2x%2B3%7D%7Bx%2B2%7D%7D%7D)
Step-by-step explanation:
Here,
![f(x)=2x^2-x-6](https://tex.z-dn.net/?f=f%28x%29%3D2x%5E2-x-6)
![=2x^2-4x+3x-6](https://tex.z-dn.net/?f=%3D2x%5E2-4x%2B3x-6)
![=2x(x-2)+3(x-2)](https://tex.z-dn.net/?f=%3D2x%28x-2%29%2B3%28x-2%29)
![=(2x+3)(x-2)](https://tex.z-dn.net/?f=%3D%282x%2B3%29%28x-2%29)
And
![g(x)=x^2-4](https://tex.z-dn.net/?f=g%28x%29%3Dx%5E2-4)
![=x^2-2^2](https://tex.z-dn.net/?f=%3Dx%5E2-2%5E2)
![=(x+2)(x-2)](https://tex.z-dn.net/?f=%3D%28x%2B2%29%28x-2%29)
Therefore,
![\dfrac{f(x)}{g(x)}=\dfrac{(2x+3)(x-2)}{(x+2)(x-2)}](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%3D%5Cdfrac%7B%282x%2B3%29%28x-2%29%7D%7B%28x%2B2%29%28x-2%29%7D)
![=\dfrac{2x+3}{x+2}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B2x%2B3%7D%7Bx%2B2%7D)
A) Total points = 3W + 2T + 1L
b) (3*5) + (2*2) + (3*1)
15 + 4 + 3 = 22
The Black Scot’s total points were 22
c) so, Wins + Ties + Losses = 10 because there were only 10 games played. but we also have to remember that we only can have 22 points. I just randomly plug in numbers until I get what I am looking for.
so I did 4 wins, 4 ties, and 2 losses. this is a total of 10 games, and the points equal 22. we just plug those values into our first equation:
(3*4) + (2*4) + (1*2)
12 + 8 + 2 = 22 points