Answer:
x=4
Step-by-step explanation:
-8+2x= 3x-12
-x=-4
x=4
Answer:If you can spot a factor of
f(x)
then you can use synthetic division to divide by that factor to give a simpler polynomial to factor.
Step-by-step explanation:
Answer:
<em>5</em><em> players participated in the tournament.</em>
Step-by-step explanation:
In a small chess tournament, 20 matches were played.
Let us assume that n number of players participated in the tournament
As in each game 2 players play, so the number of ways they can play is,
![=\ ^nC_2](https://tex.z-dn.net/?f=%3D%5C%20%5EnC_2)
As they played 2 games with every other participant in the tournament.
So the total number of games is,
![=\ 2\times ^nC_2](https://tex.z-dn.net/?f=%3D%5C%202%5Ctimes%20%5EnC_2)
But it is given to be 20, so
![\Rightarrow \ 2\times ^nC_2=20](https://tex.z-dn.net/?f=%5CRightarrow%20%5C%202%5Ctimes%20%5EnC_2%3D20)
![\Rightarrow \ ^nC_2=10](https://tex.z-dn.net/?f=%5CRightarrow%20%5C%20%5EnC_2%3D10)
![\Rightarrow \dfrac{n!}{2!(n-2)!}=10](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7Bn%21%7D%7B2%21%28n-2%29%21%7D%3D10)
![\Rightarrow \dfrac{n(n-1)}{2}=10](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7Bn%28n-1%29%7D%7B2%7D%3D10)
![\Rightarrow {n(n-1)=20](https://tex.z-dn.net/?f=%5CRightarrow%20%7Bn%28n-1%29%3D20)
As
, so we get n=5.
Therefore, 5 players participated in the tournament.
How to get answer by Mimiwhatsup:
6(12m+12b−2b)
=(6)(12m+12b+−2b)
=(6)(12m)+(6)(12b)+(6)(−2b)
=72m+72b−12b
=60b+72m
I believe the answer would be 6.96 cm