$\displaystyle
\binom{n}{2}=36\\\\
\dfrac{n!}{2!(n-2)!}=36\\
\dfrac{n(n-1)}{2}=36\\
n(n-1)=72\\
n^2-n-72=0\\
n^2-9n+8n-72=0\\
n(n-9)+8(n-9)=0\\
(n+8)(n-9)=0\\
n=-8 \vee n=9$

The number of players can't be negative, so there was 9 players.

6 0

4 years ago

If (x+ 1) is a factor of the polynomial x³ + px² + x + 6 = 0. Find p.

irakobra [83]

Answer:

p=4

Step-by-step explanation:

plug x=-1 into the polynomial with the unknown

(-1)³+p(-1)+(-1)+6=0

-1-p-1+6=0

-p+4=0

p=4

4 0

2 years ago

A chef at a restaurant cooks 90 meals in one day. 35% of the 90 meals were vegetarian. How many meals were vegetarian?

serg [7]

Answer is 31.5% vegetarian. Here is the my work. Hope this helps!

6 0

2 years ago

The graph shows the system ​{y=2x+1

The graph shows the system {y=2x+1