If we do not care about order, then a combination is an arrangement of r objects chosen from n distinct objects. It can often be seen written as:
![^{n}C_r](https://tex.z-dn.net/?f=%5E%7Bn%7DC_r)
or
![\left(\begin{array}{cc}n\\r\end{array}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cbegin%7Barray%7D%7Bcc%7Dn%5C%5Cr%5Cend%7Barray%7D%5Cright%29)
Its factorial form is:
To solve this, we have to complete the square of ![x^{2} +2x](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B2x)
To do this with halve the
and get rid of the x, then get rid of the power on
, and then put them all in brackets, and the square the bracket, like so:
becomes ![(x+1)^{2}](https://tex.z-dn.net/?f=%28x%2B1%29%5E%7B2%7D)
However
does not equal
If we expand
we get
instead.
So to make it equal, all we do is subtract 1.
So when we complete the square of
, we get ![(x+1)^{2}-1](https://tex.z-dn.net/?f=%28x%2B1%29%5E%7B2%7D-1)
---------------------------------------------------------
So
becomes:
![(x+1)^{2}-1-5=0](https://tex.z-dn.net/?f=%28x%2B1%29%5E%7B2%7D-1-5%3D0)
![(x+1)^{2}-6=0](https://tex.z-dn.net/?f=%28x%2B1%29%5E%7B2%7D-6%3D0)
![(x+1)^{2}=6](https://tex.z-dn.net/?f=%28x%2B1%29%5E%7B2%7D%3D6)
x + 1 = ±√6
x = -1 ± √6
______________________________
Answer:
x = -1 ± √6
Answer:
heyo!
the correct answer is b- 42
<u><em>hope this helps>3</em></u>
Step-by-step explanation:
Whole circle = 360°
360/100 = 3.6° ← one percent of vegetables is 3.6 degrees in the graph
corn + beans = 12 + 15 = 27%
27 * 3.6 = 97.2° = 97° to the nearest whole number
Answer: 97
Answer:
6 divided 1/4= 24/1=24
Step-by-step explanation:
24 is the answer