Answer: C.
Step-by-step explanation:
C. is the only one with a 3 right next to the x. In 3x, 3 would be the coefficient)
Answer:
The number of possible choices of my team and the opponents team is
![\left\begin{array}{ccc}n-1\\E\\n=1\end{array}\right i^{3}](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bccc%7Dn-1%5C%5CE%5C%5Cn%3D1%5Cend%7Barray%7D%5Cright%20%20%20%20%20i%5E%7B3%7D)
Step-by-step explanation:
selecting the first team from n people we have
possibility and choosing second team from the rest of n-1 people we have ![\left(\begin{array}{ccc}n-1\\1\\\end{array}\right) = n-1](https://tex.z-dn.net/?f=%5Cleft%28%5Cbegin%7Barray%7D%7Bccc%7Dn-1%5C%5C1%5C%5C%5Cend%7Barray%7D%5Cright%29%20%3D%20n-1)
As { A, B} = {B , A}
Therefore, the total possibility is ![\frac{n(n-1)}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%28n-1%29%7D%7B2%7D)
Since our choices are allowed to overlap, the second team is ![\frac{n(n-1)}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%28n-1%29%7D%7B2%7D)
Possibility of choosing both teams will be
![\frac{n(n-1)}{2} * \frac{n(n-1)}{2} \\\\= [\frac{n(n-1)}{2}] ^{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%28n-1%29%7D%7B2%7D%20%20%2A%20%20%5Cfrac%7Bn%28n-1%29%7D%7B2%7D%20%20%5C%5C%5C%5C%3D%20%5B%5Cfrac%7Bn%28n-1%29%7D%7B2%7D%5D%20%5E%7B2%7D)
We now have the formula
1³ + 2³ + ........... + n³ =![[\frac{n(n+1)}{2}] ^{2}](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bn%28n%2B1%29%7D%7B2%7D%5D%20%5E%7B2%7D)
1³ + 2³ + ............ + (n-1)³ = ![[x^{2} \frac{n(n-1)}{2}] ^{2}](https://tex.z-dn.net/?f=%5Bx%5E%7B2%7D%20%5Cfrac%7Bn%28n-1%29%7D%7B2%7D%5D%20%5E%7B2%7D)
=![\left[\begin{array}{ccc}n-1\\E\\i=1\end{array}\right] = [\frac{n(n-1)}{2}]^{3}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dn-1%5C%5CE%5C%5Ci%3D1%5Cend%7Barray%7D%5Cright%5D%20%3D%20%20%20%5B%5Cfrac%7Bn%28n-1%29%7D%7B2%7D%5D%5E%7B3%7D)
The equation that can be used to determine the original length of the pool is 205.85 = 11.6(l + 3.7)
Let l be the original length of the pool.
Since the length of the pool is increased by 3.7 m, the new length L = l + 3.7.
Also, the area of the pool A = 205.85 square meter and it is a rectangle with width, W = 11.6 meters,
So, A = LW
Substituting the values of the variables into the equation, we have
A = LW
205.85 = (l + 3.7)11.6
So, the equation that can be used to determine the original length of the pool is 205.85 = 11.6(l + 3.7)
Learn more:
brainly.com/question/12932084
Answer:
A=3rd one
B=Yes, Its a straight line through the origin
C=1 cookie costs $0.75
Step-by-step explanation:
The reason why C is $0.75 is because of ratios.
2:$1.5
2 divided by 2=1
2 divided by $1.50=$0.75
$0.75 per cookie
Answer:
T= (9)($.25) + $6.75
Step-by-step explanation:
total cost = 9($.25) + $6.75