The team made 2,061.50 at the first game and 2,000.00 at the second game. Because 2,000.00 would be 61.50 less than the amount made at the first game. You can check it by adding 2,061.50 + 2,000.00 which equals $4,061.50.
Your choice of answer D is correct.
_____
When the number of days is zero, the height is 130 inches. This eliminates choices B and C. Evaluating the expression for n=13 gives
... 130 + 13×13 = 130 + 169 = 299 . . . . . corresponding to answer D.
Answer:
a) ![A=\left[\begin{array}{ccc}1&2&3\\1&-1&1\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%263%5C%5C1%26-1%261%5Cend%7Barray%7D%5Cright%5D)
![b=\left[\begin{array}{ccc}0\\1\end{array}\right]](https://tex.z-dn.net/?f=b%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%5C%5C1%5Cend%7Barray%7D%5Cright%5D)
b) 
c) ![A=\left[\begin{array}{ccc}0&6\sqrt{2} &0\\\sqrt{3} &3\sqrt{3} &0\\2&-16&0\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%266%5Csqrt%7B2%7D%20%260%5C%5C%5Csqrt%7B3%7D%20%263%5Csqrt%7B3%7D%20%260%5C%5C2%26-16%260%5Cend%7Barray%7D%5Cright%5D)
![x=\left[\begin{array}{ccc}x_{1} \\x_{2} \\x_{3} \end{array}\right]](https://tex.z-dn.net/?f=x%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx_%7B1%7D%20%5C%5Cx_%7B2%7D%20%5C%5Cx_%7B3%7D%20%5Cend%7Barray%7D%5Cright%5D)
![b=\left[\begin{array}{ccc}-\sqrt{2} \\\sqrt{3} \\6\end{array}\right]](https://tex.z-dn.net/?f=b%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-%5Csqrt%7B2%7D%20%5C%5C%5Csqrt%7B3%7D%20%5C%5C6%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
a) considering the equation:
Minimize 
(matrix A)
vector b
![b=\left[\begin{array}{ccc}0\\1\end{array}\right]](https://tex.z-dn.net/?f=b%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%5C%5C1%5Cend%7Barray%7D%5Cright%5D)
b) If Pxn is matrix B and p-vector d, we have:
minimize 
![Ax=\left[\begin{array}{ccc}0&-6&0\\-4&3&0\\1&8&0\end{array}\right]](https://tex.z-dn.net/?f=Ax%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-6%260%5C%5C-4%263%260%5C%5C1%268%260%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{ccc}x_{1} \\x_{2} \\x_{3} \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx_%7B1%7D%20%5C%5Cx_%7B2%7D%20%5C%5Cx_%7B3%7D%20%5Cend%7Barray%7D%5Cright%5D)
![b=\left[\begin{array}{ccc}-4\\1\\3\end{array}\right]](https://tex.z-dn.net/?f=b%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%5C%5C1%5C%5C3%5Cend%7Barray%7D%5Cright%5D)
![Ax-b=\left[\begin{array}{ccc}-bx_{2}+4 \\-4x_{1}+3x_{2}-1 \\x_{1}+8x_{2}-3 \end{array}\right] =1](https://tex.z-dn.net/?f=Ax-b%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-bx_%7B2%7D%2B4%20%5C%5C-4x_%7B1%7D%2B3x_%7B2%7D-1%20%20%5C%5Cx_%7B1%7D%2B8x_%7B2%7D-3%20%20%5Cend%7Barray%7D%5Cright%5D%20%3D1)

c) minimize 
in matrix:
![A=\left[\begin{array}{ccc}0&6\sqrt{2} &0\\\sqrt{3} &3\sqrt{3} &0\\2&-16&0\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%266%5Csqrt%7B2%7D%20%260%5C%5C%5Csqrt%7B3%7D%20%263%5Csqrt%7B3%7D%20%260%5C%5C2%26-16%260%5Cend%7Barray%7D%5Cright%5D)
![x=\left[\begin{array}{ccc}x_{1} \\x_{2} \\x_{3} \end{array}\right]](https://tex.z-dn.net/?f=x%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx_%7B1%7D%20%5C%5Cx_%7B2%7D%20%5C%5Cx_%7B3%7D%20%5Cend%7Barray%7D%5Cright%5D)
![b=\left[\begin{array}{ccc}-\sqrt{2} \\\sqrt{3} \\6\end{array}\right]](https://tex.z-dn.net/?f=b%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-%5Csqrt%7B2%7D%20%5C%5C%5Csqrt%7B3%7D%20%5C%5C6%5Cend%7Barray%7D%5Cright%5D)
Answer: y = 8
Step-by-step explanation:
12(3)+3y=60
36 + 3y = 60
collect like terms
3y = 60-36
3y = 24
y = 24/3
y = 8