Answer:
![\left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-12%26-13%2613%26%7C15%5C%5C7%26-10%26-3%26%7C11%5C%5C7%2614%265%26%5C%3A%5C%3A%5C%3A%7C-5%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The system of equations is;
-12x-13y +13z =15
7x-10y-3z = 11
7x+14y +5z = -5
The coefficient matrix is ![\left[\begin{array}{ccc}-12&-13&13\\7&-10&-3\\7&14&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-12%26-13%2613%5C%5C7%26-10%26-3%5C%5C7%2614%265%5Cend%7Barray%7D%5Cright%5D)
The constant matrix is ![\left[\begin{array}{c}15\\11\\-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D15%5C%5C11%5C%5C-5%5Cend%7Barray%7D%5Cright%5D)
The augmented matrix is ![\left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-12%26-13%2613%26%7C15%5C%5C7%26-10%26-3%26%7C11%5C%5C7%2614%265%26%5C%3A%5C%3A%5C%3A%7C-5%5Cend%7Barray%7D%5Cright%5D)
Divide both sides by 2³. Remember, when dividing exponent terms with the same base, you subtract the exponents.
You're then left with

=

Therefore, n = 6
Answer:
1. c 2. a 3. b
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
H - I
:
a bottle has 1 3/4 liters. The first thing to do is convert this mixed fraction to an improper fraction. 1 equals 4/4, so 4/4+3/4=7/4, it says they want to take 6 1/4 glasses, we convert this to a fraction, we multiply 6*1/4=6/4 and this simply we have to subtract it from 7/4 which are the liters
7/4-6/4= 1/4
so we have 1/4 of a liter left over
una botella tiene 1 3/4 de litros. Lo primero que hay que hacer es convertir esta fracción mixta en fracción impropia. 1 equivale a 4/4, entonces 4/4+3/4=7/4, dice que quieren llevar 6 vasos de 1/4, esto lo convertimos en fracción, multiplicamos 6*1/4=6/4 y esto simplemente lo tenemos que restar a 7/4 que son los litros
7/4-6/4= 1/4
entonces nos sobra 1/4 de litro