Answer:
The system has infinite solutions described in the set 
Step-by-step explanation:
The augmented matrix of the system is ![\left[\begin{array}{cccc}-1&-1&-1&4\\2&1&0&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-1%26-1%26-1%264%5C%5C2%261%260%262%5Cend%7Barray%7D%5Cright%5D)
.
We apply row operations:
1. We add the first row to the second row twice and obtain the matrix ![\left[\begin{array}{cccc}-1&-1&-1&4\\0&-1&-2&10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-1%26-1%26-1%264%5C%5C0%26-1%26-2%2610%5Cend%7Barray%7D%5Cright%5D)
2. multiply by -1 the rows of the previous matrix and obtain the matrix ![\left[\begin{array}{cccc}1&1&1&-4\\0&1&2&-10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%261%261%26-4%5C%5C0%261%262%26-10%5Cend%7Barray%7D%5Cright%5D)
that is the reduced echelon form of the matrix associated to the system.
Now we aply backward substitution:
1. Observe that the reduced echelon form has a free variable, then the system has infinite solutions.
2.
3.
.
Then the set of solutions is
Answer:
150 hombres juegan baloncesto.
Step-by-step explanation:
En una escuela hay 315 alumnos de los cuales 1/3 son mujeres y el resto son hombres.
Paso 1
Encontramos el número de estudiantes que son mujeres
= 1/3 × 315
= 105 mujeres.
Se nos dice que el resto son hombres. Por lo tanto, el número de hombres que son estudiantes se da como:
= 315 - 105 mujeres
= 210 hombres
Paso 2
2/7 de los hombres juegan fútbol y el resto baloncesto.
Esto significa que 2/7 de 210 hombres juegan al fútbol
= 2/7 × 210 hombres
= 60 hombres
Por tanto, 60 hombres juegan al fútbol.
Paso 3
También se nos dice que el resto juega al baloncesto.
El número de hombres que juegan baloncesto se calcula como:
210 - 60
= 150 hombres.
Por tanto, 150 hombres juegan baloncesto.
You would most likely use lettuce leaves, because grapes are little orbs of fruit with no leaves, zuchini are funny shaped veggies, and hibiscus is a type of tree. So, the most logical answer would be lettuce leaves.
Answer:
The first one is right the rest of them is not right correct
Step-by-step explanation:
Number of hours worked: 8
earning per hour = $9
tax = 16%
First, multiply the number of hours by the earnings per hour:
8 x 9 = $72 (total earnings)
Now, find the tax amount by multiplying the total earnings by the tax percentage in decimal form (divided by 100)
72 x (16/100)= 72 x 0.16 = $11.52
Finally, subtract the tax amount to the total earnings:
Money left: 72-11.52 = $ 60.48
