Answer:
Step-by-step explanation:
Firstly,
We can tell by reading the question that they sell 48 cupcakes witch is 4 dozens every hour so if they continue to sell at that same rate then:
There are 8 hours between 9am and 5pm
∴ It is 48:1
That means 48 cupcakes per hour this is equation is a direct proportion so if any number increases so will the other
So if it is 48:1 then x:8 with be = 48x8
∴ Sarah and Jean will be able to sell 384 cupcakes
Answer: B
Step-by-step explanation:
Answer:
The augmented matrix for each set of linear equations is:
a) 
Augmented matrix:
![\left[\begin{array}{ccc}1&-2&0\\3&4&-1\\2&-1&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-2%260%5C%5C3%264%26-1%5C%5C2%26-1%263%5Cend%7Barray%7D%5Cright%5D)
b) 
Augmented matrix:
![\left[\begin{array}{cccc}1&0&1&1\\-1&2&-1&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%261%261%5C%5C-1%262%26-1%263%5Cend%7Barray%7D%5Cright%5D)
c) 
Augmented matrix:
![\left[\begin{array}{cccccc}1&0&1&0&0&1\\0&2&-1&0&1&2\\0&0&2&1&0&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D1%260%261%260%260%261%5C%5C0%262%26-1%260%261%262%5C%5C0%260%262%261%260%263%5Cend%7Barray%7D%5Cright%5D)
d) 
Augmented matrix:
![\left[\begin{array}{ccc}1&0&1\\0&1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%261%5C%5C0%261%262%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
In order to find the augmented matrix, you have to take the numeric values of each variable and make a matrix with them. For example, in the linear system a) you can make a matrix out of the numeric values accompanying x_1 and x_2, this matrix will be:
Then you have to make a vector with the constants in the linear equations, for the case of system a) the vector will be:
To construct the augmented matrix, you append those matrices together and create a new one:
![\left[\begin{array}{ccc}1&-2&0\\3&4&-1\\2&-1&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-2%260%5C%5C3%264%26-1%5C%5C2%26-1%263%5Cend%7Barray%7D%5Cright%5D)
Answer:
(6, 0 )
Step-by-step explanation:
to find where the line crosses the x- axis, let y = 0 in the equation and solve for x
0 = x - 6 ( add 6 to both sides )
6 = x
the line crosses the x- axis at (6, 0 )
Answer:
Step-by-step explanation:
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