D. <span>F(x) = 7x − 105 because however many cars they wash and the amount of money they gain from it, they will still have a combined $105 to spend on the supplies and space.</span>
Answer:
m∠XAZ = 40°
Step-by-step explanation:
Since ∠YAU, ∠YAZ and ∠XAZ are the angles based at a point on a straight line, and the sum of the all angles on a line is 180°.
Therefore, m∠YAU + m∠YAZ + m∠XAZ = 180°
50° + 90° + m∠XAZ = 180°
m∠XAZ = 180° - 140°
= 40°
Therefore, measure of angle XAZ is 40°.
Answer:
x = 15
Step-by-step explanation:
4x is congruent to 45 + 15
4x = 45 + 15
simplify 4x = 60
divide both sides by 4 x = 15
Answer:
c edge
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)