Well we overall have two different equations we can make here with two different variables. If 35 & 20 were to be our daily charge, and y is our per mile charge, we can infer that x times y is equal to our overall car-rental price, so if we set it out correctly, our equations should be
35 x (y).15 =
20 x (y).45 =
Answer:
No :)
Step-by-step explanation:
the graph does not make a straight line. :)
Since <span>x</span> contains the variable to solve for, move it to the left side of the equation by subtracting <span>x</span> from both sides.<span><span><span><span><span>2m</span><span><span>−n</span>x</span></span><span>−x</span></span>=4
</span></span>Since 2m does not contain the variable to solve for, move it to the right side of the equation by subtracting 2m from both sides.<span><span><span><span><span>n</span>x</span><span>-x</span></span>=<span><span><span>-2</span>m</span>+4</span></span></span>Factor <span>x</span> out of <span><span><span><span>−n</span>x</span><span>−x</span></span></span><span><span><span>x<span>(<span><span>−n</span><span>−1</span></span>)</span></span>=<span><span><span>−2</span>m</span>+4</span></span></span>Divide each term by <span><span><span>−n</span><span>−1</span></span><span><span>-n</span><span>-1</span></span></span> and simplify.<span>x=<span><span><span>2<span>(<span>m<span>−2</span></span>)/</span></span><span>n+1</span></span></span></span>
3x - 2y + 2 = 0 → -2y + 2 = -3x → -2y = -3x - 2 → y = 
x + 1
x - y + 3 = 0 → -y + 3 = -x → -y = -x - 3 → y = x + 3
These two equations have the same slope but different y-intercepts so they are parallel lines. (aka inconsistent).
Answer: Inconsistent, (0, 1), (0, 3)
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Represent equations 1, 2 and 3 in matrix form gives:
![\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%261%5C%5C5.5%266%267%5C%5C-3%261%260%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D47%5C%5C302%5C%5C0%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5C%5C%5C%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%261%5C%5C5.5%266%267%5C%5C-3%261%260%5Cend%7Barray%7D%5Cright%5D%20%5E%7B-1%7D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D47%5C%5C302%5C%5C0%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5C%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D6%5C%5C18%5C%5C23%5Cend%7Barray%7D%5Cright%5D)
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats
