Answer:
7
Step-by-step explanation:
8 units separate -4 and 4
8 divided by 2 (which is the x of slope) is four
Four times 1 (which is y of slope) equals four
3+4 equals seven
(4,7)
<em>Greetings from Brasil... </em>
A 1st degree function can be written in two ways:
F(X) = AX + B
or
Y = AX + B
note that F(X) = Y
So, looking at the alternatives in the question, only Y = 7X/3 - 8 is equivalent to Y = AX + B, where:
A = 7/3
B = - 8
then
<em>a function of the 1st degree</em>
answer:
<h2>Y = (7/3)X - 8</h2>
You find the eigenvalues of a matrix A by following these steps:
- Compute the matrix
, where I is the identity matrix (1s on the diagonal, 0s elsewhere) - Compute the determinant of A'
- Set the determinant of A' equal to zero and solve for lambda.
So, in this case, we have
![A = \left[\begin{array}{cc}1&-2\\-2&0\end{array}\right] \implies A'=\left[\begin{array}{cc}1&-2\\-2&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right]=\left[\begin{array}{cc}1-\lambda&-2\\-2&-\lambda\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%26-2%5C%5C-2%260%5Cend%7Barray%7D%5Cright%5D%20%5Cimplies%20A%27%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%26-2%5C%5C-2%260%5Cend%7Barray%7D%5Cright%5D-%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Clambda%260%5C%5C0%26%5Clambda%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1-%5Clambda%26-2%5C%5C-2%26-%5Clambda%5Cend%7Barray%7D%5Cright%5D)
The determinant of this matrix is

Finally, we have

So, the two eigenvalues are

Answer:
600
Step-by-step explanation:
If an item cost 1.23 and you get 75% off the item costs $0.92