Answer:
x = 8
Step-by-step explanation:
-1/4 (2x + 8) = -6
Multiply both sides by -4.
2x + 8 = 24
Subtract 8 from both sides.
2x = 16
Divide both sides by 2.
x = 8
Answer: The answer is -2
Step-by-step explanation:
To make this easier, first draw or imagine a vertical line at x=2
Find where the vertical line and the graph intersects.
Draw or imagine that point of intersection.
Now, draw or imagine a horizontal line that goes through the point of intersection.
That horizontal line tells us the the value of the function by passing through that mark that says "-2"
The function's value at x=2 is -2.
(Vote me the brainliest)
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:
dan - 42:7 / 6:1
mia - 48:6 / 8:1
Step-by-step explanation:
mia has the greater sleep to days ratio because she sleeps 8 hours a day, whereas, dan sleep 6 hours a day. as you can see, the ratios can be ordered from greatest to least making mia have the greater ratio.
hope this helps :3
