Answer:
Min
Step-by-step explanation:
To check if it has a max or min, you must reference the a value. The a value in this case is 2, and that is positive. Positive parabolas point up, so they can only have a minimum point.
Answer:
345 miles
Step-by-step explanation:
So we know that 2 cities are 5.75 inches apart on the map and the scale reads for every 0.5 inch its 30 miles. So we can first start of by diving 5.75 by 0.5, since we need to know how many “0.5” inches are in 5.75 inches. You’d get 11.5. Now 11.5 multiply that by 30 which would get you 345 miles.
Answer:
![\left[\begin{array}{ccc}-25&\dfrac{75}{2}&-\dfrac{25}{2}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%26%5Cdfrac%7B75%7D%7B2%7D%26-%5Cdfrac%7B25%7D%7B2%7D%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
In the first equality
![5\times \left[\begin{array}{cc}-1&2\\4&8\end{array}\right] =\dfrac{2}{5}m\times \left[\begin{array}{cc}-1&2\\4&8\end{array}\right],](https://tex.z-dn.net/?f=5%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%262%5C%5C4%268%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cdfrac%7B2%7D%7B5%7Dm%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%262%5C%5C4%268%5Cend%7Barray%7D%5Cright%5D%2C)
the matrices in both parts are the saem. The equality will be true if the same matrices are multiplied by the same numbers, so
For the second equality
![(H+[1\ 4\ -2])+[3\ 2\ -6]=[-2\ 3\ -1]+([1\ 4\ -2]+[3\ 2\ -6]),](https://tex.z-dn.net/?f=%28H%2B%5B1%5C%204%5C%20-2%5D%29%2B%5B3%5C%202%5C%20-6%5D%3D%5B-2%5C%203%5C%20-1%5D%2B%28%5B1%5C%204%5C%20-2%5D%2B%5B3%5C%202%5C%20-6%5D%29%2C)
if ![H=[-2\ 3\ -1]](https://tex.z-dn.net/?f=H%3D%5B-2%5C%203%5C%20-1%5D)
, then this equality represents the assotiative property of matrix addition.
Hence,
![m\times H=\dfrac{25}{2}\times [-2\ 3\ -1]=\left[\begin{array}{ccc}-25&\dfrac{75}{2}&-\dfrac{25}{2}\end{array}\right]](https://tex.z-dn.net/?f=m%5Ctimes%20H%3D%5Cdfrac%7B25%7D%7B2%7D%5Ctimes%20%5B-2%5C%203%5C%20-1%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%26%5Cdfrac%7B75%7D%7B2%7D%26-%5Cdfrac%7B25%7D%7B2%7D%5Cend%7Barray%7D%5Cright%5D)
22% of those surveyed liked neither pop nor rap music.
Step-by-step explanation:
It is given that,
The 11th grade class at Red Hook high school was surveyed about the types of music they liked.
- Pop music ⇒ 64%
- Rap music ⇒ 52%
- Both pop and rap music ⇒ 38%
We know that, the total survey is 100%.
<u>To find the percent of those surveyed liked neither of the music :</u>
Let x be the percentage of those liked neither pop or rap music.
The formula used here is ,
Total = Pop + rap - Both + neither.
⇒ 100% = 64% + 52% - 38% + x
⇒ 100% = 78% + x
⇒ 100% - 78% = x
⇒ x = 22%
Therefore, 22% of those surveyed liked neither pop nor rap music.
Step-by-step explanation:
a. the domain ={-3, 0, 1, 2}
the range = {6, 2, 0, -3}
the relation is a function
b. the domain = {-1, 2, 1}
the range = { -4, 8, 4}
the relation is not a function
