We know that 2x + 5 = 10 - 3x, and because of this we can solve for x.
2x + 5 = 10 - 3x
+3x
5x + 5 = 10
-5
5x = 5
/5
x = 1
We can plug x into each x value to verify if this is true.
2(1) + 5 = 10 - 3(1)
2 + 5 = 10 - 3
7 = 7
Answer: its 1 mile per hour
Step-by-step explanation:
she went around the mile long circle in one hour
You would need 6 gallons of water if there are 24 students
My solution to the problem is as follows:
<span>day 1: 1
day 2: 0.6667
day 3: 0.5111
day 4: 0.4385 <-------
</span>
Therefore, <span>the probability that the animal is in the woods on fourth observation would be 0.4385.
I hope my answer has come to your help. God bless and have a nice day ahead!
</span>
Answer:
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-5](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D%3D-5)
Step-by-step explanation:
Given:
The given matrix is.
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D)
the determinant of the above matrix is.
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=2\times (-4) - (-3)\times 1](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D%3D2%5Ctimes%20%28-4%29%20-%20%28-3%29%5Ctimes%201)
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-8 - (-3)](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D%3D-8%20-%20%28-3%29)
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-8 +3](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D%3D-8%20%2B3)
Therefore, the determinant of the matrix is -5
