Answer: h = 9
Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.
The matrix given is:
![\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C5%26-7%26-3%5Cend%7Barray%7D%5Cright%5D)
Transform this matrix in a row-echelon form:
![\left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C0%260%26-9%2Bh%5Cend%7Barray%7D%5Cright%5D)
For this row-echelon form to have solutions:
-9 + h = 0
h = 9
For this system to be consistent: h = 9.
Answer:
1/56 chance
Step-by-step explanation:
3/8 x 2/7 x 1/6 = 1/56
Answer:
(-3, 2)
Step-by-step explanation:
Given that point Q, partitions segment PE, such that PQ:QE is 1:3, coordinates of point Q is found using the formula below:
Where,
Plug in the necessary values to find x and y coordinates for point Q as follows:
The coordinates of the point Q are (-3, 2))
The population of Saya islands after 4 months will be 8,100 people.
It is given in the question that:-
Initial population of Saya island = 100 people
The population of the Saya island tripled every month
We have to find the population of the island after 4 months.
The population of Saya island after 1 month = 100*3 = 300 people.
The population of Saya island after 2 months = 300*3 = 900 people.
The population of Saya island after 3rd months = 900*3 = 2,700 people.
The population of Saya island after 4th months = 2700*3 = 8,100 people.
To learn more about population, here:-
brainly.com/question/27991860
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