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:
Yes. For example, a hotel advertises, “Buy 4 nights, get the 5th night free.” Taking advantage of the deal, a customer purchases 5 nights for $400. Each night of the customer’s 5-night stay is subject to the fee.
Step-by-step explanation:
Yes It is a right triangle
Don't forget to make me the brainiest
You have to divide 288 ÷3 that will give you 96 with no remainder. you can check by multiplying 96×3 that will give you 288 . so you have no remainder. no reams were stored
(₋4)²
how i got it -
1st i used the sum-product pattern
x² - 8x + 16
x² -4-4+16
then, found the common fact from the two pairs
x² - 4 - 4 + 16
(-4) - 4(-4)
rewrite in factored form
(x-4)-4(-4)
(-4) (-4)
combine to a square
(-4) (-4)