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.
so you were earning say "x", so "x" is the 100% of your paycheck.
but you're da bomb and so you got a raise of 5%, so the new amount of your paycheck is 100% + 5%, so is 105% really, and we happen to know that is $100.
Answer:
The race must be up to 29 meters for Dhvan to win.
Step-by-step explanation:
Since Shaan walks 2.5 meters per second, while his brother Dhvan walks 1 meter per second, and Dhvan wants to have a race, and Shaan knows that he walks faster, but he wants to give his brother a head start of 45 meters, so it doesn't seem that he is allowing him to win, to determine how many meters long should the race be in order for Dhvan to win the following calculation must be performed:
45 / (2.5 - 1) = X
45 / 1.5 = X
30 = X
Therefore, the race must be up to 29 meters for Dhvan to win.
The answer is -6/5
First convert the equation to y=mx+b form
you’ll get y=5/6x+27
then to find the line perpendicular to this equation, you have the flip the slope.
ending with -6/5
Chin is correct because 5 x $.65 is $3.25., and he multiplied by US/GB
Nadene is incorrect because she took GB/US x 5
