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: g(x)-f(x)=8x-16
Explanation:
f(x)=-3x+4 (I am assuming "-3+4" is a typo and it is "-3x+4")
g(x)=5x-12
g(x)-f(x)=(5x-12)-(-3x+4)=5x+3x-12-4=8x-16
Answer:y=17
Step-by-step explanation:
Use the formula a^2+b^2=c^ which is 7.21
Answer:
Mike can stitch one shirt in 6 hours and in 1 hour he can stitch
(0.167) shirts.
Step-by-step explanation:
Mike can stitch 7 shirts in 42 hours
to calculate the time that he takes to make 1 shirt, we have to divide 42 by 7.
He can stitch 1 shirt in =
= 6 hours
Now we calculate the work done in one hour.
He can stitch in 1 hour =
shirts or 0.167 shirts
Mike can stitch one shirt in 6 hours and in 1 hour he can stitch
shirts.