Answer:
This system has one solution (x=2 and y=2), then the answer is A.
Step-by-step explanation:
The system of equations is:
(1)
(2)
Let's multiply the first equation by 2 and subtract it to the second equation
![6x-2x+2y-2y=16-8](https://tex.z-dn.net/?f=6x-2x%2B2y-2y%3D16-8)
![x=2](https://tex.z-dn.net/?f=x%3D2)
Using this value in (1) we can find y.
![6+y=8](https://tex.z-dn.net/?f=6%2By%3D8)
![y=2](https://tex.z-dn.net/?f=y%3D2)
Therefore, this system has one solution (x=2 and y=2), the answer is A.
I hope it helps you!
Answer:
b = 2A+c
Step-by-step explanation:
A = (b-c)/2
Multiplying both sides by 2
=> 2A = b-c
Adding c to both sides
=> 2A+c = b
OR
=> b = 2A+c
Answer:(x-1)^2 -96
Step-by-step explanation:
Not sure if this is correct but I included the workings out
We know that the number of workers doubles every week.
This implies that the number of workers of the previous week is exactly half of the current one's.
So, it took 11 weeks for the factory to be at half capacity.
Answer:
<h2>1</h2>
Step-by-step explanation:
![\frac{\sqrt[3]{7}\sqrt{7} }{\sqrt[6]{7^{5} } } \\\\=\frac{7^{\frac{1}{3}+\frac{1}{2}}}{\sqrt[6]{7^5}}\\\\=\frac{7^{\frac{5}{6}}}{\sqrt[6]{7^5}}\\\\=\frac{7^{\frac{5}{6}}}{\left(7^5\right)^{\frac{1}{6}}}\\\\=\sqrt[6]{\frac{7^5}{7^5}}\\\\=\sqrt[6]{1}\\\\=1](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B7%7D%5Csqrt%7B7%7D%20%20%7D%7B%5Csqrt%5B6%5D%7B7%5E%7B5%7D%20%7D%20%7D%20%5C%5C%5C%5C%3D%5Cfrac%7B7%5E%7B%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7B%5Csqrt%5B6%5D%7B7%5E5%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B7%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7B7%5E5%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B7%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D%7D%7B%5Cleft%287%5E5%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%7D%5C%5C%5C%5C%3D%5Csqrt%5B6%5D%7B%5Cfrac%7B7%5E5%7D%7B7%5E5%7D%7D%5C%5C%5C%5C%3D%5Csqrt%5B6%5D%7B1%7D%5C%5C%5C%5C%3D1)