The domain of the function given above is the value of w that would make it reasonable. Among the numbers, w cannot be zero because that would make the fraction 70/0 undefined. So the domain of the function is from negative infinity to positive infinity but not zero.
Answer:
<h2>B(-3, 1)</h2>
Step-by-step explanation:
Let's calculate the distance between the corresponding coordinates of points A and C.
![A(1,\ -5),\ C(-5,\ 4)\\\\|AC|_x=|-5-1|=|-6|=6\\\\|AC|_y=|4-(-5)|=|4+5|=|9|=9](https://tex.z-dn.net/?f=A%281%2C%5C%20-5%29%2C%5C%20C%28-5%2C%5C%204%29%5C%5C%5C%5C%7CAC%7C_x%3D%7C-5-1%7C%3D%7C-6%7C%3D6%5C%5C%5C%5C%7CAC%7C_y%3D%7C4-%28-5%29%7C%3D%7C4%2B5%7C%3D%7C9%7C%3D9)
We find such B that
![|AB|=\dfrac{2}{3}|AC|=\dfrac{2|AC|}{3}](https://tex.z-dn.net/?f=%7CAB%7C%3D%5Cdfrac%7B2%7D%7B3%7D%7CAC%7C%3D%5Cdfrac%7B2%7CAC%7C%7D%7B3%7D)
Calculate the unit of division
![a_x=\dfrac{6}{3}=2\\\\b_y=\dfrac{9}{3}=3](https://tex.z-dn.net/?f=a_x%3D%5Cdfrac%7B6%7D%7B3%7D%3D2%5C%5C%5C%5Cb_y%3D%5Cdfrac%7B9%7D%7B3%7D%3D3)
Therefore the coordinateso f the point B are:
![B(x+2,\ y-3)\\\\x+2=-5+2=-3\\\\y-3=4-3=1\\\\\boxed{B(-3,\ 1)}](https://tex.z-dn.net/?f=B%28x%2B2%2C%5C%20y-3%29%5C%5C%5C%5Cx%2B2%3D-5%2B2%3D-3%5C%5C%5C%5Cy-3%3D4-3%3D1%5C%5C%5C%5C%5Cboxed%7BB%28-3%2C%5C%201%29%7D)
Answer:
y=7 and x=-8
Step-by-step explanation:
Isolate x in the first equation:
10x=-17-9y
x=(-17-9y)/10
Substitute into the second equation:
7*((-17-9y)/`10)+10y=14
-119/10+37y/10=14
-119+37y=140
37y=259
y=7
Putting this into the first equation, we get that x=-8
Answer: linear function
Step-by-step explanation:
I believe it's a linear function due to the fact you start with $70 and for every hour after, x, is $50 so there is no change in increase. So it is linear. Hope this helps!