-2x-y=3 ...(1)
x+2y=4 ...(2)
multiply (2) by 2 and add to (1)
-2x-y+2x+4y=3+8
3y=11
y=11/3
from (2)
x=4-2y=4-2(11/3)
or x=4-(22/3)
=(12-22)/3=-10/3
Answer:
point, line, plane
Step-by-step explanation:
none of these can be defined exactly
![149 \div 18 = x](https://tex.z-dn.net/?f=149%20%5Cdiv%2018%20%3D%20x)
![8r5 = x](https://tex.z-dn.net/?f=8r5%20%3D%20x)
There will be 9 trips the ferry makes and on the last trip there will be 5 cars on the ferry.
Answer:
The teachers have more combined siblings than the students.
Select 3 what?
Step-by-step explanation:
Answer:
Vertical Asymptote:
![x=1](https://tex.z-dn.net/?f=x%3D1)
Horizontal asymptote:
it does not exist
Step-by-step explanation:
we are given
![f(x)=log_3(x-1)](https://tex.z-dn.net/?f=f%28x%29%3Dlog_3%28x-1%29)
Vertical asymptote:
we know that vertical asymptotes are values of x where f(x) becomes +inf or -inf
we know that any log becomes -inf when value inside log is zero
so, we can set value inside log to zero
and then we can solve for x
![x-1=0](https://tex.z-dn.net/?f=x-1%3D0)
we get
![x=1](https://tex.z-dn.net/?f=x%3D1)
Horizontal asymptote:
we know that
horizontal asymptote is a value of y when x is +inf or -inf
For finding horizontal asymptote , we find lim x-->inf or -inf
![\lim_{x \to \infty} f(x)= \lim_{x \to \infty}log_3(x-1)](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%20f%28x%29%3D%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7Dlog_3%28x-1%29)
![\lim_{x \to \infty} f(x)=log_3(\infty-1)](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%20f%28x%29%3Dlog_3%28%5Cinfty-1%29)
![\lim_{x \to \infty} f(x)=undefined](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%20f%28x%29%3Dundefined)
so, it does not exist