Answer:
We conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
Step-by-step explanation:
If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
For example, let the function
It is clear that the given function becomes undefined at x = 3 in the denominator.
i.e. 3-3 = 0
It means, the function can not have x = 3, otherwise, the function will become undefined.
In other words, if the function has a vertical asymptote at x = 3, then the function is undefined at the value.
Therefore, we conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
Answer:
you can check on a website called "desmos graphing."
Answer:
2 hours
Step-by-step explanation:
Let x mph be the speed of motorboat in still water and y mph be the speed of current.
A raft and a motorboat simultaneously leave from the same point and move down the river, then speeds down the river are:
motorboat = x + y mph
raft = y mph
In two hours they will cover:
motorboat = 2(x+y) miles
raft = 2y miles
After 2 hours the motorboat turns around and starts moving towards the raft (against the current), so its speed is now x - y mph.
Let t be the time they move towards each other. In t hours, they cover
motorboat = t(x - y) miles
raft = ty miles
The distance from the starting point to the turning point is the same as the sum of the distances the raft covers and the motorboat covers after turning around, so
the smaller parallelogram is 6th of the size of the big one,
9x6=54x6=324
i believe 324 is the answer
