An asymptote is of a graph of a function is a line that continually approaches a given curve but does not meet it at any finite distance.
There are three major types of asymptote: Vertical, Horizontal and Oblique asymptotes.
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. They are the values of x for which a rational function is not defined.
Thus given the rational function:
The vertical asymptotes are the vertical lines corresponding to the values of x for which
Solving the above quadratic equation we have:
Therefore, the vertical asymptotes of the function
are x = 2 and x = -5
The horizontal asymptote of a rational function describes the behaviour of the function as x gets very big.The horizontal asymptote is usually obtained by finding the limit of the rational function as x tends to infinity.
For rational functions with the highest power of the variable of the numerator less than the highest power of the variable of the denominator, the horizontal asymptote is usually given by the equation y = 0.
For rational functions with the highest power of the variable of the numerator equal to the highest power of the variable of the denominator, the horizontal asymptote is usually given by the ratio of the coefficients of the highest power of the variable of the numerator to the coefficient of the highest power of the denominator.
Therefore, the horizontal asymptotes of the function
is
Answer:
Im Guessing 320?
Step-by-step explanation:
Just a reasonable guess. Sorry if wrong.
Answer:
w = 40 miles per hour
r = 300 miles per hour
Step-by-step explanation:
We add w with the wind and subtract w against the wind
r+w = 340 miles per hour
r - w = 260 miles per hour
Add the two equations together to eliminate w
r+w = 340 miles per hour
r - w = 260 miles per hour
----------------------------------------
2r = 600
Divide by 2
r = 300 miles per hour without the wind
Now find w
r+w = 340
300 + w = 340
Subtract 300
w = 340-300
w = 40 miles per hour
It’s obviously 15 because if you add all of the sides together you get red and r = 15, so it would be 15/26
Answer:
5/9
Step-by-step explanation:
Step 1:
15 + 12
Step 2:
27
Step 3:
15/27
Step 4:
15/27 = 5/9
Answer:
5/9
Hope This Helps :)
