Answer:
The correct answers are:
(1) The vertical asymptote is x = 0
(2) The horizontal asymptote is y = 0
Step-by-step explanation:
(1) To find the vertical asymptote, put the denominator of the rational function equals to zero.
Rational Function = g(x) =
Denominator = x = 0
Hence the vertical asymptote is x = 0.
(2) To find the horizontal asymptote, check the power of x in numerator against the power of x in denominator as follows:
Given function = g(x) =
We can write it as:
g(x) =
If power of x in numerator is less than the power of x in denominator, then the horizontal asymptote will be y=0.
If power of x in numerator is equal to the power of x in denominator, then the horizontal asymptote will be y=(co-efficient in numerator)/(co-efficient in denominator).
If power of x in numerator is greater than the power of x in denominator, then there will be no horizontal asymptote.
In above case, 0 < 1, therefore, the horizontal asymptote is y =
Answer:
42
Step-by-step explanation:
Angle 1 and the angle that is 138 degrees is on the same line. A line is 180 degrees, so you subtract 138 from 180 and you get 42. I hope this helps (:
Answer: ![\frac{10}{9} x\text{ milliliter}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B9%7D%20x%5Ctext%7B%20milliliter%7D)
Step-by-step explanation:
Let the volume of full bottle is y milliliter.
According to the question,
![90\% \text{ of } y = x](https://tex.z-dn.net/?f=90%5C%25%20%5Ctext%7B%20of%20%7D%20y%20%3D%20x)
![\frac{90}{100} y = x](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B100%7D%20y%20%3D%20x)
![\frac{9}{10} y = x](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B10%7D%20y%20%3D%20x)
![y=\frac{10}{9} x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B10%7D%7B9%7D%20x)
Thus, the volume of full bottle = ![\frac{10}{9} x\text { milliliter}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B9%7D%20x%5Ctext%20%7B%20milliliter%7D)
⇒ Option A is correct.