The right choice is: A <em>whole</em> number constant could have been <em>subtracted</em> from the <em>exponential</em> expression.
Let be an <em>exponential</em> function of the form
, where
and
are <em>real</em> numbers. A <em>horizontal</em> asymptote exists when
, which occurs for
.
For this function, the <em>horizontal</em> asymptote is represented by
and to change the value of the asymptote we must add the <em>parent</em> function by another <em>real</em> number (
), that is to say:
(1)
In this case, we must use
to obtain an horizontal asymptote of -3. Thus, the right choice is: A <em>whole</em> number constant could have been <em>subtracted</em> from the <em>exponential</em> expression.
To learn more on asymptotes, we kindly invite to check this verified question: brainly.com/question/8493280
We need to find the probability that a selected animal will be an threatened given they are a bird: P(T/B). So,
![P(T/B)= \frac{P(T\cap B)}{P(B)}](https://tex.z-dn.net/?f=%20P%28T%2FB%29%3D%20%5Cfrac%7BP%28T%5Ccap%20B%29%7D%7BP%28B%29%7D%20%20)
Where, Probability of threatened animal that are birds:
= ![\frac{15}{475}](https://tex.z-dn.net/?f=%20%5Cfrac%7B15%7D%7B475%7D%20%20)
and probability of bird=![\frac{90}{475}](https://tex.z-dn.net/?f=%20%5Cfrac%7B90%7D%7B475%7D%20%20)
Therefore, P(T/B)= \frac{P(T\cap B)}{P(B)}
= ![\frac{\frac{15}{475}}{\frac{90}{475}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Cfrac%7B15%7D%7B475%7D%7D%7B%5Cfrac%7B90%7D%7B475%7D%7D%20%20%20%20)
=![\frac{15}{90}](https://tex.z-dn.net/?f=%20%5Cfrac%7B15%7D%7B90%7D%20%20)
=0.1667
=16.67%
(-3/4m) -(1/2)=2+(1/4m)
-(1/2)=2+m
m= -3/2
Answer:
5.7 pints of blue paints will be used to paint her bedroom walls