Answer:
See below
Step-by-step explanation:
Take fox across
go back to get goose
take goose across
take fox BACK
grab dog.....take dog across
go back get grain and take it across
go back get fox and take it across
Answer:
Option A
Step-by-step explanation:
From the graph attached,
Vertical asymptote of the given function → x = -4
Horizontal asymptote → y = 0
Oblique asymptote → None
Therefore, graph that has been given in the picture is,
F(x) =
Option (A) will be the answer.
The first thing we are going to do is find the area of the field. To do this we are going to use the area of a square formula:
![A=s^2](https://tex.z-dn.net/?f=A%3Ds%5E2)
Were
![A](https://tex.z-dn.net/?f=A)
is the area in square kilometers
![s](https://tex.z-dn.net/?f=s)
is one of the sides of the square
We know for our problem that the side lengths of the field are 0.9 kilometers, so
![s=0.9](https://tex.z-dn.net/?f=s%3D0.9)
. Lets replace that value in our formula to find
![A](https://tex.z-dn.net/?f=A)
:
![A=(0.9)^2](https://tex.z-dn.net/?f=A%3D%280.9%29%5E2)
Now, to find the population density of the filed, we are going to use the population density formula:
![P_{d}= \frac{I}{A}](https://tex.z-dn.net/?f=P_%7Bd%7D%3D%20%5Cfrac%7BI%7D%7BA%7D%20)
where
![P_{d}](https://tex.z-dn.net/?f=P_%7Bd%7D)
is the population density in <span>in burrows per square kilometer
</span>
![I](https://tex.z-dn.net/?f=I)
is the number of burrows
![A](https://tex.z-dn.net/?f=A)
is the are of the field
We know that
![I=1980](https://tex.z-dn.net/?f=I%3D1980)
and
![A=0.81](https://tex.z-dn.net/?f=A%3D0.81)
, so lets replace those values in our formula:
![P_{d}= \frac{1980}{0.81}](https://tex.z-dn.net/?f=P_%7Bd%7D%3D%20%5Cfrac%7B1980%7D%7B0.81%7D%20)
![P_{d}=2444.4](https://tex.z-dn.net/?f=P_%7Bd%7D%3D2444.4)
We can conclude that the <span>density of prairie dog burrows is approximately
2444 burrws per square kilometer.</span>
THE FIRST ONE AND THE LAST ONE
The nature of the roots can be determined by the determinant of the equation. The determinant is:
b² - 4ac
If this is positive, there are two roots
If this is 0, there is only one root
If this is negative, there are complex roots