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Answer: After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.
Step-by-step explanation:
Given: Sharon is conducting research on two species of birds at a bird sanctuary.
The number of birds of species A is represented by the equation below,where S represents the number of birds, x years after beginning her research.
The number of birds of species B is represented by the equation below,where S represents the number of birds, x years after beginning her research.
To plot the above function, first find points by which they are passing.
For species A, At x=0 ,
At x=2 ,
Similarly find more points and plot curve on graph.
For species A, At x=0 ,
At x=2 ,
Plot a line with the help of these two points.
Now, from the graph the intersection of curve (for A) and line (for B) is at (7,140) which tells that After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.
To figure out the slope between two points, we need to find the rise over run, which is the change in the <em>y value over the change in the x value</em>. This becomes:
And simplifies to:
Using prime notation, the new coordinates after translation are;
<em>New coordinates;</em>
A': (-1, 1)
B': (-1, -2)
C': (3, -2)
D': (3, 2)
- From the attached image, we can see that the coordinates are;
A(-6, 5)
B(-6, 2)
C(-2, 2)
D(-2, 6)
- Translating the polygon down by x units means the value of the y-coordinates will reduce by 4.
- In a similar fashion, translation 5 units to the right means that the x-coordinates would increase by 5.
- Applying these translation numbers to our coordinates, we will now have;
A(-6 + 5, 5 - 4)
B(-6 + 5, 2 - 4)
C(-2 + 5, 2 - 4)
D(-2 + 5, 6 - 4)
Simplifying each of them gives us the new coordinates as;
A: (-1, 1)
B: (-1, -2)
C: (3, -2)
D: (3, 2)
Read more at; brainly.com/question/4726090
