Answer:
Please check explanations
Step-by-step explanation:
Here, we want to make an interpretation
From the question, we have that initially when the count was started, there were 5,428 people; this means that the initial value of the data is 5,428
For the rate of change, we have that there is an average increase of 142 people for each of 5 years;
That means per 5 years, there is an increase of 142 people and this is what represents the rate of change
Hey there James!
So, just remember, 2/5 is almost half of 1.
When it is almost half of 1, this means that it would have to be 2.5/5
This would mean that 4/10 would be your answer, because it is almost half of 1 also.
Hope this helps.
Answer:
and 
Step-by-step explanation:
The equation of curve is

We need to find the equation of the tangent line to the curve at the point (-3, 1).
Differentiate with respect to x.
![2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})](https://tex.z-dn.net/?f=2%5B2%28x%5E2%2By%5E2%29%5Cfrac%7Bd%7D%7Bdx%7D%28x%5E2%2By%5E2%29%5D%3D25%282x-2y%5Cfrac%7Bdy%7D%7Bdx%7D%29)

The point of tangency is (-3,1). It means the slope of tangent is
.
Substitute x=-3 and y=1 in the above equation.





Divide both sides by 130.

If a line passes through a points
with slope m, then the point slope form of the line is

The slope of tangent line is
and it passes through the point (-3,1). So, the equation of tangent is


Add 1 on both sides.


Therefore,
and
.
Answer:
yay u got your answer:))
but seriously what is your question?:))