Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
In order to find the answer, we need to do as follows:
Average no. of people per km^2 = total no. of people ÷ total no. of people
Average no. of people per km^2 = 1, 080, 264, 388 ÷ 2, 973, 190
Average no. of people per km^2 = 363.335134317
Now we need to round the answer to the nearest whole number. In this case, we will be rounding down as displayed below:
Average no. of people per km^2 = 363 people
ANSWER:
Therefore, the answer is:
There are an average of 363 people per km^2 of land in India.
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Notice that we can simplify both numerator and denominator of our rational function. In the numerator we have a quadratic expression of the form

. To to simplify it, we are going to find tow numbers that add to 2 and multiply to -8; those numbers are 4 and -2.

In the denominator we have a difference of squares:

Now we can rewrite our function:

From the simplified form of our rational function we can infer that its graph has two vertical asymptotes at

and
We can conclude that the graphic of our rational function is:
Answer: (-6, 5)
<u>Step-by-step explanation:</u>
Use the Midpoint Formula: 
Separate the x's and y's and solve them individually:

So, the k-coordinate is (-6, 5)
Answer:
p^5 + q^5
Step-by-step explanation:
(p + q)^5
p^5 + q^5 Distribute the fifth power to the letters in the paranthesis
For this case we have the following expression:
(x ^ 2 + 2x + 1 / x ^ 2-8x + 16) / (x + 1 / x ^ 2-16)
Rewriting we have:
(((x + 1) (x + 1)) / ((x-4) (x-4))) / (x + 1 / ((x + 4) (x-4)))
Then, we cancel similar terms:
((x + 1) / (x-4)) / (1 / (x + 4))
Rewriting:
((x + 1) (x + 4)) / (x-4)
Answer:
((x + 1) (x + 4)) / (x-4)