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oksian1 [2.3K]
2 years ago
13

A state conservation agency reports that there are currently 3000 deer in a forest. The agency also reports that the deer popula

tion is increasing by 10% each year. Which of the following functions models the deer population after n years?
Mathematics
2 answers:
GrogVix [38]2 years ago
7 0
Do you have a picture of the problem
Scorpion4ik [409]2 years ago
6 0

Answer: P(n) = 3000(0.1)^n

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The function y = x 2 - 10x + 31 has a ____
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Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

f(x) = x^2-10x+31

Taking first derivative

f'(x) = 2x-10

Now the first derivative has to be put equal to zero to find the critical value

2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5

The function has only one critical value which is 5.

Taking 2nd derivative

f''(x) =2

f''(5) = 2

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

f(5) = (5)^2-10(5)+31\\=25-50+31\\=6

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum  value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

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