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TiliK225 [7]
3 years ago
13

Find the following for the function f(x) = x/x^2+1

Mathematics
1 answer:
7nadin3 [17]3 years ago
8 0

Step-by-step explanation:

step 1. f(0) = 0/(0^2 + 1) = 0/1 = 0

step 2. -f(x) = -x/(x^2 + 1)

step 3. f(9) = 9/(9^2 + 1) = 9/82.

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In a given year, the population of Metro City is 7420, and the population is decreasing by 152 people per year. The population o
Anit [1.1K]

Answer:

The correct option is D.

Step-by-step explanation:

Let <em>x</em> denote the years.

The information provided is:

  • The population of Metro City is 7420.
  • The population is decreasing by 152 people per year.
  • The population of Smallville is consistently 1200 less than half of Metro City.

From the provided data derive the equation for the population of Smallville <em>x</em> years after as follows:

Y = [\frac{1}{2}\cdot (7420-152x)]-1200

The population of Smallville is 2282 after <em>x</em> years.

Compute the value of <em>x</em> as follows:

2282= [\frac{1}{2}\cdot (7420-152x)]-1200

\frac{7420-152x}{2}=2282+1200\\\\7420-152x=3482\times 2\\\\152x=7420-6964\\\\152x=456\\\\x=3

Thus, the time it will take for Smallville's population to reach 2282 is 3 years.

The correct option is D.

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