The population of a certain species of fish in a lake after t years is given by P(t)=18801 + 1.42e-0.037t. Find the horizontal a
symptote. What does it represent in this situation?
1 answer:
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Hi student, let me help you out! :)
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We are asked to find the equation of the line, using the given information:
, which is the slope
which is a point that the line contains
- The slope is the number before x, in the form
.
Since "m" is the slope, and we're given what the slope is, we can substitute -3 for m:
|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Now, we need to find the y intercept, "b", of the line.
Here's how it's done:
Remember the point that the line contains, (1,2)?
Well, its y-coordinate is 2; so what we do is substitute 2 for y:
Also, its x-coordinate is 1, so we substitute 1 for x:
Now, solve for b:
Add 3 to both sides:
Thus, we have
Thus, the equation of the line is:
Hope it helps you out! :D
Ask in comments if any queries arise.
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Answer:
p =
Step-by-step explanation:
To make a perfect square
add ( half the coefficient of the x- term )² to x² - x, that is
x² + 2(- )x +
with p =
, thus
x² - x = (x - )² +