I believe the fastest way to solve this problem is to take any two of the given points and to find the slope and y-intercept of the line connecting those two points.
Let's choose the 2 given points (-3,16) and (-1,12).
Going from the first point to the second, the increase in x is 2 and the increase in y is actually a decrease: -4. Thus, the slope of the line connecting these two points is m = -4/2, or m = -2.
Now use the slope-intercept formula to find the y-intercept, b.
One point on the line is (-3,16), and the slope is m = -2.
Thus, the slope-intercept formula y = mx + b becomes 16 = -2(-3) + b.
Here, b comes out to 10.
So now we have the slope and the y-intercept. Write the equation:
y = mx + b becomes y=-2x+10. Which of the four given answer choices is the correct one?
Answer:
- <u>Question 1:</u> <u />
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- <u>Question 2:</u> <u />
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- <u>Question 3:</u> <u />
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- <u>Question 4:</u> <u />
Explanation:
<u>Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m</u>
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a) By definition:
b) Given:
c) By substitution:
<u>Question 2: Find the general solution of this equation. Use A as a constant of integration.</u>
a) <u>Separate variables</u>
b)<u> Integrate</u>
c) <u>Antilogarithm</u>
<u>Question 3. Which particular solution matches the additional information?</u>
<u></u>
Use the measured rate of 4 grams per hour after 3 hours
First, find the mass at t = 3 hours
Now substitute in the general solution of the differential equation, to find A:
Round A to 1 significant figure:
<u>Particular solution:</u>
<u>Question 4. What was the mass of the bacteria at time =0?</u>
Substitute t = 0 in the equation of the particular solution:
Answer:
i like it is 1/2 can you make smaller hope this help
Step-by-step explanation:
First divide both sides by - 5,
Move the constant to the right side of the equation and change its sign (-4 => +4)
Add the numbers,
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I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
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