Answer:

Time for bacteria count reaching 8019: t = 2.543 hours
Step-by-step explanation:
To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:




Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:


Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.
Answer: if you go to calculator soup you can look up fraction calc or simplily just look up 3 and 1 half divided by 2 thirds i hope this heloed
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
I don't know if your question is multiple choice or not but here's a close estimate to what it should be.
y =
Step-by-step explanation:
Obviously at a drop of 0 height there would be 0 rebound height so your y-intercept has to be 0.
As for the slope of the line I used the point at 2.5 and 3.
Here are the coordinates (2.5, 1.25) and (3, 1.625)
Find the average rate of change as you see below
1.625 - 1.25 = .375
3 - 2.5 = .5
.375 / .5 = .75 or 3x/4
The points aren't exactly on the line and the graph isn't 100% linear so obviously the equation is not 100% precise. The slope should very close to 0.75 or 3/4.
The factored expression would look like this : 3(x+8)(x-8)