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ollegr [7]
3 years ago
8

Plzzz help I suck at math ....

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
6 0
The answer is the last choose 1
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Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular
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The domain of the function is 0 ≤ t ≤ 3 and the greatest concentration of the medication is 2mg/L

<h3>The domain of the function</h3>

The equation of the function is given as:

C(t) = \frac{-18t^2 + 54t}{t^2 + 7t + 10}

Time can be 0 or greater but cannot be negative.

So, the domain of the function includes t ≥ 0

Set the function to 0 to determine the maximum value of t.

\frac{-18t^2 + 54t}{t^2 + 7t + 10} = 0

Cross multiply

-18t^2 + 54t = 0

Factor out -18t

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t - 3 = 0

Add 3 to both sides

t = 3

This means that the maximum value of t is 3

Hence, the domain of the function is 0 ≤ t ≤ 3

<h3>The greatest concentration of the medication</h3>

From the graph of the function (see attachment), we have the maximum value to be;

C(t) = 2

Hence, the greatest concentration of the medication is 2mg/L

Read more about functions at:

brainly.com/question/1214333

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For this item, complete the choice matrix by clicking the appropriate answer in each row.
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Step-by-step explanation:

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Download pdf
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
46d11abaad363adf9d23c0de93a886ed.png
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