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Katepratt7637
17.11.2020 •
Mathematics
The temperature of a pot of water placed on a hot burner can be found using the function f(x) = 25x + 60, where x is the number of minutes since the pot was placed on the burner. If the pot of water is on the burner for no more than 3 minutes, what is the domain of the function for this situation?
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Ответ:
Step-by-step explanation:
Given
Required
Determine the domain
The domain, in this case means the possible values of x
From the question, we understand that x represents minutes
Since it's impossible to have a negative minutes, then x starts at 0
i.e.
or ![0 \leq x](/tpl/images/0904/4652/249ad.png)
Also, from the question, we understand that the time can not be more than 3 minutes
i.e.
Now, we have two inequalities:
Which can be written as:
Hence, the domain is:![0 \leq x \leq 3](/tpl/images/0904/4652/e033b.png)
Ответ: