First picture:
You got the first two right (good job!), so I'll just tackle the third one. If you have to compute 
, it means that you have to substitute 
in place of 
. Differently from the first two points, this will generate a new function, rather than a specific value:
Second picture:
Given the point 
highlighted in the picture, you can deduce that the base is 
units long (since it spans from 
to 
) and the height is 
units long (because it spans from to ). So, the area of the rectangle is the multiplication between base and height:
But we know that 
, so we have
The domain of this function is given by the domain of the square root: we want its argument to be non, negative, so we have
But since the problem is symmetric, the answer is
You can only see the answer 
because, if you choose 
or 
, the rectangle degenerates to a segment, and your exercise doesn't like this scenario, apparently
The fraction for ur problem would he since 12639 _< 782
<em>This means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>
<h2 /><h2>
Explanation:</h2>
See the complete question in the attached file. In this exercise, we know that Oceanview charges $100 per day plus a one-time fee of $40. This can be represented by the following equation:
Total cost for Oceanview:
Total cost for Beachside:
Where:
So we have to explain what the equation:
represents in the context of the problem. We have used substitution in order to get that equation, so <em>this means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>
This value was calculated and we get that<em> the cost at the hotels will be the same after 4 days and it will be $440.</em>
<h2>
Learn more:</h2>
Linear equations: brainly.com/question/12412678
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