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maddbroms
27.08.2020 •
Mathematics
You plan to rent a car from XYZ Car Rental Company for a flat rate of $35 a
day. If you plan to use the car for 3 days or fewer, you must also pay a $10
insurance fee per day. If you plan to use the car for more than 3 days, there is
a $5 insurance fee per day. Write a piecewise-defined function that models this
function.
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Ответ:
(x-h)² = +/- 4a(y-k) or
(y-k)² = +/- 4a(x-h), where
(h,k) are the coordinated of the vertex
a is the distance of the focus from the vertex
From the problem, it says that the vertex is at the origin, so the coordinates are (0,0). That means h=0 and k=0. Also, the focus is a=3. Thus, the possible equations for the reflector are
x² = +/- 12y and y² = +/- 12x
Any of those are possible because the problem mentions that it can open anywhere. Therefore, it could open downwards(-) or upwards(+) if it passes the x-axis twice; or to the left(-) or to the right(+) if its passes the y-axis twice.