A shipping company's inventory for a given item is modeled by the function f(x) = 500 − 8x, where "x" is the number of hours tha
2 answers:
Answer:
The coefficient of x is -8 it means the company ships 8 items each hour.
Step-by-step explanation:
The given function is
where, "x" is the number of hours that elapse since opening.
In the given function 500 represents the initial inventory and coefficient of x represent rate of shipping per hour.
The coefficient of x is -8 it means the company ships 8 items each hour.
It the company ships for ten hours today, then the initial inventory for tomorrow is
The shipping rate doubles. So, the shipping rate for tomorrow is
The function g(x) to model tomorrow's inventory is
Therefore, the required function is g(x)=420-16x.
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now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.
the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.
the distance "p", from the vertex to either the directrix or focus, is really just 1 unit. Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.