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arielove62
31.07.2019 •
Mathematics
Amir stands on a balcony and throws a ball to his dog, who is at ground level.
the ball's height (in meters above the ground), xxx seconds after amir threw it, is modeled by
h(x)=-(x+1)(x-7)
how many seconds after being thrown will the ball reach its maximum height?
seconds
i know i literally just posted one a couple minutes ago but, me again t-t
Solved
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Ответ:
3 seconds
Step-by-step explanation:
To find the highest point, we want to find the vertex of the parabola. Since the function will be negative, the vertex will represent the highest point.
To find the vertex we want this equation in vertex form:
y=a(x−h)2+k
and the vertex will be (h,k)
We can expand the equation h(x)=-(x+1)(x-7) to be:
To get the vertex form we need to complete the square.
The vertex form is :
so our vertex is (3,16)
This means the highest point will be 16 when x = 3
Ответ: