Mathematics, 15.07.2019 00:10, karatsgrande9125
Beth wants to plant a garden at the back of her house. she has 32m of fencing. the area that can be enclosed is modelled by the function a(x) = -2x2 + 32x, where x is the width of the garden in metres and a(x) is the area in square metres. what is the maximum area that can be enclosed?
: (
Answers: 1
is a parabola. To find the maximum of a parabola, you need to find it's vertex. The y-coordinate of the vertex will give us the maximum area.![x=\frac{-b}{2a}{/tex] will give us the x-coordinate of the vertex.Compare [tex]-2x^2+32x](/tpl/images/0090/5060/2c835.png)
to 
then ![a=-2,b=32,c=0[tex].So the x-coordinate is [tex]\frac{-(32)}{2(-2)}=\frac{-32}{-4}=8](/tpl/images/0090/5060/f0977.png)
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Beth wants to plant a garden at the back of her house. she has 32m of fencing. the area that can be...
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