Step-by-step explanation:
By Completing the Square,
![\begin{align}f(x)&=-2x^2+4x+6\\&=-2(x^2-2x)+6\\&=-2(x^2-2x+1)+8\\&=-2(x-1)^2+8 \end{align}](https://tex.z-dn.net/?f=%5Cbegin%7Balign%7Df%28x%29%26%3D-2x%5E2%2B4x%2B6%5C%5C%26%3D-2%28x%5E2-2x%29%2B6%5C%5C%26%3D-2%28x%5E2-2x%2B1%29%2B8%5C%5C%26%3D-2%28x-1%29%5E2%2B8%20%5Cend%7Balign%7D)
Since the first tern is at most zero, the maximum value occurs when
![x=1, f(x)=8](https://tex.z-dn.net/?f=x%3D1%2C%20f%28x%29%3D8)
6 times (2/8)+ 6(5/8)
12/8+ 30/8= 42/8
D
Answer:
510 is the area
Step-by-step explanation:
btw the next time you need help with an area multiply the length (the long side of the shape) times the width (the short side of the shape) if you feel like the answer is wrong when you multiply it just use a calculator and you get your answer
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