Medal Here!!! Think of a number less than 20. Subtract this number from 20 and multiply the difference by twice the original number. What is the number that will give the largest product? Good Luck.

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Medal Here!!! Think of a number less than 20. Subtract this number from 20 and multiply the difference by twice the original number. What is the number that will give the largest product? Good Luck.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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19?
What's next?? Explain please. Thanks.
this is a maxima problem \[2x(20-x)\] \[40x-2x^2\] use first derivative test to find the critical values that will give a candidate for the value of x \[f \prime= 40-4x\] \[-4x=-40\] \[x=\frac{ -40 }{ -4}\] x=10 use 2nd derivative test to determine if it maximizes or minimizes the value of f(x) \[f \prime \prime= -4\] \[f \prime \prime (10) = -4 < 0\] therefore x=10 maximizes the value of f(x) x=10 is the number that can give the largest product 2x(20-x) 2(10)(20-10) 200

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@Mr.CutieJ you there?
did i get it right ?

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