the product of two numbers is 175 and one number is -7 find other ...... please explain this
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The answer is that both of the numbers have to be 150.
Let x is one of the two number, the other one is 300−x, so the function product is:
y=x(300−x)⇒y=300x−x2, abd now let's find the maximum of the function:
y'=300−2x that is positive in (−∞,150)and zero in 150.
So, before 150 the function grows, and after 150the function decreases.
So the number 150 is the local maximum of the function.
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