3 years ago

|(x-19)+11| , if x > , if x = , if x < i'll give brainlyest

2 answers:

4 0

which sedimentbcan bestvdescribe we power how can ubsee

Step-by-step explanation:

Lesechka [4]3 years ago

4 0

x-19=-11 is the correct way of this math problem

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Musya8 [376]

Call these numbers $x,y$ . Then $x+y=7$ or $y=7-x$ .

We want to maximize their product,

$f(x,y)=xy\implies f(x,7-x)=F(x)=7x-x^2$

We could consider the derivative, but I think that's overkill. Instead, let's complete the square:

$7x-x^2=-\left(x^2-7x+\dfrac{49}4\right)+\dfrac{49}4=\dfrac{49}4-\left(x-\dfrac72\right)^2$

whose graph is a parabola opening downward with vertex at $\left(\dfrac72,\dfrac{49}4\right)$ , so that the maximum product is $\dfrac{49}4$ .

Now if $x=\dfrac72$ , it follows that $y=7-\dfrac72=\dfrac72$ .

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LUCKY_DIMON [66]

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