3 years ago

Divide a³+8b³ by a+2b

Mathematics

1 answer:

Gre4nikov [31]3 years ago

5 0

Here you go, hope it helped you out

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A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

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Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

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$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

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5v+8w

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Option A

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3 years ago

Divide a³+8b³ by a+2b​

Divide a³+8b³ by a+2b