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3 years ago

I need serious help. Please

Mathematics

2 answers:

Juli2301 [7.4K]3 years ago

7 0

By definition of supplementary angles, m<1 + m<2 = 180 (a)
and m<2 + m<3 = 180 (b)
Then, m<1 + m<2 = m<2 + m<3 by definition of supplementary angles (c)
Subtract m<2 from each side. You get m<1 = m<3 (d) or <1 =~ <3 (e)

Leto [7]3 years ago

5 0

A is 180 degrees, B is 180 degrees, C is definition of complementary angle, D is 180-angle 2, and E is angle 3.

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d1i1m1o1n [39]

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

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The function is:

$f(x) = Trees * Yield$

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

Open bracket

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$f(x) = 2796 + 104x - 48x - 2x^2$

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

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

$x =14$

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