3 years ago

What is X equal to ?

Mathematics

1 answer:

yanalaym [24]3 years ago

8 0

Answer:

the two possibilities are either 35.5m orrr 65m

Step-by-step explanation:

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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

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

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

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

Open bracket

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

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

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

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

$x =14$

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

5 0

3 years ago

Find the distance between the points (-7, -10) and (-5,-1)

jek_recluse [69]

Answer:

d=√(x2-x1)² + (y2-y1)²

Step-by-step explanation:

ans is √85 unit

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2 years ago

Ayo someone on help me

777dan777 [17]

Answer:

Step-by-step explanation:

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3 years ago

Which statement is always true?

Goshia [24]

I’m pretty sure A is true <3

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2 years ago

Every hour of training raises the salary

timurjin [86]

(10,1250),(20,1400)
slope = (1400 - 1250) / (20 - 10) = 150/10 = 15

so every hr of training raises the salary by $ 15

7 0

3 years ago