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Tatiana [17]
2 years ago
7

Pllzlzz answer

Mathematics
1 answer:
rusak2 [61]2 years ago
8 0

Answer:

x ≈ 6

Step-by-step explanation:

The legs of an isosceles triangle are congruent , both 2x - 4 , then

x + 2x - 4 + 2x - 4 = 24 , that is

5x - 8 = 24 ( add 8 to both sides )

5x = 32 ( divide both sides by 5 )

x = 6.4 ≈ 6 ( to the nearest whole number )

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walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p
laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

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∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

Y(x) = (20+x)(60-2x)

Differentiating with respect to t ( time ),

Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x

Again differentiating with respect to t,

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For maxima or minima,

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⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

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