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torisob [31]
3 years ago
7

My age is the difference between twice my age in 4 years and twice my age 4 years ago how old am I?

Mathematics
1 answer:
Llana [10]3 years ago
6 0

Answer: 16

Step-by-step explanation:

let a = your present age

a = 2(a+4) - 2(a-4)

a = 2a + 8 - 2a + 8

a = 2a - 2a + 8 + 8

a = 16 yrs is your age

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A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t
VLD [36.1K]

Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field=1500000 square ft

Area of rectangular field=l\times b

Area of rectangular field=x\time y

1500000=xy

y=\frac{1500000}{x}

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Substitute the value of y

P(x)=2x+3(\frac{1500000}{x})

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Differentiate w.r.t x

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Using formula:\frac{dx^n}{dx}=nx^{n-1}

P'(x)=0

2-\frac{4500000}{x^2}=0

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x^2=\frac{4500000}{2}=2250000

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It is always positive because length is always positive.

Again differentiate w.r.t x

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Substitute x=1500

P''(1500)=\frac{9000000}{(1500)^3}>0

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Substitute x=1 500

y=\frac{1500000}{1500}=1000

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Substitute the values

Shortest length of fence used=2(1500)+3(1000)=6000 ft

Hence, the shortest length of fence that the rancher can used=6000 ft

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Step-by-step explanation:

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