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Dovator [93]
2 years ago
8

You have 68 feet of fencing to enclose a rectangular plot that borders on a river. If you DO NOT fence the side

Mathematics
1 answer:
Vladimir79 [104]2 years ago
3 0

Answer:

168 = L + 2W

And you want to maximize LW.

Which means you want to maximize W (168 - 2W), or 168W - 2W^2.

To maximize that, the derivative must go to zero.

0 = 168 - 4W, or W = 42. And L = 84. Done. :-)

Step-by-step explanation:

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lbvjy [14]

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What is the actual distance from the library to the grocery store?
gtnhenbr [62]

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3

Step-by-step explanation:

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Aloiza [94]
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3 years ago
Help please!!!
katovenus [111]

Answer:

x = \frac{7+\sqrt{47}\times i }{4}

Step-by-step explanation:

<u>To solve quadratic systems,we always substitute one variable in terms if the other and then solve the equation.</u>

x + 2y = 6                                 ---------------(1)

y - 5 = (x-2)^{2}         ---------------(2)

y = (x-2)^{2} + 5         ---------------(3)

Substitute (3) in (1) ,

x + 2( (x-2)^{2} + 5 ) = 6

(a + b)^{2} =a^{2} + 2ab + b^{2}

x + 2( x^{2} - 4x + 4 + 5 ) = 6

2x^{2} - 7x + 12=0      --------------(4)

The roots of the quadratic equation ax^{2}  +bx+c is

x = \frac{(-b) + \sqrt{(-b)^{2}-4 \times ac }  }{2 \times a}  -----------(5)

According to equation (5),solution of (4) is

x =  \frac{7 + \sqrt{(-7)^{2}-4 \times 24 }  }{2 \times 2}

x =  \frac{7+\sqrt{49-96}}{4}

x = \frac{7+\sqrt{47}\times i }{4}

 

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3 years ago
She has one orange pick for every two green picks how many green picks does she have if she has 12 total picks
Lelechka [254]

She has 6 green picks, because 2*6=12.

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