3 years ago

HALP ASAP !!! 10 POINTS

Mathematics

1 answer:

Art [367]3 years ago

5 0

Answer: a

reason:

if you take any of the numbers and plug it in it works

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91 it is the right answer

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marusya05 [52]

The Lagrangian is

$L(x,y,\lambda)=x+8y+\lambda(x^2+y^2-4)$

It has critical points where the first order derivatives vanish:

$L_x=1+2\lambda x=0\implies\lambda=-\dfrac1{2x}$

$L_y=8+2\lambda y=0\implies\lambda=-\dfrac4y$

$L_\lambda=x^2+y^2-4=0$

From the first two equations we get

$-\dfrac1{2x}=-\dfrac4y\implies y=8x$

Then

$x^2+y^2=65x^2=4\implies x=\pm\dfrac2{\sqrt{65}}\implies y=\pm\dfrac{16}{\sqrt{65}}$

At these critical points, we have

$f\left(\dfrac2{\sqrt{65}},\dfrac{16}{\sqrt{65}}\right)=2\sqrt{65}\approx16.125$ (maximum)

$f\left(-\dfrac2{\sqrt{65}},-\dfrac{16}{\sqrt{65}}\right)=-2\sqrt{65}\approx-16.125$ (minimum)

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3 years ago

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Sloan [31]

Answer:

P( not win) = 2/ (n+2)

Step-by-step explanation:

There are n+2 total possibilities

There are n winners

not win = n+2 - n = 2

P( not win) = not win / total

= 2/ n+2

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3 years ago

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snow_lady [41]

Answer:

i think A. because she is 4/2

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2 years ago

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lilavasa [31]

Perpendicular, slope is reciprocal and opposite

so answer is C. -7

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