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4 years ago

46 and one forth percent as a fraction in simple as form

Mathematics

2 answers:

SOVA2 [1]4 years ago

4 0

46 1/4% = 46.25/100 = 23.125/50

adelina 88 [10]4 years ago

3 0

Answer:

the answer is 46 1/4% = 46.25/100 = 23.125/50

Step-by-step explanation:

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EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =

geniusboy [140]

The Lagrangian,

$L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)$

has critical points where its partial derivatives vanish:

$L_x=1-\lambda-2\mu x=0$

$L_y=2+\lambda-2\mu y=0$

$L_z=9-\lambda=0$

$L_\lambda=x-y+z-1=0$

$L_\mu=x^2+y^2-1=0$

$L_z=0$ tells us $\lambda=9$ , so that

$L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu$

$L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}$

Then with $L_\mu=0$ , we get

$x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2$

and $L_\lambda=0$ tells us

$x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}$

Then there are two critical points, $\left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right)$ . The critical point with the negative $x$ -coordinates gives the maximum value, $9+\sqrt{185}$ .

8 0

4 years ago

The product of six and a number x

Nina [5.8K]

Answer:

6(x)

Step-by-step explanation:

Product means multiplication therefore...

6(x) is the equation of the word problem "the product of six and a number"

8 0

3 years ago

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Simplify: 4(5x−3)−3(4x−7)

Degger [83]

Answer:

20x-12 and -12x+21

Which is then 8x+ 9

Step-by-step explanation:

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4 years ago

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Which equation is in point-slope form?

Naya [18.7K]

Answer:

Step-by-step explanation:

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3 years ago

7x+8=4x+4 please work this out and give your fraction an a improper fraction and simplest form

Thepotemich [5.8K]

Answer:

x= -4/3

Step-by-step explanation:

Steps

7x +8 = 4X + 4

Subtract 8 from both sides

7x+ 8-8= 4x + 4-8

Simplify

7x=4x-4

Subtract 4x from both sides

7x-4x=4x-4-4x

Simplify

3X = -4

Divide both sides by 3

3X/3 = -4/3

Simplify

x= -4/3

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2 years ago

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