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3 years ago

How many times does 9 go into 54,072

Mathematics

2 answers:

valina [46]3 years ago

8 0

1/6008
is the answer I believe

maxonik [38]3 years ago

5 0

9 goes into 54,072 six thousand and eight times

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Is (5,9) a solution to y=3x-6? Explain or show how you know.

Lisa [10]

Answer:

Yes

Step-by-step explanation:

Plug in the coordinate (5,9) into the equation

9=3(5)-6

9=15-6

9=9

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3 years ago

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There is a line that includes (-8,-6) and has a slope of 1. What equation in the slope-intercept form?

andrew11 [14]

point slope form

y-y1 = m(x-x1)

y-(-6) = 1(x-(-8))

y+6 = x+8

subtract 6 from each side

y=x+2

this is in slope intercept form

Answer y=x+2

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3 years ago

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, $9+\sqrt{185}$ .

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4 years ago

What is the definition of<br> average velocity?<br>

Dima020 [189]

Step-by-step explanation:

is it's total displacement divided by the total time taken.

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3 years ago

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Damm [24]

Answer:

Its is C! :)

Step-by-step explanation:

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3 years ago

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