3 years ago

What is the slope of the line that passes through the points (8, 6) and (10,5)?

Mathematics

1 answer:

kykrilka [37]3 years ago

3 0

Answer:

m= -1/2

Step-by-step explanation:

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Select the correct answer. Which function has a domain of all real numbers? A.y=(x+2)^ 1/4 B.y=-x^ 1/2+5 C.y=-2(3x)^1/6 D.y=(2x)

BaLLatris [955]

Answer:

The answer is probably A

Step-by-step explanation:

Its domain is the only one of these that contain -2, which is a real number.

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Rue or False: Temperatures above-zero represent negative numbers. *

skelet666 [1.2K]

Answer:

False

Step-by-step explanation:

tempuratures below zero are negative.

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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, $9+\sqrt{185}$ .

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4 years ago

What is 310,763,136 in word form

Mariana [72]

Three hundred and ten million, seven hundred and sixty three thousand, one hundred and thirty six.

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3 years ago

What is the value of x in equation 0.2(x+1)+ 0.5x = - 0.3(x-4)

Greeley [361]

Answer: x=1

Step-by-step explanation:

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