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2 years ago

Identify the graph and describe the solution set of this system of inequalities.

Mathematics

1 answer:

Musya8 [376]2 years ago

4 0

Answer:

-x-2<y<-x-10

Step-by-step explanation:

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Where are the numbers so that people can help you

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3 years ago

Please help me with this question

ExtremeBDS [4]

Answer:

384 Cubic Inches

Step-by-step explanation:

We can divide the original object into two separate shapes, then we can take the first shape of 6*4*2, and find its volume of 48, then we can take the larger object of 12 * 14 * 2 and find its volume of 336 and add the two values together to find the original shape's volume of 384 Cubic Inches.

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3 years ago

How do find the domain and range of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7Bx-8%7D%7D" id="TexFormula1" tit

Kisachek [45]

$\sqrt{x-8}$ is undefined if the argument $x-8$ is negative, so you first need to require that

$x-8\ge0\implies x\ge8$

We're not done yet, though, because $\dfrac1{\sqrt{x-8}}$ still doesn't exist when $x=8$ , so we remove this from the domain and we're left with $x>8$ , or in interval notation, $(8,\infty)$

To find the range, consider the limits of the function as you approach either endpoint of the domain.

$\displaystyle\lim_{x\to8^+}\frac1{\sqrt{x-8}}=+\infty$
$\displaystyle\lim_{x\to\infty}\frac1{\sqrt{x-8}}=0$

Since $\dfrac1{\sqrt{x-8}}$ is positive everywhere, the range is $(0,\infty)$

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2 years ago

A small radio transmitter broadcasts in a 29 mile radius. If you drive along a straight line from a city 32 miles north of the t

hram777 [196]

Answer: He will pick up a signal from the transmitter 29.43 miles of the drive.

Step-by-step explanation:

Since we have given that

Radius = 29 mile

So, equation of circle would be

$x^2+y^2=29^2=841$

There is a straight line from a city 32 miles north i.e. (0,32) to a second city 40 miles east of the transmitter i.e. (40,0)

So, equation of line would be

$y-32=\dfrac{0-32}{40-0}(x-0)\\\\y-32=\dfrac{-32}{40}x\\\\y-32=-0.8x\\\\y+0.8x=32\\\\y=32-0.8x$

So, we will put this value in the equation of circle.

$x^2+(32-0.8x)^2=841\\\\x^2+1024+0.64x^2-51.2x=841\\\\1.64x^2-51.2x=841-1024\\\\1.64x^2-51.2x=-183\\\\1.64x^2-51.2x+183=0$

So, x= 4.12 and x = 27.1

So, y = 28.7, y = 10.32

So, distance between them would be

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\=\sqrt{(27.1-4.12)^2+(28.7-10.32)^2}\\\\=29.43$

Hence, he will pick up a signal from the transmitter 29.43 miles of the drive.

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2 years ago

Solve the equation.<br> 6n = 42<br> n =

Mila [183]

Answer:

Step-by-step explanation:

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3 years ago

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