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Amiraneli [1.4K]
4 years ago
13

What is the domain of the function shown in the table?

Mathematics
1 answer:
stira [4]4 years ago
7 0

Answer:

{-2,-1,0}

Step-by-step explanation:

The domain of a function is defined as the set of x values for which the function is real and defined. The x values represent independent or predictor variable.

The domain of the function is thus;

{-2,-1,0}

These are basically the x values of the function

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Answer:

A.

Step-by-step explanation:

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DochEvi [55]

to be honest I agree that would be 6s

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A vacant city lot is being turned into a neighborhood garden. The neighbors want to fence in a triangular section of the lot and
Dennis_Churaev [7]

Step-by-step explanation:

=>>. Hello mate. (◕ᴗ◕✿)

= Given :-

perimeter of traingle = <u>5</u><u>8</u><u> </u>feet

  • <u> </u><u>let </u><u>the </u><u>third</u><u> </u><u>side </u><u>be</u><u>. </u><u> </u><u> </u><u> </u><u>"</u><u>X"</u><u> </u><u>feet</u>

  • <u> </u><u> </u><u> </u><u> </u><u> </u><u>longest</u><u> </u><u>side </u><u>=</u><u> </u><u>(</u><u>2</u><u>x</u><u> </u><u>-</u><u> </u><u>8</u><u>)</u><u> </u><u>feet</u>

  • <u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>shorter</u><u> </u><u>side </u><u>=</u><u> </u><u>(</u><u>x </u><u>+</u><u> </u><u>2</u><u>)</u><u> </u>feet

Perimeter of traingle = sum of all three sides

=> A/q. ,

<u>(</u><u> </u><u>x </u><u>)</u><u> </u><u>+</u><u> </u><u>(</u><u> </u><u>2</u><u>x</u><u> </u><u>-</u><u> </u><u>8</u><u> </u><u>)</u><u> </u><u>+</u><u> </u><u>(</u><u> </u><u>x </u><u>+</u><u> </u><u>2</u><u>)</u><u> </u><u>=</u><u> </u><u>5</u><u>8</u><u>. </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>✓</u><u>✓</u><u>✓</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>x + 2x - 8 + x + 2 = 58

=>. <u>4</u><u>x</u><u> </u><u>-</u><u> </u><u>6</u><u> </u><u>=</u><u> </u><u>5</u><u>8</u>

=> 4x = 58 + 6

=> 4x = 64

<u>=</u><u>></u><u>. </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>x </u><u>=</u><u> </u><u>6</u><u>4</u><u>/</u><u>4</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>=</u><u>|</u><u>. </u><u> </u><u> </u><u> </u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>6</u><u> </u>feet

  • length of third side = 16 feet

  • length of shorter side = 18 feet

  • length of longest side = 24 feet

<u> </u><u> </u><u> </u><em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u> you</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol
Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is \frac{7}{10}

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is \frac{343}{1,000}

Part c) The volume of the smaller pyramid is 4,116\ m^{3}

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

so

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid  

z=\frac{x}{y}

substitute the values

z=\frac{21}{30}

Simplify

z=\frac{7}{10} -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

substitute

\frac{7}{10}^{3}=\frac{x}{y}

Rewrite

\frac{x}{y}=\frac{343}{1,000} -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

y=12,000\ m^{3}

substitute the values and solve for x

(\frac{7}{10})^{3}=\frac{x}{12,000}

x=\frac{343}{1,000}(12,000)=4,116\ m^{3}

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3 years ago
HELP ON HOMEWORK PLS
Akimi4 [234]

Answer:

∠LPN = 57°

Step-by-step explanation:

arc LMN = 360° - 102° - 144° = 114°

∠LPN = 114°/2 = 57°

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