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Dominik [7]
3 years ago
14

Simplify the expression given below.

Mathematics
1 answer:
trasher [3.6K]3 years ago
5 0

Answer:

A) 1/(3x+1)

Step-by-step explanation:

(x+2)/(x³+2x²-9x-18)÷(3x+1)/(x²-9)

(x+2)/(x+2)(x+3)(x-3)÷(3x+1)/(x+3)(x-3)

since it’s dividing by a fraction, invert and multiply

(x+2)/(x+2)(x+3)(x-3) times (x+3)(x-3)/(3x+1)

The (x+2)’s cancel out.

The (x+3)’s cancel out.

The (x-3)’s cancel out.

You are left with 1/(3x+1)

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The greatest distance across the continental United States is about less than 5000km. To fit a map in an 8.5in by 11 in what sca
sladkih [1.3K]

Answer:

  1 in = 500 km

Step-by-step explanation:

It is nice to choose a scale that leaves a little border, so one could probably make it ...

  10 in = 5000 km

  1 in = 500 km

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If you'd rather have a "nice" ratio, you could use ...

  2.5 cm = 500 km   ⇒   1 : 20,000,000

_____

<em>Additional comment</em>

An inch is 2.54 cm, so using 2.5 cm for the same distance means the map is slightly smaller. It would end up about 9.8 inches wide, leaving a border of almost 0.6 inches on either side.

You might want a scale that makes it easy to draw using the tools you have. If your distances are in km, and you have an inch ruler, then the first choice might be better. If you have a centimeter ruler, then the second scale might work better for you.

The unitless scale is found by doing the division:

  \dfrac{2.5\times10^{-2}\text{ m}}{5.00\times10^5\text{ m}}=\dfrac{1}{2\times10^7}=\dfrac{1}{20,000,000}

4 0
2 years ago
A tank of water holding 528 kL of water begins to empty at a rate of 10 kL/min. At the same time, another tank, which is empty,
mylen [45]
<span>We just need to solve the system.
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k = 14t

14t=528-10t
24t=528
t=22 minutes

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Final answer: </span>It will take <span>22</span> minutes  for both tanks to hold equal amounts of water. They will each hold 308 kiloliters.
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4 years ago
The slope of the line whose equation is x = 6 is no slope 0 6
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X = 6. This is a vertical line. Therefore has no slope.  
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Answer:

14

increase

Step-by-step explanation:

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2 years ago
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To the nearest 10th
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The bold number is in the tenths column! 
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4 years ago
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