Help asap please!Add 4p^2+6 / 4p^2 + 2p-2 / 10p

Which statements are true about adding the rational expressions? Check all that apply

The least common denominator is 20p
.
The first fraction rewritten with the LCD is 20p^2+30 / 20p^2

The second fraction rewritten with the LCD is 4p - 4 / 20p

The sum is 24p^2-,4p+30 / 20p^2 = 12p-2p+15 / 10p^2

The sum is a rational expression.

Answers

Answer 1
Answer: I have to rewrite the expressions because they look very confusing.

1) The given fractions to add are:

  4p² + 6        2p - 2
------------ +  ------------
     4p²             10p²

2) The statements to asses are:

A) The least common denominator is 20p
.
B) The first fraction rewritten with the LCD is (20p² +30) / 20p²

C) The second fraction rewritten with the LCD is (4p - 4) / 20p

D) The sum is (24p² -4p +30 ) / 20p² = (12p-2p+15) / 10p^2

E) The sum is a rational expression.

This is the result for each statement.


A) The least common denominator is 20p

FALSE: THE LCD IS 20p², because it the least expression that contains all the prime factors of both denominators: 4p² and 10p.

See that you cannot divide 20p by 4p² but you can divide 20p² by 4p² and 10 p. So, 20p is not a common denominator.
.
B) The first fraction rewritten with the LCD is (20p² +30) / 20p²

TRUE: you get this expression from the first fraction by multiplying both numerator and denominator by  20p² / 4p² = 5:

(4p² + 6)×5 = 20p² + 30

(4p²)×5 = 20p²

=>

  20p² + 30
--------------
      20p²

C) The second fraction rewritten with the LCD is (4p - 4) / 20p

FALSE: you have to multiply both numerator an denominator by 20p² / 10p = 2p

(2p - 2) × 2p = 4p² - 4p

10p × 2p = 20p²

So, the second fraction rewritten with the LCD is:

 4p² - 4p
-----------
    20p²

D) The sum is (24p² - 4p +30 ) / 20p² = (12p-2p+15) / 10p²

TRUE


  20p² + 30        4p² - 4p         24p² - 4p + 30
-------------- +   --------------- = ----------------------
      20p²              20p²                    20p²


And when you simplify the last fraction dividing by 2 you get:

  12p² - 2p + 15
-----------------------
          10p²

E) The sum is a rational expression.

TRUE:

The sum of rational number has the closure property which means that by adding rational expression you will always ge a rational expression.

Answer 2
Answer: the 2nd, 4th, and 5th statements are correct.  Let me know if you have questions on how to do the problem..

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Answers

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Answers

Answer:

20√2 cm

Step-by-step explanation:

The diagonal of a square forms a right triangle with it's 2 sides.

Going step by step, lets refer to the side of a square as x.

Our triangle will have 2 legs of x and a diagonal of 10. We can either use the 45:45:90 method or use Pythagorean. The 45:45:90 method is more simpler so I will show the step by step method through Pythagorean, which the 45:45:90 method is derived from anyways.

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Hope this helps :)

Exit Ticket: 1-4 WavesIn the following diagram the waves move from left to right and then stop. The motion of the wave will continue down the
rope after 2 seconds. Type in your answers.
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Time (sec): 2
a) What is the amplitude of the waves? 5 pts
b) What is the wavelength of the waves? 5 pts
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Answers

Answer:

a) 0.4m

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c)2

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Step-by-step explanation:

a) The amplitude of the wave is the highest vertical displacement

with respect to this question, this is 0.4m

b) The wavelength of the wave is simply the distance between two crest or troughs

In this question, this is 2m

c) The number of waves generated is 2

d) Frequency of the waves is the number of waves generated per second

if 2 waves are generated in 2 seconds

The number of waves in a second is 2/2 = 1

So the frequency is 1 s^-1

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Answers

Answer:

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Step-by-step explanation:

5/2 divided by 3/4 = 3 1/3

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Answers

It's just m minus 4
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Answers

To see what model best represents this data we have to plug in the values for x and y:
Model D :
x = 2, y = 1.959
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....   ...
x = 82,  y = 15.817
y = 0.000873 · 82³ - 0.00989 · 82² + 0.403 · 82 + 1.192 = 15.818
Answer:
D ) y = 0.0000872 x²- 0.00989 x² + 0.403 x + 1.192