All categories

3 years ago

Help asap please!

2 answers:

6 0

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.

Gnoma [55]3 years ago

4 0

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

You might be interested in

For questions 2 z 3. simplify each polynomial 2. 3x²+6-2x+5x-4x²+9 3. 2x²+6x-7x+8-3x²+1

Mars2501 [29]

Answer:

2. $-x^{2} +3x+15$

3. $-x^{2} -x+9$

Step-by-step explanation:

We add like terms together to simplify

2. 3x²-4x²= -x² -2x+5x= 3x 6+9= 15 all equal to -x²+3x+15

3. 2x²-3x²= -x² 6x-7x= -x 8+1=9 all equal to -x²-x+9

7 0

2 years ago

A survey of Mr. Thorne’s class shows that 5 out of 8 students will buy lunch today. Based on this result, how many of the 720 st

Ipatiy [6.2K]

450

5:8.
X:720

8x90=720 so multiply 5x90

450

7 0

2 years ago

How do you write y=25x-56 in standard form?

Tcecarenko [31]

To put a slope-intercept into standard form, you have to first cancel out the fractions. So:
$y = \frac{2}{5}x - \frac{5}{6}$

Turns into:
$(5)(6)y = (\frac{2}{5}x - \frac{5}{6})(5)(6)$

Simplify:
$30y = (\frac{2}{5}x - \frac{5}{6})(30)$

Distribute:
$30y = 12x- 25$

Since you want to get x and y on the same side, you subtract 12x from both sides to get:
$-12x+30y = -25$

So, your answer is C. Hope this all made sense! If it doesn't you know where to get a hold of me, so just dm me. Or if you more problems.

6 0

3 years ago

For this linear equation, give the number by which you would multiply the terms in each equation in order to eliminate one of th

Leya [2.2K]

Answer:

Step-by-step explanation:

The solution to this system of linear equations 3x – 2y = 14 and 5x + y = 32 is (x, y) is (6, 2).

6 0

3 years ago

Read 2 more answers

Hey guys i need help finding m<1 PLEASE HELPPP

valentinak56 [21]

Step-by-step explanation:

You see the 90 degree angle marking at the top left so that angle is 90 degrees. However, it is bisected into two so both sections of that 90 degree angle equal 45. One triangle is equal to 180 degrees, so the triangle at the tops' missing angle is 52. I don't know if you heard of vertical angles but that angle opposite 83, because it is a vertical angle, is also 83 degrees. This is as far as I've gotten. Not sure how to solve the rest without more information

8 0

3 years ago