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Svetlanka [38]
3 years ago
13

Select all expressions equivalent to 6x-24. O 6(x-4) O 2(3x – 24) 03(2x-8) O3(3x – 21)​

Mathematics
1 answer:
zysi [14]3 years ago
6 0

Answer:

The first one and the third one

Step-by-step explanation:

6(x - 4) is 6*x - 6*4 (distributive property) = 6x-24

2(3x - 24) is 2*3x - 2 * 24 = 6x - 48 ≠ 6x - 24

3(2x - 8) is 3*2x - 3*8 = 6x - 24

3(3x - 21) is 3*3x - 3*21 = 9x - 63 ≠ 6x - 24

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Expand (2x -3y)^5 using the given formula.
horrorfan [7]
(2x-3y)^5

(2x-3y)(2x-3y)(2x-3y)(2x-3y)(2x-3y)

1st and 2nd power :
(2x-3y)(2x-3y) = 2x(2x-3y)-3y(2x-3y) = 4x² - 6xy - 6xy + 9y²
= 4x² - 12xy + 9y²

3rd power:
(2x-3y)(4x² - 12xy + 9y²) = 2x(4x² - 12xy + 9y²) - 3y(4x² - 12xy + 9y²)
8x³ - 24x²y + 18xy² - 12x²y +36xy² - 27y³
8x³ - 24x²y - 12x²y + 18xy² + 36xy² - 27y³
8x³ - 36x²y + 54xy² - 27y³

4th power
(2x-3y)(8x³ - 36x²y + 54xy² - 27y³) = 2x(8x³ - 36x²y + 54xy² - 27y³) -3y(8x³ - 36x²y + 54xy² - 27y³) = 16x^4 - 72x³y + 108x²y² - 54xy³ - 24x³y + 108x²y² - 162xy³ + 81y^4
16x^4 - 72x³y - 24x³y + 108x²y² + 108x²y² - 54xy³ - 162xy³ + 81y^4
16x^4 - 96x³y + 216x²y² - 216xy³ + 81y^4

5th power
(2x-3y)(<span>16x^4 - 96x³y + 216x²y² - 216xy³ + 81y^4)
2x(</span>16x^4 - 96x³y + 216x²y² - 216xy³ + 81y^4) - 3y(<span>16x^4 - 96x³y + 216x²y² - 216xy³ + 81y^4)
= 32x^5 - 192x^4y + 432x</span>³y² - 432x²y³ + 162xy^4 - 48x^4y + 288x³y² - 648x²y³ + 648xy^4 - 243y^5

32x^5 - 192x^4y -48x^4y + 432x³y² + 288x³y² - 432x²y³ - 648x²y³ + 162xy^4 + 648xy^4 - 243y^5

32x^5 - 240x^4y + 720x³y² - 1,080x²y³ + 810xy^4 - 243y^5
3 0
4 years ago
Devon is paving a rectangular driveway. The driveway is 25.3 meters long and 18.4 meters wide. The formula for the area of a rec
Firdavs [7]
Area of the driveway is 465.52m2
5 0
3 years ago
Mia was getting ready to go back to school. She purchased 7 pens and a binder that cost $1.25. She spent a total of $7.90. How m
Lubov Fominskaja [6]

Answer:

$0.95

Step-by-step explanation:

total cost of 7 pens = total amount spent - cost of binder

$7.90 - $1.25 = $6.65

cost of each pen = total cost of 7 pens / 7

$6.65 / 7 = $0.95

3 0
3 years ago
Yolanda is going to watch a movie in her collection. She has 3 action movies, 4 comedies, and 5 dramas.
andre [41]

Answer:

Step-by-step explanation:

Probability=(number of specific outcomes)/(total number of outcomes)

Since there are 4 comedies and 3+4+5=12 total movies

P(C)=4/12=1/3

5 0
3 years ago
Read 2 more answers
Can someone help me and write the sum or difference in simplest form
hichkok12 [17]

Hey there! Thanks for asking your question here on Brainly!

First, we'll need to get common denominators in each of the two fractions. This can be done by multiplying 1/2 by 5/5 and 1/5 by 1/2.


1/2 x 5/5 = 5/10

1/5 x 1/2 = 1/10


Next, since we now have common denominators, we can simply add the numerators of the fractions together. When adding or subtracting fractions, we have to get common denominators, then add the numerators together. In the final answer, the denominators will remain the same and will not be added together as we would do with the numerators.


5/10 + 1/10 = 6/10


Lastly, we'll need to simplify the fraction. Both the numerator and denominator can be divided by two.


(6/10) / 2 = 3/5


Our final answer is 3/5!


Hope this helps!! :)

5 0
3 years ago
Read 2 more answers
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