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Alenkinab [10]
3 years ago
12

Simplify 16x² - 9y²/(4x-3y)^2​

Mathematics
1 answer:
const2013 [10]3 years ago
4 0

9514 1404 393

Answer:

  (4x +3y)/(4x -3y)

Step-by-step explanation:

  \dfrac{16x^2-9y^2}{(4x -3y)^2}=\dfrac{(4x)^2-(3y)^2}{(4x-3y)^2}=\dfrac{(4x-3y)(4x+3y)}{(4x-3y)(4x-3y)}\\\\=\boxed{\dfrac{4x+3y}{4x-3y}}

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Bruce saved $35.00 to buy a new video game . The game's original price was $42.00, but it was on sale for 30% off. The sales tax
fenix001 [56]

Answer:

The answer to your question is Yes, he can buy it.

Step-by-step explanation:

Data

Money saved = $35

Original Price = $42

Discount = 30%

Tax = 5 %

Process

1.- Calculate the price of the Video game with the discount

                    $42 --------------------- 100%

                         x  ---------------------   30%

                         x = (30 x 42) / 100

                         x = $ 12.6

   Price with discount = 42 - 12.6

                                    = $ 29.4

2.- Calculate the price of the Video game plus taxes

                      $29.4 ------------------- 100%

                          x      -------------------    5%

                          x = (5 x 29.4) / 100

                          x = 147 / 100

                          x = 1.47

    Price plus taxes = 29.4 + 1.47

                                = $ 30.87

3.- Conclusion

Bruce can buy the Video game because he saved $35 and the video game plus taxes cost $30.87.  

8 0
3 years ago
Select all situations where a binomial distribution is a reasonable probability model for the random variable X.
Ede4ka [16]
A binomial distribution can only be used when there are 2 possible outcomes, no more, no less. 

Looking at the situations given you are able to use a binomial distribution in 2 cases.

First is the quarter being flipped 3 times. There are only two possibilities (Heads or Tails). 

Second is the 3 marbles being pulled out of the bag. There are only two types of marbles (Green and Blue).
5 0
4 years ago
Read 2 more answers
-2x - 4 (-6x + 14) = 76<br><br> What is X?
konstantin123 [22]
Hello,
First, we distribute the -4 to -6x + 14 to get a resulting expression of 24x - 56. Now, our total equation is -2x + 24x - 56 = 76. Next, we combine like terms on the left side of the equation, and that results in 22x - 56 = 76. Now, we add 56 to both sides to get 22x = 132. Finally, we divide both sides by 22 to get x = 6. Therefore, the value of x is 6. Hope this helps and have a great day!
5 0
3 years ago
Can someone help its math :)
belka [17]

Answer:

m<F = 53

Step-by-step explanation:

Exterior angles thm:

5x - 10 + 3x + 14 = 100

8x + 4 = 100

8x = 104

x = 13

m<F:

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3(13) + 14

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3 years ago
Juanita a talented artist. She makes and sells t-shirts showing her art work.
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Answer:

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Step-by-step explanation:

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