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Answer:
1 .4x2-9= 2x+3,2x-3
2 .16x2-1=4x-1,4x+1
3 .16x2-4=4(2x+1)(2x-1)
4 .4x2-1=(2x+1)(2x-1)
Step-by-step explanation:
16x² − 1 = (4x − 1)(4x + 1) ; 16x² − 4 = 4(2x + 1)(2x − 1); 4x² − 1 = (2x + 1)(2x − 1) ;
4x² − 9 = (2x + 3)(2x − 3)
16x² − 1 is the difference of squares. This is because 16x² is a perfect square, as is 1. To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.
The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).
16x² − 4 is also the difference of squares. The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2). However, we can also factor a 2 out of each of these binomials; this gives us
2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)
4x² − 1 is also the difference of squares. The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).
4x² − 9 is also the difference of squares. The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).
Answer: There is 48.14% of dogs are male .
Step-by-step explanation:
since we have given that
Total number of dogs = 37
Number of dogs that are female = 24
Number of dogs that are male is given by
We need to find the percentage of dogs are male:
So, Percentage of the dogs are male is given by
Hence, there is 48.14% of dogs are male .
Answer:
Part A: (0.25+0.30+0.75) - 0.20
Part B:
Step-by-step explanation:
The jar contains 0.25 of apple juice and 0.30 liter of grape juice. Then, another 0.75 litter is added. Melissa drank 0.20 of that, making the value lower (Hint: subtraction).
So we have to add 0.25, 0.30, and 0.75. Subtract it by 0.20. My equation would look like:
(0.25+0.30+0.75) - 0.20
The simplified equation will be:
1.3 - 0.20
= 1.1
I used the associative property to simplify the parenthesed part of the equation, and subtracted it by 1.1. Even though it has been simplified, the result has no changed and it is still the same value as it would have been in the previous equation.
Best of luck, and have a blessed day! For any question or comments, please say so!
Answer:
4,000
Step-by-step explanation:
You go to the thousand number and see if the hundred number is higher than 5, if not then its stays the same.