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slamgirl [31]
2 years ago
8

I need to know how to solve these using the box method

Mathematics
1 answer:
Basile [38]2 years ago
5 0

Answer:

5. (2x-3)(3x+2)

6.(x-8)(2x-5)

7.(5x-2)(2x+1)

8.(4x+3)(x+3)

Step-by-step explanation:

example on how to solve this in not how you solve your questions

2x times x = 2x2

2x times 2 = 4x

5 times x = 5x

5 times 2 = 10

The factors are (2x + 5)  and (x + 2), so 2x2 + 9x + 10 = (2x + 5) ×  (x + 2)

4x and 5x are interchangeable, so you could put 5x in the first row and 4x in the second row and still get the same answer.

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Step-by-step explanation:

We are picking 6 numbers from the numbers 1,2,3,4,5,6,7,8,9,10. Since we care about numbers being next to each other, we might think of the 10 numbers as being distributed in 5 boxes (which you can think of as the holes):

|   1 2   |   3 4   |   5 6   |   7 8   |   9 10  |

So on the first box we have the numbers 1 and 2, on the second box we have the numbers 3 and 4, and so on. Since we are picking 6 numbers from those 10 numbers, that means we'll have to pick 6 boxes (and inside each box we pick a number), but we only have 5 available boxes, so by the pigeonhole principle, we'll have to pick 1 same box at least two times. Since on each picked box we'll need to pick a number, on this box which was picked two times, we will have to pick both of its numbers. And so those 2 numbers inside that box will be next to each other (meaning they're consecutive numbers).

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4 years ago
What is the volume of the following triangular prism?
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7 0
3 years ago
Ben is three times as old as Kate. Kate is 6 years older than Jill. Jill is J years old. What is the combined age of the three p
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Step-by-step explanation:

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Answer:

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3 years ago
Read 2 more answers
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