Please help me with this question

N is a positive integer. Explain why n(n-1) must be an even number.

Mandarinka [93]

Let me assign n a number: 3 an easy value we can work with. If we substitute it into the equation we get:

3 * (3-1). According to BIDMAS/BODMAS, we must first work out the brackets and then multiple it by the 3.

Do 3-1 = 2, 2*3 = 6 which is an even number. If we try with an even number we also get an even number:

4-1 = 3, 3*4 = 12. Even if we try this with a number like 7, 9 or 10 - we will always get an even integer, this is because, whenever we multiple an even number with an even or odd number - we always get an even number. So when we take away 1 by an even number, and multiple it with an odd number, we get even. Same applies to when we take away an odd number by 1 to get an even number and then times it by an odd number - we always get even.

4 0

3 years ago

I NEED IT ASAP How do the signs of the coordinates affect the position of a point in the coordinate plane

erik [133]

Answer:

Each point will plot to only one place in the coordinate plane. So, I don't know what you mean by plotting anywhere and you'll get the same result. You won't

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Use the chart to multiply the binomial by the trinomial.

sukhopar [10]

Answer: " -2y³ + 3y² + 27y " .
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Refer to the completed chart below (image attached).
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Using the completed chart below (image attached), we can write out the terms:
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y³ − 3y³ + 9y² + 3y² − 9y² + 27y ;

Then, we can combine the "like terms" ;
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y³ − 3y³ = -2y³ ;

+9y² + 3y² − 9y² = + 3y² ;
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to get: -2y³ + 3y² ; and bring down the "+27y" ;
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Answer: " -2y³ + 3y² + 27y " . Refer to chart below (image attached).
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