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xxTIMURxx [149]
3 years ago
12

For any integer x,x2-x will always produce an even value

Mathematics
1 answer:
Levart [38]3 years ago
8 0

Consider expression x^2-x. First, you can factor it:

x^2-x=x(x-1).

Since x is integer number, then you can see that x-1 is previous integer number (x-1 is 1 unit smaller than x).

Therefore, x-1 and x are two consecutive integers. When you have two consecutive integers, one of them is always even and one is always odd. Multiplying even integer number by odd integer number you always get even integer number.

Thus, x^2-x is always even.

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If Colorado Springs, Colorado, has 1.4 times more days of sunshine than Boston, Massachusetts, how many days of sunshine does ea
Rom4ik [11]
Days in boston=x
days in colorado=1.4x
boston+colorado=2.4x
475=2.4x
475/2.4=2.4x/2.4
198=x
198*1.4=277
days in boston=198
days in colorado=277
198+277=475


5 0
3 years ago
What is the slope of the line through the points (-2, -1) and (8, -3)
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Answer:

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5 0
2 years ago
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Step-by-step explanation:

x^2 + 10x = -25

x^2 + 10x + 25 = 0

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2 years ago
What is a detailed example of simple interest?
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Tomas makes a balloon sculptures at a circus. In 180 minutes, he uses 253 balloons to make 36 identical balloon sculptures.
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