Is N² + N always an even number? Explain
1 answer:
Answer:
Yes
Step-by-step explanation:
Yes.
Let's first start with even numbers. (N - even number)
Any even number squared, is an even number. Then, we add that squared even number to another even number which would give us an even number.
Now, let's see odd numbers.
Any odd number squared would be an odd number. When you add "N", it would be adding an odd number to an odd number, which gives you an even number.
OR
We can start by factoring the expression:
This is essentially multiplying two consecutive numbers, which in turn means that one number has to be even, and one has to be odd. An odd number multiplied by an even number will always be even.
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Answer:
=
Step-by-step explanation:
In this case in order to simplify we need to know what the "power rule of exponents" is. Simply speaking this rule states that when you raise a power to a power you multiply the exponents. So in our case we ill get the following
=
In order to get 42 we used the power rule which I mentioned earlier.
Answer:
1. 26:5 or
or
5.2 as a decimal
2. 21:26 or
or
0.81 as a decimal
3. 21:5 or
or
4.2 as a decimal
4. 5:21 or
or
0.24 as a decimal
Step-by-step explanation:
A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.
To write a ratio, we count the number of each quantity we are comparing. A part to whole ratio for letters and vowels would be the part compared to the whole. For example, there are 21 consonants to 26 letters in the alphabet. We write 21:26 or or 0.81. We can also compare the number of vowels which is 5:26 or
A part to part ration compares a part to a part like the number of consonants is 21 with the number of vowels is 5. We write the ratio as consonants : vowels.
21:5 or
or
4.2 as a decimal.
We can reverse and write vowels : consonants.
5:21 or
or
0.24 as a decimal.