Simplify 9y+2y-5y please answer
2 answers:
Answer:
Step-by-step explanation:
So we have the expression:
To simplify, simply combine the like terms. Therefore:
Further notes:
To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:
Now, factor out a y from the three terms:
Do all the operations inside the parenthesis:
And we moved the y back to the front!
This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!
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Answer: 16 007 560 800 possible letter combinations.
Explanation: Now, we don't care about the order in which they are picked, so it's a little bit different to how permutation probability and combinations work.
Since we don't care about order, these two are identical:
123a
12a3
They have the same letters in their sequence, so they won't form a new word.
Now, let's understand how combinatorics work compared to permutations.
Combinatorics work out a list of combinations that you can have, provided that they all have different values (123 is not the same as 234, they are different combinations), however permutations focus solely on ordered figures (123 may be the same as 321 in combinatorics, but they yield a new set in permutations).
Thus, if we don't care about order, let's write up a formula:
If we have 100 tiles to fill 100 places, we have 100! combinations, provided that they are all different letters.
But we only want to pick 7 and sort them out.
Thus, our equation is
This is our
formula, and it's important to remember this formula.
Explanation: Now, we don't care about the order in which they are picked, so it's a little bit different to how permutation probability and combinations work.
Since we don't care about order, these two are identical:
123a
12a3
They have the same letters in their sequence, so they won't form a new word.
Now, let's understand how combinatorics work compared to permutations.
Combinatorics work out a list of combinations that you can have, provided that they all have different values (123 is not the same as 234, they are different combinations), however permutations focus solely on ordered figures (123 may be the same as 321 in combinatorics, but they yield a new set in permutations).
Thus, if we don't care about order, let's write up a formula:
If we have 100 tiles to fill 100 places, we have 100! combinations, provided that they are all different letters.
But we only want to pick 7 and sort them out.
Thus, our equation is
This is our