Hey there! How are you today?
First, when dealing with the Distributive Property, we always need to pay attention to what number/variable we are multiplying by.
The concept of the Distributive Property is to look at the number/variable outside of the parenthesis and then multiply it by all numbers/variables inside of the parenthesis individually, and then sum those products up.
If you're having trouble grasping this concept, here's an example:
Ex:
2(1 + 3)
Multiply the number outside of the parenthesis (2) by all numbers inside of the parenthesis (1 and 3) individually.
2*(1) + 2*(3)
Simplify the multiplication process.
2 + 6
Sum up our products.
8.
8 is our answer for this example.
Now that we've explained and practiced what we are working on, let's apply this concept to the real problem.
7(2x^2 + 9x - 3)
Multiply the number outside of the parenthesis (7) by all numbers/variables inside of the parenthesis (2x^2, 9x, and -3).
7(2x^2) + 7(9x) + 7(-3)
Simplify the first multiplication parenthesis.
7*2x^2 = 14x^2
Simplify the second multiplication parenthesis.
7*9x = 21x
Simplify the third and final multiplication parenthesis.
7*(-3) = -21 (When you multiply a positive by a negative, your product is negative).
Now, let's write down our final products as a whole answer. Remember to start from the highest exponent.
14x^2 + 21x - 21 is your final expression.
I hope this helps! Let me know if you have any questions or concerns down in the comment box below this answer, and I'll get back to you when I can.
Answer:
(60 x 25) - 25 = 1475
Step-by-step explanation:
I found the table that contains the following data:
25 times:
Column No. 1 2 3 4 5 Total
New York 3 2 2 1 2 10
Connecticut 1 1 1 2 0 5
Pennsylvania 1 1 1 1 1 5
Rhode Island 0 1 1 1 2 5
New York: 10/25 or 2/5
Connecticut: 5/25 or 1/5
Pennsylvania: 5/25 or 1/5
Rhode Island: 5/25 or 1/5
300 times * 2/5 = 120 times for New York
The best estimate of the number of times Amber would pull out a New York quarter is 120.
1) According to the table represented above, the number of games that can be played when 7 players are in the tournament is definitely 21 games. As you can see, in the last row there are 4 players to 5,which means that we have 4 new games. The same happens if we go from 3 players to 4, and finelly we have 3.
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2) And what about the </span>recursive rule for the original sequence, the approrpiate one is <span>an = an-1 + n - 1, so the answer is lying in the second option from the scale.
</span>According to the fact that the number of games is actually the sum of integers from 1 to n-1 we expect to have n number of players.
<span>I am sure it's clear now!
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