Answer:
Do it on standard form
Step-by-step explanation:
Doing it by standard form ensures simplifying
Answer: There are 9 different types of note cards that the store sells.
We can use the Fundamental Counting Principle to determine the total number of options.
There are two different events in this problem. First, there are 3 kinds of cards. Second, there are 3 sizes for each kind.
Simply, multiply the 3 by the other 3 and you have 9 different options.
Just think, each card would have a small, medium and larger option. So there are 3 groups of 3 or 9 total options.
32 players = 16 matches ( 32/2)
16 players = 8 matches ( 16/2)
8 players = 4 matches (8/2)
4 players = 2 matches ( 4/2)
2 players = 1 match
16 + 8 +4 +2 +1 = 31 matches
Answer:
27,9
Step-by-step explanation:
x + y =36
x - y = 16
27 + 9 = 36
27 - 9 = 16
<h3>
Answer: B) no solutions</h3>
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Explanation:
Let's isolate the variable y in the first equation
-2x - y = 1
-2x = 1 + y
1+y = -2x
y = -2x-1
Then we'll plug this into the second equation
-4x - 2y = -1
-4x - 2(-2x-1) = -1
-4x + 4x + 2 = -1
0x + 2 = -1
0 + 2 = -1
2 = -1
We run into a contradiction. No matter what x value we pick, the last equation will never be true. This leads to a domino effect to cause the first set of original equations to never be true when considered as a system.
Therefore, this system is inconsistent. There are no solutions. These two lines graph out parallel lines that never intersect.
