Answer:
<h2> (-1,1)</h2>
Step-by-step explanation:
Given system is
If we graph, the solution would be the interception point between these two lines, because each linear equation represents a line. The lines are attached.
In the graph, you can observe that the solution is the point (-1,1), that is x = -1 and y = 1.
Now, if we want to solve this system by another method, we can just sum both equations and solve for <em>x</em>
Then, we replace this value in one equation to find the other value
Therefore, the solution is (-1,1)
Answer:
31 as it has only 2 factors which is 1 and 31
Multiply the 37 and 23 for 851 plus the triangles must be above it so its 1035 in squared
<h3>
Answer: 31 games</h3>
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Explanation:
- 32/2 = 16 games will happen in round 1. Afterward, 16 teams are left.
- 16/2 = 8 games will happen in round 2. Afterward, 8 teams are left.
- 8/2 = 4 games happen in round 3.
- 4/2 = 2 games in round 4.
- 2/2 = 1 game as the final championship.
Count the number of times you divide by two and we have five occurrences of this. So there five rounds overall.
To get the total number of games played, we add up the quotients
16+8+4+2+1 = 31
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Or as a shortcut we can simply subtract off 1 since 1+2+4+...+2^n = 2^(n+1)-1
We can write that rule as
which is equivalent to
