Step-by-step explanation:
2(5+7)-1=(5+2)+(5+3)
10+14-1=7+8
23=15
23-15=0
8
You have to simplify each equation. You can do that by adding similar values to each other:
(the first equation)
8x²y + 7x² - 5y² + 3x - 2 + 2x²y - x² - 2y² + 3x - 4
To make it easier, arrange the values around so that similar ones are beside each other:
8x²y + 2x²y + 7x² - x² - 5y² - 2y² + 3x + 3x - 2 - 4
then add the similar values together:
8x²y + 2x²y = 10x²y
7x² - x² = 6x²
- 5y² - 2y² = -7y²
3x + 3x = 6x
(- 2)+ (- 4) = -6
and if you put them together:
10x²y + 6x² - 7y² + 6x - 6
This isn't the answer to the equation, because it's different. So repeat the process with all the other equations until you find one that is identical to the simplified version.
The answer is the second one: 8x²y + 7x² - 5y² + 3x - 2 + 2x²y - x² - 2y² - 3x - 4
Although x ² and x both have the variable x, you can’t add them together. So x + x + x + x is 4x and we just leave x ² the same. So the simplified expression is x ² + 4x. I hope this helped!!
Answer:
Step-by-step explanation:
The explicit formula for the n-th term of an arithmetic sequence is ...
an = a1 + d(n -1)
where a1 is the first term and d is the common difference.
The sequence of seat counts has a1=5 and d=10, so the explicit formula is ...
an = 5 +10(n -1)
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The 7th term is ...
a7 = 5 +10(7 -1) = 65
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