Answer:
g(n) = - 19 + (n - 1)*6
Step-by-step explanation:
The way to do this is to try a couple and then see if you can make some sort of equation that follows the rule.
g(1) = - 19
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g(2) = g(2 - 1) + 6
g(2) = g(1) + 6
g(2) = -19 + 6
g(2) = -13
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g(3) = g(2) + 6
g(3) = -13 + 6
g(3) = - 7
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g(4) = g(3) + 6
g(4) = - 7 + 6
g(4) = - 1
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g(5) = 5
g(6) =11
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Now the hard part. You have to start with - 19
The nth term is g(n) = - 19 + (n - 1)*6
Now see if it works.
g(7) = - 19 + (7 - 1)*6
g(7) = - 19 + 6 * 6
g(7) = -19 + 36
g(7) = 17
Is that correct?
g(7) = g(n - 1) + 6
g(7) = g(6) + 6
g(7) = 11 + 6
g(7) = 17 Seems to be the same as the explicit formula gives.
Use the ticket price in the first column in the formula 400-7p to get the answer for the second column (number of tickets sold)
Then multiple the number to f tickets in the second column by the price in the first to determine the revenue.
Answer:
"They add up to 180 degrees, because they are a pair of supplementary angles"
Step-by-step explanation:
When parallel lines are cut by transversal, it creates vertical angles (opposite of each other) that are equal AND also supplementary angles (that are adjacent to each other and fall in one line). They add up to 180 degrees.
Looking at the figure, we see angle 1 and 2 fall in one line which is 180 degrees. Thus, angles 1 and 2 are supplementary, they add up to 180 degrees.
The correct choice is "They add up to 180 degrees, because they are a pair of supplementary angles"