Answer:
yes
Step-by-step explanation:
each input is put with only one output therefore it is a function
= 9n + 63
generate the first few terms using the recursive equation
f(1) = 72
f(2) = 72 + 9 = 81
f(3) = 81 + 9 = 90
f(4) = 90 + 9 = 99
the sequence is 72, 81, 90, 99, .....
This is an arithmetic sequence whose n th term formula is
=
+ (n - 1 )d
where
is the first term and d the common difference
d = 99 - 90 = 90 - 81 = 81 - 72 = 9 and
= 72
= 72 + 9(n - 1) = 72 + 9n - 9 = 9n + 63 ← explicit formula
Answer:
Supplementary angles; 148°
Step-by-step explanation:
180° - 32° = 148° (supplementary angles)
Answer:
2x² - 14x + 24
Step-by-step explanation:
Use the FOIL method (First, Outside, Inside, Last).
First, multiply the first term of both parenthesis:
2x * x = 2x²
Next, multiply the outside terms of both parenthesis:
2x * -4 = -8x
Then, multiply the inside terms of both parenthesis:
-6 * x = -6x
Finally, multiply the last terms of both parenthesis:
-6 * -4 = 24
Combine like terms:
2x² - 8x - 6x + 24
2x² (-8x - 6x) + 24
2x² (-14x) + 24
2x² - 14x + 24 is your answer.
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