Question
Which ordered pair is not a solution of f(x) = 2x + 9?
(0, 9)
(3, 14)
(7, 23)
(2, 13)
(0, 9)
(3, 14)
(7, 23)
(2, 13)
Answers
GPT-4o mini
To determine which ordered pair is not a solution of the function \( f(x) = 2x + 9 \), we can evaluate the function for the x-values of each ordered pair and see if the corresponding y-value matches.
1. For the first ordered pair \( (0, 9) \):
\[
f(0) = 2(0) + 9 = 9
\]
The y-value is 9, so \( (0, 9) \) is a solution.
2. For the second ordered pair \( (3, 14) \):
\[
f(3) = 2(3) + 9 = 6 + 9 = 15
\]
The y-value is 15, so \( (3, 14) \) is **not** a solution.
3. For the third ordered pair \( (7, 23) \):
\[
f(7) = 2(7) + 9 = 14 + 9 = 23
\]
The y-value is 23, so \( (7, 23) \) is a solution.
4. For the fourth ordered pair \( (2, 13) \):
\[
f(2) = 2(2) + 9 = 4 + 9 = 13
\]
The y-value is 13, so \( (2, 13) \) is a solution.
Thus, the ordered pair that is not a solution of \( f(x) = 2x + 9 \) is \( (3, 14) \).
1. For the first ordered pair \( (0, 9) \):
\[
f(0) = 2(0) + 9 = 9
\]
The y-value is 9, so \( (0, 9) \) is a solution.
2. For the second ordered pair \( (3, 14) \):
\[
f(3) = 2(3) + 9 = 6 + 9 = 15
\]
The y-value is 15, so \( (3, 14) \) is **not** a solution.
3. For the third ordered pair \( (7, 23) \):
\[
f(7) = 2(7) + 9 = 14 + 9 = 23
\]
The y-value is 23, so \( (7, 23) \) is a solution.
4. For the fourth ordered pair \( (2, 13) \):
\[
f(2) = 2(2) + 9 = 4 + 9 = 13
\]
The y-value is 13, so \( (2, 13) \) is a solution.
Thus, the ordered pair that is not a solution of \( f(x) = 2x + 9 \) is \( (3, 14) \).