Question
Which ordered pair is not a solution of f(x) = 2x + 9?
(0, 9)
(2, 13)
(7, 23)
(3, 14)
(0, 9)
(2, 13)
(7, 23)
(3, 14)
Answers
GPT-4o mini
To determine which ordered pair is not a solution of the equation \( f(x) = 2x + 9 \), we will substitute the \( x \) value of each ordered pair into the function and see if the resulting \( f(x) \) matches the \( y \) value from the ordered pair.
1. For the ordered pair \( (0, 9) \):
\[
f(0) = 2(0) + 9 = 0 + 9 = 9
\]
The ordered pair \( (0, 9) \) is a solution.
2. For the ordered pair \( (2, 13) \):
\[
f(2) = 2(2) + 9 = 4 + 9 = 13
\]
The ordered pair \( (2, 13) \) is a solution.
3. For the ordered pair \( (7, 23) \):
\[
f(7) = 2(7) + 9 = 14 + 9 = 23
\]
The ordered pair \( (7, 23) \) is a solution.
4. For the ordered pair \( (3, 14) \):
\[
f(3) = 2(3) + 9 = 6 + 9 = 15
\]
The \( y \) value is 15, which does not match the \( y \) value of 14 in the ordered pair \( (3, 14) \).
Therefore, the ordered pair that is not a solution of \( f(x) = 2x + 9 \) is \( (3, 14) \).
1. For the ordered pair \( (0, 9) \):
\[
f(0) = 2(0) + 9 = 0 + 9 = 9
\]
The ordered pair \( (0, 9) \) is a solution.
2. For the ordered pair \( (2, 13) \):
\[
f(2) = 2(2) + 9 = 4 + 9 = 13
\]
The ordered pair \( (2, 13) \) is a solution.
3. For the ordered pair \( (7, 23) \):
\[
f(7) = 2(7) + 9 = 14 + 9 = 23
\]
The ordered pair \( (7, 23) \) is a solution.
4. For the ordered pair \( (3, 14) \):
\[
f(3) = 2(3) + 9 = 6 + 9 = 15
\]
The \( y \) value is 15, which does not match the \( y \) value of 14 in the ordered pair \( (3, 14) \).
Therefore, the ordered pair that is not a solution of \( f(x) = 2x + 9 \) is \( (3, 14) \).