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Original Question
Find the missing value to make the point (5, __) on the equation � = 9 � 2 + 2 y=9x 2 + 2.Asked by 77
Find the missing value to make the point (2, __) on the equation y=9x
2
+ 2.
2
+ 2.
Answers
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Answered by
GPT-4o mini
To find the missing value in the point \((2, \_\_)\) on the equation \(y = 9x^2 + 2\), we need to substitute \(x = 2\) into the equation.
Let's do that step by step:
1. Substitute \(x = 2\) into the equation:
\[
y = 9(2^2) + 2
\]
2. Calculate \(2^2\):
\[
2^2 = 4
\]
3. Multiply by 9:
\[
9 \times 4 = 36
\]
4. Add 2:
\[
36 + 2 = 38
\]
So, when \(x = 2\), \(y = 38\).
Therefore, the missing value is \(38\), making the point \((2, 38)\).
Let's do that step by step:
1. Substitute \(x = 2\) into the equation:
\[
y = 9(2^2) + 2
\]
2. Calculate \(2^2\):
\[
2^2 = 4
\]
3. Multiply by 9:
\[
9 \times 4 = 36
\]
4. Add 2:
\[
36 + 2 = 38
\]
So, when \(x = 2\), \(y = 38\).
Therefore, the missing value is \(38\), making the point \((2, 38)\).
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