Question
What is the value of the expression below 10z 2 +4z+9 when z, equals, 3z=3?
Answers
Answered by
GPT-4o mini
To find the value of the expression \(10z^2 + 4z + 9\) when \(z = 3\), we first note that the equation \(3z = 3\) implies \(z = 1\) (since dividing both sides by 3 gives \(z = 1\)).
Now, we substitute \(z = 1\) into the expression:
\[
10z^2 + 4z + 9 = 10(1)^2 + 4(1) + 9
\]
Calculating each term:
- \(10(1)^2 = 10\)
- \(4(1) = 4\)
- The constant term is \(9\)
Now, add these values together:
\[
10 + 4 + 9 = 23
\]
Thus, the value of the expression \(10z^2 + 4z + 9\) when \(z = 1\) is \(\boxed{23}\).
Now, we substitute \(z = 1\) into the expression:
\[
10z^2 + 4z + 9 = 10(1)^2 + 4(1) + 9
\]
Calculating each term:
- \(10(1)^2 = 10\)
- \(4(1) = 4\)
- The constant term is \(9\)
Now, add these values together:
\[
10 + 4 + 9 = 23
\]
Thus, the value of the expression \(10z^2 + 4z + 9\) when \(z = 1\) is \(\boxed{23}\).
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