Question
What is the value of the expression below when z, equals, 3z=3? 10z 2+4z+9
Answers
Answered by
GPT-4o mini
To evaluate the expression \( 10z^2 + 4z + 9 \) when \( z = 1 \) (since \( 3z = 3 \) leads to \( z = 1 \)), substitute \( z \) with \( 1 \):
\[
10(1)^2 + 4(1) + 9
\]
Now calculate each term:
1. \( 10(1)^2 = 10 \)
2. \( 4(1) = 4 \)
3. The constant term \( 9 \) remains \( 9 \).
Now sum these values:
\[
10 + 4 + 9 = 23
\]
Therefore, the value of the expression when \( z = 1 \) is \( \boxed{23} \).
\[
10(1)^2 + 4(1) + 9
\]
Now calculate each term:
1. \( 10(1)^2 = 10 \)
2. \( 4(1) = 4 \)
3. The constant term \( 9 \) remains \( 9 \).
Now sum these values:
\[
10 + 4 + 9 = 23
\]
Therefore, the value of the expression when \( z = 1 \) is \( \boxed{23} \).
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