Find the value of `(8g^(2))/(3) - 2g + 7 " when " g = 3`

Options

A. 9
B. 25
C. 17
D. 26

Answer

To find the value of the expression \(\frac{8g^2}{3} - 2g + 7\) when \(g = 3\), we will substitute \(g\) with \(3\) and simplify step by step.

### Step-by-Step Solution:

1. **Substitute \(g\) with \(3\)**:
\[ \frac{8(3)^2}{3} - 2(3) + 7 \]

2. **Calculate \(3^2\)**:
\[ 3^2 = 9 \]
So the expression becomes:
\[ \frac{8 \cdot 9}{3} - 2(3) + 7 \]

3. **Multiply \(8\) and \(9\)**:
\[ 8 \cdot 9 = 72 \]
Now the expression is:
\[ \frac{72}{3} - 2(3) + 7 \]

4. **Divide \(72\) by \(3\)**:
\[ \frac{72}{3} = 24 \]
Now the expression is:
\[ 24 - 2(3) + 7 \]

5. **Calculate \(2(3)\)**:
\[ 2(3) = 6 \]
Now the expression is:
\[ 24 - 6 + 7 \]

6. **Subtract \(6\) from \(24\)**:
\[ 24 - 6 = 18 \]
Now the expression is:
\[ 18 + 7 \]

7. **Add \(7\) to \(18\)**:
\[ 18 + 7 = 25 \]

### Final Answer:
The value of the expression when \(g = 3\) is \(25\).

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