https://file.aiquickdraw.com/mathbot/file/1727199266367wtkh7k5d.jpg

The expression shown in the image is:

\[
x^2 - 3y + 12 \quad \text{for} \quad x = -2 \quad \text{and} \quad y = 5
\]

Let's evaluate this step by step:

1. Substitute \( x = -2 \) and \( y = 5 \) into the expression:

\[
(-2)^2 - 3(5) + 12
\]

2. Simplify each term:

- \( (-2)^2 = 4 \)
- \( 3(5) = 15 \)

Now the expression becomes:

\[
4 - 15 + 12
\]

3. Combine the terms:

\[
4 - 15 = -11
\]
\[
-11 + 12 = 1
\]

Therefore, the value of the expression is **1**.

Would you like further details or have any other questions?

Here are 5 related questions for practice:

1. Evaluate \( x^2 - 4y + 15 \) for \( x = -3 \) and \( y = 2 \).
2. Calculate \( x^3 + y^2 - 10 \) for \( x = 1 \) and \( y = 4 \).
3. Simplify \( 2x^2 - 5y + 20 \) for \( x = 0 \) and \( y = -3 \).
4. Find the value of \( x^2 - 6y + 18 \) when \( x = 2 \) and \( y = 3 \).
5. Evaluate \( 5x + y^2 - 7 \) for \( x = 3 \) and \( y = 1 \).

**Tip:** Always apply the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) when evaluating expressions!

Evaluate the expression x^2 - 3y + 12 for x = -2 and y = 5.

Step-by-step solution to evaluate the algebraic expression x^2 - 3y + 12 by substituting x = -2 and y = 5. Learn key concepts in algebra, including substitution and simplifying expressions.

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