Respuesta :
Answer:
f(3, -1) = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Algebra I
- Function Notation
Step-by-step explanation:
Step 1: Define
f(x, y) = 2x - 3y + xy²
(3, -1) is x =3 and y = -1
Step 2: Evaluate
- Substitute: f(3, -1) = 2(3) - 3(-1) + 3(-1)²
- Exponents: f(3, -1) = 2(3) - 3(-1) + 3(1)
- Multiply: f(3, -1) = 6 + 3 + 3
- Add: f(3, -1) = 9 + 3
- Add: f(3, -1) = 12
In (3,-1) the first number is x and the second number is y.
Replace x and y in the equation and solve:
2x - 3y + xy^2 = 2(3) -3(-1) + (3)(-1)^2
Simplify:
6 + 3 +3 = 12
The answer is 12