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Sagot :
Answer:
A) -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Step-by-step explanation:
Step 1: Define
2x² + 4x - 3
x = -2
Step 2: Evaluate
- Substitute in x: 2(-2)² + 4(-2) - 3
- Exponents: 2(4) + 4(-2) - 3
- Multiply: 8 - 8 - 3
- Subtract: -3
Answer:
[tex]\huge\boxed{\text{A) -3}}[/tex]
Step-by-step explanation:
To find the value of this equation when [tex]x=-2[/tex], we can substitute this value inside the equation and use PEMDAS to successfully find the value.
With the expression of [tex]2x^2+4x-3[/tex], let's substitute -2 in as x.
- [tex]2(-2)^2 + 4(-2) - 3[/tex]
Now let's follow PEMDAS to solve this equation.
PEMDAS states that when solving an expression/equation, the order we must follow is
- Parentheses
- Exponents
- Multiplication/
- Division
- Addition/
- Subtraction
We can now solve for this.
We see that exponents come before multiply and dividing. Therefore:
- [tex]2(-2)^2 = 2 \cdot (-2)^2 = 2 \cdot 4 = 8[/tex]
So the value of our first term is 8.
Our second term will be [tex]4 \cdot -2 = -8[/tex], and our last term will remain -3.
Adding these values together:
[tex]8 - 8 - 3 = -3[/tex]
Therefore, the value of this expression when x = -2 is -3.
Hope this helped!
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