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Evaluate the following expression, when x=-2

2x^2+4x-3

A) 3
B) 3
C) -19
D) 9

Sagot :

Space

Answer:

A) -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

Step 1: Define

2x² + 4x - 3

x = -2

Step 2: Evaluate

  1. Substitute in x:                                                                                                2(-2)² + 4(-2) - 3
  2. Exponents:                                                                                                      2(4) + 4(-2) - 3
  3. Multiply:                                                                                                           8 - 8 - 3
  4. Subtract:                                                                                                          -3
thepingu

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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