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Helpppp quickk plzzzzzzzzzzz

Helpppp quickk plzzzzzzzzzzz-example-1
User Amalie
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1 Answer

8 votes

Answer:


\displaystyle -1

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

Algebra I

  • Interval Notation
  • Function Notation
  • Average Rate of Change:
    \displaystyle (f(b) - f(a))/(b - a)

Explanation:

Step 1: Define

h(x) = x² + 3x - 6

[-7, 3] → a = -7, b = 3

Step 2: Find Average

  1. Substitute in variables [Average Rate of Change]:
    \displaystyle (f(3) - f(-7))/(3 - -7)
  2. [Average Rate of Change] Substitute in function:
    \displaystyle (3^2 + 3(3) - 6 - [(-7)^2 + 3(-7) - 6])/(3 - -7)
  3. [Average Rate of Change] Simplify:
    \displaystyle (3^2 + 3(3) - 6 - [(-7)^2 + 3(-7) - 6])/(3 + 7)
  1. [Average Rate of Change] Evaluate exponents:
    \displaystyle (9 + 3(3) - 6 - [49 + 3(-7) - 6])/(3 + 7)
  2. [Average Rate of Change] Multiply:
    \displaystyle (9 + 9 - 6 - [49 - 21 - 6])/(3 + 7)
  3. [Average Rate of Change] [Brackets] Subtract:
    \displaystyle (9 + 9 - 6 - [28 - 6])/(3 + 7)
  4. [Average Rate of Change] [Brackets] Subtract:
    \displaystyle (9 + 9 - 6 - 22)/(3 + 7)
  5. [Average Rate of Change] Add:
    \displaystyle (18 - 6 - 22)/(3 + 7)
  6. [Average Rate of Change] Subtract:
    \displaystyle (12 - 22)/(3 + 7)
  7. [Average Rate of Change] Subtract:
    \displaystyle (-10)/(3 + 7)
  8. [Average Rate of Change] Add:
    \displaystyle (-10)/(10)
  9. [Average Rate of Change] Divide:
    \displaystyle -1
User Andrew Ramnikov
by
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