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Rina8888 [55]
3 years ago
15

Simplify 3/4(3x+6)-1/4(5x-24)

Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0
Distribute
Combine like terms
x+21/2
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Rewrite the function f(x)=3(x+1)^2-2 in the form f(x)=ax^2+bx+c
frutty [35]

Answer:

f(x) = 3x² + 6x + 1

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Expand by FOIL (First Outside Inside Last)
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  • Vertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

<u>Step 1: Define function</u>

f(x) = 3(x + 1)² - 2

<u>Step 2: Find Standard Form</u>

  1. Expand by FOILing:                        f(x) = 3(x² + 2x + 1) - 2
  2. Distribute 3:                                     f(x) = 3x² + 6x + 3 - 2
  3. Combine like terms (constants):    f(x) = 3x² + 6x + 1
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