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attashe74 [19]
3 years ago
12

Apply the distributive property to factor out the greatest common factor. 90+27=

Mathematics
2 answers:
solniwko [45]3 years ago
6 0

Answer:

9 (10+3)

Step-by-step explanation:

90 = 9*10 = 9*5*2

27 = 9*3

The greatest common factor is 9

9 (10+3)

Elis [28]3 years ago
4 0

The GCF of 90 and 27 is 9.

Divide both numbers by the GCF: 90/9 = 10 and 27/9 = 3

9 is going to be the number you multiply outside the parenthesis. (10 + 3) is going to be inside the parenthesis.

9(10 + 3)

We can check by using the distributive property; a(b + c) = ab + ac

(9 * 10) + (9 * 3) = 90 + 27

Best of Luck!

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Answer:

\displaystyle \frac{7x^2 + 4x - 20}{5x + 10} = \frac{7x - 10}{5}, x \neq -2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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

<u>Algebra I</u>

  • Terms/Coefficients
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<u>Calculus</u>

Discontinuities

  • Removable (Holes)
  • Jump (Piece-wise functions)
  • Infinite (Asymptotes)

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}<u />

<u />

<u>Step 2: Simplify</u>

  1. [Frac - Numerator] Factor quadratic:                    \displaystyle \frac{(7x - 10)(x + 2)}{5x + 10}
  2. [Frac - Denominator] Factor GCF:                        \displaystyle \frac{(7x - 10)(x + 2)}{5(x + 2)}
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When we divide (x + 2), we would have a <em>removable</em> <em>discontinuity</em>. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.

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