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Alexxx [7]
3 years ago
8

Solve the equation using either addition or substitution. Show all your work

Mathematics
1 answer:
UkoKoshka [18]3 years ago
6 0

Answer:

(x1, y1) = (1, 3)

(x2, y2) = (4, 12)

Step-by-step explanation:

y= x^2 - 4

y= 5x - 8

(substitute the value for y)

x^2 - 4 = 5x - 8

(solve the equation)

x = 1

x = 4

(substitute the values)

y = 5 × 1 - 8

y = 5 × 4 - 8

(solve the equations)

y = -3

y = 12

( the possible solutions are)

x1, y1 = 1, -3

x2, y2 = 4, 12

(check the solutions)

-3 = 1^2 - 4

-3 = 5 × 1 - 8

12 = 4^2 - 4

12 = 5 × 4 - 8

(simplify)

-3 = -3

-3 = -3

12 = 12

12 = 12

(the ordered pairs are the solutions)

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Answer:

\displaystyle m=\frac{-3}{4}

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
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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

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  1. Substitute in points [Slope Formula]:                                                            \displaystyle m=\frac{5-8}{4-0}
  2. [Fraction] Subtract:                                                                                         \displaystyle m=\frac{-3}{4}
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Step-by-step explanation:

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Answer:

see explanation

Step-by-step explanation:

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Given

4y² + 26y + 30 ← factor out 2 from each term

= 2(2y² + 13y + 15) ← factor the quadratic

Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term.

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the factors are 10 and 3

Use these factors to split the y- term

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