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LenKa [72]
2 years ago
5

PLZ HELP x + y - 6 =0 x - y = 0 what is the solution of the system? (-3,3) (3,-3) (3,3)

Mathematics
1 answer:
Molodets [167]2 years ago
5 0

Answer:

(3, 3)

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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

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

x + y - 6 = 0

x - y = 0

<u>Step 2: Rewrite Systems</u>

x + y - 6 = 0

  1. Add 6 on both sides:                    x + y = 6

<u>Step 3: Redefine Systems</u>

x + y = 6

x - y = 0

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Elimination</em>

  1. Combine 2 equations:                     2x = 6
  2. Divide 2 on both sides:                    x = 3

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                     x - y = 0
  2. Substitute in <em>x</em>:                        3 - y = 0
  3. Subtract 3 on both sides:       -y = -3
  4. Divide -1 on both sides:          y = 3
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Step-by-step explanation:

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Then

H_{0} p1  = p2

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Test statistic can be found usin the equation:

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As |p1-p2| gets smaller, the value of the <em>test statistic</em> gets smaller. Thus the probability of its being extreme gets smaller. This means its p-value gets higher.

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3 years ago
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We know that

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the equation of the vertical parabola write in vertex form is
y=a(x-h)²+k,
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Using our vertex, we have:
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We know that the parabola goes through (5, 0),

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we can use these coordinates to find the value of a:
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Add 1 to both sides:
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the answer is
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case b)
the equation of the horizontal parabola write in vertex form is
x=a(y-k)²+h, 
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Using our vertex, we have:
x=a(y+1)²+2, 
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we can use these coordinates to find the value of a:
5=a(0+1)²+2
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the answer is
a=3

see the attached figure 

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