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Travka [436]
3 years ago
5

Find the domain and range of the relation, and state whether or not the relation is a function.

Mathematics
2 answers:
nordsb [41]3 years ago
7 0

A relation is simply a set of ordered pairs, while a function is a set of ordered pairs in which each x-coordinate has only ONE y-coordinate associated with it.

<span>The first elements in the ordered pairs (the x-values), form the domain<span>.  </span>The second elements in the ordered pairs (the y-values), form the <span>range.  </span></span>

<span><span>
</span></span>

<span><span>In the set,</span></span>

<span>{(1, 3), (2, 3), (3, 3), (4, 3)}

it is not a function, based on the definition since an x-coordinate has the same y-coordinate which is 3.

The domain is (1,2,3,4) while range is (3).</span>
Brilliant_brown [7]3 years ago
6 0
Domain is {1 ,2,3,4}
range is {3}
it's a function because each element in x has only one image in y
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Given P(A)=0.78P(A)=0.78, P(B)=0.65P(B)=0.65 and P(A\cup B)=0.873P(A∪B)=0.873, find the value of P(A\cap B)P(A∩B), rounding to t
Sever21 [200]

Answer:

P(A\ n\ B) = 0.557

Step-by-step explanation:

Given

P(A) = 0.78

P(B) = 0.65

P(A\ u\ B) = 0.873

Required

Determine P(A\ n\ B)

From laws of probability, we have:

P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)

Substitute in values

P(A\ n\ B) = 0.78 + 0.65 - 0.873

P(A\ n\ B) = 0.557

Hence, P(A\ n\ B)<em> is calculated to be 0.557</em>

8 0
2 years ago
Jessica reads a story about a turtle that swam 16 feet in 24 seconds. She assumes that the time, t, that it takes the turtle to
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You would start by figuring out the distance the turtle swims every second by dividing 24 by 16.
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2 years ago
Solve using elimination x-2y=12 and 5x+3y=-44 <br> (4,8)<br> (-4,8)<br> (4,-8)<br> (-4,-8)
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Answer:

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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
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

x - 2y = 12

5x + 3y = -44

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

x - 2y = 12

  1. [Multiplication Property of Equality] Multiply everything by -5:                  -5x + 10y = -60

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

-5x + 10y = -60

5x + 3y = -44

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

<em>Elimination</em>

  1. Combine 2 equations:                                                                                   13y = -104
  2. [Division Property of Equality] Divide 13 on both sides:                              y = -8

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

  1. Define original equation:                                                                               x - 2y = 12
  2. Substitute in <em>y</em>:                                                                                                x - 2(-8) = 12
  3. Multiply:                                                                                                           x + 16 = 12
  4. [Subtraction Property of Equality] Subtract 16 on both sides:                      x = -4
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3 years ago
If cba represents three numbers multiplied together, what property allows you to rearrange the factors to read abc?
QveST [7]
Commutative property of multiplication states that u can " commute " , move around the numbers and get the same result.
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so cba = abc by commutative property of multiplication
6 0
3 years ago
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