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pantera1 [17]
3 years ago
15

Match each step with the property used to get to that step. (Note: The steps in the left column are listed in the correct order

needed to simplify the expression.)
(6x + 3) - 5x

1. (3 + 6x) - 5x
                                                                    identity
2. 3 + (6x - 5x)
                                                                    no property applies
3. 3 + (6 - 5)x
                                                                     commutative
4. 3 + (1)x
                                                                     distributive
5. 3 + x
                                                                       associative
Mathematics
1 answer:
noname [10]3 years ago
8 0
1. commutative
2. associative
3.distributive
4.no property
5.identity
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Answer:

<u>5</u> is the GCF

Step-by-step explanation:

The factors of 35 are: 1,5,7,35

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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The highest or greatest factors that all of them have in common is 5.

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Please help me with this.
tatyana61 [14]

By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:

  1. r (- 3) = 15
  2. r (- 1) = 11
  3. r (1) = - 7
  4. r (5) = 13

<h3>How to evaluate a piecewise function at given values</h3>

In this question we have a <em>piecewise</em> function formed by three expressions associated with three respective intervals. We need to evaluate the expression at a value of the <em>respective</em> interval:

<h3>r(- 3): </h3>

-3 ∈ (- ∞, -1]

r(- 3) = - 2 · (- 3) + 9

r (- 3) = 15

<h3>r(- 1):</h3>

-1 ∈ (- ∞, -1]

r(- 1) = - 2 · (- 1) + 9

r (- 1) = 11

<h3>r(1):</h3>

1 ∈ (-1, 5)

r(1) = 2 · 1² - 4 · 1 - 5

r (1) = - 7

<h3>r(5):</h3>

5 ∈ [5, + ∞)

r(5) = 4 · 5 - 7

r (5) = 13

By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:

  1. r (- 3) = 15
  2. r (- 1) = 11
  3. r (1) = - 7
  4. r (5) = 13

To learn more on piecewise functions: brainly.com/question/12561612

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