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Leya [2.2K]
3 years ago
7

Select the relations that are functions.

Mathematics
1 answer:
Arlecino [84]3 years ago
8 0

Answer:

Depending on how the input of each function defined,

  • The first choice \left\lbrace(a, 1),\, (6, 1), \, (C, 1)\right\rbrace,
  • The third choice \left\lbrace(1, a),\, (2, a), \, (3, a)\right\rbrace
  • The fourth choice \left\lbrace(a, a),\, (b, b), \, (c, c)\right\rbrace

might be functions.

Step-by-step explanation:

A function between two sets (domain and range) should

  • be defined for all elements in the domain, and
  • map each element from the domain to exactly one element in the range.

The second choice can't be a function since the element a from the domain is mapped to more than one element in the range.

Keep in mind that a function should be defined for all elements in its domain. For the first relation to be a function, its domain needs to be \lbrace a,\, 6, \, C\rbrace. Similarly, the domain for the third and fourth relations should be \lbrace 1,\, 2, \, 3\rbrace and \lbrace a,\, b, \, c\rbrace

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Mrs. Jones bought 6 kilograms of rice. After filling 10 containers with the same
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There are 514 gram rice in each container.

Step-by-step explanation:

Given,

Amount of rice = 6 kg

1 kg = 1000 g

6 kg = 6*1000 = 6000 g

Number of containers  = 10

Rice left = 860 g

Let,

x be the amount in each container.

Total amount of rice - Number of containers*Amount in each container = Amount of rice left

6000-10x=860\\6000-860=10x\\5140=10x\\10x=5140

Dividing both sides by 10

\frac{10x}{10}=\frac{5140}{10}\\x=514

There are 514 gram rice in each container.

Keywords: linear equation, division

Learn more about division at:

  • brainly.com/question/2670657
  • brainly.com/question/2821386

#LearnwithBrainly

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3 years ago
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rusak2 [61]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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crimeas [40]

Answer:

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Step-by-step explanation:

We assume you want the graph of ...

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A graphing calculator or spreadsheet is useful for this.

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You know cos(θ) = cos(-θ), so the graph is symmetrical about the x-axis. You can evaluate the function at a few points to find the general outline.

  r at 0° = 8

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  r at 150° ≈ 2.79

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