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never [62]
1 year ago
14

Consider the statements below. Which are propositions? Mark all that apply.

Mathematics
1 answer:
allochka39001 [22]1 year ago
5 0

The following statements are considered to be propositions:

  • 2 + 2 = 7
  • There are more men than women at BYU-Idaho.
  • 2 + 2 = 4
  • Ron hates spiders.

<h3>What is deductive reasoning?</h3>

Deductive reasoning can be defined as a type of logical reasoning that typically involves drawing conclusions based on a given set of rules and conditions or from one or more premises (factual statements) that are assumed to be generally (universally) true.

<h3>What is a proposition?</h3>

A proposition can be defined as a type of statement (assertion) that is typically used to express an opinion or a judgement, with either a true or false answer.

This ultimately implies that, a proposition refers to a type of statement (assertion) that is either a true or false.

In this context, we can infer and logically deduce that the following statements are considered to be propositions:

  • 2 + 2 = 7
  • There are more men than women at BYU-Idaho.
  • 2 + 2 = 4
  • Ron hates spiders.

Read more on propositions here: brainly.com/question/24158168

#SPJ1

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1. Solve and verify each of the following systems of linear equations.
kakasveta [241]
5x - 2y = -6 ⇒ 10x - 4y = -12
2x - 1y =  1 ⇒ <u>10x - 5y =    5</u>
                                  y = -17
                   5x - 2(-17) = -6
                       5x + 34 = -6
                       <u>      - 34 - 34</u>
                               <u>5x</u> = <u>-40</u>
                                5       5
                                 x = -8
                           (x, y) = (-8, -17)

2x + 3y = 432 ⇒ 10x + 15y = 2160
5x + 2y =   16 ⇒ <u>10x +   4y =     32</u>
                                     <u>11y</u> = <u>2128</u>
                                      11       11
                                         y = 193.4545455
          2x + 3(193.4545455) = 432
              2x + 580.3636364 = 432
              <u>     - 580.3636364  - 580.3636364</u>
                                       <u>2x</u> = <u>-148.3636364</u>
                                        2                2
                                         x = -74.1818182
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3 years ago
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When the positive integer x is divided by 11, the quotient is y and the remainder 3. When x is divided by 19, the remainder is a
Lyrx [107]

Answer:

A) 0

Step-by-step explanation:

When x is divided by 11, we have a quotient of y and a remainder of 3

x/11 = y + 3

x = 11y + 3 ........(1)

When x is divided by 19, we have a remainder of 3 also

x/19 = p + 3 (p = quotient)

x = 19p + 3 ..........(2)

Equate (1) and (2)

x = 11y + 3 = 19p + 3

11y + 3 = 19p + 3

11y = 19p + 3 -3

11y = 19p

Divide both sides by 11

11y/11 = 19p/11

y = 19p/11

y and p are integers. 19 is a prime number. P/11 is also an integer

y = 19(integer)

This implies that y is a multiple of 19. When divided by 19, there is no remainder. The remainder is 0

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poizon [28]
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Your answer is D

Hope I helped you :-)
6 0
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