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DanielleElmas [232]
3 years ago
12

Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options.

Mathematics
1 answer:
VladimirAG [237]3 years ago
8 0
A. If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.
B. If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.
D. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.
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Answer:

{x,y} = {2,9}

Step-by-step explanation:

Solve equation [2] for the variable  y  

 

 [2]    2y = -6x + 30

 [2]    y = -3x + 15

// Plug this in for variable  y  in equation [1]

  [1]    3x + 2•(-3x+15) = 24

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// Solve equation [1] for the variable  x  

  [1]    3x = 6  

  [1]    x = 2  

// By now we know this much :

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   y = -3x+15

// Use the  x  value to solve for  y  

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2 years ago
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alexdok [17]

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Step-by-step explanation:

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Which ratios approximate pi ​(​)?
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9514 1404 393

Answer:

  A: 66/21

  E: 22/7

Step-by-step explanation:

The offered choices reduce to 3 1/7 or to 3. The best approximations of those given are the ones that reduce to 3 1/7.

  A: 66/21 = 22/7 = 3 1/7

  B: 60/20 = 3

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  D: 45/15 = 3

  E: 22/7 = 3 1/7

___

<em>Comment on pi approximations</em>

The ratio 22/7 differs from π by about 0.04%. A better approximation is 355/113, which differs from π by about 0.000008%. The approximation 3.14 differs from π by about 0.05%.

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