Jody and her friends are playing a game in which the person who scores closest to zero points after three rounds wins! Jody's friend Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round. Jody scored 10 points in the first round and lost 4 points in the second round. What will Jody need to score in the third round to win the game? (3 points)

Answers

Answer 1

Answer:

Jody needs to lose the third round by 6 points to win the game.

Step-by-step explanation:

The rule of the game is the person who scores closest to zero points after three rounds win.

Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round.

So, total points for Robyn = 5-8+4=1

So, the magnitude of the closeness of Robyn's score from zero

=|1-0|=1

Jody scored 10 points in the first round and lost 4 points in the second round.

Let Jody score x point in the third round.

Total points for Jody= 10-4+x=6+x

So, the magnitude of the closeness of Jody's score from zero

=|6+x-0|=|6+x|

The condition for Jody to win the game is his points must be closer to zero than Robyn's points, i.e

|6+x|<1

Case 1: If  [tex]x\geq -6[/tex],

6+x<1

[tex]\Rightarrow x<-5[/tex], which is not possible for this case.

Case 2: If  [tex]x\leq -6[/tex],

-(6+x)<1

[tex]\Rightarrow x+6>1[/tex]

[tex]\Rightarrow x>-5[/tex]

For this case [tex]x= -6[/tex] is the only possibility.

So, Jody must score -6 in the third round to win the game. i.e Jody needs to lose the third round by 6 points.


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Answers

Answer: X = 5/4

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Answer:

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Step-by-step explanation:

Subtract 3/8 from both sides.

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answer:

A. (–4 + i) + 4i = –4 + (i + 4i)

Step-by-step explanation:

edge2020

Have a great day y'all :)

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Answers

Answer:

Step-by-step explanation:

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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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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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600

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Answers

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D

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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