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PolarNik [594]
2 years ago
11

On average, Christopher scores 2 goals in a soccer game but, depending on how well the opposing team is playing, his goal total

can vary from the average by 1 goal. Which absolute value equation can be used to calculate Christopher's maximum and minimum goals per game? Let x represent the maximum and minimum goals. |x−2|=1 |x+2|=1 |x−1|=2 |x+1|=2.
Mathematics
2 answers:
mariarad [96]2 years ago
8 0

Answer:

Jorge, do your own work

svetlana [45]2 years ago
6 0

Answer:

Step-by-step explanation:

On average Christopher scores 2 goals per game

If the play is hard his goal total varies by 1 from the average

If the play is easy his goal total varies by 1 from the average

That is Christopher can score 1 goal more or 1 goal less depending upon the opponent team

He score maximum goals of 3 in a game or 1 in a game

The equation |x-2| = 1

When x = 3

|3-2| = 1

|1| = 1 True

When x = 1

|1-2| = 1

|-1| = 1

1 = 1 True

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A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium
frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

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Represent equations 1, 2 and 3 in matrix form gives:

\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]

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