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professor190 [17]
3 years ago
11

I rlly need help- worth a lot of points

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0

Answer:  see below

<u>Step-by-step explanation:</u>

To find the frequency, simply count the number of leaves

Brisbane:

Stem      Leaf         Frequency

   0                                 0

   1                                  0

  2        8,6,5                  3

  3        5                         1

  4        8,8,4,2               4

  5        9,2,0,0               4

  6       7,6,2,2,1,1            6

  7        6,2,2,1,1,1,0,0      8

  8       9,9,9,8,2             5

Brisbane Graph:

\begin{array}{ccccccccc}&&&&&&&x&\\&&&&&&&x&\\&&&&&&x&x&\\&&&&&&x&x&x\\&&&&x&x&x&x&x\\&&x&&x&x&x&x&x\\&&x&&x&x&x&x&x\\&&x&x&x&x&x&x&x\\0&1&2&3&4&5&6&7&8\end{array}

Parth:

Stem      Leaf         Frequency

   0       0,0,1,1,2,2           6

   1        0,2,4,5               4

  2        0,7,8,9               4

  3        0,1,4,6                4

  4        1,2,5,5,9             5

  5        1,3,3,6,7             5

  6        0,1,2                  3

  7                                  0

  8                                  0

Parth Graph:

\begin{array}{ccccccccc}x&&&&&&&&\\x&&&&x&x&&&\\x&x&x&x&x&x&&&\\x&x&x&x&x&x&x&&\\x&x&x&x&x&x&x&&\\x&x&x&x&x&x&x&&\\0&1&2&3&4&5&6&7&8\end{array}

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Answer:

  (a)  (5, -3)

Step-by-step explanation:

The "substitution method" for solving a system of equations requires that you write an expression that can be substituted for a variable in one or more of the other equations in the system.

<h3>Expression to substitute</h3>

The given equations are ...

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We notice the first equation gives an expression for y. This is exactly what we want to substitute for y in the second equation.

<h3>Substitution</h3>

When the expression (x-8) is substituted for y in the second equation, you get ...

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This simplifies to ...

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<h3>Solution</h3>

This 2-step equation can now be solved in the usual way:

  5x = 25 . . . . . . add 24 to isolate the variable term

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Note that we now know what the correct answer choice is.

Using the expression for y, we find ...

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The solution is (x, y) = (5, -3).

__

The attached graph confirms this solution.

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