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ad-work [718]
1 year ago
9

Plis help me here :(

Mathematics
1 answer:
Elina [12.6K]1 year ago
3 0

The function f(x) = -7x + 22 and g(x) is f(x) translated up 5 thus option (D) is correct.

<h3>What is the transformation of a graph?</h3>

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given table,

The function f(x) = -7x + 22 is satisfying the table.

For example at x = 2

f(2) = -7 x 2 + 22 = 8

Now, since, g(x) = f(x) + 5 thus g(x) is translated up to 5 units.

Hence "The formula f(x) = -7x + 22 and the translation of f(x) up 5 is g(x).".

To learn more about the transformation of graphs,

brainly.com/question/3099136

#SPJ1

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Step-by-step explanation:

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Answer:

The mean age of the frequency distribution for the ages of the residents of a town is 43 years.

Step-by-step explanation:

We are given with the following frequency distribution below;

 

     Age                      Frequency (f)               X                    X \times f

     0 - 9                            30                         4.5                   135

    10 - 19                           32                        14.5                  464

    20 - 29                         12                         24.5                 294

    30 - 39                         20                        34.5                 690

    40 - 49                         25                        44.5                1112.5

    50 - 59                         53                        54.5                2888.5

    60 - 69                         49                        64.5                3160.5

    70 - 79                          13                         74.5                968.5

    80 - 89                  <u>        8        </u>                  84.5         <u>        676        </u>

    Total                      <u>      242      </u>                                  <u>      10389      </u>

Now, the mean of the frequency distribution is given by the following formula;

                          Mean =  \frac{\sum X \times f}{\sum f}

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Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years.

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