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qaws [65]
3 years ago
12

Find the x- and y- intercepts of the line with the equation 3x+4y=-12

Mathematics
1 answer:
masya89 [10]3 years ago
8 0
3x + 4y = -12

X - Intercept:    3x + 4y = -12
                      3x + 4(0) = -12
                           3x + 0 = -12
                                 3x = -12
                                  3       3
                                   x = -4
                             (x, y) = (-4, 0)

Y - Intercept:   3x + 4y = 12
                     3(0) + 4y = 12
                         0 + 4y = 12
                               4y = 12
                                4      4
                                 y = 3
                           (x, y) = (0, 3)
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<em>Note: You may have missed to add the dot plots chart, so I found the chart after a little research and hence, I am attaching it and based on that dot plot chart I am solving the question which anyways would clear you concept.</em>

Answer:

''The median for the students is 2 and the median for the teachers is 3'' is the right option which compares the medians of the data.

Step-by-step explanation:

Data for students from the dot plot in order

0,\:0,\:1,\:1,\:1,\:1,\:2,\:2,\:2,\:2,\:2,\:2,\:2,\:3,\:3,\:3,\:3,\:3,\:4,\:4

Calculating Median for students:

0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4

As you can see, we do not have just one middle number but we have a pair of middle numbers i.e. 2 and 2, so the median is the average of these two numbers:

Median = (2+2)/2

            =4/2

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Data for teachers from the dot plot in order

0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8

Calculating Median for teachers:

0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8

As you can see, we do not have just one middle number but we have a pair of middle numbers i.e. 3 and 3, so the median is the average of these two numbers:

Median = (3+3)/2

            =6/2

            = 3

Therefore, ''the median for the students is 2 and the median for the teachers is 3'' is the right option which compares the medians of the data.

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