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just olya [345]
3 years ago
6

Solve. Show work please. Passing through (-3,-1) and (2,4)

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0

Slope formula: (y² - y¹) / (x² - x¹)

(-3, -1) (2, 4)

x¹ = -3

x² = 2

y¹ = -1

y² = 4

4 - (-1) = 5

2 - (-3) = 5

5/5 = 1

So the slope is 1.

Hope this Helps!!

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Josie deposited $450 at the beginning of the month. A payment of $35.20 is automatically deducted each month for her gym members
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Answer:

You have told us that there is $450 in Josie's bank account, and she does not make any later deposits or withdraws. You have also told us that the gym deducts $35.20 every one month in fees.

Explanation:

The answer is really easy to find. All you have to do is subtract 35.20 from 450. The problem asks for the amount of money that Josie has in her account at the end of the month - the same month that she put $450 into her account.

Solve:

450 - 35.20

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Josie has $414.80 in her bank account at the end of the month.

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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

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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

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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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y = \frac{3}{2}x +2

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Answer:

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