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VashaNatasha [74]
3 years ago
11

(a) If U = {y:5 20), P= {7,8,12, 19; and Q = {12, 15, 17, 19), find PU Q and P-Q.

Mathematics
1 answer:
storchak [24]3 years ago
3 0

<em>Solution</em><em>,</em>

<em>P=</em><em>{</em><em>7</em><em>,</em><em>8</em><em>,</em><em>1</em><em>2</em><em>,</em><em>1</em><em>9</em><em>}</em>

<em>Q=</em><em>{</em><em>1</em><em>2</em><em>,</em><em>1</em><em>5</em><em>,</em><em>1</em><em>7</em><em>,</em><em>1</em><em>9</em><em>}</em>

<em>P </em><em>U </em><em>Q=</em><em>{</em><em>7</em><em>,</em><em>8</em><em>,</em><em>1</em><em>2</em><em>,</em><em>1</em><em>9</em><em>}</em><em> </em><em>U </em><em>{</em><em> </em><em>1</em><em>2</em><em>,</em><em>1</em><em>5</em><em>,</em><em>1</em><em>7</em><em>,</em><em>1</em><em>9</em><em>}</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>{</em><em> </em><em>7</em><em>,</em><em>8</em><em>,</em><em>1</em><em>2</em><em>,</em><em>1</em><em>5</em><em>,</em><em>1</em><em>7</em><em>,</em><em>1</em><em>9</em><em>}</em>

<em>P-Q=</em><em>{</em><em>7</em><em>,</em><em>8</em><em>,</em><em>1</em><em>2</em><em>,</em><em>1</em><em>9</em><em>}</em><em>-</em><em>{</em><em>1</em><em>2</em><em>,</em><em>1</em><em>5</em><em>,</em><em>1</em><em>7</em><em>,</em><em>1</em><em>9</em><em>}</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>{</em><em>7</em><em>,</em><em>8</em><em>}</em>

<em>Hope </em><em>it</em><em> helps</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>

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1 year ago
Part A: Eveline rented a car at $180 for 4 days. If she rents the same car for 9 days, she has to pay a total rent of $325. Writ
QveST [7]

Answer:


Step-by-step explanation:

Part A

We will use the slope intercept form of the line and then convert later.

Equation

y = mx + b is the general form

Givens

Two data points

(4,180)

(9,325)

Solution

325 = 9x + b

<u>180 = 4x + b</u>                Subtract

145 = 5x                      Divide by 5

145/5 = 5x/5               Do the division

29 = x                          This represents the cost / day

180 = 4x + b                 Substitute x = 29 to find b

180 = 4*29 + b             Combine

180 = 116 + b                Subtract 116 from both sides.

180 - 116 = b

64   = b

Solution for y = mx + b

y = 29x + 64

In Standard form this is

- 29x + y = 64 But the first number must be plus

29x - y = - 64 <<<< Answer A

Part B

y = 29x + 64

f(x) = 29x + 64

Part C

The graph is shown below. Various points are filled in using y = 29x + 64. The y intercept is (0,64) which is labeled. Let x = 1 , 2, 3, 4, ... 10 (which is arbitrary). This may be more easily done on a spreadsheet if you know how to use one to make graphs.


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Negative three is -3.

Times a number means multiplying by a number (in case you forgot or get confused, I wrote it again). That number will be a variable; x. This is the same number.

Now let's write down the equation.

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The left side says this; "thirty less than negative fifteen times a number."

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So the left side of the inequality is -15x - 30.

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54 more than means adding 54 meaning + 54.

And you are adding 54 to "negative three times a number."

Negative three is -3, times a number is -3x.

So the right side of the inequality is -3x + 54.

So the full inequality is -15x - 30 > -3x + 54.

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Answer:

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Step-by-step explanation:

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