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kobusy [5.1K]
3 years ago
10

Let f(x)=3x and g(x)=3x−3+2 .

Mathematics
2 answers:
Leokris [45]3 years ago
8 0
Horizontal Translation of 3 units to the right

Vertical Translation of 2 units up

butalik [34]3 years ago
3 0

Answer:

Transformations: Shifted down by 3 units.

                             Then Shifted up by 2 units.

Step-by-step explanation:

Let the parent function be f(x) = 3x

Now shift the parent graph down by 3 units

Rule : f(x)→f(x)-b

The graph f(x) shifted down by b units

So, According to rule  f(x)→f(x)-3

So, new function  becomes: f'(x)=3x-3

Now we are supposed to shift the graph 2 units up

Rule : f(x)→f(x)+b

The graph f(x) shifted up by b units

So, According to rule  f'(x)→f'(x)+2

So, the new function is g(x) = 3x-3+2

Thus the graph of f(x) shifted down by 3 units then shifted up by 2 units to obtain the graph g(x).

Transformations: Shifted down by 3 units.

                             Then Shifted up by 2 units.

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Use the dot plot to answer the question.
Tcecarenko [31]

Answer:

Mean of the data set in the dot plot would be: 3.6

Step-by-step explanation:

As we know that Mean from the dot plot can be obtained by:

  • adding the numbers and then
  • divide the resulting sum by the number of addends.

Please check the attached figure where the dot plot is also plotted.

From the dot plot, it is clear that

There are 3 dots at 1.

There are 4 dots at 2.

There are 3 dots at 3.

There are 4 dots at 4.

There are 5 dots at 5.

There are 3 dots at 6.

All we have to do is to add the dots and divide the sum by the number of addend dots.

In other words:

There are 3 dots at 1    ⇒  1+1+1

There are 4 dots at 2   ⇒  2+2+2+2

There are 3 dots at 3   ⇒   3+3+3

There are 4 dots at 4   ⇒   4+4+4+4

There are 5 dots at 5   ⇒   5+5+5+5+5

There are 3 dots at 6   ⇒   6+6+6

As there are total 22 dots.

And the sum of all the dots with respect to their plot number = 79

i.e. 1+1+1+2+2+2+2+3+3+3+4+4+4+4+5+5+5+5+5+6+6+6 = 79

Thus

Mean of the data set in the dot plot = 79/22

                                                            = 3.6

Therefore, Mean of the data set in the dot plot would be: 3.6

4 0
3 years ago
Guided Practice
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Answer: y( 1 - 7y2 + 15y7)

Step-by-step explanation:Just put () around the 1 threw 15 and put the y out  of the ()

5 0
2 years ago
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The picture below shows a portion of a river dam:
NNADVOKAT [17]
Hello,

If you are starting with the angle of 40 degrees, you have an adjacent side and hypotenuse. Therefore, it is a cosine relationship.

We can write:

cos(40) = adj / hyp
cos(40) = x / 220

To solve for x, simply multiply 220 by the cos(40).
You can write it as:  220 cos(40)

Good luck,
MrEQ

8 0
3 years ago
Read 2 more answers
Simplify: 5 - 8n - 4n
Arada [10]

Answer:

5-12n is the answer

Step-by-step explanation:

-8n -4n =12ñ

3 0
3 years ago
You decide to buy some berries as a surprise for your aunt from the local farmer’s market. However, when you arrive, you see tha
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There are 4 possibilities of a right choice. Your Aunt has 1 favorite. So you probability would be 1/4 or .25
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3 years ago
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