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Elenna [48]
3 years ago
13

Why0.6 is ten time as much as 0.06

Mathematics
1 answer:
weeeeeb [17]3 years ago
5 0
The numbers after the decimal place are represented as 10ths, hundredths, thousandths, and so on. 0.6 is said as "Zero point six tenths." Or "Zero and six tenths."
0.06 is said as "Zero point zero six hundredths." Or "Zero and six hundredths."

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What is the domain and range of f(x)=2|x+2|-8
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Answer:

The domain of f(x) is {x : x ∈ R} and the range is {y : y ≥ -8}

Step-by-step explanation:

- The domain of the function is the values of x which make the

  function defined

- The rang is the corresponding values of y with the domain

- The parent function of f(x) is g(x) = IxI

- The graph of this function represented by 2 lines starting from  

  the origin, one of them with positive slope and the other with negative

  slope and both of them over the x-axis

- The Domain of g(x) is {x : x ∈ R} where R is the set of real numbers

- That mean the domain of g(x) is all real numbers

- The range of g(x) is {y : y ≥ 0}

- That mean the range is all real numbers greater than or equal to zero

- f(x) is the image of g(x) after some transformations

- g(x) multiplied by 2 that mean vertical stretch.

- Then x add by 2 that mean horizontal translation to the left by 2 units

- Then subtract 8 from it means vertical translation down by 8 units

- The figure of f(x) is the same lines but stretched vertically away from

   x-axis and moved to the left 2 units and down 8 units

- That means the image of the origin is (-2 , -8)

- So the domain does not change it is the all real numbers

- The domain of f(x) is {x : x ∈ R}

- But the range changes is because the graph of the function starts

 from -8 not from 0

- Then the range of f(x) is {y : y ≥ -8}

* The domain of f(x) is {x : x ∈ R} and the range is {y : y ≥ -8}

- <em>Look to the attached graph for more understand</em>

7 0
3 years ago
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