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Ivan
3 years ago
6

I have this math problem and it is: an equation in function from that reflects f(x)=3x over the line y=0.

Mathematics
1 answer:
Gnoma [55]3 years ago
4 0

Answer:

g(x) = -3x

Step-by-step explanation:

Given

f(x) = 3x

Required

Reflect over y = 0

This means that we reflect over the x-axis

And the rule of reflection is:

(x,y) \to (x,-y)

Hence:

f(x) = 3x

Will become:

g(x) = -f(x)

So, we have:

g(x) = -3x

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Kent worked in the houseware section of a department store. This year he set a record high for vacuum sales with567 vacuum sold.
Gemiola [76]
First subtract the original high from the new high:
567 - 540 = 27 more vacuums sold.

Now divide the increase amount by the original high and multiply that by 100 to get the percentage:

27 / 540 = 0.05

0.05 * 100 = 5% Increase.
5 0
3 years ago
Find the volume of the solid by rotating the region bounded by y=x^3, y=8, and x=0 about the y axis.
dimulka [17.4K]

Answer:

Solution : Volume = 96/5π

Step-by-step explanation:

If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:

A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)

And now since the solid lies between y = 0, and y = 8, it's volume should be:

V =  ∫⁸₀  A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])

=> π ∫⁸₀ y^(2/3)dy

=> π[3/5 * y^(5/3)]⁸₀

=> 3/5π(³√8)⁵

=> 3/5π2^5

=> 96/5π ✓

7 0
3 years ago
Please help me with this thanks
slava [35]

Answer:

I believe it is 60 degrees

Step-by-step explanation:

90 degrees plus 30 is 120 then plus x will be 180 so 180 - 120 is 60

5 0
3 years ago
Tell whether the angles are complementary or supplementary. Then find the value of x.
Genrish500 [490]

Answer:

x = 33

Step-by-step explanation:

Two angles are complementary as the sum of two angles is 90

x + 24 + x = 90        {Combine like terms}

  2x + 24 = 90      {Subtract 24 from both sides}

          2x  = 90 - 24

         2x   = 66

          x   = 66/2

         x = 33

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3 years ago
A researcher records the hospital admission rates for coronary heart disease at 10 local hospitals. She finds that 2 different h
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The central tendency researcher use to describe these data is "mode".

<h3>What is mode?</h3>

The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.

Calculation of mode is done by-

  • The number that appears the most frequently in a piece of data is its mode.
  • Put the numbers in ascending order by least to greatest, then count the occurrences of each number to quickly determine the mode.
  • The most frequent number is the mode.
  • Simply counting how many times each number appears in the data set can help you identify the mode, which is the number that appears the most frequently in the data set.
  • The figure with the largest total is the mode.
  • Example: Since it happens most frequently, the mode for the data set [5, 7, 8, 2, 1, 5, 6, 7, 5] is 5.

To know more about the mode of the data, here

brainly.com/question/27951780

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6 0
1 year ago
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