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Dmitry [639]
3 years ago
13

Help please! Please put the answers numbered!

Mathematics
1 answer:
Nesterboy [21]3 years ago
4 0
1: ‘8’/3x = 1+ 5/3x
2: ‘8’/3x-5/3x= 1+ 5/3x-‘5/3x’
3: ‘3’/3x=1
4: 1
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Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?
Rasek [7]

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection across the axes

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ f(x)=6(\frac{1}{3})^{x}

∵ g(x) is the image of f(x) after reflection across the y-axis

- From the rule above reflection across the y-axis changes the sign of x

∴ g(x)=6(\frac{1}{3})^{-x}

∵ (a)^{-n}=(\frac{1}{a})^{n}

∵ (\frac{1}{a})^{-n}=(a)^{n}

∴ (\frac{1}{3})^{-x}=(3)^{x}

∴ g(x)=6(3)^{x}

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
A shirt that is normally 19.95 is on sale for 20% off what is the sale price​
MAVERICK [17]

Answer:

$15.96

Step-by-step explanation:

Sales price = $19.95

Discount = 20%

Amount paid = $19.95 - ($19.95*20%) = $19.95 - $3.99 = $15.96

6 0
3 years ago
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Find the area between y = 8 sin ( x ) y=8sin⁡(x) and y = 8 cos ( x ) y=8cos⁡(x) over the interval [ 0 , π ] . [0,π]. (Use decima
Marina86 [1]

Answer:

0.416 au

Step-by-step explanation:

Let y1=8sin(x) and y2=8cos(x), we must find the area between y1 and y2

\int\limits^\pi _0{(8cos(x)-8sin(x))} \, dx = 8\int\limits^\pi _0{(cos(x)-sin(x))} \, dx =\\8(sin(x)+cos(x)) evaluated(0-\pi )=\\8(sin(\pi )-sin(0))+8(cos(\pi )-cos(0))=\\8(0.054-0)+8(0.998-1)=8(0.054)+8(-0.002)=0.432-0.016=0.416

3 0
3 years ago
Tara has a magnet collection from places she visited. She measures the length of the magnets to the nearest half inch and record
gregori [183]

Answer:

there are more magnets that  longer than 2 1/2

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

From the photo, we can see that:

Length of the magnet:

  • 1 inch there is 1 magnet
  • 1\frac{1}{2} inches there are 2 magnets
  • 2 inches there are 3 magnets
  • 3 inches there are 4 magnets
  • 3\frac{1}{2} there is 1 magnet
  • 4 inches there are 2 magnets

=> the total number of magnets that  longer than 2 1/2 are: 4+1+2 = 7

=> the total number of magnets that  shorter than 2 1/2 are: 1+2+3 = 6

Hence, there are more magnets that  longer than 2 1/2

Hope it will find you well.

8 0
3 years ago
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Answer all and maybe you can get brainest
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