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Grace [21]
1 year ago
13

Question 2 of 25

Mathematics
1 answer:
notsponge [240]1 year ago
6 0

The inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6

<h3>How to determine the inverse function?</h3>

The function is given as:

f(x) = 6x + 4

Rewrite as:

y = 6x + 4

Swap x and y

x = 6y + 4

Subtract 4 from both sides

6y = x - 4

Divide through by 6

y = (x - 4)/6

Rewrite as:

f^-1(x) = (x - 4)/6

Hence, the inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6

Read more about inverse functions at:

brainly.com/question/2541698

#SPJ1

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What is the area of a sector with a central angle of 2pi/9 radians and a diameter of 20.6mm? Use 3.14 for Ali and round your ans
LuckyWell [14K]
- The area of the circle is:

 A=πr²

 A is the area of the circle.
 π=3.14
 r is the radius of the circle.

 - To calculate the area of <span> the sector indicated in the problem, you must apply the following formula:

 As=(</span>θ/2π)πr²

 As is the area of the sector.
 θ is the central angle (θ=2π/9)
 π=3.14
 r is the radius.

 - First, you must find the radius:

 r=Diameter/2
 r=20.6 mm/2
 r=10.3 mm

 - Now, you can substitute the values into the formula As=(θ/2π)πr². Then, you have:

 As=(θ/2π)πr²
 As=(2π/9/2π)(π)(10.3)²
 As=(π/9π)(π)(10.3)²
 As=(3.14/9x3.14)(3.14)(10.3)²

 - Finally, the area of the sector is:

 As= 37.01 mm²
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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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