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ch4aika [34]
3 years ago
6

F(x) = x^2-5 g(x) = 4x - 4 Find (f-g) (5)

Mathematics
1 answer:
Tresset [83]3 years ago
3 0

<u>Answer:</u>

The correct answer option is: 4.

<u>Step-by-step explanation:</u>

We are given the following two functions and we are to find the value of ( f - g ) ( 5 ):

f(x) = x^2 - 5

g(x) = 4x - 4

Finding ( f - g ) ( x ):

( f - g ) ( x ) = (x^2-5)-(4x-4) = x^2-4x-5+4

( f - g ) ( x ) = x^2-4x-1

So, ( f - g ) ( 5 ) = (5)^2-4(5)-1 = 4

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. Ms. Johnson, a circus ringleader, made a cake in the shape of a circus tent to use as the centerpiece at a celebration. As sho
Effectus [21]
The formula for the volume of a cylinder is V=πr²h.  Substituting the information we have, we get 1470=(3.14)(6²)<span>h
</span>1470=113.04h
Divide both sides by 113.04:
1470/113.04 = 113.04h/113.04
13 ≈ h
The height of the cylinder is 13 inches.  We know that the height of the cone is 1/2 the height of the cylinder; 1/2(13) = 6.5 inches.  The formula for the volume of a cone is:
V=1/3πr²h
The cone and the cylinder have the same radius, and we now know that the height of the cone is 6.5.  Substituting this information in we have:
V=1/3(3.14)(6²)(6.5) = 244.92 in³
The total volume of the cake would be the volume of the cylinder added to the volume of the cone:
1470+244.92 = 1714.92 in³.

The formula for the volume of a sphere, for the ball cake, is 
<em /><em>V</em>=4/3πr³.  Using the radius of 3 we have:
<span><em>V</em>=4/3(3.14)(3</span>³)=113.04 for the volume of the circus ball cake.
The formula for the area of the cone-shaped hat cake is <em>V</em>=1/3π<em>r</em>²<em>h</em>.  We want it to have the same volume as the circus ball cake, and we know the radius is still 3:
<em />113.04=1/3(3.14)(3²)<em>h</em>
This simplifies to
113.04=9.42<em>h</em>
Divide both sides by 9.42:
113.04/9.42 = 9.42<em>h</em>/9.42
The hat cake would have to have a height of 12 inches to have the same volume.
6 0
3 years ago
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