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frutty [35]
2 years ago
12

If f(x) = 2x+4, which of the following is the inverse of f(x)?

Mathematics
1 answer:
Mrrafil [7]2 years ago
4 0

By definition of inverse function,

f\left(f^{-1}(x)\right) = x

Given that f(x) = 2x + 4, solve for the inverse of f :

f\left(f^{-1}(x)\right) = 2 f^{-1}(x) + 4 = x \implies f^{-1}(x) = \dfrac{x-4}2

(I'm not entirely sure which answer that corresponds to from the choices provided...)

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Step-by-step explanation:

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2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3.
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Larger PyramidHeight 24 Volume 648

Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27

Slant Height^2 = 4.5^2 + 24^2Slant Height^2 = <span> <span> 596.25 </span> </span> <span><span>Slant Height^2 = 24.4182308941 </span> </span>
b)
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Large Pyramid TOTAL Area = <span> <span> 520.5281560938 </span> </span> <span>Large Pyramid LATERAL Area =<span> 439.5281560938 </span> </span>


**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters

d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity.  The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27

Source : http://www.1728.org/volpyrmd.htm

3 0
3 years ago
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The answer would be A 4.2x3.7
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Paul started work at company b ten years ago at the salary of 30,000 starting year and 2400 for yearly salary increase at the sa
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Sharla, earned 2,000 more than Paul

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3 years ago
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user100 [1]

Answer:

Direct variation

Step-by-step explanation:

It's not iverse because the line is curved so it's direct variation

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