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erik [133]
3 years ago
12

Domain of (x+8)/(x(x+10))

Computers and Technology
1 answer:
UkoKoshka [18]3 years ago
5 0
The domain of this, assuming it's a function, is all real numbers such that x does not equal zero or negative ten.

In interval notation, this is (-∞, -10) U (-10, 0) U (0, <span>∞).

In set builder notation, this is {x | x </span>≠ -10, x <span>≠ 0}.

These inputs are excluded from the domain because they would otherwise allow division by zero. Try plugging in one of the restricted inputs. You'll see that it does not work! On a graph of this </span>function, you will see vertical asymptotes. 

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6. Consider a circle of diameter d cm.
blagie [28]

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Area of Circle is \pi d^{2} /4

Total percentage increase in the area of the modified circle is 69%

Explanation:

(a)  Given the diameter of the circle be d

Then the radius of the circle = r = d/2

and the area of the circle is given by:

 

Area(A) = \pi r^{2}  

A = \pi (d/2)^{2}

A = \pi d^{2} /4

The area of circle is \pi d^{2} /4

(b)

The increase in percentage while changing the dimensions is given by the formula  :

Total % increase = a% + b% - (a% * b%)/100

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a% is the percentage increase in side a

b% is the percentage increase  in side b

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Total increase % = a% + a% + (a% * a%)/100

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