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SIZIF [17.4K]
3 years ago
15

Who could help me with this please and thank you

Mathematics
1 answer:
kkurt [141]3 years ago
4 0

Answer:

Step-by-step explanation:

let the number be x

so according to the question ur equation is

4x=5<x^2

4x-5=x^2

4-5=x^2/x

-1=x

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Simplify the rational expression. State any restrictions on the variable.
ExtremeBDS [4]

we are given

\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}

Firstly, we will factor numerators and denominators

\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-6)(n^2-4)}{(n^2-3)(n^2-6)}

we can see that

n^2 -6 is factor on both numerator and denominator

so, it will get cancelled

and n^2 -6 can not be equal to 0

so, one of restriction is

n^2-6\neq 0

n\neq -+ \sqrt{6}

we can simplify it

\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-4)}{(n^2-3)}

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so, option-B.......Answer

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3 years ago
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In a rational function, is the horizontal shift represented by the vertical asymptote?
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<h3>Short Answer: Yes, the horizontal shift is represented by the vertical asymptote</h3>

A bit of further explanation:

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Shifting the function h units to the right (h is some positive number), then we end up with 1/(x-h) and we see that x = h leads to the denominator being zero. So the vertical asymptote is x = h

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