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AnnZ [28]
2 years ago
8

Pls help ASAP math help

Mathematics
1 answer:
Alisiya [41]2 years ago
6 0

Answer:

$13.30

Step-by-step explanation:

The discount itself would be $6.65 because 1/3 time $19.95 equals $6.65

then to find the total price after discount you subtract,

$19.95 minus $6.65

final answer is $13.30

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STatiana [176]

Rationalize the numerator:

\dfrac{\sqrt{x+4}-2}x\cdot\dfrac{\sqrt{x+4}+2}{\sqrt{x+4}+2}=\dfrac{(\sqrt{x+4})^2-2^2}{x(\sqrt{x+4}+2)}=\dfrac x{x(\sqrt{x+4}+2)}=\dfrac1{\sqrt{x+4}+2}

This is continuous at x=0, so we can evaluate the limit directly by substitution:

\displaystyle\lim_{x\to0}\frac{\sqrt{x+4}-2}x=\lim_{x\to0}\frac1{\sqrt{x+4}+2}=\frac1{\sqrt4+2}=\frac14

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