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Strike441 [17]
3 years ago
11

Simplify 3/15 - 2/25

Mathematics
1 answer:
Alik [6]3 years ago
4 0
Make the denominators equal by multiplying them:
\frac{18}{75}  -  \frac{6}{75}
Subtract:
\frac{12}{75}
Simplify:
\frac{4}{25}
The answer is
\frac{4}{25}
or 0.16
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Step-by-step explanation:

When plugging in zero into the given equation:

\lim_{x \rightarrow 0}    \frac{\sqrt{x + 7} -  \sqrt{7}  }{x} =  \frac{0}{0}

Answer is in indeterminate form = use L'Hospital's Rule:

(Derivative of the top / Derivative of the bottom)

\lim_{x \rightarrow 0}  \frac{ \frac{1}{2} (x + 7)^{ \frac{-1}{2}} - 0 }{1}

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Plug zero back into equation:

\lim_{x \rightarrow 0}  \frac{1}{2 \sqrt{x + 7} }  =  \frac{1}{2 \sqrt{0 + 7} } =  \frac{1}{2 \sqrt{7} }

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\lim_{x \rightarrow 0}    \frac{\sqrt{x + 7} -  \sqrt{7}  }{x} = \frac{1}{2 \sqrt{7} }

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%2018%20%3C%200" id="TexFormula1" title=" {x}^{2} - 18 &lt; 0" alt
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Answer

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Step-by-step explanation:

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  2. Critical values:-sqrt18 and sqrt18
  3. Use number line or graphical method
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