Evaluate
\frac{3x}{50}+\frac{24}{x}
Expand
\frac{3x}{50}+\frac{24}{x}
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0.06x^{2}\times \frac{1}{x}+24\times \frac{1}{x}
Use the distributive property to multiply 0.06x^{2}+24 by \frac{1}{x}.
0.06\times \frac{x^{2}}{x}+24\times \frac{1}{x}
Express x^{2}\times \frac{1}{x} as a single fraction.
0.06x+24\times \frac{1}{x}
Cancel out x in both numerator and denominator.
0.06x+\frac{24}{x}
Express 24\times \frac{1}{x} as a single fraction.
0.06x^{2}\times \frac{1}{x}+24\times \frac{1}{x}
Use the distributive property to multiply 0.06x^{2}+24 by \frac{1}{x}.
0.06\times \frac{x^{2}}{x}+24\times \frac{1}{x}
Express x^{2}\times \frac{1}{x} as a single fraction.
0.06x+24\times \frac{1}{x}
Cancel out x in both numerator and denominator.
0.06x+\frac{24}{x}
Express 24\times \frac{1}{x} as a single fraction.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}