Category: Algebra

Question Number 198449 by hardmath last updated on 20/Oct/23 Commented by mr W last updated on 20/Oct/23 $$ifyou,yourbrotherandyoursister$$$$totallyget375\mathrm{\$}moneyfromyour$$$$parentsfor3monthes,canyou$$$${determine}\:{how}\:{much}\:{money}\:{each}\:{of} \…

Question Number 198474 by cortano12 last updated on 20/Oct/23 $$16000=\frac{{\mathrm{x}}^3}{{(1-\mathrm{x})}^2}$$$$\mathrm{x}=?$$ Answered by Frix last updated on 20/Oct/23 $${n}=\frac{{x}^{\mathrm{3}} }{\left(\mathrm{1}−{x}\right)^{\mathrm{2}}…

Question Number 198435 by Abdullahrussell last updated on 20/Oct/23 Answered by Rasheed.Sindhi last updated on 20/Oct/23 $$2\mathrm{\&}5make0[2\times 5=10]$$$$\mathcal{T}herearemore{2}^{\prime }sthan{5}^{\prime }s$$$$\therefore Numberoftrailingzeros$$$$=Numberof{5}^{\prime }sasafactor$$$${Counting}\:\mathrm{5}'{s}:…

Question Number 198431 by hardmath last updated on 19/Oct/23 $$\mathrm{f}:\mathbb{R}\to \mathbb{R}$$$$\mathrm{f}(3\mathrm{x}-1)=\mathrm{x}+5$$$$\mathrm{Find}:\mathrm{f}\left(\mathrm{x}\right)=?$$ Answered by AST last updated on 20/Oct/23 $${f}\left[\mathrm{3}\left(\frac{{x}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{3}}\right)−\mathrm{1}\right]=\frac{{x}+\mathrm{1}}{\mathrm{3}}+\mathrm{5}\Rightarrow{f}\left({x}\right)=\frac{{x}+\mathrm{16}}{\mathrm{3}} \…

Question Number 198367 by universe last updated on 18/Oct/23 $$\mathrm{if}\mathrm{f}\left(\mathrm{x}\right)=\frac{x^2-(b+1)x+b}{x^2-(a+1)x+a}(a\ne b\mathrm{\&}a,b\in \mathbb{R}\sim \left\{1\right\})$$$$\mathrm{can}\mathrm{take}\mathrm{all}\mathrm{values}\mathrm{except}\mathrm{two}\mathrm{values}\alpha \mathrm{\&}\beta$$$$\mathrm{such}\mathrm{that}\alpha +\beta =0\mathrm{then}\mid \frac{{\mathrm{a}}^3+{\mathrm{b}}^3-8}{\mathrm{ab}}\mid =??$$ Commented by Frix last updated…