Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
185501	Find the Domain and Range	f(x) = square root of 2+x-x^2	$f (x) = \sqrt{2 + x - x^{2}}$
185502	Factor	P(x)=x^3-4x^2-19x-14	$P (x) = x^{3} - 4 x^{2} - 19 x - 14$
185503	Factor	-24x+x^5+2x^3	$- 24 x + x^{5} + 2 x^{3}$
185504	Graph Using a Table of Values	y=6(1/3)^x	$y = 6 {(\frac{1}{3})}^{x}$
185505	Solve for x	8(x/4-6)>=4	$8 (\frac{x}{4} - 6) \geq 4$
185506	Graph	Graph y=4x-9	Graph $y = 4 x - 9$
185507	Solve the System of Equations	y=3x-6 y=-1/2x+8	$y = 3 x - 6$ $y = - \frac{1}{2} x + 8$
185508	Solve for x	(x+4)^2-4=16	${(x + 4)}^{2} - 4 = 16$
185509	Convert to Polar	x^2+(y+5)^2=25	$x^{2} + {(y + 5)}^{2} = 25$
185510	Solve for x	a/(x+b)=c	$\frac{a}{x + b} = c$
185511	Solve for x	(ax)/b+(cx)/d=e	$\frac{a x}{b} + \frac{c x}{d} = e$
185512	Solve for x	x+1/x=13/6	$x + \frac{1}{x} = \frac{13}{6}$
185513	Find the x and y Intercepts	f(x)=-1/(x-4)+3	$f (x) = \frac{- 1}{x - 4} + 3$
185514	Find the Inverse	f(x)=4x^(2/5)	$f (x) = 4 x^{\frac{2}{5}}$
185515	Solve for x	2.5(4x+2)=12x	$2.5 (4 x + 2) = 12 x$
185516	Simplify	(2x-1)/(x^2-x)+1/(x-1)	$\frac{2 x - 1}{x^{2} - x} + \frac{1}{x - 1}$
185517	Solve for x	6000(2.67)^(0.03x)=12000	$6000 {(2.67)}^{0.03 x} = 12000$
185518	Solve the System of Equations	-7x-y=0 7x+8y=-6	$- 7 x - y = 0$ $7 x + 8 y = - 6$
185519	Simplify	6-7n-2n-8	$6 - 7 n - 2 n - 8$
185520	Evaluate	(9!4!)/(7!2!)	$\frac{9! \cdot 4!}{7! \cdot 2!}$
185521	Convert to Rectangular	theta=-(5pi)/6	$θ = - \frac{5 π}{6}$
185522	Simplify	z(5z-3)-2z	$z (5 z - 3) - 2 z$
185523	Factor	(a+x)^2-2(a+x)(x+y)+(x+y)^2	${(a + x)}^{2} - 2 (a + x) (x + y) + {(x + y)}^{2}$
185524	Solve for x	x/a-2x=c	$\frac{x}{a} - 2 x = c$
185525	Solve for x	(x^2)/(a^2)-(y^2)/(b^2)=1	$\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$
185526	Evaluate the Function	g(p)=4^x , x=3/2	$g (p) = 4^{x}$ , $x = \frac{3}{2}$
185527	Evaluate	1010+10+22^2	$10 \cdot 10 + 10 + 2 \cdot 2^{2}$
185528	Simplify	(5x^2+5x-100)/(x^5-2x^4-8x^3)*(x^2-4)/(15x-30)	$\frac{5 x^{2} + 5 x - 100}{x^{5} - 2 x^{4} - 8 x^{3}} \cdot \frac{x^{2} - 4}{15 x - 30}$
185529	Solve for θ	sec(theta)=- square root of 2	$\sec (θ) = - \sqrt{2}$
185530	Find the x and y Intercepts	f(x)=(2x^2+17x+30)/(2x^2-18)	$f (x) = \frac{2 x^{2} + 17 x + 30}{2 x^{2} - 18}$
185531	Solve the System of Inequalities	9-4x>=5 or 4(-1+x)-6>=2	$9 - 4 x \geq 5$ or $4 (- 1 + x) - 6 \geq 2$
185532	Expand the Logarithmic Expression	log of ( square root of xz)/(y^3)	$\log (\frac{\sqrt{x} z}{y^{3}})$
185533	Write the Fraction in Simplest Form	arctan(tan((4pi)/5))	$\arctan (\tan (\frac{4 π}{5}))$
185534	Graph	f(x)=x+3 if x<-2; x-3 if x>=-2	$f (x) = {\begin{cases} x + 3 & x < - 2 \\ x - 3 & x \geq - 2 \end{cases}$
185535	Solve the Inequality for x	81-x^2<=0	$81 - x^{2} \leq 0$
185536	Solve the Inequality for c	\|4c+5\|>7	$\| 4 c + 5 \| > 7$
185537	Find the x and y Intercepts	(x^2+4x)/(2x^2-5x)	$\frac{x^{2} + 4 x}{2 x^{2} - 5 x}$
185538	Solve for x	2/3x+1/2=5/6	$\frac{2}{3} x + \frac{1}{2} = \frac{5}{6}$
185539	Solve for x	6x+1/4(4x+8)>12	$6 x + \frac{1}{4} (4 x + 8) > 12$
185540	Find the Exact Value	3 square root of 216	$3 \sqrt{216}$
185541	Graph Using a Table of Values	y=3^(x-3)+2	$y = 3^{x - 3} + 2$
185542	Evaluate	(4+x)^2	${(4 + x)}^{2}$
185543	Find the Domain and Range	xy^2=16	$x y^{2} = 16$
185544	Graph Using a Table of Values	2^(-x)	$2^{- x}$
185545	Convert to Interval Notation	x<-1 and x<1	$x < - 1$ and $x < 1$
185546	Find the Domain and Range	f^-1(x)=e^x-3	$f^{- 1} (x) = e^{x} - 3$
185547	Simplify	1/2+(3/8-1/8)^2	$\frac{1}{2} + {(\frac{3}{8} - \frac{1}{8})}^{2}$
185548	Solve for n	(4+8)+6=(6+4)+n	$(4 + 8) + 6 = (6 + 4) + n$
185549	Evaluate	15% of 20	$15 %$ of $20$
185550	Find the Roots (Zeros)	2x^5-3x^3-20x=0	$2 x^{5} - 3 x^{3} - 20 x = 0$
185551	Graph	r+5>=12 or r/9<0	$r + 5 \geq 12$ or $\frac{r}{9} < 0$
185552	Evaluate	21x+7>2(9x-8)+3-7x	$21 x + 7 > 2 (9 x - 8) + 3 - 7 x$
185553	Solve for x	(3x+2)^2+2=3	${(3 x + 2)}^{2} + 2 = 3$
185554	Factor	2x^3+5x^2+x-2	$2 x^{3} + 5 x^{2} + x - 2$
185555	Graph	2y=f(x)	$2 y = f (x)$
185556	Simplify	(4x^2y^3)^-2(-x^10)^2	${(4 x^{2} y^{3})}^{- 2} {(- x^{10})}^{2}$
185557	Find the Distance Between Two Points	(5,-5) and (8,-8)	$(5, - 5)$ and $(8, - 8)$
185558	Solve for x	log base x+1 of 2x^2-7x+9=2	$\log_{x + 1} (2 x^{2} - 7 x + 9) = 2$
185559	Simplify	1/(x+3)+1/(x^2-9)	$\frac{1}{x + 3} + \frac{1}{x^{2} - 9}$
185560	Solve for y	-12+8yi=3x-i	$- 12 + 8 y i = 3 x - i$
185561	Solve for a	S=2(ab+ax)	$S = 2 (a b + a x)$
185562	Solve for x	6^(-x)+4=3x-1	$6^{- x} + 4 = 3 x - 1$
185563	Graph Using a Table of Values	f(x)=1/(x-4)	$f (x) = \frac{1}{x - 4}$
185564	Solve the Inequality for x	(x-2)(x+7)(x-15)>0	$(x - 2) (x + 7) (x - 15) > 0$
185565	Simplify	((j^2j^5)/(j^4))^3	${(\frac{j^{2} j^{5}}{j^{4}})}^{3}$
185566	Solve the Inequality for x	-x-1+2x>9-7x+5	$- x - 1 + 2 x > 9 - 7 x + 5$
185567	Simplify	(3x^2-2)/(3x-2)-x/(2-3x)	$\frac{3 x^{2} - 2}{3 x - 2} - \frac{x}{2 - 3 x}$
185568	Simplify	(a^2)/(ab)	$\frac{a^{2}}{a b}$
185569	Graph	y=5/2sin(2x)	$y = \frac{5}{2} \sin (2 x)$
185570	Find the Exact Value	limit as x approaches 0 of (sin(x))/x	$lim_{x \to 0} \frac{\sin (x)}{x}$
185571	Solve for m	5/m=8/(2m-6)	$\frac{5}{m} = \frac{8}{2 m - 6}$
185572	Simplify	y+(y-3)/3	$y + \frac{y - 3}{3}$
185573	Evaluate	(10^2)/(-2^2)	$\frac{10^{2}}{- 2^{2}}$
185574	Evaluate	7-1/2(0)^2	$7 - \frac{1}{2} {(0)}^{2}$
185575	Simplify	2/((-5/x)^2-7)	$\frac{2}{{(- \frac{5}{x})}^{2} - 7}$
185576	Divide	(4x)÷2	$4 x \div 2$
185577	Find the x and y Intercepts	y=(x+1)^2-7(x+1)+12	$y = {(x + 1)}^{2} - 7 (x + 1) + 12$
185578	Factor	10x^8y^2+80x^2y^5	$10 x^{8} y^{2} + 80 x^{2} y^{5}$
185579	Simplify	(1/9-1/(x^2))/(3+9/x)	$\frac{\frac{1}{9} - \frac{1}{x^{2}}}{3 + \frac{9}{x}}$
185580	Solve for x	-x^2+9>0	$- x^{2} + 9 > 0$
185581	Simplify	(5+5i)/(5-2i)	$\frac{5 + 5 i}{5 - 2 i}$
185582	Solve for x	3\|2x+5\|=9x-6	$3 \| 2 x + 5 \| = 9 x - 6$
185583	Find the x and y Intercepts	(2x-4)/(x^2-4)	$\frac{2 x - 4}{x^{2} - 4}$
185584	Solve the Inequality for x	square root of x<6	$\sqrt{x} < 6$
185585	Solve for n	-1/2(2n+4)+6=-9+4(2n+1) ?	$- \frac{1}{2} (2 n + 4) + 6 = - 9 + 4 (2 n + 1)$ ?
185586	Find the x and y Intercepts	f(x)=2-4x^3-3x+x^2	$f (x) = 2 - 4 x^{3} - 3 x + x^{2}$
185587	Simplify	(1/x-1)/(x-1)	$\frac{(\frac{1}{x} - 1)}{x - 1}$
185588	Simplify	(4x^3+24x^2-64x)/(x^2+3x-10)*(x^2-25)/(6x^4+18x^3-240x^2)	$\frac{4 x^{3} + 24 x^{2} - 64 x}{x^{2} + 3 x - 10} \cdot \frac{x^{2} - 25}{6 x^{4} + 18 x^{3} - 240 x^{2}}$
185589	Find the Exact Value	3/4+3/4	$\frac{3}{4} + \frac{3}{4}$
185590	Graph	y=x-4 x+2y=16	$y = x - 4$ $x + 2 y = 16$
185591	Graph	y-5<3x-4	$y - 5 < 3 x - 4$
185592	Solve the Inequality for x	4(x+3)<=44	$4 (x + 3) \leq 44$
185593	Solve for x	x/5+x/a=c	$\frac{x}{5} + \frac{x}{a} = c$
185594	Evaluate	pi÷6	$π \div 6$
185595	Simplify	2^2*4^2	$2^{2} \cdot 4^{2}$
185596	Solve for d	3+4d-14=15-5d-4d	$3 + 4 d - 14 = 15 - 5 d - 4 d$
185597	Graph	6y^2-12x=0	$6 y^{2} - 12 x = 0$
185598	Find the Exact Value	2/5m-4/5-3/5m	$\frac{2}{5} m - \frac{4}{5} - \frac{3}{5} m$
185599	Solve the Inequality for x	(x-3)/(x+1)<0	$\frac{x - 3}{x + 1} < 0$
185600	Solve the Inequality for c	c-3>6	$c - 3 > 6$