Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
198501	Solve the System of Inequalities	-9x+2>18 ; AND , 13x+15<=-4	$- 9 x + 2 > 18$ ; AND , $13 x + 15 \leq - 4$
198502	Find All Complex Solutions	cos(x)csc(x)=2cos(x)	$\cos (x) \csc (x) = 2 \cos (x)$
198503	Graph	x<=1 or x>8	$x \leq 1$ or $x > 8$
198504	Solve for t	3(t+4)-2(2t+3)=-4	$3 (t + 4) - 2 (2 t + 3) = - 4$
198505	Simplify	(y^2*y^-1)^(4/3)	${(y^{2} \cdot y^{- 1})}^{\frac{4}{3}}$
198506	Simplify	sin(75 degrees )	$\sin (75 °)$
198507	Solve the Inequality for x	-x>6x-(-1/2x+1)-3	$- x > 6 x - (- \frac{1}{2} x + 1) - 3$
198508	Simplify	square root of 591x^15y^3* square root of 591x^15y^3	$\sqrt{591 x^{15} y^{3}} \cdot \sqrt{591 x^{15} y^{3}}$
198509	Solve for x	2/(x+2)+x/(x-2)=1	$\frac{2}{x + 2} + \frac{x}{x - 2} = 1$
198510	Find the Domain and Range	f(x)=7+ square root of 3x-6	$f (x) = 7 + \sqrt{3 x - 6}$
198511	Solve for x	4^(2x)+1=17	$4^{2 x} + 1 = 17$
198512	Simplify	3^( square root of 5+1)*3^(3- square root of 5)	$3^{\sqrt{5} + 1} \cdot 3^{3 - \sqrt{5}}$
198513	Graph	f(x)=1/2x^2 if x<1; 2x-1 if x>=1	$f (x) = {\begin{cases} \frac{1}{2} x^{2} & x < 1 \\ 2 x - 1 & x \geq 1 \end{cases}$
198514	Simplify	(7^87^37^4)/(7^9*7^5)	$\frac{7^{8} \cdot 7^{3} \cdot 7^{4}}{7^{9} \cdot 7^{5}}$
198515	Solve for y	4y+7+3y+5=180	$4 y + 7 + 3 y + 5 = 180$
198516	Solve for X	3(2x-5)=45+4X	$3 (2 x - 5) = 45 + 4 X$
198517	Solve for x	( log base 3 of x)^2-3 log base 3 of x=10	${\log_{3}}^{2} (x) - 3 \log_{3} (x) = 10$
198518	Solve Using the Quadratic Formula	(x^2+1)^2+3(x^2+1)-10=0	${(x^{2} + 1)}^{2} + 3 (x^{2} + 1) - 10 = 0$
198519	Find the Domain and Range	s(x)=(6x-12)/((x-6)(x+1))	$s (x) = \frac{6 x - 12}{(x - 6) (x + 1)}$
198520	Graph	g(x)=\|3/7(x-4)\|+2	$g (x) = \| \frac{3}{7} (x - 4) \| + 2$
198521	Solve the System of Equations	y=3x-2 y-2=x	$y = 3 x - 2$ $y - 2 = x$
198522	Graph	y=1/2cos(2x+pi/2)	$y = \frac{1}{2} \cos (2 x + \frac{π}{2})$
198523	Identify the Zeros and Their Multiplicities	f(x)=(x+1)(x-1)^2(x-2)	$f (x) = (x + 1) {(x - 1)}^{2} (x - 2)$
198524	Graph	y>x^2+x-6	$y > x^{2} + x - 6$
198525	Graph	y< = square root of x-1-4	$y \leq \sqrt{x - 1} - 4$
198526	Solve the Inequality for x	-4/5>=-1-(2x+4)+5x	$- \frac{4}{5} \geq - 1 - (2 x + 4) + 5 x$
198527	Factor	3am^2-3an^2	$3 a m^{2} - 3 a n^{2}$
198528	Simplify	x/(x^2+4x)+2/(x^2)	$\frac{x}{x^{2} + 4 x} + \frac{2}{x^{2}}$
198529	Divide	(p^-4q^5r^6)/(p^-3qr^-2)	$\frac{p^{- 4} q^{5} r^{6}}{p^{- 3} q r^{- 2}}$
198530	Solve Using the Quadratic Formula	-3x+19=-x^2+1	$- 3 x + 19 = - x^{2} + 1$
198531	Factor	2(x+2y)^2+7x(x+2y)+5x^2	$2 {(x + 2 y)}^{2} + 7 x (x + 2 y) + 5 x^{2}$
198532	Solve the Absolute Value Inequality for x	\|x\|+3=0	$\| x \| + 3 = 0$
198533	Graph	y=3/2cos(2x+pi)	$y = \frac{3}{2} \cos (2 x + π)$
198534	Graph	f(x)=6sin(pi/2x)	$f (x) = 6 \sin (\frac{π}{2} x)$
198535	Solve for r	p=(10(q-3r))/r	$p = \frac{10 (q - 3 r)}{r}$
198536	Find the Domain and Range	y=1/2x+3	$y = \frac{1}{2} x + 3$
198537	Find the Inverse	F(x)=7/x-9	$F (x) = \frac{7}{x} - 9$
198538	Evaluate	-sec(0)^2	$- \sec^{2} (0)$
198539	Divide	(8y^7)÷4y^5	$8 y^{7} \div 4 y^{5}$
198540	Evaluate	1/4(c^3+d^2)	$\frac{1}{4} (c^{3} + d^{2})$
198541	Evaluate	(3(1/2)^2)/((1/2)^2-1)	$\frac{3 {(\frac{1}{2})}^{2}}{{(\frac{1}{2})}^{2} - 1}$
198542	Solve for x	(x+3)/3=5-(x-3)/6	$\frac{x + 3}{3} = 5 - \frac{x - 3}{6}$
198543	Subtract	(3x^2)/(x-3)-(x^2)/(x-3)	$\frac{3 x^{2}}{x - 3} - \frac{x^{2}}{x - 3}$
198544	Simplify	(x+2)/(x-3)*4/(x+2)	$\frac{x + 2}{x - 3} \cdot \frac{4}{x + 2}$
198545	Solve for x	-8/(2x+6)+2=-4/(x+3)	$- \frac{8}{2 x + 6} + 2 = - \frac{4}{x + 3}$
198546	Find the Excluded Values	1/(x-4)+1/(x+3)=1/(x^2-x-12)	$\frac{1}{x - 4} + \frac{1}{x + 3} = \frac{1}{x^{2} - x - 12}$
198547	Simplify	(1+ square root of 2)(1+ square root of 2- square root of 3)	$(1 + \sqrt{2}) (1 + \sqrt{2} - \sqrt{3})$
198548	Simplify	(2+ square root of 3)^2-(2- square root of 3)^2	${(2 + \sqrt{3})}^{2} - {(2 - \sqrt{3})}^{2}$
198549	Evaluate	(f+g)(-5)	$(f + g) (- 5)$
198550	Simplify the Radical Expression	square root of 39y^9	$\sqrt{39 y^{9}}$
198551	Write as a Single Logarithm	log base b of x-( log base b of y+ log base b of z)	$\log_{b} (x) - (\log_{b} (y) + \log_{b} (z))$
198552	Find the End Behavior	f(x)=460x-10x^4-40x^3-1680+310x^2	$f (x) = 460 x - 10 x^{4} - 40 x^{3} - 1680 + 310 x^{2}$
198553	Solve the System of Equations	y=x^2-5x+3 y=x-6	$y = x^{2} - 5 x + 3$ $y = x - 6$
198554	Simplify	(9x-x^3)/(x^4-x^3-6x^2)	$\frac{9 x - x^{3}}{x^{4} - x^{3} - 6 x^{2}}$
198555	Graph	y<2x-1 y>=-2x+3	$y < 2 x - 1$ $y \geq - 2 x + 3$
198556	Find the Domain and Range	y=tan(2x-pi)	$y = \tan (2 x - π)$
198557	Solve for θ	csc(theta)+1=0	$\csc (θ) + 1 = 0$
198558	Describe the Transformation	4f(x)	$4 f (x)$
198559	Find the Inverse	y = square root of x+2-3	$y = \sqrt{x + 2} - 3$
198560	Solve for m	m^2-2/3m=1/3	$m^{2} - \frac{2}{3} m = \frac{1}{3}$
198561	Find the Axis of Symmetry	2x^2-12x+28y=38	$2 x^{2} - 12 x + 28 y = 38$
198562	Find the Product	(4x square root of 5x^2+2x^2 square root of 6)^2	${(4 x \sqrt{5 x^{2}} + 2 x^{2} \sqrt{6})}^{2}$
198563	Solve for x	(x-3)/10+(x+1)/4=2x-5	$\frac{x - 3}{10} + \frac{x + 1}{4} = 2 x - 5$
198564	Simplify	-6x^2-2x+5 from 2x^2+8	$- 6 x^{2} - 2 x + 5$ from $2 x^{2} + 8$
198565	Divide	((y^2-36)/(y^2-49))÷((y+6)/(y+7))	$\frac{y^{2} - 36}{y^{2} - 49} \div \frac{y + 6}{y + 7}$
198566	Simplify	csc(x)-cos(x)^2csc(x)	$\csc (x) - \cos^{2} (x) \csc (x)$
198567	Evaluate	2x-3+4x=27	$2 x - 3 + 4 x = 27$
198568	Solve the System of Equations	1/m+1/n=5 2/m+3/n=12	$\frac{1}{m} + \frac{1}{n} = 5$ $\frac{2}{m} + \frac{3}{n} = 12$
198569	Find f(g(x))	f(x)=x^2-1 , g(x)=2x-3	$f (x) = x^{2} - 1$ , $g (x) = 2 x - 3$
198570	Simplify	(d^2-e^2)/(7d+7e)	$\frac{d^{2} - e^{2}}{7 d + 7 e}$
198571	Solve for x	x/(x+1)+5/(x-1)=1	$\frac{x}{x + 1} + \frac{5}{x - 1} = 1$
198572	Graph	-10>-x-5>-16	$- 10 > - x - 5 > - 16$
198573	Find the Holes in the Graph	f(x)=(x^2-3x)/(x^2-9)	$f (x) = \frac{x^{2} - 3 x}{x^{2} - 9}$
198574	Solve for c	-3x+2c=-3	$- 3 x + 2 c = - 3$
198575	Find the Quotient	(3x^2-2x+5)÷(x-1)	$(3 x^{2} - 2 x + 5) \div (x - 1)$
198576	Simplify	i^13i^23i^9	$i^{13} \cdot i^{23} \cdot i^{9}$
198577	Factor	ab-ac	$a b - a c$
198578	Convert to Interval Notation	2(x-3)+5x<=9x-14	$2 (x - 3) + 5 x \leq 9 x - 14$
198579	Solve for x	1-2(1+3x-2(x+2)+3x)=-1	$1 - 2 (1 + 3 x - 2 (x + 2) + 3 x) = - 1$
198580	Factor	15ab+30a-45	$15 a b + 30 a - 45$
198581	Divide	(x^3+x^2+x+2)÷(x^2-1)	$(x^{3} + x^{2} + x + 2) \div (x^{2} - 1)$
198582	Graph Using a Table of Values	f(x)=(6x+12)/(x^2+x-12)	$f (x) = \frac{6 x + 12}{x^{2} + x - 12}$
198583	Graph	y-y_1=m(x-x_1)	$y - y_{1} = m (x - x_{1})$
198584	Solve for x	6(x+3)=7.2x-2(-1.9x-6)	$6 (x + 3) = 7.2 x - 2 (- 1.9 x - 6)$
198585	Solve the Inequality for x	2x+3y>8	$2 x + 3 y > 8$
198586	Simplify	(( square root of 5)/2+3/4i)^2	${(\frac{\sqrt{5}}{2} + \frac{3}{4} i)}^{2}$
198587	Find All Complex Solutions	x^4+4x^3-3x^2-16x-4=0	$x^{4} + 4 x^{3} - 3 x^{2} - 16 x - 4 = 0$
198588	Solve the Inequality for x	(x^2(x+5)^3)/(3-x)<=0	$\frac{x^{2} {(x + 5)}^{3}}{(3 - x)} \leq 0$
198589	Evaluate	square root of x+10-1=x	$\sqrt{x + 10} - 1 = x$
198590	Simplify	2 log base 4 of 9- log base 2 of 3	$2 \log_{4} (9) - \log_{2} (3)$
198591	Solve for x	2x-1-(3x+3)/2=(2x-5)/14	$2 x - 1 - \frac{3 x + 3}{2} = \frac{2 x - 5}{14}$
198592	Solve the System of Equations	2x+2y+5z=-1 2x-y+z=2 2x+4y-3z=14	$2 x + 2 y + 5 z = - 1$ $2 x - y + z = 2$ $2 x + 4 y - 3 z = 14$
198593	Write in Standard Form	3c(2c+2)=9	$3 c (2 c + 2) = 9$
198594	Evaluate	10+4(3+2)+5+(12÷6)	$10 + 4 (3 + 2) + 5 + (12 \div 6)$
198595	Graph	yy<=-1/3x-1	$y \cdot y \leq - \frac{1}{3} x - 1$
198596	Find the Domain and Range	s(y)=(3y)/(y+5)	$s (y) = \frac{3 y}{y + 5}$
198597	Factor	4(3x-2)^2-9(x-1)^2	$4 {(3 x - 2)}^{2} - 9 {(x - 1)}^{2}$
198598	Factor	3x^(3/2)-9x^(1/2)+6x^(-1/2)	$3 x^{\frac{3}{2}} - 9 x^{\frac{1}{2}} + 6 x^{\frac{- 1}{2}}$
198599	Solve for x	(2x+8)/9+(x+1)/6=2x-7	$\frac{2 x + 8}{9} + \frac{x + 1}{6} = 2 x - 7$
198600	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-4+6x^5-2x^3+2x^4-10x^2	$f (x) = - 4 + 6 x^{5} - 2 x^{3} + 2 x^{4} - 10 x^{2}$