Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
193701	Graph	{y\|y>0}	${y \| y > 0}$
193702	Graph	y=x-(x)	$y = x - (x)$
193703	Graph	f(x)=2 if x=1	$f (x) = 2$ if $x = 1$
193704	Find the Domain and Range	f(x)=-1/2x	$f (x) = - \frac{1}{2} x$
193705	Solve by Factoring	6/x+(x-3)/4=2	$\frac{6}{x} + \frac{x - 3}{4} = 2$
193706	Solve for v	1/2mv^2=mgh	$\frac{1}{2} m v^{2} = mg h$
193707	Solve the Inequality for x	2(6x-10)<=31-3(5-3x)	$2 (6 x - 10) \leq 31 - 3 (5 - 3 x)$
193708	Graph	(x-9)/(7x+2)<=0	$\frac{x - 9}{7 x + 2} \leq 0$
193709	Find All Complex Solutions	2sin(x)^2+sin(x)=0	$2 \sin^{2} (x) + \sin (x) = 0$
193710	Factor	P(x)=x^4-10x^2+9	$P (x) = x^{4} - 10 x^{2} + 9$
193711	Solve for x	4-(7x+7)=3/2(-9x+2/3)+x	$4 - (7 x + 7) = \frac{3}{2} (- 9 x + \frac{2}{3}) + x$
193712	Simplify	square root of (a^4b^3)/(16c^4)	$\sqrt{\frac{a^{4} b^{3}}{16 c^{4}}}$
193713	Graph	y-4=3x^2+12x	$y - 4 = 3 x^{2} + 12 x$
193714	Graph	4x-6>=6x-20	$4 x - 6 \geq 6 x - 20$
193715	Simplify	(sin(t)^2+cos(t)^2)/(cos(t)^2)	$\frac{\sin^{2} (t) + \cos^{2} (t)}{\cos^{2} (t)}$
193716	Solve for t	32pit=64pi	$32 π t = 64 π$
193717	Graph	x^2+y^2<49 x^2+y^2>25	$x^{2} + y^{2} < 49$ $x^{2} + y^{2} > 25$
193718	Divide	4 2/5÷1 1/5	$4 \frac{2}{5} \div 1 \frac{1}{5}$
193719	Solve the Inequality for x	8\|x+3/4\|<2	$8 \| x + \frac{3}{4} \| < 2$
193720	Find the x and y Intercepts	f(x)=-4x^2-2x^6-x^5-7x^4	$f (x) = - 4 x^{2} - 2 x^{6} - x^{5} - 7 x^{4}$
193721	Solve for x	x/(x-1)-(3x)/(x^2+x-2)=4/(x+2)	$\frac{x}{x - 1} - \frac{3 x}{x^{2} + x - 2} = \frac{4}{x + 2}$
193722	Evaluate	f(x)=(1/5)^2	$f (x) = {(\frac{1}{5})}^{2}$
193723	Solve for x	27(3/5)^(x+1)=125	$27 {(\frac{3}{5})}^{x + 1} = 125$
193724	Simplify	i^24*i^47	$i^{24} \cdot i^{47}$
193725	Multiply	(-7/5ab^6)(-5b^5)	$(- \frac{7}{5} a b^{6}) (- 5 b^{5})$
193726	Find the Excluded Values	(x^2-4)/(4x^2-12x)*(2x+4)/(-x^2+5x-6)	$\frac{x^{2} - 4}{4 x^{2} - 12 x} \cdot \frac{2 x + 4}{- x^{2} + 5 x - 6}$
193727	Solve for x	2x^2-1>6x	$2 x^{2} - 1 > 6 x$
193728	Solve the Inequality for x	4-2(x+1)<18	$4 - 2 (x + 1) < 18$
193729	Solve the Absolute Value Inequality for x	3(x-4)>=5x+2	$3 (x - 4) \geq 5 x + 2$
193730	Simplify	((x^8)/(x^6))^(5/4)	${(\frac{x^{8}}{x^{6}})}^{\frac{5}{4}}$
193731	Simplify	(x-a)(x-b)	$(x - a) (x - b)$
193732	Simplify	((2e^7h^4)/(3e^2h^9))^-1((4e^2h^3)/(3eh^5))^2	${(\frac{2 e^{7} h^{4}}{3 e^{2} h^{9}})}^{- 1} {(\frac{4 e^{2} h^{3}}{3 e h^{5}})}^{2}$
193733	Solve for x	-1 1/2=3x-4 1/2	$- 1 \frac{1}{2} = 3 x - 4 \frac{1}{2}$
193734	Divide Using Synthetic Division	x^3+4x^2-43x-10 by x-5	$x^{3} + 4 x^{2} - 43 x - 10$ by $x - 5$
193735	Find the End Behavior	f(x)=-288+46x^2-4x^3-2x^4+48x	$f (x) = - 288 + 46 x^{2} - 4 x^{3} - 2 x^{4} + 48 x$
193736	Find All Complex Solutions	2sin(theta)-1=csc(theta)	$2 \sin (θ) - 1 = \csc (θ)$
193737	Solve for x	5-(x+7)+4x=7(x-1)	$5 - (x + 7) + 4 x = 7 (x - 1)$
193738	Solve for p	4/(\|p\|)+12=14	$\frac{4}{\| p \|} + 12 = 14$
193739	Simplify	(20/5)^3-10(3)^2	${(\frac{20}{5})}^{3} - 10 {(3)}^{2}$
193740	Subtract	1-(-1/2)	$1 - (- \frac{1}{2})$
193741	Graph	x^2+8x+15>=0	$x^{2} + 8 x + 15 \geq 0$
193742	Simplify the Radical Expression	3 fourth root of z*3z^(3/4)	$3 \sqrt[4]{z} \cdot 3 z^{\frac{3}{4}}$
193743	Find the x and y Intercepts	f(x)=x^6-2x^7+3x+3+6x^3	$f (x) = x^{6} - 2 x^{7} + 3 x + 3 + 6 x^{3}$
193744	Multiply	(m^3-m^2+m-2)(am+a)	$(m^{3} - m^{2} + m - 2) (a m + a)$
193745	Find the Domain and Range	f(x)=-1/2(x+1)^2-3	$f (x) = - \frac{1}{2} {(x + 1)}^{2} - 3$
193746	Simplify	(4xy^2+3x^2y^2-2x^2y+6)-(3xy^2+2x^2y+4x^2y^2-1)	$(4 x y^{2} + 3 x^{2} y^{2} - 2 x^{2} y + 6) - (3 x y^{2} + 2 x^{2} y + 4 x^{2} y^{2} - 1)$
193747	Solve for g	1/6g+4/9=g-1/9	$\frac{1}{6} g + \frac{4}{9} = g - \frac{1}{9}$
193748	Simplify	(2x+y)(4x^2-2xy+y^2)	$(2 x + y) (4 x^{2} - 2 x y + y^{2})$
193749	Find the Roots (Zeros)	y=(x-7)^2	$y = {(x - 7)}^{2}$
193750	Solve for y	-5x+7y=8x+7	$- 5 x + 7 y = 8 x + 7$
193751	Graph	x/3<=0	$\frac{x}{3} \leq 0$
193752	Solve for y	-4y+8=4(2y-2)-2(-16+8y)	$- 4 y + 8 = 4 (2 y - 2) - 2 (- 16 + 8 y)$
193753	Graph	F(x)=x^5+2x^4+3x	$F (x) = x^{5} + 2 x^{4} + 3 x$
193754	Simplify	(2x-i)^2-(2x-i)(2x+3i)	${(2 x - i)}^{2} - (2 x - i) (2 x + 3 i)$
193755	Solve Using the Square Root Property	2=4x^2-5	$2 = 4 x^{2} - 5$
193756	Simplify	(x^2-8x+12)/(x^2-16)*(4x+16)/(x^2-4x+4)	$\frac{x^{2} - 8 x + 12}{x^{2} - 16} \cdot \frac{4 x + 16}{x^{2} - 4 x + 4}$
193757	Solve for x	4^(x+1)+2^(x+3)=320	$4^{x + 1} + 2^{x + 3} = 320$
193758	Graph	y=x^3-3,x<2; x^2+6,x<=2	$y = {\begin{cases} x^{3} - 3, x < 2 \\ x^{2} + 6, x \leq 2 \end{cases}$
193759	Simplify	(1/2+i)(8-6i)	$(\frac{1}{2} + i) (8 - 6 i)$
193760	Solve for c	-2e^c+14=-6	$- 2 e^{c} + 14 = - 6$
193761	Solve the Inequality for x	-3/4x>=-5/6+2/3x	$- \frac{3}{4} x \geq - \frac{5}{6} + \frac{2}{3} x$
193762	Find the Exact Value	cos(45 degrees )^2	$\cos^{2} (45 °)$
193763	Solve for x	(e^(x^2))/(e^2)=e^(-x)	$\frac{e^{x^{2}}}{e^{2}} = e^{- x}$
193764	Graph	f(x)=1/2sin(x)+3	$f (x) = \frac{1}{2} \sin (x) + 3$
193765	Solve for x	x^2+(-( square root of 11)/6)^2=1^2	$x^{2} + {(- \frac{\sqrt{11}}{6})}^{2} = 1^{2}$
193766	Solve the System of Inequalities	102-73z>2z+2 81+11z>=1+z	$102 - 73 z > 2 z + 2$ $81 + 11 z \geq 1 + z$
193767	Solve for n	-n+ square root of 6n+19=2	$- n + \sqrt{6 n + 19} = 2$
193768	Simplify	(x^3+64)/(x^2-16)*(x^2+8x+16)/(x^2-4x+16)	$\frac{x^{3} + 64}{x^{2} - 16} \cdot \frac{x^{2} + 8 x + 16}{x^{2} - 4 x + 16}$
193769	Solve for y	y/6-2/3=3	$\frac{y}{6} - \frac{2}{3} = 3$
193770	Multiply	(-7a^5c^2)(2a^4bc^6)	$(- 7 a^{5} c^{2}) (2 a^{4} b c^{6})$
193771	Simplify	(-3p^3+5p^2-2p)+(-p^3-8p^2-15p)	$(- 3 p^{3} + 5 p^{2} - 2 p) + (- p^{3} - 8 p^{2} - 15 p)$
193772	Graph	y=x^2+4,x<=2; x+4,x>2	$y = {\begin{cases} x^{2} + 4, x \leq 2 \\ x + 4, x > 2 \end{cases}$
193773	Solve the Inequality for z	4-5z>=2	$4 - 5 z \geq 2$
193774	Simplify	5x(x+3)-2(x^2+3x-4)	$5 x (x + 3) - 2 (x^{2} + 3 x - 4)$
193775	Factor	-6x(-x+7)^(-4/5)-7(-x+7)^(1/5)	$- 6 x {(- x + 7)}^{- \frac{4}{5}} - 7 {(- x + 7)}^{\frac{1}{5}}$
193776	Solve Using the Quadratic Formula	p^2-16p+13=-3p^2	$p^{2} - 16 p + 13 = - 3 p^{2}$
193777	Find g(f(x))	f(x)=4x+5 and g(x)=4x^2-4x	$f (x) = 4 x + 5$ and $g (x) = 4 x^{2} - 4 x$
193778	Solve for x	4(0.5x-0.25)=6+x	$4 (0.5 x - 0.25) = 6 + x$
193779	Write as a Single Logarithm	log base 7 of 2+2 log base 7 of 6- log base 7 of 9	$\log_{7} (2) + 2 \log_{7} (6) - \log_{7} (9)$
193780	Write in Standard Form	(x^2-3x)+(-2x^2+5x-3)	$(x^{2} - 3 x) + (- 2 x^{2} + 5 x - 3)$
193781	Solve for x	5+7x=11+7x	$5 + 7 x = 11 + 7 x$
193782	Evaluate	-(3pi)/4+pi	$- \frac{3 π}{4} + π$
193783	Divide Using Long Polynomial Division	(x^4+3x^3+6x-4)/(x^2+2)	$\frac{x^{4} + 3 x^{3} + 6 x - 4}{x^{2} + 2}$
193784	Divide	(1/2)÷1 1/2	$\frac{1}{2} \div 1 \frac{1}{2}$
193785	Simplify	(4x^2+2x-12)/(4x^2-8x-12)	$\frac{4 x^{2} + 2 x - 12}{4 x^{2} - 8 x - 12}$
193786	Solve for s	9s-5g=-4u	$9 s - 5 g = - 4 u$
193787	Write as a Single Logarithm	log of x+ log of y+3 log of z	$\log (x) + \log (y) + 3 \log (z)$
193788	Find the Exact Value	3^2*3^3	$3^{2} \cdot 3^{3}$
193789	Solve for n	n7=75	$n \cdot 7 = 7 \cdot 5$
193790	Convert to Polar	x^2+y^2-6x=0	$x^{2} + y^{2} - 6 x = 0$
193791	Graph Using a Table of Values	f(x)=4/x	$f (x) = \frac{4}{x}$
193792	Solve for x	x-5(x+1)=3x+2	$x - 5 (x + 1) = 3 x + 2$
193793	Evaluate	csc(x)-sin(x)	$\csc (x) - \sin (x)$
193794	Solve for x	3/8=15/(5x-2)	$\frac{3}{8} = \frac{15}{5 x - 2}$
193795	Graph	f(x)=(5x-15)/(x-3)	$f (x) = \frac{5 x - 15}{x - 3}$
193796	Simplify	(3y^(1/4))/(4x^(-2/3)y^(3/2)*3y^(1/2))	$\frac{3 y^{\frac{1}{4}}}{4 x^{- \frac{2}{3}} y^{\frac{3}{2}} \cdot 3 y^{\frac{1}{2}}}$
193797	Find the Quadratic Equation Given the Roots	-4 and 5	$- 4$ and $5$
193798	Solve for x	3x-2(x+5)=-7	$3 x - 2 (x + 5) = - 7$
193799	Graph	(1)	$(1)$
193800	Simplify	((z^(-4/3))/(12x^3y^(1/4)))^(-1/2)	${(\frac{z^{- \frac{4}{3}}}{12 x^{3} y^{\frac{1}{4}}})}^{- \frac{1}{2}}$