Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
192801	Convert to Polar	x^2+y^2-6y=0	$x^{2} + y^{2} - 6 y = 0$
192802	Evaluate the Function	f(x)=3x^2-5 at x=2	$f (x) = 3 x^{2} - 5$ at $x = 2$
192803	Find the Inverse	f(x)=((x-10)/7)^3	$f (x) = {(\frac{x - 10}{7})}^{3}$
192804	Graph	f(x)=1/2(x-2)^2+1	$f (x) = \frac{1}{2} {(x - 2)}^{2} + 1$
192805	Solve for b	a=2/3(b+5)	$a = \frac{2}{3} (b + 5)$
192806	Simplify	(cos(2theta))/(sin(theta)^2)	$\frac{\cos (2 θ)}{\sin^{2} (θ)}$
192807	Factor	3a^3b^2c-9a^2b^3c^2+15ab^4c^3	$3 a^{3} b^{2} c - 9 a^{2} b^{3} c^{2} + 15 a b^{4} c^{3}$
192808	Find the End Behavior	f(x)=-126x^3-540x^2-936x-576-9x^4	$f (x) = - 126 x^{3} - 540 x^{2} - 936 x - 576 - 9 x^{4}$
192809	Simplify	x-5+x^2-1	$x - 5 + x^{2} - 1$
192810	Convert to Interval Notation	x^2<15x-7	$x^{2} < 15 x - 7$
192811	Convert to Meters	3cm	$3 cm$
192812	Find the Exact Value	sin((5pi)/4)^2	$\sin^{2} (\frac{5 π}{4})$
192813	Find the Roots (Zeros)	square root of x=7	$\sqrt{x} = 7$
192814	Solve for n	6-4(6n+7)>=122	$6 - 4 (6 n + 7) \geq 122$
192815	Find the Function	f(x)=2(1/7)^x	$f (x) = 2 {(\frac{1}{7})}^{x}$
192816	Simplify	-(x-2)(3x^2+4x-5)	$- (x - 2) (3 x^{2} + 4 x - 5)$
192817	Find the Inverse	f(x)=1/2x^3	$f (x) = \frac{1}{2} x^{3}$
192818	Simplify	3(-x+3)^2+6(-x+3)+5	$3 {(- x + 3)}^{2} + 6 (- x + 3) + 5$
192819	Simplify	6-y+5y-6y	$6 - y + 5 y - 6 y$
192820	Determine if Perpendicular	x=-4 and x=9	$x = - 4$ and $x = 9$
192821	Multiply	1* square root of 3	$1 \cdot \sqrt{3}$
192822	Solve for θ	cos(theta)^2+sin(theta)^2=1	$\cos^{2} (θ) + \sin^{2} (θ) = 1$
192823	Write in Standard Form	(2x+3)^2+(x+4)^2=10	${(2 x + 3)}^{2} + {(x + 4)}^{2} = 10$
192824	Factor	xy+x+y+1	$x y + x + y + 1$
192825	Solve for x	(x-2)/3-(12-x)/2=(5x-36)/4-1	$\frac{x - 2}{3} - \frac{12 - x}{2} = \frac{5 x - 36}{4} - 1$
192826	Solve for θ	2sec(theta)^2-tan(theta)^4=-1	$2 \sec^{2} (θ) - \tan^{4} (θ) = - 1$
192827	Solve for x	tan(x)-2sin(x)tan(x)=0	$\tan (x) - 2 \sin (x) \tan (x) = 0$
192828	Solve for x	-15x^3+95x^2+70x=0	$- 15 x^{3} + 95 x^{2} + 70 x = 0$
192829	Factor	343a^6+1/27y^9	$343 a^{6} + \frac{1}{27} y^{9}$
192830	Solve the Inequality for x	(x^2-3x+2)(x^2+7x-8)<=0	$(x^{2} - 3 x + 2) (x^{2} + 7 x - 8) \leq 0$
192831	Factor	8x^2+x-32x-4	$8 x^{2} + x - 32 x - 4$
192832	Simplify	((x+2)/(2x-3))÷((x^2-4)/(2x^2-3x))	$\frac{x + 2}{2 x - 3} \div \frac{x^{2} - 4}{2 x^{2} - 3 x}$
192833	Solve for x	x/2=(3x+4)/(2x)	$\frac{x}{2} = \frac{3 x + 4}{2 x}$
192834	Solve for x	-(6x)/(x-3)+18/(x-1)=-36/(x^2-4x+3)	$- \frac{6 x}{x - 3} + \frac{18}{x - 1} = \frac{- 36}{x^{2} - 4 x + 3}$
192835	Graph	\|x+3\|-1=(x+2)^2	$\| x + 3 \| - 1 = {(x + 2)}^{2}$
192836	Solve the Inequality for x	-1/5(x+9)+1/2x<=-3	$- \frac{1}{5} (x + 9) + \frac{1}{2} x \leq - 3$
192837	Convert to Scientific Notation	(3.610^7)÷(7.210^7)	$(3.6 \times 10^{7}) \div (7.2 \times 10^{7})$
192838	Find the Domain and Range	g(x)=- square root of x^2+4	$g (x) = - \sqrt{x^{2} + 4}$
192839	Solve for x	3(16x^2-81)(x^2+9)=0	$3 (16 x^{2} - 81) (x^{2} + 9) = 0$
192840	Find the Domain of the Composition f(g(x))	f(x) = square root of x+4 , g(x)=x^2	$f (x) = \sqrt{x + 4}$ , $g (x) = x^{2}$
192841	Find the Holes in the Graph	f(x)=(x^3-4x)/(-3x^2+6x)	$f (x) = \frac{x^{3} - 4 x}{- 3 x^{2} + 6 x}$
192842	Simplify	(4x+3)*(4x^2+5x-1)	$(4 x + 3) \cdot (4 x^{2} + 5 x - 1)$
192843	Solve for m	13m-34m+42m-22m+8=-41	$13 m - 34 m + 42 m - 22 m + 8 = - 41$
192844	Simplify	(( square root of 3)/4-3/2i)^2	${(\frac{\sqrt{3}}{4} - \frac{3}{2} i)}^{2}$
192845	Find f(g(x))	f(x)=x^2 , g(x)=x+2	$f (x) = x^{2}$ , $g (x) = x + 2$
192846	Solve for x	3/4(1/4x+8)-(1/2x+2)=3/8(4-x)-1/4x	$\frac{3}{4} (\frac{1}{4} x + 8) - (\frac{1}{2} x + 2) = \frac{3}{8} (4 - x) - \frac{1}{4} x$
192847	Graph	x-y<=0 2x-y<=8 0<=x<=11	$x - y \leq 0$ $2 x - y \leq 8$ $0 \leq x \leq 11$
192848	Simplify	1/( square root of 7+1)	$\frac{1}{\sqrt{7 + 1}}$
192849	Evaluate	16^( log base 4 of 8)	$16^{\log_{4} (8)}$
192850	Find the Domain and Range	y=-1/3sin(3x)	$y = - \frac{1}{3} \sin (3 x)$
192851	Solve for θ	cos(theta/2)=-( square root of 2)/2	$\cos (\frac{θ}{2}) = - \frac{\sqrt{2}}{2}$
192852	Solve for x	e^(x^2)=e^25	$e^{x^{2}} = e^{25}$
192853	Solve the Inequality for x	3(x+4)<=3x	$3 (x + 4) \leq 3 x$
192854	Solve for x	square root of 3+x-5=-2	$\sqrt{3 + x} - 5 = - 2$
192855	Factor	(x-y)^3-(x+y)^3	${(x - y)}^{3} - {(x + y)}^{3}$
192856	Solve for G	F=Gmm/(r^2)	$F = G \frac{mm}{r^{2}}$
192857	Solve for x	4-5/2=(x+7)/18	$4 - \frac{5}{2} = \frac{x + 7}{18}$
192858	Evaluate	5*(-2w-4)	$5 \times (- 2 w - 4)$
192859	Find the x and y Intercepts	y = log base 1/3 of x-1	$y = \log_{\frac{1}{3}} (x - 1)$
192860	Solve the Inequality for x	2-2(x-3)>=3(x-3)-8	$2 - 2 (x - 3) \geq 3 (x - 3) - 8$
192861	Find the x and y Intercepts	f(x)=2 square root of -x+2	$f (x) = 2 \sqrt{- x} + 2$
192862	Solve for x	8x+2x-7=10x-2-5	$8 x + 2 x - 7 = 10 x - 2 - 5$
192863	Simplify	1/(i^-11)	$\frac{1}{i^{- 11}}$
192864	Solve for s	7s-9<6s-10	$7 s - 9 < 6 s - 10$
192865	Find the Parallel Line	(-1,4) and parallel to x+3y=5	$(- 1, 4)$ and parallel to $x + 3 y = 5$
192866	Solve the System of Inequalities	-3x+4>=7 or -x-2<-5	$- 3 x + 4 \geq 7$ or $- x - 2 < - 5$
192867	Solve for x	(3x-1)^2=1	${(3 x - 1)}^{2} = 1$
192868	Solve for z	8z+6=7z+4	$8 z + 6 = 7 z + 4$
192869	Evaluate	(3(5+6)+2)÷7	$(3 (5 + 6) + 2) \div 7$
192870	Describe the Transformation	f(x)=1/(x+5)+7	$f (x) = \frac{1}{x + 5} + 7$
192871	Graph	28-k>=7(k-4)	$28 - k \geq 7 (k - 4)$
192872	Find the x and y Intercepts	f(x) = cube root of x+8	$f (x) = \sqrt[3]{x + 8}$
192873	Find the Exact Value	arcos (cos(pi/2))	arcos $(\cos (\frac{π}{2}))$
192874	Evaluate the Function	f(x)=2x^2-5 when x=-3	$f (x) = 2 x^{2} - 5$ when $x = - 3$
192875	Solve for a	P=a-b-5	$P = a - b - 5$
192876	Solve the System of Inequalities	2<2x<6	$2 < 2 x < 6$
192877	Combine Like Terms	2y+14x-7x+9y	$2 y + 14 x - 7 x + 9 y$
192878	Solve for x	3=18-5/4x	$3 = 18 - \frac{5}{4} x$
192879	Solve for x	3/5-3(10x-1)=3/5	$\frac{3}{5} - 3 (10 x - 1) = \frac{3}{5}$
192880	Write in Slope-Intercept Form	7y-3=-3(4-x)	$7 y - 3 = - 3 (4 - x)$
192881	Solve for v	e=1/2mv^2+mgh	$e = \frac{1}{2} m v^{2} + mg h$
192882	Solve for m	7m-2=8m+4-m	$7 m - 2 = 8 m + 4 - m$
192883	Evaluate	(6x^2-5x)-(10x^2+8x-8)	$(6 x^{2} - 5 x) - (10 x^{2} + 8 x - 8)$
192884	Simplify	(12a^2-3)/2(2a+1)^-2(6/(2a+1))^-1	$\frac{12 a^{2} - 3}{2} \cdot {(2 a + 1)}^{- 2} \cdot {(\frac{6}{(2 a + 1)})}^{- 1}$
192885	Factor	x(a+b)+x(a+c)	$x (a + b) + x (a + c)$
192886	Find the Excluded Values	2/(3x)+1/4=88/(6x)-1/3	$\frac{2}{3 x} + \frac{1}{4} = \frac{88}{6 x} - \frac{1}{3}$
192887	Find the x and y Intercepts	P(x)=x^3-5x^2-6x	$P (x) = x^{3} - 5 x^{2} - 6 x$
192888	Solve for x	10ax-y=6+2x	$10 a x - y = 6 + 2 x$
192889	Simplify	(x^2y)/(xy)	$\frac{x^{2} y}{x y}$
192890	Solve for x	log of x*81=4	$\log (x \cdot 81) = 4$
192891	Find the Distance Between Two Points	(13,1.6) and (5.4,3.7)	$(13, 1.6)$ and $(5.4, 3.7)$
192892	Simplify	(m^-1n^-2)^3	${(m^{- 1} n^{- 2})}^{3}$
192893	Solve for x	4x+8=10^1	$4 x + 8 = 10^{1}$
192894	Find the Inverse	f(x) = cube root of (x+6)/2	$f (x) = \sqrt[3]{\frac{x + 6}{2}}$
192895	Factor	20x^(-1/2)+9x^(1/2)+x^(3/2)	$20 x^{- \frac{1}{2}} + 9 x^{\frac{1}{2}} + x^{\frac{3}{2}}$
192896	Evaluate	1*(-3^(7-1))	$1 \cdot (- 3^{7 - 1})$
192897	Solve for m	\|m\|>=10	$\| m \| \geq 10$
192898	Multiply	(5m^2-3m^2+6)(-3m+2)	$(5 m^{2} - 3 m^{2} + 6) (- 3 m + 2)$
192899	Solve for x	-2(3x+5)(x^2-16)=0	$- 2 (3 x + 5) (x^{2} - 16) = 0$
192900	Solve for x	\|6x-5\|=4x	$\| 6 x - 5 \| = 4 x$