Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
123001	Find the Mean	1 , 2 , 4 , 6 , 4	$1$ , $2$ , $4$ , $6$ , $4$
123002	Find the Mean	128 , 96 , 72 , 54	$128$ , $96$ , $72$ , $54$
123003	Factor over the Complex Numbers	4x^8+16	$4 x^{8} + 16$
123004	Factor over the Complex Numbers	y^3+2y^2+16y+32	$y^{3} + 2 y^{2} + 16 y + 32$
123005	Find the Inverse	[[1,2],[-2,4]]	$[\begin{array}{c} 1 & 2 \\ - 2 & 4 \end{array}]$
123006	Find the Mean	23 , 79 , 81 , 10 , 62	$23$ , $79$ , $81$ , $10$ , $62$
123007	Find the Mean	8 , 10 , 10 , 10 , 6 , 7 , 8	$8$ , $10$ , $10$ , $10$ , $6$ , $7$ , $8$
123008	Find the Integral	sec(x)^4	$\sec^{4} (x)$
123009	Find the Inverse	[[1,5],[1,10]]	$[\begin{array}{c} 1 & 5 \\ 1 & 10 \end{array}]$
123010	Solve the System of @WORD	1<3x-2<4	$1 < 3 x - 2 < 4$
123011	Solve the System of @WORD	6x-2y<106x+3y>=15	$6 x - 2 y < 106 x + 3 y \geq 15$
123012	Solve the System of @WORD	3x+2y>=-2x+2y<=2	$3 x + 2 y \geq - 2 x + 2 y \leq 2$
123013	Solve the System of @WORD	log base 3 of x>2	$\log_{3} (x) > 2$
123014	Verify the Identity	(cos(x)-sin(x))^2=1-2sin(x)cos(x)	${(\cos (x) - \sin (x))}^{2} = 1 - 2 \sin (x) \cos (x)$
123015	Find the Maximum/Minimum Value	2x^2+8x-6	$2 x^{2} + 8 x - 6$
123016	Find the Maximum/Minimum Value	square root of x^2-x+1	$\sqrt{x^{2} - x + 1}$
123017	Find the Maximum/Minimum Value	square root of x^2-5x+9	$\sqrt{x^{2} - 5 x + 9}$
123018	Find the Maximum/Minimum Value	80x-0.4x^2	$80 x - 0.4 x^{2}$
123019	Find the Maximum/Minimum Value	-6t^2+2t-1	$- 6 t^{2} + 2 t - 1$
123020	Find the Maximum/Minimum Value	72x-16x^2	$72 x - 16 x^{2}$
123021	Find the Maximum/Minimum Value	60x-0.2x^2	$60 x - 0.2 x^{2}$
123022	Find the Maximum/Minimum Value	9-2x-x^2	$9 - 2 x - x^{2}$
123023	Find the Maximum/Minimum Value	-8t^2+6t-1	$- 8 t^{2} + 6 t - 1$
123024	Find the Maximum/Minimum Value	116t-16t^2	$116 t - 16 t^{2}$
123025	Find the Maximum/Minimum Value	100x-0.2x^2	$100 x - 0.2 x^{2}$
123026	Find the Vertex	3(x-2)^2-5	$3 {(x - 2)}^{2} - 5$
123027	Find the Vertex	-3(x+1)^2+5	$- 3 {(x + 1)}^{2} + 5$
123028	Find the Vertex	-4x^2-48x-128	$- 4 x^{2} - 48 x - 128$
123029	Graph the Interval	(negative infinity,1) union (1,infinity)	$(- \infty, 1) \cup (1, \infty)$
123030	Graph the Interval	(-2,0) union (-1,1)	$(- 2, 0) \cup (- 1, 1)$
123031	Solve by Graphing	-x^2-14x-49=0	$- x^{2} - 14 x - 49 = 0$
123032	Solve by Graphing	sin(x)=-1/2	$\sin (x) = - \frac{1}{2}$
123033	Solve by Graphing	x^3-5x^2-12x=-36	$x^{3} - 5 x^{2} - 12 x = - 36$
123034	Solve by Graphing	x^3-3x^2-18x=-40	$x^{3} - 3 x^{2} - 18 x = - 40$
123035	Solve by Graphing	-(3/2)^x+12=2x-3	$- {(\frac{3}{2})}^{x} + 12 = 2 x - 3$
123036	Solve by Graphing	-5x^3-4x^2+10x=0	$- 5 x^{3} - 4 x^{2} + 10 x = 0$
123037	Solve by Graphing	-x^3+2x^2+1=0	$- x^{3} + 2 x^{2} + 1 = 0$
123038	Solve by Graphing	-x^3-3x-2=0	$- x^{3} - 3 x - 2 = 0$
123039	Find the Vertex	(x-5)^2+2	${(x - 5)}^{2} + 2$
123040	Find the Vertex	3x^2-24x+53	$3 x^{2} - 24 x + 53$
123041	Find the Vertex	1/2x^2+3x+3/2	$\frac{1}{2} x^{2} + 3 x + \frac{3}{2}$
123042	Solve by Graphing	1/10x^2-10=0	$\frac{1}{10} x^{2} - 10 = 0$
123043	Solve by Graphing	8-4x=2x-4	$8 - 4 x = 2 x - 4$
123044	Solve by Graphing	1/11x^2-11=0	$\frac{1}{11} x^{2} - 11 = 0$
123045	Find the Maximum/Minimum Value	y=-0.04x^2+1.56x	$y = - 0.04 x^{2} + 1.56 x$
123046	Find the Maximum/Minimum Value	y=36t-16t^2	$y = 36 t - 16 t^{2}$
123047	Find the Maximum/Minimum Value	y=36-x^2	$y = 36 - x^{2}$
123048	Find the Maximum/Minimum Value	y=5x^2-30x+50	$y = 5 x^{2} - 30 x + 50$
123049	Find the Maximum/Minimum Value	z=3x+5y	$z = 3 x + 5 y$
123050	Find the Maximum/Minimum Value	h=-16t^2+80t	$h = - 16 t^{2} + 80 t$
123051	Find the Maximum/Minimum Value	y=1/5x^2-12x+27	$y = \frac{1}{5} x^{2} - 12 x + 27$
123052	Find the Maximum/Minimum Value	y=2x^2-4x-13	$y = 2 x^{2} - 4 x - 13$
123053	Find the Equation Using Slope-Intercept Form	m=7 , (3,3)	$m = 7$ , $(3, 3)$
123054	Find the Equation Using Slope-Intercept Form	m=6 , b=7	$m = 6$ , $b = 7$
123055	Find the Equation Using Slope-Intercept Form	m=6 , (2,2)	$m = 6$ , $(2, 2)$
123056	Find the Equation Using Slope-Intercept Form	m=-9/16 , (-8,16)	$m = - \frac{9}{16}$ , $(- 8, 16)$
123057	Find the Equation Using Slope-Intercept Form	(0,5) , m=1	$(0, 5)$ , $m = 1$
123058	Find the Domain	(5x-2y)/3=1	$\frac{5 x - 2 y}{3} = 1$
123059	Find the Domain	y = cube root of 2x-9	$y = \sqrt[3]{2 x - 9}$
123060	Find the Distance Between Two Points	(-7.5,1) , (-9.5,4)	$(- 7.5, 1) (- 9.5, 4)$
123061	Find the Distance Between Two Points	(8,-6) , (5,0)	$(8, - 6)$ , $(5, 0)$
123062	Find the Distance Between Two Points	(12,5) , (-12,-2)	$(12, 5)$ , $(- 12, - 2)$
123063	Find the Axis of Symmetry	y=-2x^2-4x+2	$y = - 2 x^{2} - 4 x + 2$
123064	Find the Axis of Symmetry	y=5x^2+3x	$y = 5 x^{2} + 3 x$
123065	Find the Axis of Symmetry	y=x^2+x-3	$y = x^{2} + x - 3$
123066	Find the Axis of Symmetry	y=x^2-10x+40	$y = x^{2} - 10 x + 40$
123067	Find the Axis of Symmetry	y=2x^2+7x-3	$y = 2 x^{2} + 7 x - 3$
123068	Find the Axis of Symmetry	y=-2x^2+32x-132	$y = - 2 x^{2} + 32 x - 132$
123069	Find the Axis of Symmetry	y=(x+1)^2-36	$y = {(x + 1)}^{2} - 36$
123070	Find the Axis of Symmetry	y=-2(x-2)(x-5)	$y = - 2 (x - 2) (x - 5)$
123071	Find the Axis of Symmetry	y=-x^2-8	$y = - x^{2} - 8$
123072	Find f(g(x))	f(x)=x+19 , g(x)=x-19	$f (x) = x + 19$ , $g (x) = x - 19$
123073	Find g(f(x))	f(x)=x+19 , g(x)=x-19	$f (x) = x + 19$ , $g (x) = x - 19$
123074	Evaluate Using the Given Value	-p+60=-h+10 , 0	$- p + 60 = - h + 10$ , $0$
123075	Evaluate Using the Given Value	f(3)=1/3(6)^3	$f (3) = \frac{1}{3} {(6)}^{3}$
123076	Evaluate Using the Given Value	h-(h^2-1)÷2 ; h=-1	$h - (h^{2} - 1) \div 2$ ; $h = - 1$
123077	Find the Perfect Square Trinomial	n^2-14n+c	$n^{2} - 14 n + c$
123078	Find the Perfect Square Trinomial	q^2-4q+c	$q^{2} - 4 q + c$
123079	Find the Perfect Square Trinomial	m^2-26m	$m^{2} - 26 m$
123080	Find the Perfect Square Trinomial	r^2-8r	$r^{2} - 8 r$
123081	Find the Perfect Square Trinomial	(m+2)(m-7)	$(m + 2) (m - 7)$
123082	Find the Perfect Square Trinomial	z^2-2z+c	$z^{2} - 2 z + c$
123083	Evaluate Using the Given Value	cos(x) , x=pi/2	$\cos (x)$ , $x = \frac{π}{2}$
123084	Apply the Quadratic Formula	-4.9t^2+33.6t+4.9	$- 4.9 t^{2} + 33.6 t + 4.9$
123085	Apply the Quadratic Formula	(7x-3)(2x-5)	$(7 x - 3) (2 x - 5)$
123086	Apply the Quadratic Formula	12x^2-72x+77	$12 x^{2} - 72 x + 77$
123087	Combine	4m-2+(-8m)	$4 m - 2 + (- 8 m)$
123088	Combine	square root of 243x^3+10x square root of 3x	$\sqrt{243 x^{3}} + 10 x \sqrt{3 x}$
123089	Combine	square root of 8z^3+8z square root of 2z	$\sqrt{8 z^{3}} + 8 z \sqrt{2 z}$
123090	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3+6x^2-40x-192	$f (x) = x^{3} + 6 x^{2} - 40 x - 192$
123091	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^4+4x^3-7x^2-8x+10	$f (x) = x^{4} + 4 x^{3} - 7 x^{2} - 8 x + 10$
123092	Split Using Partial Fraction Decomposition	(x^2-1)/(x^3+x^2+x)	$\frac{x^{2} - 1}{x^{3} + x^{2} + x}$
123093	Find Amplitude, Period, and Phase Shift	m(t)=7cos(t+3)	$m (t) = 7 \cos (t + 3)$
123094	Find Amplitude, Period, and Phase Shift	f(t)=-1/2sin(3t-2pi)	$f (t) = - \frac{1}{2} \sin (3 t - 2 π)$
123095	Find Amplitude, Period, and Phase Shift	f(x)=2tan(4x-32)	$f (x) = 2 \tan (4 x - 32)$
123096	Find the Possible Factors	152	$152$
123097	Find the 5th Term	7640 , 764 , 76.4 , 7.64	$7640$ , $764$ , $76.4$ , $7.64$
123098	Find the Degree	f(x)=-2x+7x^3	$f (x) = - 2 x + 7 x^{3}$
123099	Determine if a Polynomial	(5y^3)/(x^2)+4x	$\frac{5 y^{3}}{x^{2}} + 4 x$
123100	Determine if a Polynomial	1/5a^3-3/5a^2+4/5a	$\frac{1}{5} a^{3} - \frac{3}{5} a^{2} + \frac{4}{5} a$