Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
43901	Convert to Interval Notation	(x-1)(x-6)(x-7)>=0	$(x - 1) (x - 6) (x - 7) \geq 0$
43902	Convert to Interval Notation	(x-4)(x-5)(x-9)>=0	$(x - 4) (x - 5) (x - 9) \geq 0$
43903	Convert to Interval Notation	(x-5)(x-2)^2(x-7)>=0	$(x - 5) {(x - 2)}^{2} (x - 7) \geq 0$
43904	Convert to Interval Notation	(x-5)(x-8)^2>=0	$(x - 5) {(x - 8)}^{2} \geq 0$
43905	Convert to Interval Notation	x^2-4x<=12	$x^{2} - 4 x \leq 12$
43906	Convert to Interval Notation	x^2-5x>=6	$x^{2} - 5 x \geq 6$
43907	Convert to Interval Notation	x^3+2x^2-x-2>=0	$x^{3} + 2 x^{2} - x - 2 \geq 0$
43908	Convert to Interval Notation	x^3+8x<=6x^2	$x^{3} + 8 x \leq 6 x^{2}$
43909	Convert to Interval Notation	x^2-2x-15<=0	$x^{2} - 2 x - 15 \leq 0$
43910	Convert to Interval Notation	x(x+3)(x-4)<=0	$x (x + 3) (x - 4) \leq 0$
43911	Convert to Interval Notation	4x^3-11x^2<=20x	$4 x^{3} - 11 x^{2} \leq 20 x$
43912	Convert to Interval Notation	3x+11<=6x+8	$3 x + 11 \leq 6 x + 8$
43913	Convert to Interval Notation	3x+9<=0	$3 x + 9 \leq 0$
43914	Convert to Interval Notation	4x<=15-3x^2	$4 x \leq 15 - 3 x^{2}$
43915	Convert to Interval Notation	-5<=2x-2<=6	$- 5 \leq 2 x - 2 \leq 6$
43916	Convert to Interval Notation	4x^2>=9-9x	$4 x^{2} \geq 9 - 9 x$
43917	Convert to Interval Notation	5x^3-14x^2<=24x	$5 x^{3} - 14 x^{2} \leq 24 x$
43918	Convert to Interval Notation	8<x<=11	$8 < x \leq 11$
43919	Convert to Interval Notation	81x^2-18x+1<0	$81 x^{2} - 18 x + 1 < 0$
43920	Convert to Interval Notation	2-2x>14	$2 - 2 x > 14$
43921	Convert to Interval Notation	2-3x>11	$2 - 3 x > 11$
43922	Convert to Interval Notation	-2pi<=x<=2pi	$- 2 π \leq x \leq 2 π$
43923	Convert to Interval Notation	2x^3>-14x^2	$2 x^{3} > - 14 x^{2}$
43924	Convert to Interval Notation	2x^2-x^4<=0	$2 x^{2} - x^{4} \leq 0$
43925	Convert to Interval Notation	\|x+2\|+9<=13	$\| x + 2 \| + 9 \leq 13$
43926	Solve the System of @WORD	cube root of 2+x>2	$\sqrt[3]{2 + x} > 2$
43927	Solve the System of @WORD	(x+4)/(2x-1)<0	$\frac{x + 4}{2 x - 1} < 0$
43928	Solve the System of @WORD	1/x-4<0	$\frac{1}{x} - 4 < 0$
43929	Solve the System of @WORD	\|3x-3\|-6<6	$\| 3 x - 3 \| - 6 < 6$
43930	Solve the System of @WORD	0<=x<=2pi	$0 \leq x \leq 2 π$
43931	Solve the System of @WORD	2x^2-9x<=-4	$2 x^{2} - 9 x \leq - 4$
43932	Convert to Interval Notation	x^3-x^2-72x<0	$x^{3} - x^{2} - 72 x < 0$
43933	Convert to Interval Notation	x^3-x^2-72x>0	$x^{3} - x^{2} - 72 x > 0$
43934	Convert to Interval Notation	x^4(x-3)<=0	$x^{4} (x - 3) \leq 0$
43935	Convert to Interval Notation	x^4<49x^2	$x^{4} < 49 x^{2}$
43936	Convert to Interval Notation	x^3-x^2>=-9x+9	$x^{3} - x^{2} \geq - 9 x + 9$
43937	Convert to Interval Notation	x^3-8x<2x^2	$x^{3} - 8 x < 2 x^{2}$
43938	Convert to Interval Notation	x^3-7x^2>0	$x^{3} - 7 x^{2} > 0$
43939	Find the Inverse	[[-1,-2],[3,4]]	$[\begin{array}{c} - 1 & - 2 \\ 3 & 4 \end{array}]$
43940	Solve the System of @WORD	x^2-4x-5>0	$x^{2} - 4 x - 5 > 0$
43941	Solve the System of @WORD	x^2+8x+3<0	$x^{2} + 8 x + 3 < 0$
43942	Solve the System of @WORD	x^2+y^2<=9	$x^{2} + y^{2} \leq 9$
43943	Solve the System of @WORD	-5<=2x-2<=8	$- 5 \leq 2 x - 2 \leq 8$
43944	Solve the System of @WORD	3+ square root of 4a-5<=10	$3 + \sqrt{4 a - 5} \leq 10$
43945	Solve the System of @WORD	x^2-8x+15>0	$x^{2} - 8 x + 15 > 0$
43946	Solve the System of @WORD	x^3-9x^2-x+9>=0	$x^{3} - 9 x^{2} - x + 9 \geq 0$
43947	Find the Inverse	[[0,-2,1],[-5,-2,-3],[7,3,4]]	$[\begin{array}{c} 0 & - 2 & 1 \\ - 5 & - 2 & - 3 \\ 7 & 3 & 4 \end{array}]$
43948	Find the Axis of Symmetry	f(x)=-x^2-2x-1	$f (x) = - x^{2} - 2 x - 1$
43949	Find the Axis of Symmetry	f(x)=(x-4)^2-4	$f (x) = {(x - 4)}^{2} - 4$
43950	Solve the Matrix Equation	[[1,0,0],[0,1,1],[0,0,1]][[x],[y],[z]]=[[2],[-9],[5]]	$[\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{array}] [\begin{array}{c} x \\ y \\ z \end{array}] = [\begin{array}{c} 2 \\ - 9 \\ 5 \end{array}]$
43951	Solve the Matrix Equation	[[15,-25],[25,-20],[25,5]]=-5z	$[\begin{array}{c} 15 & - 25 \\ 25 & - 20 \\ 25 & 5 \end{array}] = - 5 z$
43952	Solve the Matrix Equation	X+[[-10,3,-14],[21,8,-5],[2,6,-1]]=[[10,2,3],[4,-10,2],[3,4,-1]]	$X + [\begin{array}{c} - 10 & 3 & - 14 \\ 21 & 8 & - 5 \\ 2 & 6 & - 1 \end{array}] = [\begin{array}{c} 10 & 2 & 3 \\ 4 & - 10 & 2 \\ 3 & 4 & - 1 \end{array}]$
43953	Find the Center	((x+8)^2)/100+((y-3)^2)/16=1	$\frac{{(x + 8)}^{2}}{100} + \frac{{(y - 3)}^{2}}{16} = 1$
43954	Solve over the Interval	cos(x)-2sin(x)cos(x)=0 , [0,2pi)	$\cos (x) - 2 \sin (x) \cos (x) = 0$ , $[0, 2 π)$
43955	Find the Center	x^2-y^2-2x-12y-36=0	$x^{2} - y^{2} - 2 x - 12 y - 36 = 0$
43956	Find the End Behavior	y=-2x^3	$y = - 2 x^{3}$
43957	Find the Center	x^2-6x+9y^2+36y+9=0	$x^{2} - 6 x + 9 y^{2} + 36 y + 9 = 0$
43958	Find the Center	4x^2+16x+4y^2+16y+16=0	$4 x^{2} + 16 x + 4 y^{2} + 16 y + 16 = 0$
43959	Find the Center	4x^2-y^2+16y-80=0	$4 x^{2} - y^{2} + 16 y - 80 = 0$
43960	Find the Center	-4x^2+y^2+8x-4y-4=0	$- 4 x^{2} + y^{2} + 8 x - 4 y - 4 = 0$
43961	Find the Center	4x^2+y^2-32x+16y+124=0	$4 x^{2} + y^{2} - 32 x + 16 y + 124 = 0$
43962	Find the Center	4x^2-y^2=100	$4 x^{2} - y^{2} = 100$
43963	Find the Center	64x^2+y^2-768x+2240=0	$64 x^{2} + y^{2} - 768 x + 2240 = 0$
43964	Find the Center	25x^2+9y^2-50x+54y-119=0	$25 x^{2} + 9 y^{2} - 50 x + 54 y - 119 = 0$
43965	Find the Center	25x^2+9y^2-100x+18y-116=0	$25 x^{2} + 9 y^{2} - 100 x + 18 y - 116 = 0$
43966	Find the Center	25x^2+16y^2-250x+64y+289=0	$25 x^{2} + 16 y^{2} - 250 x + 64 y + 289 = 0$
43967	Find the Center	16x^2+36y^2-256x+448=0	$16 x^{2} + 36 y^{2} - 256 x + 448 = 0$
43968	Find the Center	(x^2)/64+(y^2)/16=1	$\frac{x^{2}}{64} + \frac{y^{2}}{16} = 1$
43969	Find the Center	((x-3)^2)/5+((y-1)^2)/15=1	$\frac{{(x - 3)}^{2}}{5} + \frac{{(y - 1)}^{2}}{15} = 1$
43970	Find the Center	(x^2)/169+(y^2)/144=1	$\frac{x^{2}}{169} + \frac{y^{2}}{144} = 1$
43971	Find the Roots/Zeros Using the Rational Roots Test	12x^3-91x^2+50x-7=0	$12 x^{3} - 91 x^{2} + 50 x - 7 = 0$
43972	Expand Using De Moivre's Theorem	(2-2i)^4	${(2 - 2 i)}^{4}$
43973	Expand Using De Moivre's Theorem	(cos(pi/12)+isin(pi/12))^2	${(\cos (\frac{π}{12}) + i \sin (\frac{π}{12}))}^{2}$
43974	Expand Using De Moivre's Theorem	(cos(pi/8)+isin(pi/8))^2	${(\cos (\frac{π}{8}) + i \sin (\frac{π}{8}))}^{2}$
43975	Expand Using De Moivre's Theorem	(3(cos(27 degrees )+isin(27 degrees )))^5	${(3 (\cos (27 °) + i \sin (27 °)))}^{5}$
43976	Determine if Odd, Even, or Neither	2x^3+6	$2 x^{3} + 6$
43977	Find the Inverse	3x-12	$3 x - 12$
43978	Find the Inverse	4x^3-3	$4 x^{3} - 3$
43979	Find the Inverse	(x-9)^2	${(x - 9)}^{2}$
43980	Find the Inverse	arccos(x-pi)	$\arccos (x - π)$
43981	Find the Inverse	log base 6 of x	$\log_{6} (x)$
43982	Find the Inverse	log of x-1	$\log (x - 1)$
43983	Find the Parabola with Focus (0,-8) and Directrix y=8	(0,-8) y=8	$(0, - 8)$ $y = 8$
43984	Find the Inverse	f^-1(4)	$f^{- 1} (4)$
43985	Find the Inverse	natural log of 5x+1	$\ln (5 x + 1)$
43986	Find the Inverse	e^x+2	$e^{x} + 2$
43987	Find the Inverse	5x-7	$5 x - 7$
43988	Convert to Rectangular	x(t)=3+t , y(t)=-t^2	$x (t) = 3 + t$ , $y (t) = - t^{2}$
43989	Convert to Rectangular	x(t)=e^t , y(t)=-e^(3t)	$x (t) = e^{t}$ , $y (t) = - e^{3 t}$
43990	Find the Expanded Form	x^2+(y-5)^2=12	$x^{2} + {(y - 5)}^{2} = 12$
43991	Find the Distance Between Two Points	(-1,2) , (3,4)	$(- 1, 2) (3, 4)$
43992	Evaluate Using the Given Value	f(1)=2.72^1	$f (1) = {2.72}^{1}$
43993	Evaluate Using the Given Value	f(4)=9	$f (4) = 9$
43994	Evaluate Using the Given Value	f(16)=70e^(-0.2(16))+30	$f (16) = 70 e^{- 0.2 (16)} + 30$
43995	Evaluate Using the Given Value	f(2)=9	$f (2) = 9$
43996	Add	[[0,-2],[9,5]]+[[-6,3],[8,4]]	$[\begin{array}{c} 0 & - 2 \\ 9 & 5 \end{array}] + [\begin{array}{c} - 6 & 3 \\ 8 & 4 \end{array}]$
43997	Find the Perfect Square Trinomial	y^2-2y	$y^{2} - 2 y$
43998	Determine if @POINT is a Solution	y=17x-17 , (1,0)	$y = 17 x - 17$ , $(1, 0)$
43999	Find the Slope	(1,2) , (8,5)	$(1, 2) (8, 5)$
44000	Find the Slope	x+2y-4=0	$x + 2 y - 4 = 0$