Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
141101	Solve the Matrix Equation	-2b=[[-12],[0],[16]]	$- 2 b = [\begin{array}{c} - 12 \\ 0 \\ 16 \end{array}]$
141102	Solve the Matrix Equation	2x-[[-2,0],[1,4]]=[[5,10],[-15,9]]	$2 x - [\begin{array}{c} - 2 & 0 \\ 1 & 4 \end{array}] = [\begin{array}{c} 5 & 10 \\ - 15 & 9 \end{array}]$
141103	Solve the Matrix Equation	2x-[[-4,6],[2,-3]]=[[2,-2],[8,5]]	$2 x - [\begin{array}{c} - 4 & 6 \\ 2 & - 3 \end{array}] = [\begin{array}{c} 2 & - 2 \\ 8 & 5 \end{array}]$
141104	Solve the Matrix Equation	-8[[2,11,4],[0,2,-6]]=[[-16,-88,x],[0,-16,48]]	$- 8 [\begin{array}{c} 2 & 11 & 4 \\ 0 & 2 & - 6 \end{array}] = [\begin{array}{c} - 16 & - 88 & x \\ 0 & - 16 & 48 \end{array}]$
141105	Solve the Matrix Equation	x+[[6,1],[-2,3]]=[[2,0],[-3,1]]	$x + [\begin{array}{c} 6 & 1 \\ - 2 & 3 \end{array}] = [\begin{array}{c} 2 & 0 \\ - 3 & 1 \end{array}]$
141106	Solve the Matrix Equation	[[4,2],[0,1]]+[[5,9],[8,2]]=[[9,x],[8,3]]	$[\begin{array}{c} 4 & 2 \\ 0 & 1 \end{array}] + [\begin{array}{c} 5 & 9 \\ 8 & 2 \end{array}] = [\begin{array}{c} 9 & x \\ 8 & 3 \end{array}]$
141107	Solve the Matrix Equation	[[3,-8,0],[8,2,1]]+x=[[5,3,-9],[2,12,0]]	$[\begin{array}{c} 3 & - 8 & 0 \\ 8 & 2 & 1 \end{array}] + x = [\begin{array}{c} 5 & 3 & - 9 \\ 2 & 12 & 0 \end{array}]$
141108	Solve the Matrix Equation	[[-3,5],[25,-2]]-3[[0,-2],[x,4]]=[[-3,11],[15,-14]]	$[\begin{array}{c} - 3 & 5 \\ 25 & - 2 \end{array}] - 3 [\begin{array}{c} 0 & - 2 \\ x & 4 \end{array}] = [\begin{array}{c} - 3 & 11 \\ 15 & - 14 \end{array}]$
141109	Solve the Matrix Equation	[[4,7],[1,2]]X+[[2,7],[-3,4]]=[[6,2],[-2,3]]	$[\begin{array}{c} 4 & 7 \\ 1 & 2 \end{array}] X + [\begin{array}{c} 2 & 7 \\ - 3 & 4 \end{array}] = [\begin{array}{c} 6 & 2 \\ - 2 & 3 \end{array}]$
141110	Solve the Matrix Equation	[[4,5],[7,9]]x=[[2,-1],[3,2]]	$[\begin{array}{c} 4 & 5 \\ 7 & 9 \end{array}] x = [\begin{array}{c} 2 & - 1 \\ 3 & 2 \end{array}]$
141111	Solve the Matrix Equation	[[4,3],[1,1]]x=[[17,4],[6,2]]	$[\begin{array}{c} 4 & 3 \\ 1 & 1 \end{array}] x = [\begin{array}{c} 17 & 4 \\ 6 & 2 \end{array}]$
141112	Solve the Matrix Equation	[[9,4x+1],[7,4]]=[[2,-1],[3,5]]+[[7,5],[4,-1]]	$[\begin{array}{c} 9 & 4 x + 1 \\ 7 & 4 \end{array}] = [\begin{array}{c} 2 & - 1 \\ 3 & 5 \end{array}] + [\begin{array}{c} 7 & 5 \\ 4 & - 1 \end{array}]$
141113	Solve the Matrix Equation	[[-8,-14,-2x]]-([[-19,17,-1]]+[[14,13,-2]])=[[-3,-44,-9]]	$[\begin{array}{c} - 8 & - 14 & - 2 x \end{array}] - ([\begin{array}{c} - 19 & 17 & - 1 \end{array}] + [\begin{array}{c} 14 & 13 & - 2 \end{array}]) = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$
141114	Solve the Matrix Equation	[[d,3],[e,1]]+[[2,f],[2,g]]=[[5,3],[1,2]]	$[\begin{array}{c} d & 3 \\ e & 1 \end{array}] + [\begin{array}{c} 2 & f \\ 2 & g \end{array}] = [\begin{array}{c} 5 & 3 \\ 1 & 2 \end{array}]$
141115	Solve the Matrix Equation	[[5,4],[-3,2]]X=[[10],[-16]]	$[\begin{array}{c} 5 & 4 \\ - 3 & 2 \end{array}] X = [\begin{array}{c} 10 \\ - 16 \end{array}]$
141116	Solve the Matrix Equation	[[-5,x],[y,8]]=[[-5,14],[27,8]]	$[\begin{array}{c} - 5 & x \\ y & 8 \end{array}] = [\begin{array}{c} - 5 & 14 \\ 27 & 8 \end{array}]$
141117	Solve the Matrix Equation	[[7,-1],[3,5]]+x=[[4,5],[8,2]]	$[\begin{array}{c} 7 & - 1 \\ 3 & 5 \end{array}] + x = [\begin{array}{c} 4 & 5 \\ 8 & 2 \end{array}]$
141118	Find the Function Rule	table[[x,y],[0,-3],[3,-1],[6,1]]	$\begin{array}{c} x & y \\ 0 & - 3 \\ 3 & - 1 \\ 6 & 1 \end{array}$
141119	Find the Function Rule	table[[x,y],[0,3],[3,15],[6,27]]	$\begin{array}{c} x & y \\ 0 & 3 \\ 3 & 15 \\ 6 & 27 \end{array}$
141120	Find the Function Rule	table[[x,y],[0,36500],[5,53600],[10,78800]]	$\begin{array}{c} x & y \\ 0 & 36500 \\ 5 & 53600 \\ 10 & 78800 \end{array}$
141121	Find the Function Rule	table[[x,y],[0,-4],[1,-3],[2,-2]]	$\begin{array}{c} x & y \\ 0 & - 4 \\ 1 & - 3 \\ 2 & - 2 \end{array}$
141122	Find the Function Rule	table[[x,y],[0.5,-0.5],[0,-2],[2,4]]	$\begin{array}{c} x & y \\ 0.5 & - 0.5 \\ 0 & - 2 \\ 2 & 4 \end{array}$
141123	Find the Function Rule	table[[x,y],[-1,1/7],[0,1],[1,7]]	$\begin{array}{c} x & y \\ - 1 & \frac{1}{7} \\ 0 & 1 \\ 1 & 7 \end{array}$
141124	Find the Function Rule	table[[x,y],[1,-15],[2,-45],[3,-135]]	$\begin{array}{c} x & y \\ 1 & - 15 \\ 2 & - 45 \\ 3 & - 135 \end{array}$
141125	Find the Function Rule	table[[x,y],[1,16],[2,8],[3,4]]	$\begin{array}{c} x & y \\ 1 & 16 \\ 2 & 8 \\ 3 & 4 \end{array}$
141126	Find the Function Rule	table[[x,y],[1,2],[2,5],[3,8]]	$\begin{array}{c} x & y \\ 1 & 2 \\ 2 & 5 \\ 3 & 8 \end{array}$
141127	Find the Function Rule	table[[x,y],[1,4],[2,5],[3,6]]	$\begin{array}{c} x & y \\ 1 & 4 \\ 2 & 5 \\ 3 & 6 \end{array}$
141128	Find the Function Rule	table[[x,y],[1,6],[2,9],[3,12]]	$\begin{array}{c} x & y \\ 1 & 6 \\ 2 & 9 \\ 3 & 12 \end{array}$
141129	Find the Function Rule	table[[x,y],[1,5],[2,12],[3,31]]	$\begin{array}{c} x & y \\ 1 & 5 \\ 2 & 12 \\ 3 & 31 \end{array}$
141130	Find the Function Rule	table[[x,y],[1,66],[2,72],[3,82]]	$\begin{array}{c} x & y \\ 1 & 66 \\ 2 & 72 \\ 3 & 82 \end{array}$
141131	Find the Function Rule	table[[x,y],[1,-7],[2,-28],[3,-63]]	$\begin{array}{c} x & y \\ 1 & - 7 \\ 2 & - 28 \\ 3 & - 63 \end{array}$
141132	Find the Function Rule	table[[x,y],[1,9],[2,18],[3,36]]	$\begin{array}{c} x & y \\ 1 & 9 \\ 2 & 18 \\ 3 & 36 \end{array}$
141133	Find the Function Rule	table[[x,y],[-20,-268],[-14,-196],[-8,-124]]	$\begin{array}{c} x & y \\ - 20 & - 268 \\ - 14 & - 196 \\ - 8 & - 124 \end{array}$
141134	Find the Function Rule	table[[x,y],[2,36],[3,81],[4,144]]	$\begin{array}{c} x & y \\ 2 & 36 \\ 3 & 81 \\ 4 & 144 \end{array}$
141135	Find the Function Rule	table[[x,y],[2,10],[4,5],[5,4]]	$\begin{array}{c} x & y \\ 2 & 10 \\ 4 & 5 \\ 5 & 4 \end{array}$
141136	Find the Function Rule	table[[x,y],[2,15],[6,13],[7,9],[8,8],[12,5]]	$\begin{array}{c} x & y \\ 2 & 15 \\ 6 & 13 \\ 7 & 9 \\ 8 & 8 \\ 12 & 5 \end{array}$
141137	Solve the Matrix Equation	[[-2,3],[4,-9]]z=[[-1,6],[17,-30]]	$[\begin{array}{c} - 2 & 3 \\ 4 & - 9 \end{array}] z = [\begin{array}{c} - 1 & 6 \\ 17 & - 30 \end{array}]$
141138	Solve the Matrix Equation	[[2,x],[6,0]]*[[y,3],[-2,2]]=[[1,3],[-6,18]]	$[\begin{array}{c} 2 & x \\ 6 & 0 \end{array}] \cdot [\begin{array}{c} y & 3 \\ - 2 & 2 \end{array}] = [\begin{array}{c} 1 & 3 \\ - 6 & 18 \end{array}]$
141139	Find the Function Rule	table[[x,y],[5,4],[6,1],[7,-2]]	$\begin{array}{c} x & y \\ 5 & 4 \\ 6 & 1 \\ 7 & - 2 \end{array}$
141140	Find the Function Rule	table[[x,y],[4,64],[5,100],[6,144]]	$\begin{array}{c} x & y \\ 4 & 64 \\ 5 & 100 \\ 6 & 144 \end{array}$
141141	Find the Function Rule	table[[x,y],[-3,9],[1,-7],[5,-23]]	$\begin{array}{c} x & y \\ - 3 & 9 \\ 1 & - 7 \\ 5 & - 23 \end{array}$
141142	Find the Function Rule	table[[x,y],[-4,0.0112],[-2,0.28],[0,7]]	$\begin{array}{c} x & y \\ - 4 & 0.0112 \\ - 2 & 0.28 \\ 0 & 7 \end{array}$
141143	Solve the Matrix Equation	1/2=[[12,-20],[36,-52]]	$\frac{1}{2} = [\begin{array}{c} 12 & - 20 \\ 36 & - 52 \end{array}]$
141144	Solve the System of @WORD	4/(c-2)-3/c<0	$\frac{4}{c - 2} - \frac{3}{c} < 0$
141145	Solve the System of @WORD	12<=5x+2<=27	$12 \leq 5 x + 2 \leq 27$
141146	Find the Inverse	[[2,7],[5,6]]	$[\begin{array}{c} 2 & 7 \\ 5 & 6 \end{array}]$
141147	Convert to Interval Notation	x^2+2x>=0	$x^{2} + 2 x \geq 0$
141148	Convert to Interval Notation	x^2-11x+18>0	$x^{2} - 11 x + 18 > 0$
141149	Convert to Interval Notation	\|3x+2\|>7	$\| 3 x + 2 \| > 7$
141150	Convert to Interval Notation	\|4-4x\|<=1	$\| 4 - 4 x \| \leq 1$
141151	Convert to Interval Notation	(x^2+3)/(2x)>=2	$\frac{x^{2} + 3}{2 x} \geq 2$
141152	Find the Power Set	A={8,1,2}	$A = {8, 1, 2}$
141153	Find the Cosine Given the Point	(( square root of 7)/4,3/4)	$(\frac{\sqrt{7}}{4}, \frac{3}{4})$
141154	Estimate	12.56+12.69	$12.56 + 12.69$
141155	Find the Cosine Given the Point	(8,3)	$(8, 3)$
141156	Find the Domain of the Sum of the Functions	f(x)=4x+5 , g(x)=3x+3	$f (x) = 4 x + 5$ , $g (x) = 3 x + 3$
141157	Find the Cosine Given the Point	(-20/29,-21/29)	$(- \frac{20}{29}, - \frac{21}{29})$
141158	Find the Cosine Given the Point	(- square root of 11,5)	$(- \sqrt{11}, 5)$
141159	Find the Leading Coefficient	a+8	$a + 8$
141160	Write in Standard Form	x^2+24x+y^2+10y+160=0	$x^{2} + 24 x + y^{2} + 10 y + 160 = 0$
141161	Write in Standard Form	x^2+4x-8y+12=0	$x^{2} + 4 x - 8 y + 12 = 0$
141162	Write in Standard Form	9x^2+4y^2-36x+8y+4=0	$9 x^{2} + 4 y^{2} - 36 x + 8 y + 4 = 0$
141163	Write in Standard Form	9x^2+9y^2-18x-6y+1=0	$9 x^{2} + 9 y^{2} - 18 x - 6 y + 1 = 0$
141164	Find the Leading Coefficient	1-2i	$1 - 2 i$
141165	Find the Leading Coefficient	4w^11-w^12	$4 w^{11} - w^{12}$
141166	Find the Leading Coefficient	-4xy	$- 4 x y$
141167	Find the Leading Coefficient	7y^5-y^13+1+6y^10	$7 y^{5} - y^{13} + 1 + 6 y^{10}$
141168	Find the Leading Coefficient	(2+x)^5	${(2 + x)}^{5}$
141169	Find the Leading Coefficient	(2x+3)^3	${(2 x + 3)}^{3}$
141170	Find the Inflection Points	f(x)=20-12x^2+4x^3	$f (x) = 20 - 12 x^{2} + 4 x^{3}$
141171	Write in Standard Form	x^2+y^2=2y	$x^{2} + y^{2} = 2 y$
141172	Write in Standard Form	x^2-6x+3y-3=0	$x^{2} - 6 x + 3 y - 3 = 0$
141173	Write in Standard Form	y^2+6x-4y-9=0	$y^{2} + 6 x - 4 y - 9 = 0$
141174	Write in Standard Form	y^2-4x-12y+4=0	$y^{2} - 4 x - 12 y + 4 = 0$
141175	Write in Standard Form	y^2-4y+12x+4=0	$y^{2} - 4 y + 12 x + 4 = 0$
141176	Find the Inflection Points	f(x)=24/(1+3e^(-1.3x))	$f (x) = \frac{24}{1 + 3 e^{- 1.3 x}}$
141177	Find the Inflection Points	f(x)=1/3x^3-x	$f (x) = \frac{1}{3} x^{3} - x$
141178	Find the Equation with a Point and y-intercept	(0,5)-9	$(0, 5) - 9$
141179	Find the Equation with a Point and y-intercept	(0,-7)	$(0, - 7)$
141180	Find the Equation with a Point and y-intercept	(0,8)	$(0, 8)$
141181	Find the Equation with a Point and y-intercept	(0,4)	$(0, 4)$
141182	Find the Equation with a Point and y-intercept	(0,-2) , m=2	$(0, - 2)$ , $m = 2$
141183	Find the Inverse	y=6x-2	$y = 6 x - 2$
141184	Find the Inverse	y=2x-4	$y = 2 x - 4$
141185	Find the Points of Intersection	y=2x+10x^2+y^2=65	$y = 2 x + 10 x^{2} + y^{2} = 65$
141186	Find the Points of Intersection	y=2x-3 y=-x+3	$y = 2 x - 3$ $y = - x + 3$
141187	Find the Points of Intersection	y=8x+3 x=7	$y = 8 x + 3$ $x = 7$
141188	Find the Points of Intersection	y=8x-4 x=4	$y = 8 x - 4$ $x = 4$
141189	Find the Points of Intersection	y=-9x-5y=-2x+1	$y = - 9 x - 5 y = - 2 x + 1$
141190	Find the Points of Intersection	y=3x-4x=9	$y = 3 x - 4 x = 9$
141191	Find the Points of Intersection	y=3xy=x^2-4	$y = 3 x y = x^{2} - 4$
141192	Find the Points of Intersection	y=4x-3y=-5x-4	$y = 4 x - 3 y = - 5 x - 4$
141193	Find the Points of Intersection	y=-5x+1y=3x-2	$y = - 5 x + 1 y = 3 x - 2$
141194	Find the Points of Intersection	y=-0.3x^2+3x , -2x+5.5y=19.5	$y = - 0.3 x^{2} + 3 x$ , $- 2 x + 5.5 y = 19.5$
141195	Find the Points of Intersection	y=2 square root of xy=3-x	$y = 2 \sqrt{x} y = 3 - x$
141196	Find the Points of Intersection	x^2+y^2=53(x-5)^2+y^2=58	$x^{2} + y^{2} = 53 {(x - 5)}^{2} + y^{2} = 58$
141197	Find the Points of Intersection	x-2y=-4x+2y=8	$x - 2 y = - 4 x + 2 y = 8$
141198	Find the Points of Intersection	-x-3y=1x+3y=-1	$- x - 3 y = 1 x + 3 y = - 1$
141199	Find the Points of Intersection	xy=6 , x-y=5	$x y = 6$ , $x - y = 5$
141200	Find the Points of Intersection	y^2+17y+x^2-3x-18=0y+17+(3x-18)/y=0	$y^{2} + 17 y + x^{2} - 3 x - 18 = 0 y + 17 + \frac{3 x - 18}{y} = 0$