Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10101	Find the Domain and Range	y=x^2+7	$y = x^{2} + 7$
10102	Find the Domain and Range	y=x^2-12x	$y = x^{2} - 12 x$
10103	Find the Domain and Range	y=x^2-6x+1	$y = x^{2} - 6 x + 1$
10104	Find the Domain and Range	y=x^2-7x+10	$y = x^{2} - 7 x + 10$
10105	Find the Domain and Range	y=\|x+1\|	$y = \| x + 1 \|$
10106	Find the Domain and Range	y=0.62x	$y = 0.62 x$
10107	Find the Domain and Range	y=2x^2+28x-8	$y = 2 x^{2} + 28 x - 8$
10108	Find the Domain and Range	y=-2x^2-24x-67	$y = - 2 x^{2} - 24 x - 67$
10109	Find the Domain and Range	y=2+ square root of 1x	$y = 2 + \sqrt{1 x}$
10110	Find the Domain and Range	y=2sin(x)	$y = 2 \sin (x)$
10111	Find the Domain and Range	y=3x+5	$y = 3 x + 5$
10112	Find the Domain and Range	y=4- square root of x	$y = 4 - \sqrt{x}$
10113	Find the Domain and Range	y=-6cos(4x)	$y = - 6 \cos (4 x)$
10114	Find the Domain and Range	y=- log of x+2-3	$y = - \log (x + 2) - 3$
10115	Find the Domain and Range	y = square root of 4x+8	$y = \sqrt{4 x} + 8$
10116	Find the Domain and Range	y-4=3(x+2)	$y - 4 = 3 (x + 2)$
10117	Find the Domain and Range	square root of 4-x+ square root of x^2-9=y	$\sqrt{4 - x} + \sqrt{x^{2} - 9} = y$
10118	Find the Domain and Range	x^2+y^2+8x+2y+8=0	$x^{2} + y^{2} + 8 x + 2 y + 8 = 0$
10119	Find the Domain and Range	x=-\|y\|	$x = - \| y \|$
10120	Find the Domain and Range	y = square root of x^3+3x^2+3x- square root of x^3+3x^2+3x	$y = \sqrt{x^{3} + 3 x^{2} + 3 x} - \sqrt{x^{3} + 3 x^{2} + 3 x}$
10121	Find the Domain and Range	y = square root of x-4+7	$y = \sqrt{x - 4} + 7$
10122	Find the Domain and Range	y=3x-8	$y = 3 x - 8$
10123	Find the Domain and Range	y=9x+1/x	$y = 9 x + \frac{1}{x}$
10124	Find the Domain and Range	y=sin(arccos(3x))	$y = \sin (\arccos (3 x))$
10125	Convert from Interval to Inequality	(-7/9,1/2)	$(- \frac{7}{9}, \frac{1}{2})$
10126	Convert from Interval to Inequality	(0,4)	$(0, 4)$
10127	Convert from Interval to Inequality	(0,5)	$(0, 5)$
10128	Convert from Interval to Inequality	(0,e)	$(0, e)$
10129	Convert from Interval to Inequality	(-3,-2)	$(- 3, - 2)$
10130	Convert from Interval to Inequality	(3,8)	$(3, 8)$
10131	Find the Remainder	(-5-4x)/(x^3+6x^2+8x)	$\frac{- 5 - 4 x}{x^{3} + 6 x^{2} + 8 x}$
10132	Find the Remainder	(6x^3-8x^2+1)/(x+2)	$\frac{6 x^{3} - 8 x^{2} + 1}{x + 2}$
10133	Find the Remainder	x/(x+6)	$\frac{x}{x + 6}$
10134	Find the Remainder	(x-1)/(x-2)	$\frac{x - 1}{x - 2}$
10135	Find the Remainder	(z+4)/(z-4)	$\frac{z + 4}{z - 4}$
10136	Find the Quadratic Constant of Variation	x=1 , y=-2	$x = 1$ , $y = - 2$
10137	Find the Quadratic Constant of Variation	x=2 , y=-3	$x = 2$ , $y = - 3$
10138	Find the Quadratic Constant of Variation	x=7 , y=6	$x = 7$ , $y = 6$
10139	Find the Quadratic Constant of Variation	(18y+3x)/(5x+y)=2	$\frac{18 y + 3 x}{5 x + y} = 2$
10140	Find the Quadratic Constant of Variation	f(x)=3^x-5	$f (x) = 3^{x} - 5$
10141	Find the Quadratic Constant of Variation	p(x)=40000-6x	$p (x) = 40000 - 6 x$
10142	Find the Quadratic Constant of Variation	y = square root of 9x+45+2	$y = \sqrt{9 x + 45} + 2$
10143	Find the Quadratic Constant of Variation	y=-x^2+50x-70	$y = - x^{2} + 50 x - 70$
10144	Find the Quadratic Constant of Variation	y=2x-0.5x^2-x	$y = 2 x - 0.5 x^{2} - x$
10145	Find the Quadratic Constant of Variation	y=-4\|x+2\|-5	$y = - 4 \| x + 2 \| - 5$
10146	Find the Equation of Variation	1/4x+4y=8 , x+16y=9	$\frac{1}{4} x + 4 y = 8$ , $x + 16 y = 9$
10147	Find the Equation of Variation	7/4x-5/2y=2 , 1/4x+7/2y=8	$\frac{7}{4} x - \frac{5}{2} y = 2$ , $\frac{1}{4} x + \frac{7}{2} y = 8$
10148	Find the Equation of Variation	x-x^2=2 , x^2=1 , -x+x^3=1	$x - x^{2} = 2$ , $x^{2} = 1$ , $- x + x^{3} = 1$
10149	Find the Equation of Variation	x^2+y^2=1 , x^2+16y^2=16	$x^{2} + y^{2} = 1$ , $x^{2} + 16 y^{2} = 16$
10150	Find the Equation of Variation	x^2+y^2=25 , (x-8)^2+y^2=41	$x^{2} + y^{2} = 25$ , ${(x - 8)}^{2} + y^{2} = 41$
10151	Find the Equation of Variation	x^2+y^2=36 , y^2-4x=36	$x^{2} + y^{2} = 36$ , $y^{2} - 4 x = 36$
10152	Find the Equation of Variation	x^2+yz=1 , y(x+w)=0 , z(x+w)=0 , yz+w^2=1 , y=0 , z=0	$x^{2} + y \cdot z = 1$ , $y \cdot (x + w) = 0$ , $z \cdot (x + w) = 0$ , $y \cdot z + w^{2} = 1$ , $y = 0$ , $z = 0$
10153	Find the Equation of Variation	-10x-15y-z=1 , -6x-25y-2z=43 , 8x+15y+z=-9	$- 10 x - 15 y - z = 1$ , $- 6 x - 25 y - 2 z = 43$ , $8 x + 15 y + z = - 9$
10154	Find the Equation of Variation	10x-7y=-46 , -4x-5y=34	$10 x - 7 y = - 46$ , $- 4 x - 5 y = 34$
10155	Find the Equation of Variation	-10x-9y-z=14 , -6x-15y-2z=55 , 8x+9y+z=-20	$- 10 x - 9 y - z = 14$ , $- 6 x - 15 y - 2 z = 55$ , $8 x + 9 y + z = - 20$
10156	Find the Equation of Variation	25x1-30x2=5 , 10x1+12x2=2	$25 x \cdot 1 - 30 x \cdot 2 = 5$ , $10 x \cdot 1 + 12 x \cdot 2 = 2$
10157	Find the Equation of Variation	25x+100y+175z+200w=2600 , 40x+120y+200z+240w=3040 , 40x+110y+190z+210w=2840	$25 x + 100 y + 175 z + 200 w = 2600$ , $40 x + 120 y + 200 z + 240 w = 3040$ , $40 x + 110 y + 190 z + 210 w = 2840$
10158	Find the Equation of Variation	2x1-x2-x3=-1 , 3x1+2x2+x3=16 , x1+2x2+2x*3=12	$2 x \cdot 1 - x \cdot 2 - x \cdot 3 = - 1$ , $3 x \cdot 1 + 2 x \cdot 2 + x \cdot 3 = 16$ , $x \cdot 1 + 2 x \cdot 2 + 2 x \cdot 3 = 12$
10159	Find the Equation of Variation	-2x+2y-6z=-10 , x-y+3z=5	$- 2 x + 2 y - 6 z = - 10$ , $x - y + 3 z = 5$
10160	Find the Equation of Variation	2x+4y=-6 , -3x-5y=12	$2 x + 4 y = - 6$ , $- 3 x - 5 y = 12$
10161	Find the Equation of Variation	2x+5y=3 , 8x+20y=12	$2 x + 5 y = 3$ , $8 x + 20 y = 12$
10162	Find the Equation of Variation	2x-y=4 , 3x+y=-7	$2 x - y = 4$ , $3 x + y = - 7$
10163	Find the Equation of Variation	3x1+11x2-29x3=-17 , 2x1+24x2-62x3=-4 , x1+7x2-18x*3=-4	$3 x \cdot 1 + 11 x \cdot 2 - 29 x \cdot 3 = - 17$ , $2 x \cdot 1 + 24 x \cdot 2 - 62 x \cdot 3 = - 4$ , $x \cdot 1 + 7 x \cdot 2 - 18 x \cdot 3 = - 4$
10164	Find the Equation of Variation	3x1(2x2)=9 , 6x1-5x*2=9	$3 x \cdot 1 \cdot (2 x \cdot 2) = 9$ , $6 x \cdot 1 - 5 x \cdot 2 = 9$
10165	Find the Equation of Variation	3x+15y=9 , y=-1/5x+9/15	$3 x + 15 y = 9$ , $y = - \frac{1}{5} x + \frac{9}{15}$
10166	Find the Equation of Variation	3x-2y+4z=17 , 2x+y-2z=-5 , x+4y-8z=-27	$3 x - 2 y + 4 z = 17$ , $2 x + y - 2 z = - 5$ , $x + 4 y - 8 z = - 27$
10167	Find the Equation of Variation	3x-3y=12 , 2x+y=10	$3 x - 3 y = 12$ , $2 x + y = 10$
10168	Find the Equation of Variation	3x-6y+6z=-3 , -6+12y-12z=6 , 6x-12y+12z=-6	$3 x - 6 y + 6 z = - 3$ , $- 6 + 12 y - 12 z = 6$ , $6 x - 12 y + 12 z = - 6$
10169	Find the Equation of Variation	3x-9y=21 , -2x+6y=-14	$3 x - 9 y = 21$ , $- 2 x + 6 y = - 14$
10170	Find the Equation of Variation	4x+2y=-6 , 3x+6y=-9	$4 x + 2 y = - 6$ , $3 x + 6 y = - 9$
10171	Find the Equation of Variation	4x+7y=3 , 8x-y=-6	$4 x + 7 y = 3$ , $8 x - y = - 6$
10172	Find the Equation of Variation	5x+3y=2700 , -3x-3y=2100	$5 x + 3 y = 2700$ , $- 3 x - 3 y = 2100$
10173	Find the Equation of Variation	5x+9y=0 , 6x+6y=2	$5 x + 9 y = 0$ , $6 x + 6 y = 2$
10174	Find the Equation of Variation	5x+y=7 , x-y=5	$5 x + y = 7$ , $x - y = 5$
10175	Find the Equation of Variation	5x-2y=11 , 2x+5y=16	$5 x - 2 y = 11$ , $2 x + 5 y = 16$
10176	Find the Equation of Variation	5x-5y+7z=8 , -10x+10y-14z=-14 , 10x-10y+14z=14	$5 x - 5 y + 7 z = 8$ , $- 10 x + 10 y - 14 z = - 14$ , $10 x - 10 y + 14 z = 14$
10177	Find the Equation of Variation	5x-7y=-58 , 7x+5y=52	$5 x - 7 y = - 58$ , $7 x + 5 y = 52$
10178	Find the Equation of Variation	-7x+3y=4 , 4x-5y=24	$- 7 x + 3 y = 4$ , $4 x - 5 y = 24$
10179	Find the Equation of Variation	8x+y=1360 , 4x+3y=4200	$8 x + y = 1360$ , $4 x + 3 y = 4200$
10180	Find the Equation of Variation	8x-4y=3 , -20x+10y=9	$8 x - 4 y = 3$ , $- 20 x + 10 y = 9$
10181	Find the Equation of Variation	x+2y+3z=92 , 3y+4z=36	$x + 2 y + 3 z = 92$ , $3 y + 4 z = 36$
10182	Find the Equation of Variation	x+2y=0 , 3x+7y+z=1 , 6x+24y+12z=12	$x + 2 y = 0$ , $3 x + 7 y + z = 1$ , $6 x + 24 y + 12 z = 12$
10183	Find the Equation of Variation	x+4y+z=2 , x+2y+3z=2 , 4x+7y+9z=0	$x + 4 y + z = 2$ , $x + 2 y + 3 z = 2$ , $4 x + 7 y + 9 z = 0$
10184	Find Pivot Positions and Pivot Columns	[[7,-1,-6,8],[-6,-25,-2,34],[8,15,1,12]]	$[\begin{array}{c} 7 & - 1 & - 6 & 8 \\ - 6 & - 25 & - 2 & 34 \\ 8 & 15 & 1 & 12 \end{array}]$
10185	Find Pivot Positions and Pivot Columns	[[-8,4,12],[4,-2,-6]]	$[\begin{array}{c} - 8 & 4 & 12 \\ 4 & - 2 & - 6 \end{array}]$
10186	Find Pivot Positions and Pivot Columns	[[9,14,1,0,0,0,1568],[24,10,0,1,0,0,1448],[51,3,0,0,1,0,1836],[-6,-1,0,0,0,1,0]]	$[\begin{array}{c} 9 & 14 & 1 & 0 & 0 & 0 & 1568 \\ 24 & 10 & 0 & 1 & 0 & 0 & 1448 \\ 51 & 3 & 0 & 0 & 1 & 0 & 1836 \\ - 6 & - 1 & 0 & 0 & 0 & 1 & 0 \end{array}]$
10187	Find Pivot Positions and Pivot Columns	[[9,29,5,17],[4,13,5,-1],[1,3,-5,9]]	$[\begin{array}{c} 9 & 29 & 5 & 17 \\ 4 & 13 & 5 & - 1 \\ 1 & 3 & - 5 & 9 \end{array}]$
10188	Find Pivot Positions and Pivot Columns	[[1,-6,-7],[0,0,0]]	$[\begin{array}{c} 1 & - 6 & - 7 \\ 0 & 0 & 0 \end{array}]$
10189	Find Pivot Positions and Pivot Columns	[[1],[14]]	$[\begin{array}{c} 1 \\ 14 \end{array}]$
10190	Find Pivot Positions and Pivot Columns	[[10,0,a],[0,10,b]]	$[\begin{array}{c} 10 & 0 & a \\ 0 & 10 & b \end{array}]$
10191	Find Pivot Positions and Pivot Columns	[[2,1,7],[-3,-2,-1]]	$[\begin{array}{c} 2 & 1 & 7 \\ - 3 & - 2 & - 1 \end{array}]$
10192	Find Pivot Positions and Pivot Columns	[[2,3,-1],[5,-2,26]]	$[\begin{array}{c} 2 & 3 & - 1 \\ 5 & - 2 & 26 \end{array}]$
10193	Find Pivot Positions and Pivot Columns	[[2x+3y=-1],[3x+4y=0]]	$[\begin{array}{c} 2 x + 3 y = - 1 \\ 3 x + 4 y = 0 \end{array}]$
10194	Find Pivot Positions and Pivot Columns	[[-5,1,18],[1,2,8]]	$[\begin{array}{c} - 5 & 1 & 18 \\ 1 & 2 & 8 \end{array}]$
10195	Find Pivot Positions and Pivot Columns	[[5,5]]	$[\begin{array}{c} 5 & 5 \end{array}]$
10196	Find Pivot Positions and Pivot Columns	[[5,6,8,1,1,0,0,20],[3,7,6,2,0,1,0,10],[1,8,8,2,0,0,0,21],[0,-3,-1,1,0,0,1,18]]	$[\begin{array}{c} 5 & 6 & 8 & 1 & 1 & 0 & 0 & 20 \\ 3 & 7 & 6 & 2 & 0 & 1 & 0 & 10 \\ 1 & 8 & 8 & 2 & 0 & 0 & 0 & 21 \\ 0 & - 3 & - 1 & 1 & 0 & 0 & 1 & 18 \end{array}]$
10197	Find Pivot Positions and Pivot Columns	[[500,50,3000,1,0,0,0,0,9000],[1,0,0,0,1,0,0,0,40],[0,1,0,0,0,1,0,0,60],[0,0,1,0,0,0,1,0,20],[-5000,-3000,-12000,0,0,0,0,1,0]]	$[\begin{array}{c} 500 & 50 & 3000 & 1 & 0 & 0 & 0 & 0 & 9000 \\ 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 40 \\ 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 60 \\ 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 20 \\ - 5000 & - 3000 & - 12000 & 0 & 0 & 0 & 0 & 1 & 0 \end{array}]$
10198	Find Pivot Positions and Pivot Columns	[[6,0,5,-12],[0,1,-2,15],[5,6,0,3]]	$[\begin{array}{c} 6 & 0 & 5 & - 12 \\ 0 & 1 & - 2 & 15 \\ 5 & 6 & 0 & 3 \end{array}]$
10199	Find Pivot Positions and Pivot Columns	[[6,3,8,1,0,0,0,784],[1,1,2,0,1,0,0,140],[4,5,0,0,0,1,0,504],[-60,-50,-100,0,0,0,1,0]]	$[\begin{array}{c} 6 & 3 & 8 & 1 & 0 & 0 & 0 & 784 \\ 1 & 1 & 2 & 0 & 1 & 0 & 0 & 140 \\ 4 & 5 & 0 & 0 & 0 & 1 & 0 & 504 \\ - 60 & - 50 & - 100 & 0 & 0 & 0 & 1 & 0 \end{array}]$
10200	Find Pivot Positions and Pivot Columns	[[1,12,4,1,0,0,56],[2,3,1,0,1,0,9],[-1,-9,-2,0,0,1,0]]	$[\begin{array}{c} 1 & 12 & 4 & 1 & 0 & 0 & 56 \\ 2 & 3 & 1 & 0 & 1 & 0 & 9 \\ - 1 & - 9 & - 2 & 0 & 0 & 1 & 0 \end{array}]$