Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
131801	Solve the Matrix Equation	8x-[[18,5],[-12,10],[18,60]]=[[22,-13],[-20,30],[54,4]]	$8 x - [\begin{array}{c} 18 & 5 \\ - 12 & 10 \\ 18 & 60 \end{array}] = [\begin{array}{c} 22 & - 13 \\ - 20 & 30 \\ 54 & 4 \end{array}]$
131802	Solve the Matrix Equation	3x+[[-1,-2],[10,-7]]=[[-13,-2],[-5,14]]	$3 x + [\begin{array}{c} - 1 & - 2 \\ 10 & - 7 \end{array}] = [\begin{array}{c} - 13 & - 2 \\ - 5 & 14 \end{array}]$
131803	Find the Center	x^2-y^2-4x-6y-9=0	$x^{2} - y^{2} - 4 x - 6 y - 9 = 0$
131804	Find the End Behavior	f(x)=x^4-16x^2	$f (x) = x^{4} - 16 x^{2}$
131805	Find the Center	(x^2)/49+(y^2)/81=1	$\frac{x^{2}}{49} + \frac{y^{2}}{81} = 1$
131806	Find the Center	-4x^2+y^2+16x+12y+16=0	$- 4 x^{2} + y^{2} + 16 x + 12 y + 16 = 0$
131807	Find the Center	36y^2-25x^2=900	$36 y^{2} - 25 x^{2} = 900$
131808	Find the Center	3x^2-4y^2-6x-16y+7=0	$3 x^{2} - 4 y^{2} - 6 x - 16 y + 7 = 0$
131809	Find the Center	25x^2+16y^2=400	$25 x^{2} + 16 y^{2} = 400$
131810	Find the Center	16x^2+25y^2-32x+150y-159=0	$16 x^{2} + 25 y^{2} - 32 x + 150 y - 159 = 0$
131811	Find the Center	(x^2)/64+((y-6)^2)/121=1	$\frac{x^{2}}{64} + \frac{{(y - 6)}^{2}}{121} = 1$
131812	Find the Function Rule	table[[x,y],[1,1],[2,8],[3,27]]	$\begin{array}{c} x & y \\ 1 & 1 \\ 2 & 8 \\ 3 & 27 \end{array}$
131813	Find the Function Rule	table[[x,y],[1,6],[2,18],[3,54]]	$\begin{array}{c} x & y \\ 1 & 6 \\ 2 & 18 \\ 3 & 54 \end{array}$
131814	Write as a Function of r	r^(2/7)=4	$r^{\frac{2}{7}} = 4$
131815	Write as a Function of x	6x+y=4x+11y	$6 x + y = 4 x + 11 y$
131816	Write as a Function of x	x=3y	$x = 3 y$
131817	Convert to Set Notation	[3,5]	$[3, 5]$
131818	Write as a Function of z	z=6.2+37i	$z = 6.2 + 37 i$
131819	Evaluate Using Scientific Notation	(4.110^6)(1.510^-3)	$(4.1 \cdot 10^{6}) (1.5 \cdot 10^{- 3})$
131820	Evaluate Using Scientific Notation	0.7(3.6*10^-2)	$0.7 (3.6 \cdot 10^{- 2})$
131821	Evaluate Using Scientific Notation	(-3.110^-7)(-4.710^-15)	$(- 3.1 \cdot 10^{- 7}) (- 4.7 \cdot 10^{- 15})$
131822	Evaluate Using Scientific Notation	(1.2*10^-5)÷4	$(1.2 \cdot 10^{- 5}) \div 4$
131823	Find the Median	2717 , 1972 , 1667 , 1614 , 1588 , 1483 , 1483 , 1476	$2717$ , $1972$ , $1667$ , $1614$ , $1588$ , $1483$ , $1483$ , $1476$
131824	Find the Median	2717 , 1972 , 1667 , 1614 , 1588 , 1483 , 1483 , 1476 , 1451 , 1449	$2717$ , $1972$ , $1667$ , $1614$ , $1588$ , $1483$ , $1483$ , $1476$ , $1451$ , $1449$
131825	Find the Median	24 , 2 , 13 , 12 , 2 , 5 , 10 , 18	$24$ , $2$ , $13$ , $12$ , $2$ , $5$ , $10$ , $18$
131826	Determine if Dependent, Independent, or Inconsistent	x+y=4x-y=2	$x + y = 4 x - y = 2$
131827	Find the Distance Between Two Points	(-4,7) , (4,0)	$(- 4, 7) (4, 0)$
131828	Find the Distance Between Two Points	(-3,-2) , (2,3)	$(- 3, - 2) (2, 3)$
131829	Find the Distance Between Two Points	(19,-16) , (-7,-15)	$(19, - 16)$ , $(- 7, - 15)$
131830	Find the Eccentricity	(x^2)/9+(y^2)/16=1	$\frac{x^{2}}{9} + \frac{y^{2}}{16} = 1$
131831	Reduce	(y^2+5y)/(y^2+10y+25)	$\frac{y^{2} + 5 y}{y^{2} + 10 y + 25}$
131832	Solve by Addition/Elimination	y=3x+812x-4y=-32	$y = 3 x + 812 x - 4 y = - 32$
131833	Solve by Addition/Elimination	x^2+y^2=61x^2-y^2=11	$x^{2} + y^{2} = 61 x^{2} - y^{2} = 11$
131834	Solve by Addition/Elimination	x^2+y^2=80x^2-y^2=48	$x^{2} + y^{2} = 80 x^{2} - y^{2} = 48$
131835	Solve by Addition/Elimination	6x-14y=169x-21y=24	$6 x - 14 y = 169 x - 21 y = 24$
131836	Solve by Addition/Elimination	5x+60y=35x+y=1.5	$5 x + 60 y = 35 x + y = 1.5$
131837	Solve by Addition/Elimination	-4(x-3y)=y+62x-2=5y	$- 4 (x - 3 y) = y + 62 x - 2 = 5 y$
131838	Solve by Addition/Elimination	3x-9y=122x-6y=8	$3 x - 9 y = 122 x - 6 y = 8$
131839	Find the LCD	6/(5x^2y)+5/(10xy^2)	$\frac{6}{5 x^{2} y} + \frac{5}{10 x y^{2}}$
131840	Find the Slope and y-intercept	(-3,2) , (-2,0)	$(- 3, 2) (- 2, 0)$
131841	Find the Behavior (Leading Coefficient Test)	f(x)=(x-3)^2(x+5)(x-2)^3	$f (x) = {(x - 3)}^{2} (x + 5) {(x - 2)}^{3}$
131842	Find the Symmetry	y=3x^3	$y = 3 x^{3}$
131843	Find the Symmetry	x^2+y^2=11	$x^{2} + y^{2} = 11$
131844	Convert to Rectangular	12(cos(pi/3)+isin(pi/3))	$12 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))$
131845	Convert to Rectangular	32(cos(pi/3)+isin(pi/3))	$32 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))$
131846	Find the Slope and y-intercept	f(x)=5x-3	$f (x) = 5 x - 3$
131847	Find Any Equation Parallel to the Line	y=4x-2	$y = 4 x - 2$
131848	Find Any Equation Parallel to the Line	y=2x-1	$y = 2 x - 1$
131849	Find the Sample Standard Deviation	12 , 13 , 14 , 15 , 16	$12$ , $13$ , $14$ , $15$ , $16$
131850	Determine if Odd, Even, or Neither	2x^5	$2 x^{5}$
131851	Determine if Odd, Even, or Neither	x^5+5x^3+15	$x^{5} + 5 x^{3} + 15$
131852	Find the Next Term	2 , 6 , 18 , 54 , 162 , 486 , 1458	$2$ , $6$ , $18$ , $54$ , $162$ , $486$ , $1458$
131853	Find the Next Term	1/12 , 4/15 , 9/18 , 16/21	$\frac{1}{12}$ , $\frac{4}{15}$ , $\frac{9}{18}$ , $\frac{16}{21}$
131854	Find the Next Term	3 , 9 , 27 , 81 , 243	$3$ , $9$ , $27$ , $81$ , $243$
131855	Rationalize the Numerator	square root of 7/3	$\sqrt{\frac{7}{3}}$
131856	Verify the Identity	sec(x)^2-csc(x)^2=tan(x)^2-cot(x)^2	$\sec^{2} (x) - \csc^{2} (x) = \tan^{2} (x) - \cot^{2} (x)$
131857	Expand Using Sum/Difference Formulas	sin(345)	$\sin (345)$
131858	Graph the Interval	[-1,1]	$[- 1, 1]$
131859	Identify the Conic	-9x^2+y^2-72x-153=0	$- 9 x^{2} + y^{2} - 72 x - 153 = 0$
131860	Identify the Conic	8x^2+10xy-3y^2-2x+4y-2=0	$8 x^{2} + 10 x y - 3 y^{2} - 2 x + 4 y - 2 = 0$
131861	Write the Fraction in Simplest Form	32 3/5	$32 \frac{3}{5}$
131862	Write the Fraction in Simplest Form	(4^6)(4^-8)	$(4^{6}) (4^{- 8})$
131863	Write the Fraction in Simplest Form	20/28	$\frac{20}{28}$
131864	Write the Fraction in Simplest Form	square root of 9/16	$\sqrt{\frac{9}{16}}$
131865	Write the Fraction in Simplest Form	square root of 3/10	$\sqrt{\frac{3}{10}}$
131866	Write the Fraction in Simplest Form	0.4	$0.4$
131867	Write the Fraction in Simplest Form	2 1/4	$2 \frac{1}{4}$
131868	Write the Fraction in Simplest Form	cube root of 4^2	$\sqrt[3]{4^{2}}$
131869	Write the Fraction in Simplest Form	14/21	$\frac{14}{21}$
131870	Write the Fraction in Simplest Form	(-12+ square root of -45)/24	$\frac{- 12 + \sqrt{- 45}}{24}$
131871	Write the Fraction in Simplest Form	12/18	$\frac{12}{18}$
131872	Find the Mode	6 , 4 , 1 , 9 , 3 , 8 , 3 , 5 , 10	$6$ , $4$ , $1$ , $9$ , $3$ , $8$ , $3$ , $5$ , $10$
131873	Find f(g(x))	f(x)=x+4 , g(x)=2x^2-7x-4	$f (x) = x + 4$ , $g (x) = 2 x^{2} - 7 x - 4$
131874	Find P(P(a))	P(a)=1/4 , P(b)=2/5	$P (a) = \frac{1}{4}$ , $P (b) = \frac{2}{5}$
131875	Find the Derivative - d/dy	x^2+y^2-2x-4y+3	$x^{2} + y^{2} - 2 x - 4 y + 3$
131876	Find the Equation of the Parabola	(2,-33) , (4,5) , (5,39)	$(2, - 33)$ , $(4, 5)$ , $(5, 39)$
131877	Find Where Undefined/Discontinuous	f(x)=(x-3)/(x^2-9)	$f (x) = \frac{x - 3}{x^{2} - 9}$
131878	Find Where Undefined/Discontinuous	f(x)=(x-6)/(x^2-36)	$f (x) = \frac{x - 6}{x^{2} - 36}$
131879	Convert to Rectangular Coordinates	(5,(7pi)/6)	$(5, \frac{7 π}{6})$
131880	Convert to Rectangular Coordinates	(6,(4pi)/3)	$(6, \frac{4 π}{3})$
131881	Find the Constant of Variation	4y=16x	$4 y = 16 x$
131882	Find the LCD	-5/(2x) , 10/(5x)	$\frac{- 5}{2 x}$ , $\frac{10}{5 x}$
131883	Find the LCD	(5+m)/(8m^4n^2) , (5+n)/(18m^2n^4)	$\frac{5 + m}{8 m^{4} n^{2}}$ , $\frac{5 + n}{18 m^{2} n^{4}}$
131884	Find the LCD	(7x)/(6x+18) , -2/(x+3)	$\frac{7 x}{6 x + 18}$ , $\frac{- 2}{x + 3}$
131885	Find the LCD	10/x , (9x)/(x+7)	$\frac{10}{x}$ , $\frac{9 x}{x + 7}$
131886	Find the LCD	12/(x^2-3x) ; 5/((x-3)(x-2))	$\frac{12}{x^{2} - 3 x}$ ; $\frac{5}{(x - 3) (x - 2)}$
131887	Find the GCF	10x^2y^2-8xy	$10 x^{2} y^{2} - 8 x y$
131888	Find the GCF	12x-32	$12 x - 32$
131889	Find the GCF	91x^10+39x^5	$91 x^{10} + 39 x^{5}$
131890	Find the GCF	72m^4n^4	$72 m^{4} n^{4}$
131891	Find the GCF	5h^3+20h^2	$5 h^{3} + 20 h^{2}$
131892	Find the GCF	x^4+9x^3+14x^2	$x^{4} + 9 x^{3} + 14 x^{2}$
131893	Find the 5th Term	29 , 38 , 47 , 56	$29$ , $38$ , $47$ , $56$
131894	Find the Fourth Term	128 , 32 , 8	$128$ , $32$ , $8$
131895	Find the 7th Term	2 , 6 , 18 , 54 , 162 , 486	$2$ , $6$ , $18$ , $54$ , $162$ , $486$
131896	Find the Degree	f(x)=(x+2)^4(x-1)^3(x-3)	$f (x) = {(x + 2)}^{4} {(x - 1)}^{3} (x - 3)$
131897	Find the Equation Using Slope-Intercept Form	m=9 , b=2	$m = 9$ , $b = 2$
131898	Multiply the Matrices	[[4,8],[1,3]][[9,3]]	$[\begin{array}{c} 4 & 8 \\ 1 & 3 \end{array}] [\begin{array}{c} 9 & 3 \end{array}]$
131899	Combine	square root of 16a- square root of 49a+ square root of 81a	$\sqrt{16 a} - \sqrt{49 a} + \sqrt{81 a}$
131900	Solve Using a Matrix by Elimination	-4x-2y=-124x+8y=-24	$- 4 x - 2 y = - 124 x + 8 y = - 24$