Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
134301	Solve the Matrix Equation	[[4,5],[7,9]]x=[[3,-1],[4,3]]	$[\begin{array}{c} 4 & 5 \\ 7 & 9 \end{array}] x = [\begin{array}{c} 3 & - 1 \\ 4 & 3 \end{array}]$
134302	Find the Function Rule	table[[x,y],[1,1],[2,4],[3,7]]	$\begin{array}{c} x & y \\ 1 & 1 \\ 2 & 4 \\ 3 & 7 \end{array}$
134303	Find the Function Rule	table[[x,y],[1,6],[2,8],[3,10]]	$\begin{array}{c} x & y \\ 1 & 6 \\ 2 & 8 \\ 3 & 10 \end{array}$
134304	Find the Function Rule	table[[x,y],[1,6],[2,12],[3,24]]	$\begin{array}{c} x & y \\ 1 & 6 \\ 2 & 12 \\ 3 & 24 \end{array}$
134305	Find the Function Rule	table[[x,y],[1,-6],[2,-12],[3,-24]]	$\begin{array}{c} x & y \\ 1 & - 6 \\ 2 & - 12 \\ 3 & - 24 \end{array}$
134306	Find the Function Rule	table[[x,y],[1,-7],[2,-10],[3,-13]]	$\begin{array}{c} x & y \\ 1 & - 7 \\ 2 & - 10 \\ 3 & - 13 \end{array}$
134307	Solve the Matrix Equation	[[-20,16],[4,0],[9,-6]]-[[-5,1],[-6,7],[0,11]]=[[x,y],[10,-7],[9,-17]]	$[\begin{array}{c} - 20 & 16 \\ 4 & 0 \\ 9 & - 6 \end{array}] - [\begin{array}{c} - 5 & 1 \\ - 6 & 7 \\ 0 & 11 \end{array}] = [\begin{array}{c} x & y \\ 10 & - 7 \\ 9 & - 17 \end{array}]$
134308	Solve the Matrix Equation	[[-2,1],[0,1]][[x],[y]]=[[4],[2]]	$[\begin{array}{c} - 2 & 1 \\ 0 & 1 \end{array}] [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 4 \\ 2 \end{array}]$
134309	Solve the Matrix Equation	[[1,2],[2,1],[-3,4]]+x=[[5,-6],[1,0],[8,5]]	$[\begin{array}{c} 1 & 2 \\ 2 & 1 \\ - 3 & 4 \end{array}] + x = [\begin{array}{c} 5 & - 6 \\ 1 & 0 \\ 8 & 5 \end{array}]$
134310	Convert to Rectangular	8(cos(300)+isin(300))	$8 (\cos (300) + i \sin (300))$
134311	Convert to Rectangular	6(cos(240)+isin(240))	$6 (\cos (240) + i \sin (240))$
134312	Convert to Rectangular	6(cos(pi)+isin(pi))	$6 (\cos (π) + i \sin (π))$
134313	Convert to Rectangular	5(cos(315)+isin(315))	$5 (\cos (315) + i \sin (315))$
134314	Convert to Rectangular	5(cos(30)+isin(30))	$5 (\cos (30) + i \sin (30))$
134315	Convert to Rectangular	4(cos(90)+isin(90))	$4 (\cos (90) + i \sin (90))$
134316	Convert to Rectangular	5(cos((4pi)/3)+isin((4pi)/3))	$5 (\cos (\frac{4 π}{3}) + i \sin (\frac{4 π}{3}))$
134317	Convert to Rectangular	5(cos((2pi)/3)+isin((2pi)/3))	$5 (\cos (\frac{2 π}{3}) + i \sin (\frac{2 π}{3}))$
134318	Convert to Rectangular	r=-10cos(theta)	$r = - 10 \cos (θ)$
134319	Convert to Rectangular	rcos(theta)=6	$r \cos (θ) = 6$
134320	Divide Using Long Division	4598÷101	$4598 \div 101$
134321	Convert to Rectangular	(2(cos(240)+isin(240)))^4	${(2 (\cos (240) + i \sin (240)))}^{4}$
134322	Convert to Rectangular	(2(cos(15)+isin(15)))^3	${(2 (\cos (15) + i \sin (15)))}^{3}$
134323	Convert to Rectangular	2(cos(pi/4)+isin(pi/4))	$2 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
134324	Convert to Rectangular	12(cos((7pi)/4)+isin((7pi)/4))	$12 (\cos (\frac{7 π}{4}) + i \sin (\frac{7 π}{4}))$
134325	Convert to Rectangular	12(cos((2pi)/3)+isin((2pi)/3))	$12 (\cos (\frac{2 π}{3}) + i \sin (\frac{2 π}{3}))$
134326	Convert to Rectangular	2(cos(240)+isin(240))	$2 (\cos (240) + i \sin (240))$
134327	Convert to Rectangular	3(cos(300)+isin(300))	$3 (\cos (300) + i \sin (300))$
134328	Find the Slope and y-intercept	h(x)=-2x+7	$h (x) = - 2 x + 7$
134329	Find the Slope and y-intercept	f(x)=5x	$f (x) = 5 x$
134330	Find the Slope and y-intercept	f(x)=3x	$f (x) = 3 x$
134331	Find the Slope and y-intercept	f(x)=2x-1	$f (x) = 2 x - 1$
134332	Find the Slope and y-intercept	f(x)=-2x+7	$f (x) = - 2 x + 7$
134333	Find the Equation that Relates x and y	x=18 y=6	$x = 18$ $y = 6$
134334	Divide Using Long Division	8456÷22	$8456 \div 22$
134335	Convert to Rectangular	z=4(cos(135)+isin(135))	$z = 4 (\cos (135) + i \sin (135))$
134336	Find the Equation that Relates x and y	y=20 x=8	$y = 20$ $x = 8$
134337	Find the Slope and y-intercept	f(x)=1/4x-3	$f (x) = \frac{1}{4} x - 3$
134338	Find the Slope and y-intercept	f(x)=1/3x	$f (x) = \frac{1}{3} x$
134339	Find the Slope and y-intercept	f(x)=1/2x-3	$f (x) = \frac{1}{2} x - 3$
134340	Find the Perpendicular Line	y=-1 (8,-4)	$y = - 1$ $(8, - 4)$
134341	Determine if @POINT is a Solution	x^2+y=0 , y=5x^2 , (3,4)	$x^{2} + y = 0$ , $y = 5 x^{2}$ , $(3, 4)$
134342	Determine if @POINT is a Solution	y=3x-21 , (-7,0)	$y = 3 x - 21$ , $(- 7, 0)$
134343	Evaluate the Integral	integral of (m^4+5m) with respect to m	$\int (m^{4} + 5 m) d m$
134344	Rationalize the Numerator	square root of 7/2	$\sqrt{\frac{7}{2}}$
134345	Rationalize the Numerator	( cube root of 6)/( cube root of 5)	$\frac{\sqrt[3]{6}}{\sqrt[3]{5}}$
134346	Rationalize the Numerator	square root of 23/7	$\sqrt{\frac{23}{7}}$
134347	Determine if the Expression is a Perfect Square	4a^2-10a+25	$4 a^{2} - 10 a + 25$
134348	Determine if the Expression is a Perfect Square	4a^2-28a-49	$4 a^{2} - 28 a - 49$
134349	Determine if the Expression is a Perfect Square	512m^12n^15	$512 m^{12} n^{15}$
134350	Determine if the Expression is a Perfect Square	x^2+25	$x^{2} + 25$
134351	Determine if the Expression is a Perfect Square	a^2-8a-16	$a^{2} - 8 a - 16$
134352	Determine if the Expression is a Perfect Square	x^2-12x	$x^{2} - 12 x$
134353	Find the Roots/Zeros Using the Rational Roots Test	2x^3-19x^2+57x-54	$2 x^{3} - 19 x^{2} + 57 x - 54$
134354	Find the Roots/Zeros Using the Rational Roots Test	3x^3-2x^2-75x+50	$3 x^{3} - 2 x^{2} - 75 x + 50$
134355	Find the Roots/Zeros Using the Rational Roots Test	x^3+6x^2+11x+6	$x^{3} + 6 x^{2} + 11 x + 6$
134356	Find the Properties	(x^2)/576-(y^2)/49=1	$\frac{x^{2}}{576} - \frac{y^{2}}{49} = 1$
134357	Find the Roots/Zeros Using the Rational Roots Test	x^4-7x^3+11x^2+7x-12	$x^{4} - 7 x^{3} + 11 x^{2} + 7 x - 12$
134358	Determine if the Expression is a Perfect Square	25b^2-40b+16	$25 b^{2} - 40 b + 16$
134359	Find the Equation Using Slope-Intercept Form	m=-6 , b=-1/4	$m = - 6$ , $b = - \frac{1}{4}$
134360	Find the Equation Using Slope-Intercept Form	m=-7 , b=-1/8	$m = - 7$ , $b = - \frac{1}{8}$
134361	Find the Equation Using Slope-Intercept Form	m=7 , (8,8)	$m = 7$ , $(8, 8)$
134362	Find the Equation Using Slope-Intercept Form	m=-2 , b=6/5	$m = - 2$ , $b = \frac{6}{5}$
134363	Find the Equation Using Slope-Intercept Form	m=-2 , b=-1/10	$m = - 2$ , $b = - \frac{1}{10}$
134364	Find the Equation Using Slope-Intercept Form	m=5/2 , b=5	$m = \frac{5}{2}$ , $b = 5$
134365	Find the Equation Using Slope-Intercept Form	m=3/4 , (4,1)	$m = \frac{3}{4}$ , $(4, 1)$
134366	Find the Equation Using Slope-Intercept Form	m=2/5 , b=2	$m = \frac{2}{5}$ , $b = 2$
134367	Find the Equation Using Slope-Intercept Form	(5,3) , m=-3/4	$(5, 3)$ , $m = - \frac{3}{4}$
134368	Find the Equation Using Slope-Intercept Form	m=-1/10 , (-9,0)	$m = - \frac{1}{10}$ , $(- 9, 0)$
134369	Solve Using a Matrix by Elimination	x-2y=4-2x+4y=-8	$x - 2 y = 4 - 2 x + 4 y = - 8$
134370	Solve Using a Matrix by Elimination	x+y=9x-y=3	$x + y = 9 x - y = 3$
134371	Solve Using a Matrix by Elimination	4x-2y=-6 3x-6y=-18	$4 x - 2 y = - 6$ $3 x - 6 y = - 18$
134372	Solve Using a Matrix by Elimination	7x+y-z=78x+8y-7z=8	$7 x + y - z = 78 x + 8 y - 7 z = 8$
134373	Solve Using a Matrix by Elimination	9x+y-z=97x+7y-6z=7	$9 x + y - z = 97 x + 7 y - 6 z = 7$
134374	Solve Using a Matrix by Elimination	2x-3y=3-4x+6y=-6	$2 x - 3 y = 3 - 4 x + 6 y = - 6$
134375	Solve Using a Matrix by Elimination	3x+2y=4x-3y=-28	$3 x + 2 y = 4 x - 3 y = - 28$
134376	Cancel the Common Factors	(2x+12)/(x^2+7x+6)	$\frac{2 x + 12}{x^{2} + 7 x + 6}$
134377	Find the x and y Intercepts	y=x-3	$y = x - 3$
134378	Find the Equation Using Point-Slope Formula	(-1,3) , (14,8)	$(- 1, 3) (14, 8)$
134379	Find the Equation Using Point-Slope Formula	(0,0) , (-1/8,1/9)	$(0, 0)$ , $(- \frac{1}{8}, \frac{1}{9})$
134380	Find the Equation Using Point-Slope Formula	(-10,-7) , (-5,-9)	$(- 10, - 7)$ , $(- 5, - 9)$
134381	Find the Equation Using Point-Slope Formula	(10,3) , (6,31)	$(10, 3) (6, 31)$
134382	Find the Equation Using Point-Slope Formula	(5,-2) , (-16,4)	$(5, - 2)$ , $(- 16, 4)$
134383	Find the Equation Using Point-Slope Formula	m=-1/5 , (-6,0)	$m = - \frac{1}{5}$ , $(- 6, 0)$
134384	Find the Equation Using Point-Slope Formula	(9,-2) , (-3,2)	$(9, - 2) (- 3, 2)$
134385	Find the Equation Using Point-Slope Formula	(8,-3) , m=-1/4	$(8, - 3)$ , $m = - \frac{1}{4}$
134386	Find the Equation Using Point-Slope Formula	(-8,8) , (1,-10)	$(- 8, 8)$ , $(1, - 10)$
134387	Find the Equation Using Point-Slope Formula	(3,4) , (5,8)	$(3, 4) (5, 8)$
134388	Find the Equation Using Point-Slope Formula	m=7 , (6,6)	$m = 7$ , $(6, 6)$
134389	Find the Mode	62 , 21 , 64 , 268 , 93 , 108 , 114 , 33 , 52 , 64	$62$ , $21$ , $64$ , $268$ , $93$ , $108$ , $114$ , $33$ , $52$ , $64$
134390	Find the Mode	48 , 40 , 53 , 43 , 52 , 46	$48$ , $40$ , $53$ , $43$ , $52$ , $46$
134391	Find the Mode	7 , 6.1 , 6.7 , 3.9 , 6.1 , 6.2	$7$ , $6.1$ , $6.7$ , $3.9$ , $6.1$ , $6.2$
134392	Find the Mode	78 , 80 , 66 , 68 , 71 , 64 , 82 , 71 , 70 , 75 , 77 , 86 , 72	$78$ , $80$ , $66$ , $68$ , $71$ , $64$ , $82$ , $71$ , $70$ , $75$ , $77$ , $86$ , $72$
134393	Find the Mode	87 , 39 , 31 , 52 , 31	$87$ , $39$ , $31$ , $52$ , $31$
134394	Find the Mode	18 , 16 , 19 , 15 , 17	$18$ , $16$ , $19$ , $15$ , $17$
134395	Find the Mode	1 , 5 , 5 , 5 , 6 , 6.5 , 7 , 30	$1$ , $5$ , $5$ , $5$ , $6$ , $6.5$ , $7$ , $30$
134396	Find the Lower or First Quartile	56 , 32 , 48 , 52 , 51 , 53 , 48 , 38 , 35 , 42 , 40 , 46 , 54 , 50	$56$ , $32$ , $48$ , $52$ , $51$ , $53$ , $48$ , $38$ , $35$ , $42$ , $40$ , $46$ , $54$ , $50$
134397	Find the Lower or First Quartile	79 , 70 , 73 , 84 , 83 , 88 , 75 , 72 , 76 , 68 , 68 , 79 , 84 , 74 , 75 , 85 , 67 , 78 , 69 , 80	$79$ , $70$ , $73$ , $84$ , $83$ , $88$ , $75$ , $72$ , $76$ , $68$ , $68$ , $79$ , $84$ , $74$ , $75$ , $85$ , $67$ , $78$ , $69$ , $80$
134398	Find the Lower or First Quartile	29 , 21 , 17 , 10 , 15 , 27 , 22 , 30	$29$ , $21$ , $17$ , $10$ , $15$ , $27$ , $22$ , $30$
134399	Round to the Nearest Whole Number	3.14	$3.14$
134400	Round to the Nearest Whole Number	2.1	$2.1$