Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
128101	Find the Slope and y-intercept	f(x)=5x+4	$f (x) = 5 x + 4$
128102	Find the Slope and y-intercept	g(x)=-3x+5	$g (x) = - 3 x + 5$
128103	Find the Inverse	{(-1,8),(4,-2),(-2,4)}	${(- 1, 8), (4, - 2), (- 2, 4)}$
128104	Determine if A and B are Mutually Exclusive	A=(11,12,13) , B=(14,15,16)	$A = (11, 12, 13)$ , $B = (14, 15, 16)$
128105	Find the Upper or Third Quartile	20 , 21 , 24 , 25 , 28 , 29 , 35 , 37 , 39 , 42 , 44	$20$ , $21$ , $24$ , $25$ , $28$ , $29$ , $35$ , $37$ , $39$ , $42$ , $44$
128106	Find the Upper or Third Quartile	24 , 20 , 35 , 39 , 28 , 42 , 25 , 29 , 44 , 21 , 37	$24$ , $20$ , $35$ , $39$ , $28$ , $42$ , $25$ , $29$ , $44$ , $21$ , $37$
128107	Graph the Interval	[3,infinity)	$[3, \infty)$
128108	Find the Pre-Image	A=[[-1],[15],[2]] , x=[[16],[-2],[3]]	$A = [\begin{array}{c} - 1 \\ 15 \\ 2 \end{array}]$ , $x = [\begin{array}{c} 16 \\ - 2 \\ 3 \end{array}]$
128109	Find the Lower or First Quartile	10 , 11 , 12 , 15 , 17 , 19 , 22 , 24 , 29 , 33 , 38	$10$ , $11$ , $12$ , $15$ , $17$ , $19$ , $22$ , $24$ , $29$ , $33$ , $38$
128110	Find the Local Maxima and Minima	y=3x^3-4x^2-6x+2	$y = 3 x^{3} - 4 x^{2} - 6 x + 2$
128111	Determine if A and B are Mutually Exclusive	A=(1,2,3) , B=(6,7,8)	$A = (1, 2, 3)$ , $B = (6, 7, 8)$
128112	Find the Domain of the Quotient of the Two Functions	f(x)=x^2+1 , g(x)=2x	$f (x) = x^{2} + 1$ , $g (x) = 2 x$
128113	Find the Domain of the Quotient of the Two Functions	f(x)=x^2-1 , g(x)=x+1	$f (x) = x^{2} - 1$ , $g (x) = x + 1$
128114	Identify the Progression	2/3 , 3/4 , 4/5 , 5/6 , 6/7	$\frac{2}{3}$ , $\frac{3}{4}$ , $\frac{4}{5}$ , $\frac{5}{6}$ , $\frac{6}{7}$
128115	Find the Local Maxima and Minima	f(x)=x^3-1.2x+1	$f (x) = x^{3} - 1.2 x + 1$
128116	Find the Local Maxima and Minima	f(x)=x^3-4x^2+5	$f (x) = x^{3} - 4 x^{2} + 5$
128117	Determine if Parallel	y=3x , y=-1/3x	$y = 3 x$ , $y = - \frac{1}{3} x$
128118	Maximize the Equation given the Constraints	2x+2y=6 , x+2y>9	$2 x + 2 y = 6$ , $x + 2 y > 9$
128119	Determine the Types of the Numbers	101 , 323	$101$ , $323$
128120	Find Reduced Row Echelon Form	[[-1,1,1,-4],[-1,4,-8,-22],[6,-2,-18,0]]	$[\begin{array}{c} - 1 & 1 & 1 & - 4 \\ - 1 & 4 & - 8 & - 22 \\ 6 & - 2 & - 18 & 0 \end{array}]$
128121	Solve over the Interval	2(x^2-1)=10 , (0,40)	$2 (x^{2} - 1) = 10$ , $(0, 40)$
128122	Find the Slope and y-intercept	f(x)=4x-6	$f (x) = 4 x - 6$
128123	Find the Slope and y-intercept	f(x)=5	$f (x) = 5$
128124	Find the Slope and y-intercept	f(x)=5x+3	$f (x) = 5 x + 3$
128125	Find the Slope and y-intercept	f(x)=5x-4	$f (x) = 5 x - 4$
128126	Determine if @POINT is a Solution	2x+7<=3x-5	$2 x + 7 \leq 3 x - 5$
128127	Convert from Interval to Inequality	(-10,7) union (7,11)	$(- 10, 7) \cup (7, 11)$
128128	Find Where Increasing/Decreasing	y=5^x	$y = 5^{x}$
128129	Find the Local Maxima and Minima	e^(-x^2)	$e^{- x^{2}}$
128130	Simplify	(1,4)-5(1,1)	$(1, 4) - 5 (1, 1)$
128131	Find the Points of Intersection	y=2xy=x^2-3	$y = 2 x y = x^{2} - 3$
128132	Find the Points of Intersection	y<=xy>=1-x	$y \leq x y \geq 1 - x$
128133	Write as an Equation	f(x)=\|x\|	$f (x) = \| x \|$
128134	Graph the Interval	(negative infinity,-7) union (-7,infinity)	$(- \infty, - 7) \cup (- 7, \infty)$
128135	Write as y=mx+b	f(x)=x+2	$f (x) = x + 2$
128136	Find the Lower or First Quartile	12 , 33 , 15 , 22 , 29 , 11 , 17 , 19 , 16 , 24 , 38	$12$ , $33$ , $15$ , $22$ , $29$ , $11$ , $17$ , $19$ , $16$ , $24$ , $38$
128137	Find the Lower or First Quartile	20 , 21 , 14 , 21 , 21 , 12 , 18 , 23 , 20 , 23 , 12	$20$ , $21$ , $14$ , $21$ , $21$ , $12$ , $18$ , $23$ , $20$ , $23$ , $12$
128138	Find the Parent Function	f(x)=3^x	$f (x) = 3^{x}$
128139	Find the Set Complement A \ B	A=(1,2,3) , B=(0,1,2,3,5,9)	$A = (1, 2, 3)$ , $B = (0, 1, 2, 3, 5, 9)$
128140	Find the Inverse	(0,0) , (-6,6)	$(0, 0)$ , $(- 6, 6)$
128141	Cancel the Common Factors	(4x+20)/(x^2+2x-15)	$\frac{4 x + 20}{x^{2} + 2 x - 15}$
128142	Expand Using De Moivre's Theorem	(1+i)^8	${(1 + i)}^{8}$
128143	Determine if Parallel	y=4x+4 , y=6x	$y = 4 x + 4$ , $y = 6 x$
128144	Find Reduced Row Echelon Form	[[1,-1,4,-13],[3,0,1,-2],[1,3,1,13]]	$[\begin{array}{c} 1 & - 1 & 4 & - 13 \\ 3 & 0 & 1 & - 2 \\ 1 & 3 & 1 & 13 \end{array}]$
128145	Determine if @POINT is a Solution	(x+3)-y=4 , x-4y=10 , (-2,-3)	$(x + 3) - y = 4$ , $x - 4 y = 10$ , $(- 2, - 3)$
128146	Find the Points of Intersection	2x+4y<=123x-y<2	$2 x + 4 y \leq 123 x - y < 2$
128147	Find the Points of Intersection	3x+5y<=152x+2y<=8	$3 x + 5 y \leq 152 x + 2 y \leq 8$
128148	Find Where Increasing/Decreasing	y=(1/2)^x	$y = {(\frac{1}{2})}^{x}$
128149	Find Where Increasing/Decreasing	y=129(1.63)^x	$y = 129 {(1.63)}^{x}$
128150	Convert from Interval to Inequality	[-5,infinity)	$[- 5, \infty)$
128151	Convert from Interval to Inequality	[-5,4)	$[- 5, 4)$
128152	Convert from Interval to Inequality	[-1,9) union (2,10]	$[- 1, 9) \cup (2, 10]$
128153	Find the Lower or First Quartile	12 , 33 , 15 , 22 , 29 , 11 , 17 , 19 , 13 , 24 , 38	$12$ , $33$ , $15$ , $22$ , $29$ , $11$ , $17$ , $19$ , $13$ , $24$ , $38$
128154	Solve Using an Augmented Matrix	3x+6y+4z=737x+5y+9z=897x+7y-2z=96	$3 x + 6 y + 4 z = 737 x + 5 y + 9 z = 897 x + 7 y - 2 z = 96$
128155	Find the Domain	f(x)=-2x if x<=0; 2x+4 if x>0	$f (x) = {\begin{cases} - 2 x & x \leq 0 \\ 2 x + 4 & x > 0 \end{cases}$
128156	Find the Difference of the Two Functions	f(x)=4x , g(x)=6x+2	$f (x) = 4 x$ , $g (x) = 6 x + 2$
128157	Find the Sum of the Series	1+1/7+1/49+1/343	$1 + \frac{1}{7} + \frac{1}{49} + \frac{1}{343}$
128158	Find the Constant Using Slope	3y=kx , m=0	$3 y = k x$ , $m = 0$
128159	Determine if @POINT is a Solution	0.5x-2y>=3	$0.5 x - 2 y \geq 3$
128160	Find the Leading Coefficient	(x+y)^5	${(x + y)}^{5}$
128161	Find the Leading Coefficient	10x^2+8x-6x^3+4x^2+12x^3-x+20	$10 x^{2} + 8 x - 6 x^{3} + 4 x^{2} + 12 x^{3} - x + 20$
128162	Find the Leading Coefficient	5x^2+3x-6x^3+4x^2+2x^3-x+10	$5 x^{2} + 3 x - 6 x^{3} + 4 x^{2} + 2 x^{3} - x + 10$
128163	Write in Standard Form	4x^2-24x+4y^2+72y=76	$4 x^{2} - 24 x + 4 y^{2} + 72 y = 76$
128164	Find the Degree	cos(x)=1/2	$\cos (x) = \frac{1}{2}$
128165	Find the Inverse	{(3,4),(4,3),(2,7),(5,3)}	${(3, 4), (4, 3), (2, 7), (5, 3)}$
128166	Find Reduced Row Echelon Form	[[8,-3,15],[0,10,-1]]	$[\begin{array}{c} 8 & - 3 & 15 \\ 0 & 10 & - 1 \end{array}]$
128167	Transpose	[[0,-2,3],[-2,1,5],[3,5,-4]]	$[\begin{array}{c} 0 & - 2 & 3 \\ - 2 & 1 & 5 \\ 3 & 5 & - 4 \end{array}]$
128168	Find the Slope and y-intercept	f(x)=5x-6	$f (x) = 5 x - 6$
128169	Find the Slope and y-intercept	f(x)=4x+3	$f (x) = 4 x + 3$
128170	Find the Remainder	x^2-2x+5 , x-4	$x^{2} - 2 x + 5$ , $x - 4$
128171	Determine the Possible Number of Real Roots	p(x)=2x^4+5x^3-2x^2-7x-6	$p (x) = 2 x^{4} + 5 x^{3} - 2 x^{2} - 7 x - 6$
128172	Determine the Possible Number of Real Roots	f(x)=5x^3-7x^2-45x+63	$f (x) = 5 x^{3} - 7 x^{2} - 45 x + 63$
128173	Convert from Interval to Inequality	[0,2pi)	$[0, 2 π)$
128174	Round to the Nearest Ten	398.2235	$398.2235$
128175	Subtract the Expressions	x^2+5x , x-6	$x^{2} + 5 x$ , $x - 6$
128176	Find the Maximum Number of Real Roots	f(x)=5x^3-2	$f (x) = 5 x^{3} - 2$
128177	Determine the Possible Number of Real Roots	x^3+14x^2+61x+84	$x^{3} + 14 x^{2} + 61 x + 84$
128178	Write as an Equation	g(x)=(1/4)^x	$g (x) = {(\frac{1}{4})}^{x}$
128179	Write as an Equation	(-2,3)	$(- 2, 3)$
128180	Find the Set Complement A \ B	A=(0,8,9) , B=(0,5,9)	$A = (0, 8, 9)$ , $B = (0, 5, 9)$
128181	Write as a Vector Equality	x+y=-2 , 53x-8y=0	$x + y = - 2$ , $53 x - 8 y = 0$
128182	Find the Difference of the Two Functions	f(x)=5x-1 , g(x)=2x+1	$f (x) = 5 x - 1$ , $g (x) = 2 x + 1$
128183	Find the Difference of the Two Functions	f(x)=x^4+x^3-11x^2-5x+30 , g(x)=2x-2	$f (x) = x^{4} + x^{3} - 11 x^{2} - 5 x + 30$ , $g (x) = 2 x - 2$
128184	Find the Intersection of the Sets	{0,5,8} intersect {4,6,8,10}	${0, 5, 8} \cap {4, 6, 8, 10}$
128185	Identify the Progression	1 , 3 , 9 , 27	$1$ , $3$ , $9$ , $27$
128186	Identify the Progression	1/3 , 2/4 , 3/5 , 4/6 , 5/7	$\frac{1}{3}$ , $\frac{2}{4}$ , $\frac{3}{5}$ , $\frac{4}{6}$ , $\frac{5}{7}$
128187	Find the Sum of the Series	1/3 , 2/3 , 1 , 4/3 , 5/3	$\frac{1}{3}$ , $\frac{2}{3}$ , $1$ , $\frac{4}{3}$ , $\frac{5}{3}$
128188	Find the Sum of the Series	2 , 12 , 72 , 432	$2$ , $12$ , $72$ , $432$
128189	Find the Upper and Lower Bounds	f(x)=x^4+7x^3+3x^2-63x-108	$f (x) = x^{4} + 7 x^{3} + 3 x^{2} - 63 x - 108$
128190	Find the Equation with Real Coefficients	3 , 4i , -4i	$3$ , $4 i$ , $- 4 i$
128191	Cancel the Common Factors	(6x+18)/(x^2-x-12)	$\frac{6 x + 18}{x^{2} - x - 12}$
128192	Find Reduced Row Echelon Form	[[1,1,1,1],[1,-1,3,-1],[1,1,-1,1]]	$[\begin{array}{c} 1 & 1 & 1 & 1 \\ 1 & - 1 & 3 & - 1 \\ 1 & 1 & - 1 & 1 \end{array}]$
128193	Find Reduced Row Echelon Form	[[1,2],[3,5]]	$[\begin{array}{c} 1 & 2 \\ 3 & 5 \end{array}]$
128194	Find the Sum of the Infinite Geometric Series	1/3 , 2/3 , 1 , 4/3 , 5/3	$\frac{1}{3}$ , $\frac{2}{3}$ , $1$ , $\frac{4}{3}$ , $\frac{5}{3}$
128195	Find the Exponential Function	(1,6)	$(1, 6)$
128196	Find the Maximum Number of Real Roots	f(x)=3x^2+12x+5	$f (x) = 3 x^{2} + 12 x + 5$
128197	Arrange in Order	3^-2 , square root of 3 , 1.3*10^-1 , 1/3	$3^{- 2}$ , $\sqrt{3}$ , $1.3 \cdot 10^{- 1}$ , $\frac{1}{3}$
128198	Determine the Possible Number of Real Roots	f(x)=5x^5-x^3+3x+6	$f (x) = 5 x^{5} - x^{3} + 3 x + 6$
128199	Determine the Possible Number of Real Roots	f(x)=-8x^7-7x^4-6x^3+4x^2+6x+5	$f (x) = - 8 x^{7} - 7 x^{4} - 6 x^{3} + 4 x^{2} + 6 x + 5$
128200	Find the Variance	30 , 32 , 47 , 57 , 66 , 79	$30$ , $32$ , $47$ , $57$ , $66$ , $79$