Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
128201	Identify the Progression	1/3 , 2/4 , 3/5 , 4/6 , 5/7	$\frac{1}{3}$ , $\frac{2}{4}$ , $\frac{3}{5}$ , $\frac{4}{6}$ , $\frac{5}{7}$
128202	Find the Sum of the Series	1/3 , 2/3 , 1 , 4/3 , 5/3	$\frac{1}{3}$ , $\frac{2}{3}$ , $1$ , $\frac{4}{3}$ , $\frac{5}{3}$
128203	Find the Sum of the Series	2 , 12 , 72 , 432	$2$ , $12$ , $72$ , $432$
128204	Find the Upper and Lower Bounds	f(x)=x^4+7x^3+3x^2-63x-108	$f (x) = x^{4} + 7 x^{3} + 3 x^{2} - 63 x - 108$
128205	Find the Equation with Real Coefficients	3 , 4i , -4i	$3$ , $4 i$ , $- 4 i$
128206	Cancel the Common Factors	(6x+18)/(x^2-x-12)	$\frac{6 x + 18}{x^{2} - x - 12}$
128207	Find Reduced Row Echelon Form	[[1,1,1,1],[1,-1,3,-1],[1,1,-1,1]]	$[\begin{array}{c} 1 & 1 & 1 & 1 \\ 1 & - 1 & 3 & - 1 \\ 1 & 1 & - 1 & 1 \end{array}]$
128208	Find Reduced Row Echelon Form	[[1,2],[3,5]]	$[\begin{array}{c} 1 & 2 \\ 3 & 5 \end{array}]$
128209	Find the Sum of the Infinite Geometric Series	1/3 , 2/3 , 1 , 4/3 , 5/3	$\frac{1}{3}$ , $\frac{2}{3}$ , $1$ , $\frac{4}{3}$ , $\frac{5}{3}$
128210	Find the Exponential Function	(1,6)	$(1, 6)$
128211	Find the Maximum Number of Real Roots	f(x)=3x^2+12x+5	$f (x) = 3 x^{2} + 12 x + 5$
128212	Arrange in Order	3^-2 , square root of 3 , 1.3*10^-1 , 1/3	$3^{- 2}$ , $\sqrt{3}$ , $1.3 \cdot 10^{- 1}$ , $\frac{1}{3}$
128213	Determine the Possible Number of Real Roots	f(x)=5x^5-x^3+3x+6	$f (x) = 5 x^{5} - x^{3} + 3 x + 6$
128214	Determine the Possible Number of Real Roots	f(x)=-8x^7-7x^4-6x^3+4x^2+6x+5	$f (x) = - 8 x^{7} - 7 x^{4} - 6 x^{3} + 4 x^{2} + 6 x + 5$
128215	Find the Variance	30 , 32 , 47 , 57 , 66 , 79	$30$ , $32$ , $47$ , $57$ , $66$ , $79$
128216	Find the Circle Using the Diameter End Points	(2,7) , (-6,-1)	$(2, 7) (- 6, - 1)$
128217	Find @FORMULA	f(x)=2x^2-3x	$f (x) = 2 x^{2} - 3 x$
128218	Find @FORMULA	f(x)=2x+3	$f (x) = 2 x + 3$
128219	Find the Points of Intersection	x^2+y^2=16y^2-2x=16	$x^{2} + y^{2} = 16 y^{2} - 2 x = 16$
128220	Find the Points of Intersection	x+y=5x-y=3	$x + y = 5 x - y = 3$
128221	Determine if Odd, Even, or Neither	y=x^3-x	$y = x^{3} - x$
128222	Solve Using an Inverse Matrix	3x+2y=-36x+5y=-12	$3 x + 2 y = - 36 x + 5 y = - 12$
128223	Find the Union of the Inequalities	x+1<3 , x-2<4	$x + 1 < 3$ , $x - 2 < 4$
128224	Identify the Progression	0 , 3 , 8 , 15 , 24	$0$ , $3$ , $8$ , $15$ , $24$
128225	Identify the Progression	3 , 12 , 48 , 192	$3$ , $12$ , $48$ , $192$
128226	Find the Parent Function	f(x)=1/x	$f (x) = \frac{1}{x}$
128227	Find the Parent Function	g(x)=- square root of x-3	$g (x) = - \sqrt{x - 3}$
128228	Find the Intersection of the Sets	{6,8,10,12} intersect {5,7,9,11,13}	${6, 8, 10, 12} \cap {5, 7, 9, 11, 13}$
128229	Find the Lower or First Quartile	12 , 33 , 15 , 22 , 29 , 11 , 17 , 19 , 10 , 24 , 38	$12$ , $33$ , $15$ , $22$ , $29$ , $11$ , $17$ , $19$ , $10$ , $24$ , $38$
128230	Find the Lower or First Quartile	22 , 19 , 16 , 19 , 23 , 20 , 20 , 21 , 22 , 21 , 14	$22$ , $19$ , $16$ , $19$ , $23$ , $20$ , $20$ , $21$ , $22$ , $21$ , $14$
128231	Find the Domain of the Sum of the Functions	f(x)=x^2+2x+1 , g(x)=x	$f (x) = x^{2} + 2 x + 1$ , $g (x) = x$
128232	Find the Intersection of the Inequalities	x<5 , x>4	$x < 5$ , $x > 4$
128233	Find the Sum of the First 6 Terms	4 , 12 , 36 , 108	$4$ , $12$ , $36$ , $108$
128234	Find the Mid-Range (Mid-Extreme)	9 , 9 , 10 , 11 , 13 , 13 , 13 , 14 , 25	$9$ , $9$ , $10$ , $11$ , $13$ , $13$ , $13$ , $14$ , $25$
128235	Solve in Terms of the Arbitrary Variable F	F=9/5c+32	$F = \frac{9}{5} c + 32$
128236	Find the Constant Using Slope	3y-6=kx , m=3	$3 y - 6 = k x$ , $m = 3$
128237	Find the Constant Using Slope	4kx+6=y , m=9	$4 k x + 6 = y$ , $m = 9$
128238	Find the Intersection of the Functions	P(A)=1/4 , P(B)=2/5	$P (A) = \frac{1}{4}$ , $P (B) = \frac{2}{5}$
128239	Find the Intersection of the Functions	P(A)=1/5 , P(B)=3/7	$P (A) = \frac{1}{5}$ , $P (B) = \frac{3}{7}$
128240	Find the Intersection of the Line Perpendicular to Plane 1 Through the Origin and Plane 2	4x+4=y , y=6x	$4 x + 4 = y$ , $y = 6 x$
128241	Round to the Nearest Whole Number	9.5	$9.5$
128242	Find the Inverse of the Resulting Matrix	[[-1,-1],[1,4]][[x],[y]]=[[-4],[1]]	$[\begin{array}{c} - 1 & - 1 \\ 1 & 4 \end{array}] [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} - 4 \\ 1 \end{array}]$
128243	Cancel the Common Factors	(5x+10)/(x^2-x-6)	$\frac{5 x + 10}{x^{2} - x - 6}$
128244	Find the Inverse	(1,2) , (1,-1)	$(1, 2)$ , $(1, - 1)$
128245	Determine the Possible Number of Real Roots	x^5-2x^4+2x^3-3x+2	$x^{5} - 2 x^{4} + 2 x^{3} - 3 x + 2$
128246	Write as a Set of Linear Factors	x^3+2x^2-5x-6	$x^{3} + 2 x^{2} - 5 x - 6$
128247	Find the Maximum Number of Real Roots	f(x)=-4x^2+10x-8	$f (x) = - 4 x^{2} + 10 x - 8$
128248	Find the Cofactor Matrix	[[9,8,7],[4,5,6],[1,2,3]]	$[\begin{array}{c} 9 & 8 & 7 \\ 4 & 5 & 6 \\ 1 & 2 & 3 \end{array}]$
128249	Find the Cofactor Matrix	[[8,2,3],[2,9,3],[2,5,2]]	$[\begin{array}{c} 8 & 2 & 3 \\ 2 & 9 & 3 \\ 2 & 5 & 2 \end{array}]$
128250	Write as a Set of Linear Factors	f(x)=x^3+5x^2-11x-55	$f (x) = x^{3} + 5 x^{2} - 11 x - 55$
128251	Write as a Set of Linear Factors	f(x)=5x^4-4x^3+19x^2-16x-4	$f (x) = 5 x^{4} - 4 x^{3} + 19 x^{2} - 16 x - 4$
128252	Find the Sum of the Infinite Geometric Series	9 , 3 , 1 , 1/3	$9$ , $3$ , $1$ , $\frac{1}{3}$
128253	Arrange in Order	0.14 , 0.04 , 0.17 , 0.37 , 0.21	$0.14$ , $0.04$ , $0.17$ , $0.37$ , $0.21$
128254	Find the Equation that Relates x and y	y=6 x=8	$y = 6$ $x = 8$
128255	Find the Eigenvectors/Eigenspace	[[1,2],[3,4]]	$[\begin{array}{c} 1 & 2 \\ 3 & 4 \end{array}]$
128256	Convert to Set Notation	x^4-17x^2+16>=0	$x^{4} - 17 x^{2} + 16 \geq 0$
128257	Determine the Possible Number of Real Roots	f(x)=3x^3-7x^2-75x+175	$f (x) = 3 x^{3} - 7 x^{2} - 75 x + 175$
128258	Determine the Possible Number of Real Roots	f(x)=x^3+x^2-9x-9	$f (x) = x^{3} + x^{2} - 9 x - 9$
128259	Determine the Possible Number of Real Roots	f(x)=x^3+2x^2-5x-6	$f (x) = x^{3} + 2 x^{2} - 5 x - 6$
128260	Determine the Possible Number of Real Roots	f(x)=8x^4+13x^3-11x^2+x+9	$f (x) = 8 x^{4} + 13 x^{3} - 11 x^{2} + x + 9$
128261	Find @FORMULA	f(x)=2x+1	$f (x) = 2 x + 1$
128262	Find @FORMULA	f(x)=x^2-2x	$f (x) = x^{2} - 2 x$
128263	Find the Local Maxima and Minima	x^4-2x^2+3	$x^{4} - 2 x^{2} + 3$
128264	Find the Local Maxima and Minima	x^3-3x+5	$x^{3} - 3 x + 5$
128265	Find the Local Maxima and Minima	x^3-5x^2+4x	$x^{3} - 5 x^{2} + 4 x$
128266	Determine if Parallel	y=19x+3 , y=19x-6	$y = 19 x + 3$ , $y = 19 x - 6$
128267	Find the Local Maxima and Minima	y=-x^4-16x^3-94x^2-240x-225	$y = - x^{4} - 16 x^{3} - 94 x^{2} - 240 x - 225$
128268	Find the Parent Function	f(x)=x	$f (x) = x$
128269	Write as an Equation	f(x)=b^x	$f (x) = b^{x}$
128270	Write as an Equation	f(x)=1/x	$f (x) = \frac{1}{x}$
128271	Find the Intersection of the Sets	{5,8,11,14} intersect {6,9,12,15,18}	${5, 8, 11, 14} \cap {6, 9, 12, 15, 18}$
128272	Graph the Line Segment	(-6,-1) , (-3,2) , (-1,4) , (2,7)	$(- 6, - 1) (- 3, 2) (- 1, 4) (2, 7)$
128273	Graph the Line Segment	(-6,4) , (-4,0) , (-3,-2) , (-1,-7)	$(- 6, 4) (- 4, 0) (- 3, - 2) (- 1, - 7)$
128274	Find the Sum of the Series	1+1/3+1/9+1/27	$1 + \frac{1}{3} + \frac{1}{9} + \frac{1}{27}$
128275	Find the Equation with Real Coefficients	2-i , square root of 2	$2 - i$ , $\sqrt{2}$
128276	Determine if A is a Proper Subset of B	A=(1,2,3) , B=(1,2,3,8)	$A = (1, 2, 3)$ , $B = (1, 2, 3, 8)$
128277	Find the Intersection of the Functions	f(x)=x^2+5x-14 , f(x)<=0	$f (x) = x^{2} + 5 x - 14$ , $f (x) \leq 0$
128278	Round to the Nearest Whole Number	9.459	$9.459$
128279	Round to the Nearest Whole Number	7.5	$7.5$
128280	Convert to Set Notation	\|4x+9\|>11	$\| 4 x + 9 \| > 11$
128281	Find the Determinant of the Resulting Matrix	[[x,1],[2,x]]=-1	$[\begin{array}{c} x & 1 \\ 2 & x \end{array}] = - 1$
128282	Find the Maximum Number of Real Roots	f(x)=4x^2-17x+3	$f (x) = 4 x^{2} - 17 x + 3$
128283	Find the Sum of the Infinite Geometric Series	16 , 4 , 1 , 1/4	$16$ , $4$ , $1$ , $\frac{1}{4}$
128284	Write as a Set of Linear Factors	f(x)=x^3-57x+56	$f (x) = x^{3} - 57 x + 56$
128285	Determine if the Relation is Linear	(-6,-1) , (-3,2) , (-1,4) , (2,7)	$(- 6, - 1) (- 3, 2) (- 1, 4) (2, 7)$
128286	Find the Circle Using the Diameter End Points	(-12,-10) , (-2,12)	$(- 12, - 10)$ , $(- 2, 12)$
128287	Find @FORMULA	f(x)=3x-2	$f (x) = 3 x - 2$
128288	Find the Plane Through (0,1,2),(3,4, 5) Parallel to the Line Through (6,7,0.8),(-9,0, -11)	(0,1,2) , (3,4,5) , (6,7,0.8) , (-9,0,-11)	$(0, 1, 2)$ , $(3, 4, 5)$ , $(6, 7, 0.8)$ , $(- 9, 0, - 11)$
128289	Find @FORMULA	f(x)=3x-5	$f (x) = 3 x - 5$
128290	Determine if Perpendicular	x-3y=-9y=3x-6	$x - 3 y = - 9 y = 3 x - 6$
128291	Find the Parent Function	f(x)=1/2(3)^(x+2)-1	$f (x) = \frac{1}{2} {(3)}^{x + 2} - 1$
128292	Find the Parent Function	f(x) = square root of x	$f (x) = \sqrt{x}$
128293	Find the Parent Function	f(x)=5^x	$f (x) = 5^{x}$
128294	Find the Parent Function	g(x)=-3x-2	$g (x) = - 3 x - 2$
128295	Find the Upper and Lower Bounds	f(x)=x^3+6x^2-3x-18	$f (x) = x^{3} + 6 x^{2} - 3 x - 18$
128296	Find the Upper and Lower Bounds	f(x)=-3x^3+20x^2-36x+16	$f (x) = - 3 x^{3} + 20 x^{2} - 36 x + 16$
128297	Round to the Nearest Whole Number	9.7	$9.7$
128298	Round to the Nearest Whole Number	8.5	$8.5$
128299	Use the Factor Theorem to Determine if x-2 is a Factor	f(x)=2x^3+x^2-5x+2 ; x-2	$f (x) = 2 x^{3} + x^{2} - 5 x + 2$ ; $x - 2$
128300	Solve in Terms of the Arbitrary Variable a	a_n=n+2	$a_{n} = n + 2$