Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
124201	Describe the Transformation	f(x)=4 square root of x-3	$f (x) = 4 \sqrt{x} - 3$
124202	Simplify the Matrix	[[a,b],[c,d]]	$[\begin{array}{c} a & b \\ c & d \end{array}]$
124203	Write as a Set of Linear Factors	49x^4-210x^3+302x^2-74x+5	$49 x^{4} - 210 x^{3} + 302 x^{2} - 74 x + 5$
124204	Use the Rational Roots Test to Find All Possible Roots	f(x)=4x^3-16x^2+9x+9	$f (x) = 4 x^{3} - 16 x^{2} + 9 x + 9$
124205	Use the Rational Roots Test to Find All Possible Roots	f(x)=64x^6-1	$f (x) = 64 x^{6} - 1$
124206	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4-6x^3+9x^2+6x-10	$f (x) = x^{4} - 6 x^{3} + 9 x^{2} + 6 x - 10$
124207	Use the Rational Roots Test to Find All Possible Roots	q(x)=x^3+3x^2-6x-8	$q (x) = x^{3} + 3 x^{2} - 6 x - 8$
124208	Use the Rational Roots Test to Find All Possible Roots	f(x)=2x^3-x^2-13x-6	$f (x) = 2 x^{3} - x^{2} - 13 x - 6$
124209	Use the Rational Roots Test to Find All Possible Roots	h(x)=x^3-x^2+25x-25	$h (x) = x^{3} - x^{2} + 25 x - 25$
124210	Find the Domain and Range	(-2,7) , (7,2) , (2,7)	$(- 2, 7)$ , $(7, 2)$ , $(2, 7)$
124211	Reduce	(24x^2+18x)/(24x)	$\frac{24 x^{2} + 18 x}{24 x}$
124212	Reduce	(a-b)/(b-a)	$\frac{a - b}{b - a}$
124213	Find the Maximum/Minimum Value	-16t^2+88t	$- 16 t^{2} + 88 t$
124214	Find the Maximum/Minimum Value	square root of x^2-9x+25	$\sqrt{x^{2} - 9 x + 25}$
124215	Find the Maximum/Minimum Value	3x^2-54x+241	$3 x^{2} - 54 x + 241$
124216	Find the Maximum/Minimum Value	3x^2+18x-8	$3 x^{2} + 18 x - 8$
124217	Find the Maximum/Minimum Value	3x^2+18x-5	$3 x^{2} + 18 x - 5$
124218	Find the Maximum/Minimum Value	-x^3+8x^2-15x	$- x^{3} + 8 x^{2} - 15 x$
124219	Find the Maximum/Minimum Value	9-4x-x^2	$9 - 4 x - x^{2}$
124220	Find the Maximum/Minimum Value	100x^2-1900x	$100 x^{2} - 1900 x$
124221	Solve in Terms of the Arbitrary Variable n	a_n=48-11n	$a_{n} = 48 - 11 n$
124222	Find the LCD	(8x)/(x-2) , (3x)/(x-1)	$\frac{8 x}{x - 2}$ , $\frac{3 x}{x - 1}$
124223	Find the LCD	(7x)/(2y) , 5/x	$\frac{7 x}{2 y}$ , $\frac{5}{x}$
124224	Find the LCD	-7/(5z) , 35/(7z)	$\frac{- 7}{5 z}$ , $\frac{35}{7 z}$
124225	Find the LCD	7/(6x) , 8/(3x+12)	$\frac{7}{6 x}$ , $\frac{8}{3 x + 12}$
124226	Find the LCD	x/(x^2-16) , (3x)/(x^2-8x+16)	$\frac{x}{x^{2} - 16}$ , $\frac{3 x}{x^{2} - 8 x + 16}$
124227	Find the LCD	6/(5x) , 1/(2x+9)	$\frac{6}{5 x}$ , $\frac{1}{2 x + 9}$
124228	Find the LCD	(5x+2)/(4x^2-1) , 3/x , (9x)/(2x+1)	$\frac{5 x + 2}{4 x^{2} - 1}$ , $\frac{3}{x}$ , $\frac{9 x}{2 x + 1}$
124229	Find the LCD	5/(6ab^3) , -7/(2a^2) , 9/(4b^2)	$\frac{5}{6 a b^{3}}$ , $\frac{- 7}{2 a^{2}}$ , $\frac{9}{4 b^{2}}$
124230	Find the LCD	-11/50 , 13/20	$\frac{- 11}{50}$ , $\frac{13}{20}$
124231	Find the LCD	-2/(3z) , 6/(2z)	$\frac{- 2}{3 z}$ , $\frac{6}{2 z}$
124232	Find the LCD	1/(3x+12) , 1/(9x+36)	$\frac{1}{3 x + 12}$ , $\frac{1}{9 x + 36}$
124233	Find the LCD	1/(4x+20) , 1/(16x+80)	$\frac{1}{4 x + 20}$ , $\frac{1}{16 x + 80}$
124234	Find the LCD	-3/(7z) , 21/(3z)	$\frac{- 3}{7 z}$ , $\frac{21}{3 z}$
124235	Find the LCD	(4x)/(x-3) , x/(x-5)	$\frac{4 x}{x - 3}$ , $\frac{x}{x - 5}$
124236	Find the LCD	(3x)/(x^2-25) , (x-1)/(5x-25)	$\frac{3 x}{x^{2} - 25}$ , $\frac{x - 1}{5 x - 25}$
124237	Convert to Rectangular Coordinates	(-4,pi)	$(- 4, π)$
124238	Verify the Identity	(1-cot(x))^2=csc(x)^2-2cot(x)	${(1 - \cot (x))}^{2} = \csc^{2} (x) - 2 \cot (x)$
124239	Find the Inverse	[[-10,-10],[6,9]]	$[\begin{array}{c} - 10 & - 10 \\ 6 & 9 \end{array}]$
124240	Factor over the Complex Numbers	x^4+20x^2-125	$x^{4} + 20 x^{2} - 125$
124241	Find the Mean	1 , 2 , 10 , 6 , 4 , 4 , 6 , 3 , 1 , 4	$1$ , $2$ , $10$ , $6$ , $4$ , $4$ , $6$ , $3$ , $1$ , $4$
124242	Find the Integral	x square root of 1-x	$x \sqrt{1 - x}$
124243	Find the Inverse	[[-7,0],[-6,3]]	$[\begin{array}{c} - 7 & 0 \\ - 6 & 3 \end{array}]$
124244	Solve the System of @WORD	-3<=4x+9<=17	$- 3 \leq 4 x + 9 \leq 17$
124245	Solve the System of @WORD	2x+y<=4x-1>=0	$2 x + y \leq 4 x - 1 \geq 0$
124246	Solve the System of @WORD	-7<5x+3<18	$- 7 < 5 x + 3 < 18$
124247	Solve the System of @WORD	log base 9 of x+2> log base 9 of 6-3x	$\log_{9} (x + 2) > \log_{9} (6 - 3 x)$
124248	Solve the System of @WORD	y<=-5/2x-2y<-1/2x+2	$y \leq - \frac{5}{2} x - 2 y < - \frac{1}{2} x + 2$
124249	Find the Equation with Real Coefficients	y=-1 , y=5	$y = - 1$ , $y = 5$
124250	Find the Axis of Symmetry	y=x^2-12x+8	$y = x^{2} - 12 x + 8$
124251	Find the Axis of Symmetry	y=-2/3(x+5)^2-7	$y = - \frac{2}{3} {(x + 5)}^{2} - 7$
124252	Find the Axis of Symmetry	y=1/2x^2+3x+1/2	$y = \frac{1}{2} x^{2} + 3 x + \frac{1}{2}$
124253	Find the Axis of Symmetry	y=(x+6)^2-4	$y = {(x + 6)}^{2} - 4$
124254	Find the Axis of Symmetry	y=-(x-4)^2-1	$y = - {(x - 4)}^{2} - 1$
124255	Find the Axis of Symmetry	y=2(x-1)^2-3	$y = 2 {(x - 1)}^{2} - 3$
124256	Find the Axis of Symmetry	y=2x^2-12x+9	$y = 2 x^{2} - 12 x + 9$
124257	Find the Vertex	4x^2-16x+1	$4 x^{2} - 16 x + 1$
124258	Find the Vertex	-x^2+16x-56	$- x^{2} + 16 x - 56$
124259	Find the Vertex	2(x+1)^2+3	$2 {(x + 1)}^{2} + 3$
124260	Find the Vertex	9-(x-2)^2	$9 - {(x - 2)}^{2}$
124261	Find the Vertex	-1/7x^2-2/11x+1/121	$- \frac{1}{7} x^{2} - \frac{2}{11} x + \frac{1}{121}$
124262	Find the Vertex	-3x^2+18x-22	$- 3 x^{2} + 18 x - 22$
124263	Find the Vertex	-4x^2-2x+1	$- 4 x^{2} - 2 x + 1$
124264	Find the Vertex	\|x+8\|-3	$\| x + 8 \| - 3$
124265	Solve by Graphing	x+3=9-x	$x + 3 = 9 - x$
124266	Solve by Graphing	-2x^2+4x=1.595	$- 2 x^{2} + 4 x = 1.595$
124267	Find the Vertex	-x^2+6x-3	$- x^{2} + 6 x - 3$
124268	Find the Vertex	-x^2+14x-42	$- x^{2} + 14 x - 42$
124269	Find the Vertex	3(x-4)^2+5	$3 {(x - 4)}^{2} + 5$
124270	Find the Vertex	1/5x^2-2x-1	$\frac{1}{5} x^{2} - 2 x - 1$
124271	Find the Vertex	-1/5x^2+2x	$- \frac{1}{5} x^{2} + 2 x$
124272	Solve by Graphing	4x^2+8x=32	$4 x^{2} + 8 x = 32$
124273	Round to the Nearest Hundred	2826	$2826$
124274	Expand Using Sum/Difference Formulas	sin(45-30)	$\sin (45 - 30)$
124275	Find f(g(x))	f(x) = cube root of x-5 , g(x)=x^3+5	$f (x) = \sqrt[3]{x - 5}$ , $g (x) = x^{3} + 5$
124276	Find f(g(x))	f(x)=x-3 g(x)=x^2	$f (x) = x - 3$ $g (x) = x^{2}$
124277	Find g(f(x))	f(x)=x-3 g(x)=x^2	$f (x) = x - 3$ $g (x) = x^{2}$
124278	Find g(f(x))	f(x) = cube root of x-5 , g(x)=x^3+5	$f (x) = \sqrt[3]{x - 5}$ , $g (x) = x^{3} + 5$
124279	Find f(g(x))	f(x)=-2x , g(x)=-2x	$f (x) = - 2 x$ , $g (x) = - 2 x$
124280	Determine if the Relation is a Function	{(4,9),(4,10),(4,11)}	${(4, 9), (4, 10), (4, 11)}$
124281	Round to the Nearest Whole Number	3.1	$3.1$
124282	Find Where Undefined/Discontinuous	y=(x-5)/(x^2-7x-8)	$y = \frac{(x - 5)}{x^{2} - 7 x - 8}$
124283	Find Where Undefined/Discontinuous	y=(6x+12)/(x^2-2x-8)	$y = \frac{6 x + 12}{x^{2} - 2 x - 8}$
124284	Find the Maximum/Minimum Value	y=-3x^2+18x-27	$y = - 3 x^{2} + 18 x - 27$
124285	Find the Maximum/Minimum Value	y=2x^2-4x-9	$y = 2 x^{2} - 4 x - 9$
124286	Find the Maximum/Minimum Value	y=-3x^2+6x	$y = - 3 x^{2} + 6 x$
124287	Find the Maximum/Minimum Value	z=5x+3y	$z = 5 x + 3 y$
124288	Find the Maximum/Minimum Value	y=x^2+14x+48	$y = x^{2} + 14 x + 48$
124289	Find the Maximum/Minimum Value	y=1/400x^2-x+150	$y = \frac{1}{400} x^{2} - x + 150$
124290	Find the Maximum/Minimum Value	y=38t-16t^2	$y = 38 t - 16 t^{2}$
124291	Find the Maximum/Minimum Value	y=-3x^2-5x+2	$y = - 3 x^{2} - 5 x + 2$
124292	Combine Like Terms	-2x+3+3+2x	$- 2 x + 3 + 3 + 2 x$
124293	Find the Distance Between Two Points	(0,- square root of 3) , ( square root of 5,0)	$(0, - \sqrt{3}) (\sqrt{5}, 0)$
124294	Find the Distance Between Two Points	(0,- square root of 2) , ( square root of 43,0)	$(0, - \sqrt{2}) (\sqrt{43}, 0)$
124295	Find the Distance Between Two Points	(16/3,1/7) , (1/3,8/7)	$(\frac{16}{3}, \frac{1}{7}) (\frac{1}{3}, \frac{8}{7})$
124296	Find the Distance Between Two Points	(-5,-8) , (-6,-2)	$(- 5, - 8) (- 6, - 2)$
124297	Find the Distance Between Two Points	(5.5,9.2) , (-0.5,6.2)	$(5.5, 9.2) (- 0.5, 6.2)$
124298	Find the Distance Between Two Points	(-8,-2) , (-7,8)	$(- 8, - 2) (- 7, 8)$
124299	Find the Distance Between Two Points	(-3,-4) , (3,-3)	$(- 3, - 4) (3, - 3)$
124300	Find the Distance Between Two Points	(-3,-8) , (5,-7)	$(- 3, - 8) (5, - 7)$