Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
125101	Find the LCD	5/(6x) , 3/(4x+8)	$\frac{5}{6 x}$ , $\frac{3}{4 x + 8}$
125102	Find the LCD	3/(10x) , (2x)/(x+10)	$\frac{3}{10 x}$ , $\frac{2 x}{x + 10}$
125103	Find the LCD	-11/45 , 13/75	$\frac{- 11}{45}$ , $\frac{13}{75}$
125104	Find the LCD	19/(2x) , 5/(4x^3)	$\frac{19}{2 x}$ , $\frac{5}{4 x^{3}}$
125105	Find the Constant of Variation	f(x)=30x	$f (x) = 30 x$
125106	Find the Constant of Variation	6y=3x	$6 y = 3 x$
125107	Find the LCD	2/(2x+7) , 5/(6x)	$\frac{2}{2 x + 7}$ , $\frac{5}{6 x}$
125108	Find the LCD	1/(6x+6) , 9/(2x)	$\frac{1}{6 x + 6}$ , $\frac{9}{2 x}$
125109	Find the LCD	5/(x+11) , 9/(x-11)	$\frac{5}{x + 11}$ , $\frac{9}{x - 11}$
125110	Find the LCD	5/(2x) , 7/(x-2)	$\frac{5}{2 x}$ , $\frac{7}{x - 2}$
125111	Find the LCD	5/(2x+1) , 6/(4x^2-1)	$\frac{5}{2 x + 1}$ , $\frac{6}{4 x^{2} - 1}$
125112	Find the LCD	5/(16a^3b^3) , 29/(30a^5b)	$\frac{5}{16 a^{3} b^{3}}$ , $\frac{29}{30 a^{5} b}$
125113	Find the LCD	7/(2x) , 5/(4x+4)	$\frac{7}{2 x}$ , $\frac{5}{4 x + 4}$
125114	Find the LCD	7/(3x+2) , 6/(5x)	$\frac{7}{3 x + 2}$ , $\frac{6}{5 x}$
125115	Find the LCD	x/(x^2-9) , 4/x , 3/(12-4x)	$\frac{x}{x^{2} - 9}$ , $\frac{4}{x}$ , $\frac{3}{12 - 4 x}$
125116	Find the Maximum/Minimum Value	square root of x^2-11x+36	$\sqrt{x^{2} - 11 x + 36}$
125117	Find the Maximum/Minimum Value	150x-x^2	$150 x - x^{2}$
125118	Find the Maximum/Minimum Value	1-8x-x^2	$1 - 8 x - x^{2}$
125119	Find the Maximum/Minimum Value	-2x^2-3x+4	$- 2 x^{2} - 3 x + 4$
125120	Find the Maximum/Minimum Value	26t-16t^2	$26 t - 16 t^{2}$
125121	Find the Maximum/Minimum Value	232x-5000-x^2	$232 x - 5000 - x^{2}$
125122	Find the Maximum/Minimum Value	2x^2+10x+9	$2 x^{2} + 10 x + 9$
125123	Find the Maximum/Minimum Value	x-1/100x^2	$x - \frac{1}{100} x^{2}$
125124	Find the Maximum/Minimum Value	7-6x-x^2	$7 - 6 x - x^{2}$
125125	Find the Maximum/Minimum Value	5-8x-x^2	$5 - 8 x - x^{2}$
125126	Find the Maximum/Minimum Value	-3x^2-30x-76	$- 3 x^{2} - 30 x - 76$
125127	Find the Maximum/Minimum Value	44x-16x^2	$44 x - 16 x^{2}$
125128	Find the Maximum/Minimum Value	-4t^2+2t-1	$- 4 t^{2} + 2 t - 1$
125129	Solve in Terms of the Arbitrary Variable a12	a_12=46 , a_24=88	$a_{12} = 46$ , $a_{24} = 88$
125130	Find the Distance Between Two Points	(0,0) , (6,3)	$(0, 0) (6, 3)$
125131	Find the Distance Between Two Points	(3.5,8.2) , (-0.5,6.2)	$(3.5, 8.2) (- 0.5, 6.2)$
125132	Find the Distance Between Two Points	(2,7) , (5,-10)	$(2, 7)$ , $(5, - 10)$
125133	Find the Distance Between Two Points	(-2,5) , (4,-1)	$(- 2, 5) (4, - 1)$
125134	Find the Distance Between Two Points	(1.3,7.2) , (-0.7,5.2)	$(1.3, 7.2) (- 0.7, 5.2)$
125135	Find the Distance Between Two Points	(0,- square root of 14) , ( square root of 31,0)	$(0, - \sqrt{14}) (\sqrt{31}, 0)$
125136	Find the Distance Between Two Points	(5.3,8.2) , (-0.7,5.2)	$(5.3, 8.2) (- 0.7, 5.2)$
125137	Find the Distance Between Two Points	(1,2) , (7,6)	$(1, 2) (7, 6)$
125138	Find the Distance Between Two Points	(2,3) , (8,9)	$(2, 3) (8, 9)$
125139	Find the Expanded Form	(x-4)^2+y^2=16	${(x - 4)}^{2} + y^{2} = 16$
125140	Find the Axis of Symmetry	y=x^2+8x-5	$y = x^{2} + 8 x - 5$
125141	Find the Axis of Symmetry	y=5x^2-10x-4	$y = 5 x^{2} - 10 x - 4$
125142	Find the Axis of Symmetry	y=5x^2+x+4	$y = 5 x^{2} + x + 4$
125143	Find the Axis of Symmetry	y=4x^2-16x-11	$y = 4 x^{2} - 16 x - 11$
125144	Find the Axis of Symmetry	y=-3x^2-18x-20	$y = - 3 x^{2} - 18 x - 20$
125145	Find the Range	f(x) = square root of 2x-4-5	$f (x) = \sqrt{2 x - 4} - 5$
125146	Find the Range	f(x)=x+1 if x<4; x-1 if x>=4	$f (x) = {\begin{cases} x + 1 & x < 4 \\ x - 1 & x \geq 4 \end{cases}$
125147	Find the Range	f(x)=-x if x<0; x if x>=0	$f (x) = {\begin{cases} - x & x < 0 \\ x & x \geq 0 \end{cases}$
125148	Verify the Identity	csc(x)^2tan(x)^2-1=tan(x)^2	$\csc^{2} (x) \tan^{2} (x) - 1 = \tan^{2} (x)$
125149	Verify the Identity	cos(3x)^2-sin(3x)^2=cos(6x)	$\cos^{2} (3 x) - \sin^{2} (3 x) = \cos (6 x)$
125150	Solve the System of @WORD	5+x>=3x-7>5x+13	$5 + x \geq 3 x - 7 > 5 x + 13$
125151	Solve the System of @WORD	-12<=2x-4<10	$- 12 \leq 2 x - 4 < 10$
125152	Solve the System of @WORD	8<=5x-2<=33	$8 \leq 5 x - 2 \leq 33$
125153	Solve the System of @WORD	-5<=2x+1<7	$- 5 \leq 2 x + 1 < 7$
125154	Solve the System of @WORD	3x+6y<=64x+y<=8	$3 x + 6 y \leq 64 x + y \leq 8$
125155	Find the Inverse	C=[[-9,7],[-3,-1]]	$C = [\begin{array}{c} - 9 & 7 \\ - 3 & - 1 \end{array}]$
125156	Find the Inverse	[[1,0],[0,-1]]	$[\begin{array}{c} 1 & 0 \\ 0 & - 1 \end{array}]$
125157	Find the Integral	cos(x)^5	$\cos^{5} (x)$
125158	Find the Integral	(e^x)/x	$\frac{e^{x}}{x}$
125159	Find the Mean	35 , 32 , 29 , 26	$35$ , $32$ , $29$ , $26$
125160	Find the Mean	10 , 6 , 4 , 4 , 6 , 4 , 1	$10$ , $6$ , $4$ , $4$ , $6$ , $4$ , $1$
125161	Find the Mean	0.1 , 0.2 , 0.4 , 0.5 , 0.5 , 0.8 , 0.1 , 0.6 , 0.9	$0.1$ , $0.2$ , $0.4$ , $0.5$ , $0.5$ , $0.8$ , $0.1$ , $0.6$ , $0.9$
125162	Find the Mean	8 , 10 , 8 , 5 , 4 , 7 , 5 , 10 , 8	$8$ , $10$ , $8$ , $5$ , $4$ , $7$ , $5$ , $10$ , $8$
125163	Factor over the Complex Numbers	16x^2+9y^2	$16 x^{2} + 9 y^{2}$
125164	Factor over the Complex Numbers	x^3-3x^2+81x-243	$x^{3} - 3 x^{2} + 81 x - 243$
125165	Find the Maximum/Minimum Value	y=3-4sin(2/3(x-1))	$y = 3 - 4 \sin (\frac{2}{3} (x - 1))$
125166	Find the Maximum/Minimum Value	y=46t-16t^2	$y = 46 t - 16 t^{2}$
125167	Find the Maximum/Minimum Value	y=50t-16t^2	$y = 50 t - 16 t^{2}$
125168	Find the Maximum/Minimum Value	y=2x^2+3x+9	$y = 2 x^{2} + 3 x + 9$
125169	Find the Maximum/Minimum Value	y=-2(x+1)^2+4	$y = - 2 {(x + 1)}^{2} + 4$
125170	Find the Maximum/Minimum Value	P=4x+2y	$P = 4 x + 2 y$
125171	Find the Maximum/Minimum Value	r=-2.5p^2+500p	$r = - 2.5 p^{2} + 500 p$
125172	Find the Maximum/Minimum Value	s=-16t^2+144t	$s = - 16 t^{2} + 144 t$
125173	Find the Maximum/Minimum Value	y=-16x^2+64x+4	$y = - 16 x^{2} + 64 x + 4$
125174	Find the Maximum/Minimum Value	y=(30+1x)(24000-500x)	$y = (30 + 1 x) (24000 - 500 x)$
125175	Find the Maximum/Minimum Value	z=5x+6y	$z = 5 x + 6 y$
125176	Find the Maximum/Minimum Value	z=2x+5y	$z = 2 x + 5 y$
125177	Find the Maximum/Minimum Value	y=-x^2+50x-70	$y = - x^{2} + 50 x - 70$
125178	Find the Maximum/Minimum Value	y=-x^2-7x+18	$y = - x^{2} - 7 x + 18$
125179	Find the Maximum/Minimum Value	h=-0.005x^2+x+3	$h = - 0.005 x^{2} + x + 3$
125180	Find the Maximum/Minimum Value	p=4x+2y	$p = 4 x + 2 y$
125181	Find the Maximum/Minimum Value	R=-2.5p^2+500p	$R = - 2.5 p^{2} + 500 p$
125182	Find the Sine Given the Point	(-4/5,-3/5)	$(- \frac{4}{5}, - \frac{3}{5})$
125183	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-4x^3+2	$f (x) = x^{4} - 4 x^{3} + 2$
125184	Expand Using Sum/Difference Formulas	cos(-105 degrees )	$\cos (- 105 °)$
125185	Graph the Interval	(negative infinity,2) union (4,infinity)	$(- \infty, 2) \cup (4, \infty)$
125186	Solve by Graphing	x^2+11=11	$x^{2} + 11 = 11$
125187	Solve by Graphing	sin(x)=-1	$\sin (x) = - 1$
125188	Solve by Graphing	3x^3=12x	$3 x^{3} = 12 x$
125189	Solve by Graphing	-4x-1=5^x+4	$- 4 x - 1 = 5^{x} + 4$
125190	Solve by Graphing	6x^2+31x=12	$6 x^{2} + 31 x = 12$
125191	Find the Vertex	-4x^2+8x-3	$- 4 x^{2} + 8 x - 3$
125192	Find the Vertex	(x^2)/2+4x+6	$\frac{x^{2}}{2} + 4 x + 6$
125193	Find the Vertex	-x^2-3x-3	$- x^{2} - 3 x - 3$
125194	Find the Vertex	-9.8x^2-11.2x-3.2	$- 9.8 x^{2} - 11.2 x - 3.2$
125195	Find the Vertex	2(x+2)^2-4	$2 {(x + 2)}^{2} - 4$
125196	Find the Vertex	-x^2-10x+1	$- x^{2} - 10 x + 1$
125197	Find the Vertex	-16t^2+20t+6	$- 16 t^{2} + 20 t + 6$
125198	Find the Vertex	(x^2)/2+6x+22	$\frac{x^{2}}{2} + 6 x + 22$
125199	Find the Vertex	2(x+2)^2-3	$2 {(x + 2)}^{2} - 3$
125200	Find the Vertex	-1/3x^2-2/11x+1/121	$- \frac{1}{3} x^{2} - \frac{2}{11} x + \frac{1}{121}$