Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
142101	Solve the Function Operation	f(x)=4x+1 , g(x)=x^2-5 , (f*g)(x)	$f (x) = 4 x + 1$ , $g (x) = x^{2} - 5$ , $(f \cdot g) (x)$
142102	Solve the Function Operation	f(x)=3x^2 , g(x)=x+2 , (f*g)(x)	$f (x) = 3 x^{2}$ , $g (x) = x + 2$ , $(f \cdot g) (x)$
142103	Solve the Function Operation	(fg)(2) f(x)=x-6 g(x)=-3x^2-7x+5	$(f g) (2)$ $f (x) = x - 6$ $g (x) = - 3 x^{2} - 7 x + 5$
142104	Solve the Function Operation	(fg)(x)	$(f g) (x)$
142105	Solve the Function Operation	(gk)(x)	$(g k) (x)$
142106	Solve the Function Operation	f(g(1))	$f (g (1))$
142107	Solve the Function Operation	f(x)=2x+5g(x)=x+3(g+f)(x)=(g-f)(x)=(g*f)(-1)=	$f (x) = 2 x + 5 g (x) = x + 3 (g + f) (x) = (g - f) (x) = (g \cdot f) (- 1) =$
142108	Solve the Function Operation	f(h(x))	$f (h (x))$
142109	Solve the Triangle	1/5e-1=2/3	$\frac{1}{5} e - 1 = \frac{2}{3}$
142110	Solve the Triangle	(cy^3)(9y^d)=18y^6	$(c y^{3}) (9 y^{d}) = 18 y^{6}$
142111	Solve the Triangle	(e^2)/15+e/3=2/5	$\frac{e^{2}}{15} + \frac{e}{3} = \frac{2}{5}$
142112	Solve the Triangle	22=4+8e-2e	$22 = 4 + 8 e - 2 e$
142113	Solve the Triangle	3*inx=9.9	$3 \cdot in x = 9.9$
142114	Solve the Triangle	5+8*inx=15.8	$5 + 8 \cdot in x = 15.8$
142115	Solve the Triangle	6+0.75e=2-1.25e	$6 + 0.75 e = 2 - 1.25 e$
142116	Find the Equation of the Parabola	(5,8) , (5,9) , (5,10)	$(5, 8)$ , $(5, 9)$ , $(5, 10)$
142117	Find the Equation of the Parabola	(-9,-16) , (-9,32) , (22,15)	$(- 9, - 16)$ , $(- 9, 32)$ , $(22, 15)$
142118	Find the Equation of the Parabola	(-5,161) , (-2,29) , (6,205)	$(- 5, 161) (- 2, 29) (6, 205)$
142119	Find the Equation of the Parabola	(-5,0) , (0,9) , (3,0)	$(- 5, 0)$ , $(0, 9)$ , $(3, 0)$
142120	Find the Equation of the Parabola	(3,1) , (9,3) , (27,9)	$(3, 1) (9, 3) (27, 9)$
142121	Find the Equation of the Parabola	(4,20) , (6,30) , (7,35)	$(4, 20)$ , $(6, 30)$ , $(7, 35)$
142122	Find the Equation of the Parabola	(-2,8) , (0,4) , (4,68)	$(- 2, 8)$ , $(0, 4)$ , $(4, 68)$
142123	Find the Equation of the Parabola	(20,-29.5) , (21,-31) , (22,-32.5)	$(20, - 29.5)$ , $(21, - 31)$ , $(22, - 32.5)$
142124	Find the Equation of the Parabola	(21,49.1) , (22,50.8) , (23,52.6)	$(21, 49.1)$ , $(22, 50.8)$ , $(23, 52.6)$
142125	Find the Equation of the Parabola	(-1,-6) , (-3,-34) , (-5,-102)	$(- 1, - 6)$ , $(- 3, - 34)$ , $(- 5, - 102)$
142126	Find the Equation of the Parabola	(1,6.66) , (2,11.99) , (3,21.58)	$(1, 6.66)$ , $(2, 11.99)$ , $(3, 21.58)$
142127	Find the Equation of the Parabola	(1,9) , (1,10) , (1,11)	$(1, 9)$ , $(1, 10)$ , $(1, 11)$
142128	Find the Equation of the Parabola	(1,9) , (-3,29) , (2,19)	$(1, 9)$ , $(- 3, 29)$ , $(2, 19)$
142129	Find the Equation of the Parabola	(1,354) , (3,266) , (4,174)	$(1, 354)$ , $(3, 266)$ , $(4, 174)$
142130	Find the Equation of the Parabola	(1,334) , (3,256) , (4,169)	$(1, 334)$ , $(3, 256)$ , $(4, 169)$
142131	Find the Equation of the Parabola	(2,2) , (5,0.8) , (8,0.5)	$(2, 2)$ , $(5, 0.8)$ , $(8, 0.5)$
142132	Find the Equation of the Parabola	(0,9) , (2,19) , (4,13)	$(0, 9)$ , $(2, 19)$ , $(4, 13)$
142133	Find the Equation of the Parabola	(0,-7) , (-3,-16) , (2,-1)	$(0, - 7)$ , $(- 3, - 16)$ , $(2, - 1)$
142134	Find the Equation of the Parabola	(0,7) , (2,13) , (4,3)	$(0, 7)$ , $(2, 13)$ , $(4, 3)$
142135	Find the Equation of the Parabola	(0,5) , (2,11) , (4,1)	$(0, 5)$ , $(2, 11)$ , $(4, 1)$
142136	Find the Equation of the Parabola	(0,5) , (3,2) , (-1,10)	$(0, 5)$ , $(3, 2)$ , $(- 1, 10)$
142137	Find the Equation of the Parabola	(1,10) , (2,50) , (3,250)	$(1, 10) (2, 50) (3, 250)$
142138	Find the Equation of the Parabola	(1,20) , (3,15) , (5,10)	$(1, 20)$ , $(3, 15)$ , $(5, 10)$
142139	Find the Equation of the Parabola	(0,0) , (2,2) , (4,0)	$(0, 0) (2, 2) (4, 0)$
142140	Find the Equation of the Parabola	(0,3) , (2,13) , (3,12)	$(0, 3)$ , $(2, 13)$ , $(3, 12)$
142141	Find the Equation of the Parabola	(0,-2) , (5,3) , (25,-77)	$(0, - 2)$ , $(5, 3)$ , $(25, - 77)$
142142	Find the Equation of the Parabola	(0,-25) , (0,25) , (0,24)	$(0, - 25)$ , $(0, 25)$ , $(0, 24)$
142143	Find the Equation of the Parabola	(0,3) , (1,2) , (2,3)	$(0, 3) (1, 2) (2, 3)$
142144	Find the Equation of the Parabola	(0,4) , (1,5) , (2,4)	$(0, 4)$ , $(1, 5)$ , $(2, 4)$
142145	Find the Equation of the Parabola	(0,43) , (15,77) , (23,85)	$(0, 43)$ , $(15, 77)$ , $(23, 85)$
142146	Identify the Zeros and Their Multiplicities	x^3-9x^2-x+9	$x^{3} - 9 x^{2} - x + 9$
142147	Find the Domain	(fog)(x) , f(x)=1/(x+3) , g(x)=2/x	$(f o g) (x)$ , $f (x) = \frac{1}{x + 3}$ , $g (x) = \frac{2}{x}$
142148	Find the Vertex	y=x^2-4x-3	$y = x^{2} - 4 x - 3$
142149	Find the Vertex	y=-x^2-6x-8	$y = - x^{2} - 6 x - 8$
142150	Find the Vertex	y=1/28(x-4)^2-5	$y = \frac{1}{28} {(x - 4)}^{2} - 5$
142151	Find the Critical Points	y=x^(4/7)(x+2)	$y = x^{\frac{4}{7}} (x + 2)$
142152	Solve the Triangle	-z = square root of -z+30 ; z=-6 , z=5	$- z = \sqrt{- z + 30}$ ; $z = - 6$ , $z = 5$
142153	Solve the Triangle	n=3 , a=343	$n = 3$ , $a = 343$
142154	Solve the Triangle	n=3 , a=125	$n = 3$ , $a = 125$
142155	Solve the Triangle	n=5 , a=-1	$n = 5$ , $a = - 1$
142156	Solve the Triangle	a=20 , b=21 , c=29	$a = 20$ , $b = 21$ , $c = 29$
142157	Solve the Triangle	a=1 , b=5	$a = 1$ , $b = 5$
142158	Solve the Triangle	A=35.2 , a=3.5 , c=12.1	$A = 35.2$ , $a = 3.5$ , $c = 12.1$
142159	Solve the Triangle	A=45 , a=53 , c=62	$A = 45$ , $a = 53$ , $c = 62$
142160	Solve the Triangle	a=15 , b=20	$a = 15$ , $b = 20$
142161	Solve the Triangle	a=16 , b=12	$a = 16$ , $b = 12$
142162	Solve the Triangle	a=2 , b=7 , c=6	$a = 2$ , $b = 7$ , $c = 6$
142163	Solve the Triangle	b=1 , c=13/5	$b = 1$ , $c = \frac{13}{5}$
142164	Write as a Single Logarithm	log base 12 of 18+3* log base 12 of 2	$\log_{12} (18) + 3 \cdot \log_{12} (2)$
142165	Write as a Single Logarithm	7^(2x)+7^x-12=0	$7^{2 x} + 7^{x} - 12 = 0$
142166	Find the Perpendicular Line	y=2x-3 , (-5,3)	$y = 2 x - 3$ , $(- 5, 3)$
142167	Find the Perpendicular Line	x-5y=3 (5,3)	$x - 5 y = 3$ $(5, 3)$
142168	Find the Perpendicular Line	y=1/6x+3 (-3,23)	$y = \frac{1}{6} x + 3$ $(- 3, 23)$
142169	Find the Perpendicular Line	3x-4y=12 (6,1)	$3 x - 4 y = 12$ $(6, 1)$
142170	Find the Perpendicular Line	(5,-2) 5x+7y=8	$(5, - 2)$ $5 x + 7 y = 8$
142171	Find the Perpendicular Line	(5,2) , y=x-5	$(5, 2)$ , $y = x - 5$
142172	Find the Perpendicular Line	(-4,0) , y=-2x-5	$(- 4, 0)$ , $y = - 2 x - 5$
142173	Find the Perpendicular Line	(4,-3) 4x+5y=8	$(4, - 3)$ $4 x + 5 y = 8$
142174	Find the Perpendicular Line	(-4,3) y=7/5x-3/5	$(- 4, 3)$ $y = \frac{7}{5} x - \frac{3}{5}$
142175	Find the Perpendicular Line	(-2,-3) 2x-3y=6	$(- 2, - 3)$ $2 x - 3 y = 6$
142176	Find the Perpendicular Line	(-2,3) ; y=1/2x-1	$(- 2, 3)$ ; $y = \frac{1}{2} x - 1$
142177	Find the Perpendicular Line	(1,-1) y=1/2x-3	$(1, - 1)$ $y = \frac{1}{2} x - 3$
142178	Find the Perpendicular Line	(1,6) 2x+5y=1	$(1, 6)$ $2 x + 5 y = 1$
142179	Determine if @POINT is a Solution	p(8,-3)t(x,y)=(x-4,y+7)	$p (8, - 3) t (x, y) = (x - 4, y + 7)$
142180	Determine if @POINT is a Solution	2x-y=4 -8x+4y=-16 (4,5)	$2 x - y = 4$ $- 8 x + 4 y = - 16$ $(4, 5)$
142181	Determine if @POINT is a Solution	3\|x+5\|<=6	$3 \| x + 5 \| \leq 6$
142182	Determine if @POINT is a Solution	5x-7y=-21 ; (7,8)	$5 x - 7 y = - 21$ ; $(7, 8)$
142183	Determine if @POINT is a Solution	(3,4) ; y>x+2	$(3, 4)$ ; $y > x + 2$
142184	Determine if @POINT is a Solution	(-4,-2),4x+y=-142x+4y=0	$(- 4, - 2) \cdot 4 x + y = - 142 x + 4 y = 0$
142185	Determine if @POINT is a Solution	\|2x+3\|>=19	$\| 2 x + 3 \| \geq 19$
142186	Determine if @POINT is a Solution	\|3x\|>=0	$\| 3 x \| \geq 0$
142187	Determine if @POINT is a Solution	2x^2+7x+2>=0	$2 x^{2} + 7 x + 2 \geq 0$
142188	Determine if @POINT is a Solution	x>=-2	$x \geq - 2$
142189	Determine if @POINT is a Solution	y=x , (0,0)	$y = x$ , $(0, 0)$
142190	Complete the Square	x^2+4x+3	$x^{2} + 4 x + 3$
142191	Find the Inverse	{(0,2),(1,7)}	${(0, 2), (1, 7)}$
142192	Find the Inverse	{(1,0),(5,1),(-1,0),(-5,0)}	${(1, 0), (5, 1), (- 1, 0), (- 5, 0)}$
142193	Find the Inverse	{(0,-8),(6,-1)}	${(0, - 8), (6, - 1)}$
142194	Find the Inverse	{(3,1),(-1,-3),(5,-7),(-5,7)}	${(3, 1), (- 1, - 3), (5, - 7), (- 5, 7)}$
142195	Find the Inverse	{(3,2),(1,-6)}	${(3, 2), (1, - 6)}$
142196	Find the Inverse	{(4,2),(6,-1)}	${(4, 2), (6, - 1)}$
142197	Find the Inverse	{(4,-8),(1,-1)}	${(4, - 8), (1, - 1)}$
142198	Find the Determinant of the Resulting Matrix	5[[1,4],[2,3]]+6[[0,4],[-1,3]]+2[[0,1],[-1,2]]	$5 [\begin{array}{c} 1 & 4 \\ 2 & 3 \end{array}] + 6 [\begin{array}{c} 0 & 4 \\ - 1 & 3 \end{array}] + 2 [\begin{array}{c} 0 & 1 \\ - 1 & 2 \end{array}]$
142199	Find the Determinant of the Resulting Matrix	[[6,8,7,-7],[-9,-1,4,0]] ; a_12	$[\begin{array}{c} 6 & 8 & 7 & - 7 \\ - 9 & - 1 & 4 & 0 \end{array}]$ ; $a_{12}$
142200	Find the Determinant of the Resulting Matrix	[[4,5,6],[1,2,3]][[10],[20],[30]]=	$[\begin{array}{c} 4 & 5 & 6 \\ 1 & 2 & 3 \end{array}] [\begin{array}{c} 10 \\ 20 \\ 30 \end{array}] =$