Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
102801	Solve by Substitution	y=x^2+10x+11 , y=x^2+x-7	$y = x^{2} + 10 x + 11$ , $y = x^{2} + x - 7$
102802	Solve by Substitution	y=2x-3 , y=-x+3	$y = 2 x - 3$ , $y = - x + 3$
102803	Solve for x	log base 6 of x-1 = log base 2 of 2x+2	$\log_{6} (x - 1) = \log_{2} (2 x + 2)$
102804	Simplify	square root of -75x^5	$\sqrt{- 75 x^{5}}$
102805	Simplify	cube root of (8x^6y^9)/(27y^3z^3)	$\sqrt[3]{\frac{8 x^{6} y^{9}}{27 y^{3} z^{3}}}$
102806	Simplify	cube root of -27x^4	$\sqrt[3]{- 27 x^{4}}$
102807	Simplify	square root of 19/(x^4)	$\sqrt{\frac{19}{x^{4}}}$
102808	Find f(g(x))	f(x)=3x+6 , g(x)=2x^2	$f (x) = 3 x + 6$ , $g (x) = 2 x^{2}$
102809	Write in Exponential Form	log base 27 of 9=2/3	$\log_{27} (9) = \frac{2}{3}$
102810	Find f(g(x))	f(x)=x^2-4x+5 , g(x)=x-3	$f (x) = x^{2} - 4 x + 5$ , $g (x) = x - 3$
102811	Find the Roots (Zeros)	y=x^2+2x+1	$y = x^{2} + 2 x + 1$
102812	Find the Properties	y=(x-2)^2-1	$y = {(x - 2)}^{2} - 1$
102813	Find the Properties	y=-7/4x^2	$y = - \frac{7}{4} x^{2}$
102814	Find the Properties	y=x^2+2x+5	$y = x^{2} + 2 x + 5$
102815	Find f(g(x))	f(x)=7x-5 g(x)=(x+5)/7	$f (x) = 7 x - 5$ $g (x) = \frac{x + 5}{7}$
102816	Find f(g(x))	f(x)=4x^2+3x+4 , g(x)=3x-6	$f (x) = 4 x^{2} + 3 x + 4$ , $g (x) = 3 x - 6$
102817	Find the Center and Radius	(x-2)^2+y^2=64	${(x - 2)}^{2} + y^{2} = 64$
102818	Find f(g(x))	f(x) = square root of 42-x , g(x)=x^2-x	$f (x) = \sqrt{42 - x}$ , $g (x) = x^{2} - x$
102819	Find the Center and Radius	(x-1)^2+y^2=16	${(x - 1)}^{2} + y^{2} = 16$
102820	Find the Center and Radius	(x-1)^2+(y+2)^2=4	${(x - 1)}^{2} + {(y + 2)}^{2} = 4$
102821	Find f(g(x))	f(x)=2+8 g(x)=4+12x-7	$f (x) = 2 + 8$ $g (x) = 4 + 12 x - 7$
102822	Find the Center and Radius	(x-1)^2+(y+6)^2=4	${(x - 1)}^{2} + {(y + 6)}^{2} = 4$
102823	Find the Center and Radius	(x-1)^2+(y+4)^2=9	${(x - 1)}^{2} + {(y + 4)}^{2} = 9$
102824	Find the Center and Radius	(x-1)^2+(y-2)^2=4	${(x - 1)}^{2} + {(y - 2)}^{2} = 4$
102825	Find the Center and Radius	(x-1)^2+(y+1)^2=3	${(x - 1)}^{2} + {(y + 1)}^{2} = 3$
102826	Find f(g(x))	f(x)=x^(5/2)-x^(9/2) , g(x)=x^(3/2)	$f (x) = x^{\frac{5}{2}} - x^{\frac{9}{2}}$ , $g (x) = x^{\frac{3}{2}}$
102827	Find the Center and Radius	(x+1)^2+(y-5)^2=16	${(x + 1)}^{2} + {(y - 5)}^{2} = 16$
102828	Find f(g(x))	f(x)=x-230 ; g(x)=0.9x	$f (x) = x - 230$ ; $g (x) = 0.9 x$
102829	Find the Center and Radius	(x+3)^2+(y+1)^2=9	${(x + 3)}^{2} + {(y + 1)}^{2} = 9$
102830	Find the Center and Radius	(x+3)^2+y^2=9	${(x + 3)}^{2} + y^{2} = 9$
102831	Find the Center and Radius	x^2+y^2+3x+4y+4=0	$x^{2} + y^{2} + 3 x + 4 y + 4 = 0$
102832	Find the Center and Radius	x^2+(y-3)^2=16	$x^{2} + {(y - 3)}^{2} = 16$
102833	Find the Center and Radius	x^2+(y-3)^2=25	$x^{2} + {(y - 3)}^{2} = 25$
102834	Find f(g(x))	f(x)=-10x+15 g(x)=7x+9	$f (x) = - 10 x + 15$ $g (x) = 7 x + 9$
102835	Find the Center and Radius	x^2+(y-4)^2=64	$x^{2} + {(y - 4)}^{2} = 64$
102836	Find the Center and Radius	x^2+(y-8)^2=64	$x^{2} + {(y - 8)}^{2} = 64$
102837	Find the Center and Radius	(x-5)^2+(y+7)^2=36	${(x - 5)}^{2} + {(y + 7)}^{2} = 36$
102838	Find the Center and Radius	(x-5)^2+(y+2)^2=4	${(x - 5)}^{2} + {(y + 2)}^{2} = 4$
102839	Find the Center and Radius	(x-5)^2+(y+3)^2=16	${(x - 5)}^{2} + {(y + 3)}^{2} = 16$
102840	Find f(g(x))	f(X) = square root of x-3 , g(x)=4x	$f (X) = \sqrt{x - 3}$ , $g (x) = 4 x$
102841	Find the Center and Radius	(x-3)^2+(y-2)^2=4	${(x - 3)}^{2} + {(y - 2)}^{2} = 4$
102842	Find f(g(x))	f(x)=x+23 , g(x)=x-23	$f (x) = x + 23$ , $g (x) = x - 23$
102843	Find the Center and Radius	((x-1)^2)/4+((y-1)^2)/4=1	$\frac{{(x - 1)}^{2}}{4} + \frac{{(y - 1)}^{2}}{4} = 1$
102844	Find the Center and Radius	x^2-10x+y^2-10y=-1	$x^{2} - 10 x + y^{2} - 10 y = - 1$
102845	Find the Center and Radius	3(x+1)^2+3(y-1)^2=6	$3 {(x + 1)}^{2} + 3 {(y - 1)}^{2} = 6$
102846	Find f(g(x))	f(x)=1/(x+1) , g(x)=(1-x)/x	$f (x) = \frac{1}{x + 1}$ , $g (x) = \frac{1 - x}{x}$
102847	Find the Center and Radius	x^2+y^2=324	$x^{2} + y^{2} = 324$
102848	Find the Center and Radius	x^2+y^2=6	$x^{2} + y^{2} = 6$
102849	Find f(g(x))	f(x)=2x+8 g(x)=x^4(g^of)(-3)	$f (x) = 2 x + 8$ $g (x) = x^{4} (g^{o} f) (- 3)$
102850	Find the Center and Radius	x^2+y^2+8x-10y+5=0	$x^{2} + y^{2} + 8 x - 10 y + 5 = 0$
102851	Find the Center and Radius	x^2+y^2+6x+4y+4=0	$x^{2} + y^{2} + 6 x + 4 y + 4 = 0$
102852	Find the Center and Radius	x^2+y^2-6x+8y-11=0	$x^{2} + y^{2} - 6 x + 8 y - 11 = 0$
102853	Find the Center and Radius	x^2+y^2-4x-18y+49=0	$x^{2} + y^{2} - 4 x - 18 y + 49 = 0$
102854	Find the Properties	y=1/12x^2	$y = \frac{1}{12} x^{2}$
102855	Find f(g(x))	f(x)=7x+5 , g(x)=2x-7	$f (x) = 7 x + 5$ , $g (x) = 2 x - 7$
102856	Find f(g(x))	f(x)=4x , g(x)=x+6	$f (x) = 4 x$ , $g (x) = x + 6$
102857	Find f(g(x))	f(x)=4/(x+7) , g(x)=1/(8x)	$f (x) = \frac{4}{x + 7}$ , $g (x) = \frac{1}{8 x}$
102858	Convert to Rectangular Coordinates	(1,2)	$(1, 2)$
102859	Find f(g(x))	f(x)=6/(x-9) , g(x)=6/x+9	$f (x) = \frac{6}{x - 9}$ , $g (x) = \frac{6}{x} + 9$
102860	Find the Equation Using Point-Slope Formula	(3,5) , (8,15)	$(3, 5)$ , $(8, 15)$
102861	Find the Equation Using Point-Slope Formula	(-3,7) , (2,-3)	$(- 3, 7) (2, - 3)$
102862	Find f(g(x))	f(x)=x/4-3 , g(x)=4x^2+2x-4	$f (x) = \frac{x}{4} - 3$ , $g (x) = 4 x^{2} + 2 x - 4$
102863	Find f(g(x))	f(x)=2x+3 , g(x)=x^2	$f (x) = 2 x + 3$ , $g (x) = x^{2}$
102864	Find the Equation Using Point-Slope Formula	(1/6,-1/3) , (5/6,3)	$(\frac{1}{6}, - \frac{1}{3}) (\frac{5}{6}, 3)$
102865	Graph	y-1=2(x-2)	$y - 1 = 2 (x - 2)$
102866	Simplify/Condense	natural log of e^9	$\ln (e^{9})$
102867	Simplify/Condense	natural log of x- natural log of 3	$\ln (x) - \ln (3)$
102868	Simplify/Condense	natural log of x+ natural log of 13	$\ln (x) + \ln (13)$
102869	Simplify/Condense	log of 4x+5- log of x	$\log (4 x + 5) - \log (x)$
102870	Find f(g(x))	f(x)=x^2+7 , g(x) = square root of 8-x	$f (x) = x^{2} + 7$ , $g (x) = \sqrt{8 - x}$
102871	Simplify/Condense	log of 1000000- log of 10	$\log (1000000) - \log (10)$
102872	Find f(g(x))	f(x)=4-x g(x)=4x^2+x+6	$f (x) = 4 - x$ $g (x) = 4 x^{2} + x + 6$
102873	Simplify/Condense	log of 10000	$\log (10000)$
102874	Find f(g(x))	f(x)=5x , g(x)=x+7	$f (x) = 5 x$ , $g (x) = x + 7$
102875	Simplify/Condense	log of y+11 log of z	$\log (y) + 11 \log (z)$
102876	Find f(g(x))	f(x)=5x-1 , g(x)=x^2-2	$f (x) = 5 x - 1$ , $g (x) = x^{2} - 2$
102877	Simplify/Condense	log of y+8 log of z	$\log (y) + 8 \log (z)$
102878	Simplify/Condense	log of a+ log of b	$\log (a) + \log (b)$
102879	Find f(g(x))	f(x)=4x+1 , g(x)=x^2-5	$f (x) = 4 x + 1$ , $g (x) = x^{2} - 5$
102880	Find f(g(x))	f(x)=4x+3 , g(x)=x+4	$f (x) = 4 x + 3$ , $g (x) = x + 4$
102881	Expand the Logarithmic Expression	log base 0.5 of 16	$\log_{0.5} (16)$
102882	Expand the Logarithmic Expression	log base 11 of 121	$\log_{11} (121)$
102883	Find f(g(x))	f(x)=x^2-3x , g(x)=2x+2	$f (x) = x^{2} - 3 x$ , $g (x) = 2 x + 2$
102884	Expand the Logarithmic Expression	log base 3 of ( square root of z)/27	$\log_{3} (\frac{\sqrt{z}}{27})$
102885	Expand the Logarithmic Expression	log base 3 of 15xy	$\log_{3} (15 x y)$
102886	Expand the Logarithmic Expression	log base 3 of 15	$\log_{3} (15)$
102887	Expand the Logarithmic Expression	log base 2 of x^5	$\log_{2} (x^{5})$
102888	Find f(g(x))	f(x)=6x-6 , g(x)=7-3x	$f (x) = 6 x - 6$ , $g (x) = 7 - 3 x$
102889	Expand the Logarithmic Expression	log base 2 of 40	$\log_{2} (40)$
102890	Find f(g(x))	f(x)=x^3-13 , g(x)=x	$f (x) = x^{3} - 13$ , $g (x) = x$
102891	Expand the Logarithmic Expression	log base 4 of (xy)/3	$\log_{4} (\frac{x y}{3})$
102892	Expand the Logarithmic Expression	log base 4 of 17	$\log_{4} (17)$
102893	Find f(g(x))	f(x)=4x-1 g(x)=3x^3-1	$f (x) = 4 x - 1$ $g (x) = 3 x^{3} - 1$
102894	Expand the Logarithmic Expression	log base 5 of 2 square root of x	$\log_{5} (2 \sqrt{x})$
102895	Find f(g(x))	f(x)=x+4 g(x)=3x+2	$f (x) = x + 4$ $g (x) = 3 x + 2$
102896	Expand the Logarithmic Expression	log base 5 of 5^(x-5)	$\log_{5} (5^{x - 5})$
102897	Find f(g(x))	f(x)=7x+7 , g(x)=6x^2	$f (x) = 7 x + 7$ , $g (x) = 6 x^{2}$
102898	Find f(g(x))	f(x)=6/(x-3) , g(x)=6/x+3	$f (x) = \frac{6}{x - 3}$ , $g (x) = \frac{6}{x} + 3$
102899	Expand the Logarithmic Expression	log base 6 of 21	$\log_{6} (21)$
102900	Expand the Logarithmic Expression	log base 6 of 1/216	$\log_{6} (\frac{1}{216})$