Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
901	Graph	f(x)=(x^2-4x)/(x^2-9)	$f (x) = \frac{x^{2} - 4 x}{x^{2} - 9}$
902	Graph	y=(1/2)^x+6	$y = {(\frac{1}{2})}^{x} + 6$
903	Graph	y=-e^x	$y = - e^{x}$
904	Graph	y=2sin(3x)	$y = 2 \sin (3 x)$
905	Graph	y=2cos(4x)	$y = 2 \cos (4 x)$
906	Graph	y=1.5sin(x)	$y = 1.5 \sin (x)$
907	Graph	F=(1,-1),K=(9,-4)	$F = (1, - 1) K = (9, - 4)$
908	Determine if True	log base 4 of 0.0625=-2	$\log_{4} (0.0625) = - 2$
909	Factor	f(x)=x^3-x^2-17x-15	$f (x) = x^{3} - x^{2} - 17 x - 15$
910	Factor	P(x)=x^3+3x^2-4	$P (x) = x^{3} + 3 x^{2} - 4$
911	Write in Standard Form	2x^2+6x	$2 x^{2} + 6 x$
912	Graph	x^2+4x+4y^2-8y+4=0	$x^{2} + 4 x + 4 y^{2} - 8 y + 4 = 0$
913	Graph	f(x)=(0.4)^x	$f (x) = {(0.4)}^{x}$
914	Determine if Odd, Even, or Neither	f(x)=cos(2x)	$f (x) = \cos (2 x)$
915	Determine if Odd, Even, or Neither	f(x)=x square root of x+5	$f (x) = x \sqrt{x + 5}$
916	Determine if Odd, Even, or Neither	f(x)=e^x	$f (x) = e^{x}$
917	Determine if Odd, Even, or Neither	f(x)=x/(x^2-1)	$f (x) = \frac{x}{x^{2} - 1}$
918	Determine if Odd, Even, or Neither	f(x)=x^2	$f (x) = x^{2}$
919	Graph	(x^2)/4-(y^2)/4=1	$\frac{x^{2}}{4} - \frac{y^{2}}{4} = 1$
920	Graph	(y^2)/16-(x^2)/36=1	$\frac{y^{2}}{16} - \frac{x^{2}}{36} = 1$
921	Graph	x=pi/3	$x = \frac{π}{3}$
922	Find the Slope	x=2	$x = 2$
923	Find the Slope	x=5	$x = 5$
924	Find the Next Term	15 , 45	$15$ , $45$
925	Find the Vertex Form	y^2-4y+4x+4=0	$y^{2} - 4 y + 4 x + 4 = 0$
926	Find the Standard Form of the Parabola	f(x)=x^2-8x	$f (x) = x^{2} - 8 x$
927	Find the Sum of the Infinite Geometric Series	1+1/3+1/9+1/27	$1 + \frac{1}{3} + \frac{1}{9} + \frac{1}{27}$
928	Determine if Odd, Even, or Neither	f(x)=1/(x^2)	$f (x) = \frac{1}{x^{2}}$
929	Solve by Substitution	x/2+y/3=4 , x/4+y/6=2	$\frac{x}{2} + \frac{y}{3} = 4$ , $\frac{x}{4} + \frac{y}{6} = 2$
930	Solve by Substitution	y^2+49y+x^2-5x-50=0 , y+49+(5x-50)/y=0	$y^{2} + 49 y + x^{2} - 5 x - 50 = 0$ , $y + 49 + \frac{5 x - 50}{y} = 0$
931	Solve by Substitution	x-y^2=-1 , x-2y=2	$x - y^{2} = - 1$ , $x - 2 y = 2$
932	Solve by Substitution	x^2+y^2=25 , x+y=8	$x^{2} + y^{2} = 25$ , $x + y = 8$
933	Solve by Substitution	x+2y=3 , 2x-y=1	$x + 2 y = 3$ , $2 x - y = 1$
934	Solve by Substitution	x+y+1=0 , x^2+y^2+2y-3x=-1	$x + y + 1 = 0$ , $x^{2} + y^{2} + 2 y - 3 x = - 1$
935	Solve by Addition/Elimination	x-3y+4z=-3 , 3x+y-z=4 , -2x+2y+3z=-5	$x - 3 y + 4 z = - 3$ , $3 x + y - z = 4$ , $- 2 x + 2 y + 3 z = - 5$
936	Find the Vertex	f(x)=(x-4)^2-1	$f (x) = {(x - 4)}^{2} - 1$
937	Find the Vertex	x^2+8x+15	$x^{2} + 8 x + 15$
938	Find the Difference Quotient	f(x) = square root of x	$f (x) = \sqrt{x}$
939	Find the Difference Quotient	f(x)=(3-2x)/x	$f (x) = \frac{3 - 2 x}{x}$
940	Find the Difference Quotient	f(x)=2x^2-x+3	$f (x) = 2 x^{2} - x + 3$
941	Find the Difference Quotient	f(x)=-3x+1	$f (x) = - 3 x + 1$
942	Find the Difference Quotient	f(x)=4x+3	$f (x) = 4 x + 3$
943	Find the x and y Intercepts	f(x)=-7x^2+6x+2	$f (x) = - 7 x^{2} + 6 x + 2$
944	Find the Vertex	f(x)=2x^2+8x+7	$f (x) = 2 x^{2} + 8 x + 7$
945	Find the Vertex	f(x)=2x^2+4x-6	$f (x) = 2 x^{2} + 4 x - 6$
946	Find the Vertex	f(x)=3x^2+18x+29	$f (x) = 3 x^{2} + 18 x + 29$
947	Find the Vertex	f(x)=3x^2+5x-4	$f (x) = 3 x^{2} + 5 x - 4$
948	Find the Vertex	f(x)=-3x^2+6x-2	$f (x) = - 3 x^{2} + 6 x - 2$
949	Find the Vertex	f(x)=(x-4)^2-9	$f (x) = {(x - 4)}^{2} - 9$
950	Find the Vertex	f(x)=-x^2+4x-3	$f (x) = - x^{2} + 4 x - 3$
951	Find the Vertex	f(x)=-x^2+6x-8	$f (x) = - x^{2} + 6 x - 8$
952	Find the Vertex	f(x)=x^2-2x-8	$f (x) = x^{2} - 2 x - 8$
953	Find the Vertex	f(x)=x^2-4x	$f (x) = x^{2} - 4 x$
954	Find the Vertex	f(x)=x^2-4x-12	$f (x) = x^{2} - 4 x - 12$
955	Find the Vertex	f(x)=-x^2-6x+3	$f (x) = - x^{2} - 6 x + 3$
956	Find the Vertex	f(x)=x^2-6x+8	$f (x) = x^{2} - 6 x + 8$
957	Find the Distance Between Two Points	(-2,7) , (3,4)	$(- 2, 7) (3, 4)$
958	Find the Inverse	f(x)=1+ square root of 1+x	$f (x) = 1 + \sqrt{1 + x}$
959	Find the Inverse	f(x) = square root of 9-x^2	$f (x) = \sqrt{9 - x^{2}}$
960	Find the Inverse	f(x)=(2-x)/(3+x)	$f (x) = \frac{2 - x}{3 + x}$
961	Find the Inverse	f(x)=(2x+1)/x	$f (x) = \frac{2 x + 1}{x}$
962	Find the Inverse	f(x)=3/(2x-5)	$f (x) = \frac{3}{2 x - 5}$
963	Find the Inverse	f(x)=(4x-1)/(2x+3)	$f (x) = \frac{4 x - 1}{2 x + 3}$
964	Find the Inverse	f(x) = square root of 25-x^2	$f (x) = \sqrt{25 - x^{2}}$
965	Find the Inverse	f(x)=x/(x+2)	$f (x) = \frac{x}{x + 2}$
966	Find the Inverse	f(x) = cube root of x/9-4	$f (x) = \sqrt[3]{\frac{x}{9}} - 4$
967	Find the Inverse	f(x)=(x-3)/(x+2)	$f (x) = \frac{x - 3}{x + 2}$
968	Find the Inverse	f(x)=5/(x-2)	$f (x) = \frac{5}{x - 2}$
969	Find the Inverse	f(x)=-7/2x-3	$f (x) = - \frac{7}{2} x - 3$
970	Find the Inverse	f(x)=(8x)/(3x-7)	$f (x) = \frac{8 x}{3 x - 7}$
971	Find the Inverse	f(x)=9/(x^2)	$f (x) = \frac{9}{x^{2}}$
972	Find the Domain and Range	f(x)=(3x^2+1)/(x^2+x+9)	$f (x) = \frac{3 x^{2} + 1}{x^{2} + x + 9}$
973	Find the Domain and Range	f(x)=(x^2+9x-9)/(x-9)	$f (x) = \frac{x^{2} + 9 x - 9}{x - 9}$
974	Find the Domain and Range	f(x)=(x^2)/(x^2-4)	$f (x) = \frac{x^{2}}{x^{2} - 4}$
975	Find the Domain	f(x)=(3x)/(x+5)	$f (x) = \frac{3 x}{x + 5}$
976	Find the Domain	h(x)=5/(x-3)	$h (x) = \frac{5}{x - 3}$
977	Find the Domain	f(x)=(x^4)/(x^2+x-6)	$f (x) = \frac{x^{4}}{x^{2} + x - 6}$
978	Find the Domain	square root of 3x-12	$\sqrt{3 x - 12}$
979	Find the Domain	f(x)=7/(14-x)	$f (x) = \frac{7}{14 - x}$
980	Find the Domain	f(x)=x/(x-1)	$f (x) = \frac{x}{x - 1}$
981	Find the Domain	f(x)=x/(x-2)	$f (x) = \frac{x}{x - 2}$
982	Find the Domain	( square root of 4-x)/((x+1)(x^2+1))	$\frac{\sqrt{4 - x}}{(x + 1) (x^{2} + 1)}$
983	Find the Domain	f(x) = natural log of x-6	$f (x) = \ln (x - 6)$
984	Find the Domain	g(x) = natural log of x-x^2	$g (x) = \ln (x - x^{2})$
985	Find the Domain	square root of 3-x+ square root of x^2-1	$\sqrt{3 - x} + \sqrt{x^{2} - 1}$
986	Find the Domain and Range	f(x) = natural log of x-4	$f (x) = \ln (x - 4)$
987	Find the Domain and Range	g(x)=x^2+2x+1	$g (x) = x^{2} + 2 x + 1$
988	Find the Domain and Range	f(x)=sec(2x)	$f (x) = \sec (2 x)$
989	Find the Domain and Range	h(x) = natural log of x+5	$h (x) = \ln (x + 5)$
990	Find the Roots (Zeros)	p(x)=12x^3+16x^2-x-5	$p (x) = 12 x^{3} + 16 x^{2} - x - 5$
991	Find the Roots (Zeros)	f(x)=x^4-x^3-7x^2+5x+10	$f (x) = x^{4} - x^{3} - 7 x^{2} + 5 x + 10$
992	Find the Roots (Zeros)	f(x)=x^3+5x^2-73x-77	$f (x) = x^{3} + 5 x^{2} - 73 x - 77$
993	Find the Roots (Zeros)	f(x)=x^3+12x^2+21x+10	$f (x) = x^{3} + 12 x^{2} + 21 x + 10$
994	Find the Roots (Zeros)	f(x)=2x^2-7x-30	$f (x) = 2 x^{2} - 7 x - 30$
995	Factor	y(y-6)+9(y-6)	$y (y - 6) + 9 (y - 6)$
996	Factor	sin(x)-cos(x)^2-1	$\sin (x) - \cos^{2} (x) - 1$
997	Factor	5(x^2+3)^4(2x)(x-2)^4+(x^2+3)^5(4)(x-2)^3	$5 {(x^{2} + 3)}^{4} (2 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$
998	Factor	-3xy^2+9x	$- 3 x y^{2} + 9 x$
999	Factor	3x^2+8x+16	$3 x^{2} + 8 x + 16$
1000	Factor	3t^3-81	$3 t^{3} - 81$