Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
154801	Find h(g(x))	g(x)=3x+3h(x)=-4x+1	$g (x) = 3 x + 3 h (x) = - 4 x + 1$
154802	Find m(n(x))	m(x)=x^2+3 n(x)=5x+9	$m (x) = x^{2} + 3$ $n (x) = 5 x + 9$
154803	Find s(t(x))	s(x)=3x^2t(x)=2x	$s (x) = 3 x^{2} t (x) = 2 x$
154804	Determine if the Relation is a Function	(0,0) , (1,5) , (2,20) , (3,45) , (4,80)	$(0, 0)$ , $(1, 5)$ , $(2, 20)$ , $(3, 45)$ , $(4, 80)$
154805	Determine if the Relation is a Function	{(1,2),(3,4),(5,5)}	${(1, 2), (3, 4), (5, 5)}$
154806	Determine if the Relation is a Function	{(2,3),(3,4),(-2,5),(-1,-2)}	${(2, 3), (3, 4), (- 2, 5), (- 1, - 2)}$
154807	Determine if the Relation is a Function	(5,0) , (0,5) , (-5,-5)	$(5, 0)$ , $(0, 5)$ , $(- 5, - 5)$
154808	Determine if the Relation is a Function	(5,8) , (5,9) , (5,10)	$(5, 8)$ , $(5, 9)$ , $(5, 10)$
154809	Find f(g(x))	f(x)=-4x+7g(x)=10x-6	$f (x) = - 4 x + 7 g (x) = 10 x - 6$
154810	Find f(g(x))	f(x)=5x-4 , g(x)=8x+6	$f (x) = 5 x - 4$ , $g (x) = 8 x + 6$
154811	Find g(f(x))	f(x)=11-x g(x)=9-x^2	$f (x) = 11 - x$ $g (x) = 9 - x^{2}$
154812	Find the Equation Using Slope-Intercept Form	m=-4 , (5,8)	$m = - 4$ , $(5, 8)$
154813	Find the Equation Using Slope-Intercept Form	m=5 , b=7/5	$m = 5$ , $b = \frac{7}{5}$
154814	Find the Equation Using Slope-Intercept Form	(0,-2) , m=4	$(0, - 2)$ , $m = 4$
154815	Find the Equation Using Slope-Intercept Form	(0,-4) , m=6/5	$(0, - 4)$ , $m = \frac{6}{5}$
154816	Find the Equation Using Slope-Intercept Form	(0,-5) , m=2/3	$(0, - 5)$ , $m = \frac{2}{3}$
154817	Find the Equation Using Slope-Intercept Form	(1,-3) , m=-5/4	$(1, - 3)$ , $m = - \frac{5}{4}$
154818	Find the Equation Using Slope-Intercept Form	(-1,-4) , m=3	$(- 1, - 4)$ , $m = 3$
154819	Find the Equation Using Slope-Intercept Form	(3,-3) , m=-6/5	$(3, - 3)$ , $m = - \frac{6}{5}$
154820	Find the Equation Using Slope-Intercept Form	(-3,6) m=-2	$(- 3, 6)$ $m = - 2$
154821	Find the Equation Using Slope-Intercept Form	(3,-9) , m=-5	$(3, - 9)$ , $m = - 5$
154822	Find the Equation Using Slope-Intercept Form	(2,-3) , y=4x-9	$(2, - 3)$ , $y = 4 x - 9$
154823	Find the Equation Using Slope-Intercept Form	(5,4) m=0	$(5, 4)$ $m = 0$
154824	Find the Equation Using Slope-Intercept Form	(7,0) , m=-1/6	$(7, 0)$ , $m = - \frac{1}{6}$
154825	Find the Equation Using Slope-Intercept Form	(-7,2) , m=3	$(- 7, 2)$ , $m = 3$
154826	Find the Equation Using Slope-Intercept Form	m=6/7 , (1,-3)	$m = \frac{6}{7}$ , $(1, - 3)$
154827	Find the Equation Using Slope-Intercept Form	m = square root of 3 ; b = square root of 3	$m = \sqrt{3}$ ; $b = \sqrt{3}$
154828	Find the Equation Using Slope-Intercept Form	m=-4/3 , b=-5	$m = - \frac{4}{3}$ , $b = - 5$
154829	Find the Equation Using Slope-Intercept Form	m=-3/10 , b=1/2	$m = - \frac{3}{10}$ , $b = \frac{1}{2}$
154830	Find the Equation Using Slope-Intercept Form	m=3/2 , (6,-9)	$m = \frac{3}{2}$ , $(6, - 9)$
154831	Find the Equation Using Slope-Intercept Form	m=1/4 , b=-3	$m = \frac{1}{4}$ , $b = - 3$
154832	Find the Equation Using Slope-Intercept Form	m=-1 , (0,11)	$m = - 1$ , $(0, 11)$
154833	Find the Equation Using Slope-Intercept Form	m=0 , b=6	$m = 0$ , $b = 6$
154834	Find the Equation Using Slope-Intercept Form	m=10 , (7,7)	$m = 10$ , $(7, 7)$
154835	Find the Equation Using Slope-Intercept Form	m=-2 , (2,4)	$m = - 2$ , $(2, 4)$
154836	Find the Equation Using Slope-Intercept Form	m=2 , (-3,4)	$m = 2$ , $(- 3, 4)$
154837	Find the Equation Using Slope-Intercept Form	m=2 , b=-1	$m = 2$ , $b = - 1$
154838	Find the Derivative Using Quotient Rule - d/dx	y=(x^4+6)/(3-4x^-4)	$y = \frac{x^{4} + 6}{3 - 4 x^{- 4}}$
154839	Find the Derivative Using Quotient Rule - d/dy	(y^3-y^2+8y-5)/(y-7)	$\frac{y^{3} - y^{2} + 8 y - 5}{y - 7}$
154840	Use the Factor Theorem to Determine if x-5/2 is a Factor	f(x)=4x^4-20x^3+33x^2-22x+5 , x-5/2	$f (x) = 4 x^{4} - 20 x^{3} + 33 x^{2} - 22 x + 5$ , $x - \frac{5}{2}$
154841	Use the Factor Theorem to Determine if x-7 is a Factor	f(x)=x^3+5x^2-12x+14 ; x-7	$f (x) = x^{3} + 5 x^{2} - 12 x + 14$ ; $x - 7$
154842	Find the Local Maxima and Minima	y=2x^3-6x^2	$y = 2 x^{3} - 6 x^{2}$
154843	Find the Sine Given the Point	p=(-( square root of 3)/2,1/2)	$p = (- \frac{\sqrt{3}}{2}, \frac{1}{2})$
154844	Find the Average	4 , 6 , 7 , 3 , 5 , 2 , 1 , 3 , 6 , 5	$4$ , $6$ , $7$ , $3$ , $5$ , $2$ , $1$ , $3$ , $6$ , $5$
154845	Find the Domain	f(x)=-3x+5 if x<1; 3x-1 if x>=1	$f (x) = {\begin{cases} - 3 x + 5 & x < 1 \\ 3 x - 1 & x \geq 1 \end{cases}$
154846	Find the Average	13 , 2 , 1 , 5 , 2 , 7	$13$ , $2$ , $1$ , $5$ , $2$ , $7$
154847	Find the Average	225 , 280 , 300 , 200 , 190 , 250 , 220 , 205 , 195	$225$ , $280$ , $300$ , $200$ , $190$ , $250$ , $220$ , $205$ , $195$
154848	Find the Domain	f(x) = square root of x+3 if -3<=x<=1; 3-x if x>1	$f (x) = {\begin{cases} \sqrt{x + 3} & - 3 \leq x \leq 1 \\ 3 - x & x > 1 \end{cases}$
154849	Find the Sine Given the Point	(60/61,-11/61)	$(\frac{60}{61}, - \frac{11}{61})$
154850	Find the Intersection of the Inequalities	y+x>=-9y>=x-72y+x<=16	$y + x \geq - 9 y \geq x - 72 y + x \leq 16$
154851	Find the Standard Form of the Parabola	f(x)=4x^2-16x+17	$f (x) = 4 x^{2} - 16 x + 17$
154852	Find the Standard Form of the Parabola	f(x)=-4x^2-20x+5	$f (x) = - 4 x^{2} - 20 x + 5$
154853	Find the Standard Form of the Parabola	f(x)=x^2+8x+13	$f (x) = x^{2} + 8 x + 13$
154854	Find the Standard Form of the Parabola	f(x)=x^2-2x-1	$f (x) = x^{2} - 2 x - 1$
154855	Find the Standard Form of the Parabola	f(x)=-x^2+4x-8	$f (x) = - x^{2} + 4 x - 8$
154856	Find the Standard Form of the Parabola	f(x)=x^2-8x+7	$f (x) = x^{2} - 8 x + 7$
154857	Find the Standard Form of the Parabola	x^2+20x-4y+100=0	$x^{2} + 20 x - 4 y + 100 = 0$
154858	Find the Standard Form of the Parabola	x^2+10x+16y-7=0	$x^{2} + 10 x + 16 y - 7 = 0$
154859	Find the Standard Form of the Parabola	g(x)=2x^2-12x+19	$g (x) = 2 x^{2} - 12 x + 19$
154860	Find the Standard Form of the Parabola	x^2-12x+16y-28=0	$x^{2} - 12 x + 16 y - 28 = 0$
154861	Find the Standard Form of the Parabola	x^2-12x+y+40=0	$x^{2} - 12 x + y + 40 = 0$
154862	Find the Standard Form of the Parabola	x^2-2x+4y+13=0	$x^{2} - 2 x + 4 y + 13 = 0$
154863	Find the Standard Form of the Parabola	x^2-2x+y+2=0	$x^{2} - 2 x + y + 2 = 0$
154864	Find the Standard Form of the Parabola	x^2-4x-4y-16=0	$x^{2} - 4 x - 4 y - 16 = 0$
154865	Find the Standard Form of the Parabola	x^2-4x-4y-20=0	$x^{2} - 4 x - 4 y - 20 = 0$
154866	Find the Standard Form of the Parabola	x^2-4x-8y-12=0	$x^{2} - 4 x - 8 y - 12 = 0$
154867	Find the Standard Form of the Parabola	x^2-4x+16y+17=0	$x^{2} - 4 x + 16 y + 17 = 0$
154868	Find the Standard Form of the Parabola	x^2-4x+4y+24=0	$x^{2} - 4 x + 4 y + 24 = 0$
154869	Find the Standard Form of the Parabola	x^2+4x-8y+12=0	$x^{2} + 4 x - 8 y + 12 = 0$
154870	Find the Standard Form of the Parabola	x^2+4x+8y+12=0	$x^{2} + 4 x + 8 y + 12 = 0$
154871	Find the Domain of the Quotient of the Two Functions	f(x)=1/(x^2) , g(x) = square root of 2+x	$f (x) = \frac{1}{x^{2}}$ , $g (x) = \sqrt{2 + x}$
154872	Find the Domain of the Quotient of the Two Functions	f(x)=6/(1-7x) , g(x)=1/x	$f (x) = \frac{6}{1 - 7 x}$ , $g (x) = \frac{1}{x}$
154873	Find the Domain of the Quotient of the Two Functions	f(x)=2x-5 , g(x) = square root of x+3	$f (x) = 2 x - 5$ , $g (x) = \sqrt{x + 3}$
154874	Find the Standard Form of the Parabola	(y-4)^2=9(x-4)	${(y - 4)}^{2} = 9 (x - 4)$
154875	Find the Standard Form of the Parabola	(y-1)^2=16(x+3)	${(y - 1)}^{2} = 16 (x + 3)$
154876	Find the Standard Form of the Parabola	f(x)=-(x+1)^2+4	$f (x) = - {(x + 1)}^{2} + 4$
154877	Find the Standard Form of the Parabola	f(x)=(x-1)^2+1	$f (x) = {(x - 1)}^{2} + 1$
154878	Find the Standard Form of the Parabola	2y^2+x+28y+90=0	$2 y^{2} + x + 28 y + 90 = 0$
154879	Find the Standard Form of the Parabola	4x^2+48x+y+158=0	$4 x^{2} + 48 x + y + 158 = 0$
154880	Find the Standard Form of the Parabola	4y^2+x-32y+68=0	$4 y^{2} + x - 32 y + 68 = 0$
154881	Find the Standard Form of the Parabola	f(x)=2x^2+28x+90	$f (x) = 2 x^{2} + 28 x + 90$
154882	Find the Standard Form of the Parabola	f(x)=2(x-3)^2-7	$f (x) = 2 {(x - 3)}^{2} - 7$
154883	Find the Standard Form of the Parabola	f(x)=2(x-5)^2+3	$f (x) = 2 {(x - 5)}^{2} + 3$
154884	Find the Standard Form of the Parabola	f(x)=2x^2	$f (x) = 2 x^{2}$
154885	Find the Standard Form of the Parabola	f(x)=3(x-2)^2+3	$f (x) = 3 {(x - 2)}^{2} + 3$
154886	Find the Standard Form of the Parabola	f(x)=3(x-4)^2+2	$f (x) = 3 {(x - 4)}^{2} + 2$
154887	Find the Standard Form of the Parabola	f(x)=3x^2+12x+7	$f (x) = 3 x^{2} + 12 x + 7$
154888	Solve for x	-9<x+1<-7	$- 9 < x + 1 < - 7$
154889	Solve for x	-8<4(x-2)<=3	$- 8 < 4 (x - 2) \leq 3$
154890	Solve for x	-8<3x-2<=4	$- 8 < 3 x - 2 \leq 4$
154891	Solve for z	6<3z+3<12	$6 < 3 z + 3 < 12$
154892	Solve Using a Matrix with Cramer's Rule	0.025x+0.035y+0.04z+0.06w=5600x+y+z+w=140000w-0.25z=0	$0.025 x + 0.035 y + 0.04 z + 0.06 w = 5600 x + y + z + w = 140000 w - 0.25 z = 0$
154893	Solve Using a Matrix with Cramer's Rule	3x-2y+3z=5 , 3x+2y+4z=-4 , -5x+5y-4z=-2	$3 x - 2 y + 3 z = 5$ , $3 x + 2 y + 4 z = - 4$ , $- 5 x + 5 y - 4 z = - 2$
154894	Solve Using a Matrix with Cramer's Rule	5x-3y=182x+7y=-1	$5 x - 3 y = 182 x + 7 y = - 1$
154895	Solve Using a Matrix with Cramer's Rule	x-5y=-5-4x-2y=20	$x - 5 y = - 5 - 4 x - 2 y = 20$
154896	Use the Table to Find the z-Score	0.20	$0.2$
154897	Solve for x	-6<=-2x+4<8	$- 6 \leq - 2 x + 4 < 8$
154898	Solve for x	-6<(3x-1)/4<0	$- 6 < \frac{3 x - 1}{4} < 0$
154899	Solve for x	-6<2x<=16	$- 6 < 2 x \leq 16$
154900	Solve for x	-5<3x+1<=7	$- 5 < 3 x + 1 \leq 7$