Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
137701	Determine if the Expression is a Factor Using Synthetic Division	x^3+7x^2+7x-15 ; x+5	$x^{3} + 7 x^{2} + 7 x - 15$ ; $x + 5$
137702	Find the Union of the Inequalities	x<5 , x>2	$x < 5$ , $x > 2$
137703	Expand Using Sum/Difference Formulas	cos((3pi)/7)cos((2pi)/21)+sin((3pi)/7)sin((2pi)/21)	$\cos (\frac{3 π}{7}) \cos (\frac{2 π}{21}) + \sin (\frac{3 π}{7}) \sin (\frac{2 π}{21})$
137704	Expand Using Sum/Difference Formulas	cos(2x)cos(4x)	$\cos (2 x) \cos (4 x)$
137705	Expand Using Sum/Difference Formulas	tan(-75)	$\tan (- 75)$
137706	Expand Using Sum/Difference Formulas	sin((4pi)/5)cos(pi/30)+cos((4pi)/5)sin(pi/30)	$\sin (\frac{4 π}{5}) \cos (\frac{π}{30}) + \cos (\frac{4 π}{5}) \sin (\frac{π}{30})$
137707	Expand Using Sum/Difference Formulas	sin(240)	$\sin (240)$
137708	Find the Equation Using Slope-Intercept Form	m=-6 , b=8/7	$m = - 6$ , $b = \frac{8}{7}$
137709	Find the Equation Using Slope-Intercept Form	m=-7 , (7,8)	$m = - 7$ , $(7, 8)$
137710	Find the Equation Using Slope-Intercept Form	m=7 , b=3	$m = 7$ , $b = 3$
137711	Find the Equation Using Slope-Intercept Form	m=-8 , b=-1/2	$m = - 8$ , $b = - \frac{1}{2}$
137712	Find the Equation Using Slope-Intercept Form	m=9 , (6,6)	$m = 9$ , $(6, 6)$
137713	Find the Equation Using Slope-Intercept Form	m=-5 , (3/2,2)	$m = - 5$ , $(\frac{3}{2}, 2)$
137714	Find the Equation Using Slope-Intercept Form	m=3 , (0,-4)	$m = 3$ , $(0, - 4)$
137715	Find the Equation Using Slope-Intercept Form	m=-3 , (7,9)	$m = - 3$ , $(7, 9)$
137716	Find the Equation Using Slope-Intercept Form	m=-3 , b=8/3	$m = - 3$ , $b = \frac{8}{3}$
137717	Find the Equation Using Slope-Intercept Form	m=2 , (-5,0)	$m = 2$ , $(- 5, 0)$
137718	Find the Equation Using Slope-Intercept Form	m=2 , b=-5	$m = 2$ , $b = - 5$
137719	Find the Equation Using Slope-Intercept Form	m=2 , b=7	$m = 2$ , $b = 7$
137720	Find the Equation Using Slope-Intercept Form	m=-5/9 , (5,4)	$m = - \frac{5}{9}$ , $(5, 4)$
137721	Find the Equation Using Slope-Intercept Form	m=6/7 , (5,8)	$m = \frac{6}{7}$ , $(5, 8)$
137722	Find the Equation Using Slope-Intercept Form	m=-3/5 , b=1/10	$m = - \frac{3}{5}$ , $b = \frac{1}{10}$
137723	Find the Equation Using Slope-Intercept Form	m=-3/4 , b=4/5	$m = - \frac{3}{4}$ , $b = \frac{4}{5}$
137724	Find the Equation Using Slope-Intercept Form	m=7/10 , b=0	$m = \frac{7}{10}$ , $b = 0$
137725	Find the Equation Using Slope-Intercept Form	m=3/2 , (4,-9)	$m = \frac{3}{2}$ , $(4, - 9)$
137726	Find the Equation Using Slope-Intercept Form	m=-3/2 , b=0	$m = - \frac{3}{2}$ , $b = 0$
137727	Find the Equation Using Slope-Intercept Form	m=-1/8 , (-7,0)	$m = - \frac{1}{8}$ , $(- 7, 0)$
137728	Find the Equation Using Slope-Intercept Form	m=-1/6 , (8,0)	$m = - \frac{1}{6}$ , $(8, 0)$
137729	Find the Equation Using Slope-Intercept Form	m=-1/4 , b=5/4	$m = - \frac{1}{4}$ , $b = \frac{5}{4}$
137730	Find the Equation Using Slope-Intercept Form	m=-1/5 , (-6,0)	$m = - \frac{1}{5}$ , $(- 6, 0)$
137731	Find the Equation Using Slope-Intercept Form	(0,3) , m=1	$(0, 3)$ , $m = 1$
137732	Find the Equation Using Slope-Intercept Form	(0,2) , m=2	$(0, 2)$ , $m = 2$
137733	Find the Equation Using Slope-Intercept Form	(-1,-4) , 9x+3y=8	$(- 1, - 4)$ , $9 x + 3 y = 8$
137734	Find the Equation Using Slope-Intercept Form	-3/4 , (-2,4)	$- \frac{3}{4}$ , $(- 2, 4)$
137735	Find the Equation Using Slope-Intercept Form	(4,4) slope=3	$(4, 4)$ $s l o p e = 3$
137736	Find the Equation Using Slope-Intercept Form	m=-1/10 , b=1/4	$m = - \frac{1}{10}$ , $b = \frac{1}{4}$
137737	Convert from Interval to Inequality	[-1,8]	$[- 1, 8]$
137738	Round to the Nearest Ten	24	$24$
137739	Round to the Nearest Ten	45	$45$
137740	Round to the Nearest Ten	55	$55$
137741	Convert from Interval to Inequality	[-9,infinity)	$[- 9, \infty)$
137742	Round to the Nearest Ten	101	$101$
137743	Convert from Interval to Inequality	(-2,infinity)	$(- 2, \infty)$
137744	Convert from Interval to Inequality	(-6,6)	$(- 6, 6)$
137745	Convert from Interval to Inequality	(3,9)	$(3, 9)$
137746	Find the Constant of Variation	2x-16y=0	$2 x - 16 y = 0$
137747	Find the Constant of Variation	4xy=24	$4 x y = 24$
137748	Find the Constant of Variation	x/y=-6	$\frac{x}{y} = - 6$
137749	Find the Constant of Variation	-14=2xy	$- 14 = 2 x y$
137750	Find the Constant of Variation	7x-14y=0	$7 x - 14 y = 0$
137751	Find the Constant of Variation	7xy=21	$7 x y = 21$
137752	Find the Constant of Variation	7y-3x=0	$7 y - 3 x = 0$
137753	Find the Constant of Variation	-7x+8y=-1	$- 7 x + 8 y = - 1$
137754	Find the Constant of Variation	y=9x	$y = 9 x$
137755	Find the Constant of Variation	y=-x	$y = - x$
137756	Find the Constant of Variation	y=5/4x	$y = \frac{5}{4} x$
137757	Find the Constant of Variation	y=10x	$y = 10 x$
137758	Find Where Undefined/Discontinuous	y=(x-3)/(x^2-9)	$y = \frac{x - 3}{x^{2} - 9}$
137759	Find Where Undefined/Discontinuous	y=(2x^2+10x+12)/(x^2-9)	$y = \frac{2 x^{2} + 10 x + 12}{x^{2} - 9}$
137760	Find Where Undefined/Discontinuous	y=1/(x^2-16)	$y = \frac{1}{x^{2} - 16}$
137761	Find Where Undefined/Discontinuous	y=((x+3)(x-7))/((x-7)(x+1))	$y = \frac{(x + 3) (x - 7)}{(x - 7) (x + 1)}$
137762	Round to the Nearest Whole Number	1989.975	$1989.975$
137763	Round to the Nearest Whole Number	150.72	$150.72$
137764	Round to the Nearest Whole Number	6.8	$6.8$
137765	Round to the Nearest Whole Number	431.75	$431.75$
137766	Round to the Nearest Whole Number	32.5	$32.5$
137767	Round to the Nearest Whole Number	826.605	$826.605$
137768	Round to the Nearest Whole Number	7.2	$7.2$
137769	Round to the Nearest Whole Number	904.77868423	$904.77868423$
137770	Find Where Undefined/Discontinuous	2/(13x)+1/4=95/(26x)-1/3	$\frac{2}{13 x} + \frac{1}{4} = \frac{95}{26 x} - \frac{1}{3}$
137771	Find the Derivative - d/dh	0.1091w^0.425h^0.725	$0.1091 w^{0.425} h^{0.725}$
137772	Find the Derivative - d/dm	square root of m	$\sqrt{m}$
137773	Find the Derivative - d/dt	( log of t)/( log base 8 of t)	$\frac{\log (t)}{\log_{8} (t)}$
137774	Find the Derivative - d/dr	r/( square root of r^2+3)	$\frac{r}{\sqrt{r^{2} + 3}}$
137775	Find the Derivative - d/du	sin(2u)	$\sin (2 u)$
137776	Find the Derivative - d/dt	5t^4-10t^2+6	$5 t^{4} - 10 t^{2} + 6$
137777	Find the Derivative - d/dt	-16t^2+64t+80	$- 16 t^{2} + 64 t + 80$
137778	Find f(g(x))	f(x)=((x-4)^2)/(x+2x) ; g(x)=(2x)/(x-4)	$f (x) = \frac{{(x - 4)}^{2}}{(x + 2 x)}$ ; $g (x) = \frac{(2 x)}{(x - 4)}$
137779	Find f(g(x))	f(x) = square root of 2x , g(x) = square root of 8x- square root of 32	$f (x) = \sqrt{2 x}$ , $g (x) = \sqrt{8 x} - \sqrt{32}$
137780	Find f(g(x))	f(x)=2x+4 , g(x)=1/2x-2	$f (x) = 2 x + 4$ , $g (x) = \frac{1}{2} x - 2$
137781	Find f(g(x))	f(x)=2x^2+3 , g(x)=3x-1	$f (x) = 2 x^{2} + 3$ , $g (x) = 3 x - 1$
137782	Find the Derivative - d/dy	e^(7xy)	$e^{7 x y}$
137783	Find f(g(x))	f(x)=x^2+3 ; g(x)=3x-5	$f (x) = x^{2} + 3$ ; $g (x) = 3 x - 5$
137784	Find f(g(x))	f(x)=x^2+6x-3g(x)=x-5	$f (x) = x^{2} + 6 x - 3 g (x) = x - 5$
137785	Find f(g(x))	f(x)=x^2-6x+2 , g(x)=-2x	$f (x) = x^{2} - 6 x + 2$ , $g (x) = - 2 x$
137786	Find f(g(x))	f(x)=3x^2-x+2 , g(x)=5x^2-1.7n	$f (x) = 3 x^{2} - x + 2$ , $g (x) = 5 x^{2} - 1.7 n$
137787	Find f(g(x))	f(x)=7-7x , g(x)=-3x+7	$f (x) = 7 - 7 x$ , $g (x) = - 3 x + 7$
137788	Find f(g(x))	f(x)=8x+9 g(x)=2x-5	$f (x) = 8 x + 9$ $g (x) = 2 x - 5$
137789	Find f(g(x))	f(x)=4x-6g(x)=(x+6)/4	$f (x) = 4 x - 6 g (x) = \frac{x + 6}{4}$
137790	Find g(f(x))	f(x)=3x+4 , g(x)=8x^2-6	$f (x) = 3 x + 4$ , $g (x) = 8 x^{2} - 6$
137791	Find g(f(x))	f(x)=2x-3 g(x)=(x-3)/2	$f (x) = 2 x - 3$ $g (x) = \frac{x - 3}{2}$
137792	Find g(f(x))	f(x) = square root of x , g(x)=x+4	$f (x) = \sqrt{x}$ , $g (x) = x + 4$
137793	Find f(g(y))	f(y)=(2y^3-y^2+2y-1)/(y^3-y^2+y-1) , g(y)=(2y^2-3y+1)/(4y^2-4y+1)	$f (y) = \frac{2 y^{3} - y^{2} + 2 y - 1}{y^{3} - y^{2} + y - 1}$ , $g (y) = \frac{2 y^{2} - 3 y + 1}{4 y^{2} - 4 y + 1}$
137794	Find f(h(x))	f(x) = cube root of 9x+4h(x)=(x^3-4)/9	$f (x) = \sqrt[3]{9 x + 4} h (x) = \frac{x^{3} - 4}{9}$
137795	Find q(r(x))	q(x)=x^2+1r(x) = square root of x+6	$q (x) = x^{2} + 1 r (x) = \sqrt{x + 6}$
137796	Find g(h(x))	g(x)=(8x-1)/(x+4)h(x)=3x+10	$g (x) = \frac{8 x - 1}{x + 4} h (x) = 3 x + 10$
137797	Find g(g(x))	g(x)=5x+1g(x)=5x+1	$g (x) = 5 x + 1 g (x) = 5 x + 1$
137798	Find p(f(t))	p(t)=100 , 0e^(0.05t)	$p (t) = 100$ , $0 e^{0.05 t}$
137799	Find g(f(x))	f(x)=x^2-2x g(x)=x-3	$f (x) = x^{2} - 2 x$ $g (x) = x - 3$
137800	Determine if the Relation is a Function	(1,2) , (2,2) , (3,2)	$(1, 2)$ , $(2, 2)$ , $(3, 2)$