Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
102701	Find f(g(x))	f(x)=5x^2-4x , g(x)=5x+1	$f (x) = 5 x^{2} - 4 x$ , $g (x) = 5 x + 1$
102702	Find the Vertex	f(x)=x^2-6x-4	$f (x) = x^{2} - 6 x - 4$
102703	Simplify	square root of 20x^3	$\sqrt{20 x^{3}}$
102704	Find f(g(x))	f(x)=3x-1 , g(x)=4x^2	$f (x) = 3 x - 1$ , $g (x) = 4 x^{2}$
102705	Find the Vertex	f(x)=x^2-16	$f (x) = x^{2} - 16$
102706	Solve by Substitution	x+y=k , x-y=k	$x + y = k$ , $x - y = k$
102707	Write with Rational (Fractional) Exponents	( cube root of 6x)^4	${(\sqrt[3]{6 x})}^{4}$
102708	Find the Vertex	f(x)=x^2-4x+9	$f (x) = x^{2} - 4 x + 9$
102709	Factor	4r^2-64	$4 r^{2} - 64$
102710	Find f(g(x))	f(x)=-2x+12 , g(x)=-1/2x-12	$f (x) = - 2 x + 12$ , $g (x) = - \frac{1}{2} x - 12$
102711	Find the Vertex	f(x)=x^2-11x	$f (x) = x^{2} - 11 x$
102712	Find the Vertex	f(x)=x^2+10x+13	$f (x) = x^{2} + 10 x + 13$
102713	Find f(g(x))	f(x)=2x-5 , g(x) = square root of x+2	$f (x) = 2 x - 5$ , $g (x) = \sqrt{x + 2}$
102714	Find the Vertex	f(x)=-x^2+4x-4	$f (x) = - x^{2} + 4 x - 4$
102715	Graph	y>=4x	$y \geq 4 x$
102716	Find the Vertex	f(x)=x^2+5x-6	$f (x) = x^{2} + 5 x - 6$
102717	Add	2 square root of 7+3 square root of 7	$2 \sqrt{7} + 3 \sqrt{7}$
102718	Add	square root of 28+ square root of 63	$\sqrt{28} + \sqrt{63}$
102719	Find f(g(x))	f(x)=7x-3 g(x)=(x+7)/3	$f (x) = 7 x - 3$ $g (x) = \frac{x + 7}{3}$
102720	Find f(g(x))	f(x)=x+9 g(x)=x-9	$f (x) = x + 9$ $g (x) = x - 9$
102721	Find the Vertex	d(t)=-16t^2+32t+120	$d (t) = - 16 t^{2} + 32 t + 120$
102722	Find f(g(x))	f(x)=2x-5 , g(x)=3x+7	$f (x) = 2 x - 5$ , $g (x) = 3 x + 7$
102723	Find f(g(x))	f(x)=x^2-3 , g(x)=3x-2	$f (x) = x^{2} - 3$ , $g (x) = 3 x - 2$
102724	Write in Standard Form	5^3i^9	$5^{3} i^{9}$
102725	Find the Vertex	f(x)=(x-1)^2+3	$f (x) = {(x - 1)}^{2} + 3$
102726	Find the Vertex	f(x)=-(x-3)^2+2	$f (x) = - {(x - 3)}^{2} + 2$
102727	Find f(g(x))	f(x)=9x-5 , g(x)=(x+9)/5	$f (x) = 9 x - 5$ , $g (x) = \frac{x + 9}{5}$
102728	Find the Vertex	f(x)=-3x^2-6x-7	$f (x) = - 3 x^{2} - 6 x - 7$
102729	Find f(g(x))	f(x)=1/4x^2 , g(x)=-2x^2 , h(x)=4x^2	$f (x) = \frac{1}{4} x^{2}$ , $g (x) = - 2 x^{2}$ , $h (x) = 4 x^{2}$
102730	Find f(g(x))	f(x) = square root of x-3 , g(x)=x+5	$f (x) = \sqrt{x - 3}$ , $g (x) = x + 5$
102731	Find the Vertex	f(x)=4x^2-8x+9	$f (x) = 4 x^{2} - 8 x + 9$
102732	Find f(g(x))	f(x)=1/(x-6) g(x)=1/x	$f (x) = \frac{1}{x - 6}$ $g (x) = \frac{1}{x}$
102733	Simplify	square root of 286	$\sqrt{286}$
102734	Simplify	(a-5)(a^2+5a+25)	$(a - 5) (a^{2} + 5 a + 25)$
102735	Find f(g(x))	f(x)=x^2-7 , g(x)=3x-3	$f (x) = x^{2} - 7$ , $g (x) = 3 x - 3$
102736	Find the Vertex	f(x)=-3x^2+12x-13	$f (x) = - 3 x^{2} + 12 x - 13$
102737	Find the Vertex	g(x)=-x^2-10x+11	$g (x) = - x^{2} - 10 x + 11$
102738	Find the Vertex	p(x)=-5x^2+280x-3515	$p (x) = - 5 x^{2} + 280 x - 3515$
102739	Find the Maximum/Minimum Value	f(x)=3x^2-24x-9	$f (x) = 3 x^{2} - 24 x - 9$
102740	Find f(g(x))	f(x)=4x-4 , g(x)=x^2-4	$f (x) = 4 x - 4$ , $g (x) = x^{2} - 4$
102741	Solve for w	(w+14)/(4w+6)=3/4	$\frac{w + 14}{4 w + 6} = \frac{3}{4}$
102742	Find f(g(x))	f(x)=x/4 , g(x)=4x	$f (x) = \frac{x}{4}$ , $g (x) = 4 x$
102743	Find the Maximum/Minimum Value	f(x)=-4x^2+8x-3	$f (x) = - 4 x^{2} + 8 x - 3$
102744	Find f(g(x))	f(x)=4x-7 , g(x)=4-x	$f (x) = 4 x - 7$ , $g (x) = 4 - x$
102745	Find the Maximum/Minimum Value	f(x)=-2x^2+4x-5	$f (x) = - 2 x^{2} + 4 x - 5$
102746	Find f(g(x))	f(x)=9/(x-5) , g(x)=9/x+5	$f (x) = \frac{9}{x - 5}$ , $g (x) = \frac{9}{x} + 5$
102747	Find f(g(x))	f(x)=(x-3)/10 , g(x)=10x+3(g*f)(x)	$f (x) = \frac{x - 3}{10}$ , $g (x) = 10 x + 3 (g \cdot f) (x)$
102748	Find f(g(x))	f(x) = square root of x+6 , g(x)=8x-10	$f (x) = \sqrt{x + 6}$ , $g (x) = 8 x - 10$
102749	Find the Maximum/Minimum Value	f(x)=x^2+4x+7	$f (x) = x^{2} + 4 x + 7$
102750	Find the Maximum/Minimum Value	f(x)=-x^2+4x-7	$f (x) = - x^{2} + 4 x - 7$
102751	Solve for m	14+8m=14-3m-5m	$14 + 8 m = 14 - 3 m - 5 m$
102752	Find f(g(x))	f(x)=6x^2-9x , g(x)=3x	$f (x) = 6 x^{2} - 9 x$ , $g (x) = 3 x$
102753	Find the Distance Between Two Points	(2,-5) , (6,3)	$(2, - 5) (6, 3)$
102754	Find f(g(x))	f(x)=x^-2 g(x)=(x-1)/3	$f (x) = x^{- 2}$ $g (x) = \frac{(x - 1)}{3}$
102755	Find the Maximum/Minimum Value	y=2(x+2)^2-3	$y = 2 {(x + 2)}^{2} - 3$
102756	Find the Maximum/Minimum Value	y=3x^2-4x-2	$y = 3 x^{2} - 4 x - 2$
102757	Find f(g(x))	f(x)=9x-2 g(x)=(x+2)/9	$f (x) = 9 x - 2$ $g (x) = \frac{x + 2}{9}$
102758	Find the Maximum/Minimum Value	h(t)=76t-16t^2	$h (t) = 76 t - 16 t^{2}$
102759	Find f(g(x))	f(x)=4x-3 , g(x)=3x^2-2	$f (x) = 4 x - 3$ , $g (x) = 3 x^{2} - 2$
102760	Find the Maximum/Minimum Value	h(t)=64t-16t^2	$h (t) = 64 t - 16 t^{2}$
102761	Find the Maximum/Minimum Value	g(x)=x^2-2x+1	$g (x) = x^{2} - 2 x + 1$
102762	Solve by Addition/Elimination	x+4y=13 , 2x+3y=6	$x + 4 y = 13$ , $2 x + 3 y = 6$
102763	Find f(g(x))	f(x)=5x+9 ; g(x)=2x-1	$f (x) = 5 x + 9$ ; $g (x) = 2 x - 1$
102764	Solve by Addition/Elimination	2x+3y+7z=13 , 3x+2y-5z=-22 , 5x+7y-3z=-28	$2 x + 3 y + 7 z = 13$ , $3 x + 2 y - 5 z = - 22$ , $5 x + 7 y - 3 z = - 28$
102765	Simplify	(-3+8i)(-3-8i)	$(- 3 + 8 i) (- 3 - 8 i)$
102766	Solve by Substitution	y=6x , 2x+3y=-20	$y = 6 x$ , $2 x + 3 y = - 20$
102767	Solve by Addition/Elimination	x^2+y^2=49 , y^2-5x=49	$x^{2} + y^{2} = 49$ , $y^{2} - 5 x = 49$
102768	Solve by Addition/Elimination	4x^2-5y^2=-16 , 5x^2+2y^2=13	$4 x^{2} - 5 y^{2} = - 16$ , $5 x^{2} + 2 y^{2} = 13$
102769	Find f(g(x))	f(x)=1/(x-4) , g(x)=16/x	$f (x) = \frac{1}{x - 4}$ , $g (x) = \frac{16}{x}$
102770	Solve by Addition/Elimination	3x^2-5y^2=-33 , 2x^2+3y^2=35	$3 x^{2} - 5 y^{2} = - 33$ , $2 x^{2} + 3 y^{2} = 35$
102771	Solve by Substitution	-x+3y=6 , x-3y=-6	$- x + 3 y = 6$ , $x - 3 y = - 6$
102772	Solve by Substitution	-x+4y=-4 , x-4y=4	$- x + 4 y = - 4$ , $x - 4 y = 4$
102773	Solve by Substitution	x+5y=4 , 3x+15y=-1	$x + 5 y = 4$ , $3 x + 15 y = - 1$
102774	Find f(g(x))	f(x)=6x-3 , g(x)=5/(x+3)	$f (x) = 6 x - 3$ , $g (x) = \frac{5}{x + 3}$
102775	Solve by Substitution	x+4y=-8 , x-4y=-8	$x + 4 y = - 8$ , $x - 4 y = - 8$
102776	Find f(g(x))	f(x)=10x+6 , g(x)=(x-6)/10	$f (x) = 10 x + 6$ , $g (x) = \frac{x - 6}{10}$
102777	Solve by Substitution	x-3y=9 , -x+3y=9	$x - 3 y = 9$ , $- x + 3 y = 9$
102778	Solve by Substitution	x-4y=27 , 3x+y=-23	$x - 4 y = 27$ , $3 x + y = - 23$
102779	Solve by Substitution	-x-7y=14 , -4x-14y=28	$- x - 7 y = 14$ , $- 4 x - 14 y = 28$
102780	Solve by Substitution	x-2y=8 , x+2y=-4	$x - 2 y = 8$ , $x + 2 y = - 4$
102781	Solve by Substitution	x-2y-z=2 , -x+6y-3z=-6 , 2x-11y+5z=11	$x - 2 y - z = 2$ , $- x + 6 y - 3 z = - 6$ , $2 x - 11 y + 5 z = 11$
102782	Solve by Substitution	-x-2y=2 , x+2y=2	$- x - 2 y = 2$ , $x + 2 y = 2$
102783	Solve by Substitution	x=y-2 , 3x-y=6	$x = y - 2$ , $3 x - y = 6$
102784	Solve by Substitution	xy=8 , x^2+y^2=65	$x y = 8$ , $x^{2} + y^{2} = 65$
102785	Find f(g(x))	f(x)=2x-3 g(x)=x+8	$f (x) = 2 x - 3$ $g (x) = x + 8$
102786	Solve by Substitution	y=5x , 10x-2y=0	$y = 5 x$ , $10 x - 2 y = 0$
102787	Find f(g(x))	f(x)=3x-5 , g(x)=4x^2-2	$f (x) = 3 x - 5$ , $g (x) = 4 x^{2} - 2$
102788	Solve by Substitution	y=-1/4x-1 , 2x-4y=16	$y = - \frac{1}{4} x - 1$ , $2 x - 4 y = 16$
102789	Solve by Substitution	xy=4 , x^2+y^2=17	$x y = 4$ , $x^{2} + y^{2} = 17$
102790	Solve by Substitution	xy=4 , x^2+y^2=8	$x y = 4$ , $x^{2} + y^{2} = 8$
102791	Find f(g(x))	f(x)=4x+6 , g(x)=2x^2	$f (x) = 4 x + 6$ , $g (x) = 2 x^{2}$
102792	Solve by Substitution	x+y=9 , x-y=-1	$x + y = 9$ , $x - y = - 1$
102793	Solve by Substitution	x+y=6 , y-x=6	$x + y = 6$ , $y - x = 6$
102794	Find f(g(x))	f(x) = fifth root of x-2 , g(x)=x^5+2	$f (x) = \sqrt[5]{x - 2}$ , $g (x) = x^{5} + 2$
102795	Solve by Substitution	x+y=3 , y=x^2-3	$x + y = 3$ , $y = x^{2} - 3$
102796	Solve by Substitution	x+y=3 , 2x-y=0	$x + y = 3$ , $2 x - y = 0$
102797	Solve by Substitution	x+y=4 , y=-3x	$x + y = 4$ , $y = - 3 x$
102798	Find f(g(x))	f(x)=x+5 , g(x)=5x+5	$f (x) = x + 5$ , $g (x) = 5 x + 5$
102799	Solve by Substitution	x+y=5 , y=4x	$x + y = 5$ , $y = 4 x$
102800	Solve by Substitution	x+y=12 , y=-4x	$x + y = 12$ , $y = - 4 x$