Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
102601	Calculate the Square Root	square root of 675	$\sqrt{675}$
102602	Find g(f(x))	f(x)=2x-4 , g(x)=2x^2-3	$f (x) = 2 x - 4$ , $g (x) = 2 x^{2} - 3$
102603	Find g(f(x))	f(x)=72 , g(x)=0.18	$f (x) = 72$ , $g (x) = 0.18$
102604	Find the Foci	9x^2+25y^2-200y+175=0	$9 x^{2} + 25 y^{2} - 200 y + 175 = 0$
102605	Find the Properties	f(x)=x^2-16	$f (x) = x^{2} - 16$
102606	Find g(f(x))	f(x)=x+2 , g(x)=1/x	$f (x) = x + 2$ , $g (x) = \frac{1}{x}$
102607	Find g(f(x))	f(x)=3-8x+x^2 , g(x)=x/(x-4.5)	$f (x) = 3 - 8 x + x^{2}$ , $g (x) = \frac{x}{x - 4.5}$
102608	Find the Properties	g(x)=(x-2)^2	$g (x) = {(x - 2)}^{2}$
102609	Graph	f(x)=x^2+5\|x\|+6	$f (x) = x^{2} + 5 \| x \| + 6$
102610	Find g(f(x))	f(x)=7x+3 , g(x) = square root of x	$f (x) = 7 x + 3$ , $g (x) = \sqrt{x}$
102611	Solve by Substitution	x^2-y=0 , 2x+y=8	$x^{2} - y = 0$ , $2 x + y = 8$
102612	Find g(f(x))	f(x)=3x+9 , g(x)=5x-1(fog)x	$f (x) = 3 x + 9$ , $g (x) = 5 x - 1 (f o g) x$
102613	Solve by Substitution	x^2-y=0 , 3x+y=10	$x^{2} - y = 0$ , $3 x + y = 10$
102614	Solve by Substitution	x^2+y^2=100 , y^2=x+10	$x^{2} + y^{2} = 100$ , $y^{2} = x + 10$
102615	Find g(f(x))	f(x)=3x-2 , g(x)=x^2+5	$f (x) = 3 x - 2$ , $g (x) = x^{2} + 5$
102616	Solve by Substitution	x^2+y^2=26 , y-x=4	$x^{2} + y^{2} = 26$ , $y - x = 4$
102617	Solve by Substitution	x^2+y^2=16 , x^2-y^2=16	$x^{2} + y^{2} = 16$ , $x^{2} - y^{2} = 16$
102618	Find g(f(x))	f(x)=6x^2+5 g(x)=3x-5	$f (x) = 6 x^{2} + 5$ $g (x) = 3 x - 5$
102619	Solve by Substitution	2x+y=1 , x-y=3	$2 x + y = 1$ , $x - y = 3$
102620	Solve by Substitution	2x+y=4 , y=2x	$2 x + y = 4$ , $y = 2 x$
102621	Solve by Substitution	2x+y=20 , y=3x	$2 x + y = 20$ , $y = 3 x$
102622	Solve by Substitution	2x+3y=-18 , 5x-6y=9	$2 x + 3 y = - 18$ , $5 x - 6 y = 9$
102623	Find g(f(x))	f(x)=3x-5 , g(x)=4x^2-5	$f (x) = 3 x - 5$ , $g (x) = 4 x^{2} - 5$
102624	Solve by Substitution	2x+4y=22 , 2x-2y=-8	$2 x + 4 y = 22$ , $2 x - 2 y = - 8$
102625	Solve by Substitution	15x-10y=-5 , 15y=4+5x	$15 x - 10 y = - 5$ , $15 y = 4 + 5 x$
102626	Find g(f(x))	f(x)=4/5x-3 , g(x)=(5x+15)/4	$f (x) = \frac{4}{5} x - 3$ , $g (x) = \frac{5 x + 15}{4}$
102627	Solve by Substitution	15x-10y=-5 , 15y=6+15x	$15 x - 10 y = - 5$ , $15 y = 6 + 15 x$
102628	Solve by Substitution	15x-10y=5 , 5y=-2+5x	$15 x - 10 y = 5$ , $5 y = - 2 + 5 x$
102629	Solve by Substitution	15x-20y=1 , 10y=1+15x	$15 x - 20 y = 1$ , $10 y = 1 + 15 x$
102630	Find g(f(x))	f(x)=-6x+9 g(x)=5x+9	$f (x) = - 6 x + 9$ $g (x) = 5 x + 9$
102631	Solve by Substitution	15x-20y=1 , 5y=1+10x	$15 x - 20 y = 1$ , $5 y = 1 + 10 x$
102632	Find g(f(x))	f(x)=4x^2-4x-1 , g(x)=x+3	$f (x) = 4 x^{2} - 4 x - 1$ , $g (x) = x + 3$
102633	Solve by Substitution	81x^2+9y^2=729 , y=x^2-9	$81 x^{2} + 9 y^{2} = 729$ , $y = x^{2} - 9$
102634	Solve by Substitution	5x+y=28 , y=2x	$5 x + y = 28$ , $y = 2 x$
102635	Find g(f(x))	f(x)=3x^2-8x , g(x)=x^2-8x+16	$f (x) = 3 x^{2} - 8 x$ , $g (x) = x^{2} - 8 x + 16$
102636	Solve by Substitution	5x+6y=5 , 10x+12y=10	$5 x + 6 y = 5$ , $10 x + 12 y = 10$
102637	Solve by Substitution	5x-y=5 , 5x-3y=15	$5 x - y = 5$ , $5 x - 3 y = 15$
102638	Solve by Substitution	4x-2y-z=-5 , x-3y+2z=3 , 3x+y-2z=-5	$4 x - 2 y - z = - 5$ , $x - 3 y + 2 z = 3$ , $3 x + y - 2 z = - 5$
102639	Find g(f(x))	f(x)=3x-4 , g(x)=(x+4)/3	$f (x) = 3 x - 4$ , $g (x) = \frac{x + 4}{3}$
102640	Solve by Substitution	4x+y=7 , y=3x	$4 x + y = 7$ , $y = 3 x$
102641	Solve by Substitution	4x+y=18 , y=2x	$4 x + y = 18$ , $y = 2 x$
102642	Find g(f(x))	f(x)=2/(x-9) g(x)=2/x+9	$f (x) = \frac{2}{x - 9}$ $g (x) = \frac{2}{x} + 9$
102643	Solve by Substitution	4x+5y=3 , 8x+10y=6	$4 x + 5 y = 3$ , $8 x + 10 y = 6$
102644	Find g(f(x))	f(x)=8/(x-3) , g(x)=1/x	$f (x) = \frac{8}{x - 3}$ , $g (x) = \frac{1}{x}$
102645	Solve by Substitution	4x+5y=2 , 8x+10y=4	$4 x + 5 y = 2$ , $8 x + 10 y = 4$
102646	Find g(f(x))	f(x) = square root of x g(x)=1/( square root of x) h(x)=x^2	$f (x) = \sqrt{x}$ $g (x) = \frac{1}{\sqrt{x}}$ $h (x) = x^{2}$
102647	Solve by Substitution	2x-y+z=-3 , 2x+2y+3z=2 , 3x-3y-z=-4	$2 x - y + z = - 3$ , $2 x + 2 y + 3 z = 2$ , $3 x - 3 y - z = - 4$
102648	Find g(f(x))	f(x)=x^2-25 , g(x)=2x+3	$f (x) = x^{2} - 25$ , $g (x) = 2 x + 3$
102649	Solve by Substitution	-2x-4y=1 , 12y=-6x-3	$- 2 x - 4 y = 1$ , $12 y = - 6 x - 3$
102650	Solve by Substitution	2x+y=8 , y=x-7	$2 x + y = 8$ , $y = x - 7$
102651	Solve by Substitution	3x-5y=17 , y=-7	$3 x - 5 y = 17$ , $y = - 7$
102652	Solve by Substitution	3x-4y=1 , -6x+8y=-2	$3 x - 4 y = 1$ , $- 6 x + 8 y = - 2$
102653	Find g(f(x))	f(x)=6/5x-7 , g(x)=(5x+35)/6	$f (x) = \frac{6}{5} x - 7$ , $g (x) = \frac{5 x + 35}{6}$
102654	Solve by Substitution	3x-2y=7 , x+3y=-5	$3 x - 2 y = 7$ , $x + 3 y = - 5$
102655	Solve by Substitution	3x-4y=-24 , x+y=-1	$3 x - 4 y = - 24$ , $x + y = - 1$
102656	Solve by Substitution	3y=-x+11 , x+4y=14	$3 y = - x + 11$ , $x + 4 y = 14$
102657	Find g(f(x))	f(x)=x^2-4 ; g(x)=2x+1	$f (x) = x^{2} - 4$ ; $g (x) = 2 x + 1$
102658	Simplify	( square root of 30)/( square root of 5)	$\frac{\sqrt{30}}{\sqrt{5}}$
102659	Solve by Substitution	3x-2y=5 , 4x-5y=58	$3 x - 2 y = 5$ , $4 x - 5 y = 58$
102660	Solve by Substitution	3x+y=10 , y=2x	$3 x + y = 10$ , $y = 2 x$
102661	Solve by Substitution	3x+4y=19 , 3x+6y=33	$3 x + 4 y = 19$ , $3 x + 6 y = 33$
102662	Find g(f(x))	f(x)=3x-15 g(x)=x/3+5	$f (x) = 3 x - 15$ $g (x) = \frac{x}{3} + 5$
102663	Find g(f(x))	f(x)=-3x-3 , g(x)=-3x^3-2	$f (x) = - 3 x - 3$ , $g (x) = - 3 x^{3} - 2$
102664	Find the Vertex	x^2-2x-24	$x^{2} - 2 x - 24$
102665	Find the Vertex	x^2-4x-21	$x^{2} - 4 x - 21$
102666	Find the Vertex	2x^2+4x-5	$2 x^{2} + 4 x - 5$
102667	Find g(f(x))	f(x)=x^3-4 , g(x) = cube root of x+4	$f (x) = x^{3} - 4$ , $g (x) = \sqrt[3]{x + 4}$
102668	Find the Vertex	2x^2+4x+3	$2 x^{2} + 4 x + 3$
102669	Find g(f(x))	f(x)=x^2+2x+1 ; g(x)=10x-14	$f (x) = x^{2} + 2 x + 1$ ; $g (x) = 10 x - 14$
102670	Find the Properties	h(x)=-3x^2	$h (x) = - 3 x^{2}$
102671	Find the Roots (Zeros)	H(z)=-5z+2	$H (z) = - 5 z + 2$
102672	Find the Vertex	x^2+3x-4	$x^{2} + 3 x - 4$
102673	Find g(f(x))	f(x)=x^2-10 ; g(x)=1/(x+1)	$f (x) = x^{2} - 10$ ; $g (x) = \frac{1}{x + 1}$
102674	Find g(f(x))	f(x)=2x+5 , g(x)=3x-6	$f (x) = 2 x + 5$ , $g (x) = 3 x - 6$
102675	Find the Vertex	f(x)=2x^2+4x-16	$f (x) = 2 x^{2} + 4 x - 16$
102676	Find g(f(x))	f(x)=3x^2+6x-4 g(x)=-3x+4	$f (x) = 3 x^{2} + 6 x - 4$ $g (x) = - 3 x + 4$
102677	Find the Vertex	f(x)=2x^2+6x	$f (x) = 2 x^{2} + 6 x$
102678	Find g(f(x))	f(x)=x^2-5 , g(x)=2x-3	$f (x) = x^{2} - 5$ , $g (x) = 2 x - 3$
102679	Solve for y	y-12=-10	$y - 12 = - 10$
102680	Find the Vertex	f(x)=-2(x+3)^2+2	$f (x) = - 2 {(x + 3)}^{2} + 2$
102681	Find the Vertex	F(x)=2x^2-7x-4	$F (x) = 2 x^{2} - 7 x - 4$
102682	Find the Vertex	f(x)=2x^2-7x+5	$f (x) = 2 x^{2} - 7 x + 5$
102683	Solve for x	square root of 5x^3-x^2+x-1=-3	$\sqrt{5 x^{3} - x^{2} + x - 1} = - 3$
102684	Find g(f(x))	f(x)=5x-1 , g(x)=x^2-2	$f (x) = 5 x - 1$ , $g (x) = x^{2} - 2$
102685	Multiply	(-5a^2)^3*a^5	${(- 5 a^{2})}^{3} \cdot a^{5}$
102686	Find the Vertex	f(x)=-2x^2-4x+6	$f (x) = - 2 x^{2} - 4 x + 6$
102687	Find f(g(x))	f(x)=x^2 , g(x)=4x-3	$f (x) = x^{2}$ , $g (x) = 4 x - 3$
102688	Find f(g(x))	f(x)=(x-1)/x g(x)=x/(x+2)	$f (x) = \frac{x - 1}{x}$ $g (x) = \frac{x}{x + 2}$
102689	Find f(g(x))	f(x)=5x^2-4x , g(x)=5x+1	$f (x) = 5 x^{2} - 4 x$ , $g (x) = 5 x + 1$
102690	Find the Vertex	f(x)=x^2-6x-4	$f (x) = x^{2} - 6 x - 4$
102691	Simplify	square root of 20x^3	$\sqrt{20 x^{3}}$
102692	Find f(g(x))	f(x)=3x-1 , g(x)=4x^2	$f (x) = 3 x - 1$ , $g (x) = 4 x^{2}$
102693	Find the Vertex	f(x)=x^2-16	$f (x) = x^{2} - 16$
102694	Solve by Substitution	x+y=k , x-y=k	$x + y = k$ , $x - y = k$
102695	Write with Rational (Fractional) Exponents	( cube root of 6x)^4	${(\sqrt[3]{6 x})}^{4}$
102696	Find the Vertex	f(x)=x^2-4x+9	$f (x) = x^{2} - 4 x + 9$
102697	Factor	4r^2-64	$4 r^{2} - 64$
102698	Find f(g(x))	f(x)=-2x+12 , g(x)=-1/2x-12	$f (x) = - 2 x + 12$ , $g (x) = - \frac{1}{2} x - 12$
102699	Find the Vertex	f(x)=x^2-11x	$f (x) = x^{2} - 11 x$
102700	Find the Vertex	f(x)=x^2+10x+13	$f (x) = x^{2} + 10 x + 13$