Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
180401	Find f(g(x))	f(x)=3/x g(x)=3/x	$f (x) = \frac{3}{x}$ $g (x) = \frac{3}{x}$
180402	Graph	y>=1-x	$y \geq 1 - x$
180403	Find the First Term	a_n=(-2)^(n-1)	$a_{n} = {(- 2)}^{n - 1}$
180404	Solve for θ	1-sin(theta)=1/2	$1 - \sin (θ) = \frac{1}{2}$
180405	Solve the Inequality for m	3(2m-1)<=4m+7	$3 (2 m - 1) \leq 4 m + 7$
180406	Simplify	(xy^3)*(xy)^4	$(x y^{3}) \cdot {(x y)}^{4}$
180407	Evaluate	5^2+12^2=13^2	$5^{2} + 12^{2} = 13^{2}$
180408	Graph	3x+9<=30	$3 x + 9 \leq 30$
180409	Simplify	(csc(theta)+sec(theta))(sin(theta)-cos(theta))	$(\csc (θ) + \sec (θ)) (\sin (θ) - \cos (θ))$
180410	Find the Function	h(x)=2x	$h (x) = 2 x$
180411	Evaluate	2/3xy^2+2x-1/3xy^2+2/3x^2y-5x	$\frac{2}{3} x y^{2} + 2 x - \frac{1}{3} x y^{2} + \frac{2}{3} x^{2} y - 5 x$
180412	Simplify	(36x^2)/(64x^2y)	$\frac{36 x^{2}}{64 x^{2} y}$
180413	Solve the System of Equations	4x^2+9y^2=72 x-y^2=-1	$4 x^{2} + 9 y^{2} = 72$ $x - y^{2} = - 1$
180414	Convert to Interval Notation	g+7/4<=1	$g + \frac{7}{4} \leq 1$
180415	Graph	F(x)=x^3-3x^2-4x+12	$F (x) = x^{3} - 3 x^{2} - 4 x + 12$
180416	Find the Inverse	f(x)=(x^(1/4))/5	$f (x) = \frac{x^{\frac{1}{4}}}{5}$
180417	Evaluate	-n+(-4)-(-4n)+6	$- n + (- 4) - (- 4 n) + 6$
180418	Divide	(9/4)÷(3/2)	$\frac{9}{4} \div \frac{3}{2}$
180419	Solve the Inequality for x	x^2-2x+9<=0	$x^{2} - 2 x + 9 \leq 0$
180420	Simplify	i square root of -45	$i \sqrt{- 45}$
180421	Solve for c	5(2c+7)-3c=7(c+5)	$5 (2 c + 7) - 3 c = 7 (c + 5)$
180422	Solve for x	12-5(x+3)=6x-5	$12 - 5 (x + 3) = 6 x - 5$
180423	Evaluate	-5+(-5r)+10	$- 5 + (- 5 r) + 10$
180424	Graph	-1<x<=4	$- 1 < x \leq 4$
180425	Solve the Inequality for x	-5x<10	$- 5 x < 10$
180426	Divide	2 1/2÷(1/8)	$2 \frac{1}{2} \div \frac{1}{8}$
180427	Simplify	(5h^3-8h)+(-2h^3-h^2-2h)	$(5 h^{3} - 8 h) + (- 2 h^{3} - h^{2} - 2 h)$
180428	Find the Domain and Range	f(4)	$f (4)$
180429	Find the Product	(x-3)(x-1)	$(x - 3) (x - 1)$
180430	Simplify	(3b+1)(3b-1)-(b+12)	$(3 b + 1) (3 b - 1) - (b + 12)$
180431	Find All Complex Solutions	\|x\|=4	$\| x \| = 4$
180432	Simplify	square root of 7* square root of -14	$\sqrt{7} \cdot \sqrt{- 14}$
180433	Simplify	2/(- square root of 3)	$\frac{2}{- \sqrt{3}}$
180434	Simplify	(5^2*5^9)/5	$\frac{5^{2} \cdot 5^{9}}{5}$
180435	Solve for x	2x = square root of -9x+27-3	$2 x = \sqrt{- 9 x + 27} - 3$
180436	Graph	x-1>=0	$x - 1 \geq 0$
180437	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+5x+7=0	$x^{2} + 5 x + 7 = 0$
180438	Evaluate	square root of x+11=15	$\sqrt{x} + 11 = 15$
180439	Solve the Inequality for x	(x-4)^2>0	${(x - 4)}^{2} > 0$
180440	Convert to Scientific Notation	(8.110^-2)/(9.010^2)	$\frac{8.1 \times 10^{- 2}}{9 \times 10^{2}}$
180441	Simplify	(6x)/(x^2-9)+x/(x+3)	$\frac{6 x}{x^{2} - 9} + \frac{x}{x + 3}$
180442	Solve for x	x+9<4x	$x + 9 < 4 x$
180443	Solve the Inequality for x	-8(x-1)-x<=-28	$- 8 (x - 1) - x \leq - 28$
180444	Evaluate	(4!5!)/(2!7!)	$\frac{4! 5!}{2! 7!}$
180445	Find the Domain and Range	y=-\|x\|+2	$y = - \| x \| + 2$
180446	Simplify	(1-9w^2)/(12w-4)	$\frac{1 - 9 w^{2}}{12 w - 4}$
180447	Solve for a	(x^(1/5))/( square root of x)=x^a	$\frac{x^{\frac{1}{5}}}{\sqrt{x}} = x^{a}$
180448	Factor	2x(a-1)-y(a-1)	$2 x (a - 1) - y (a - 1)$
180449	Solve for x	3x-2x+4=5x-4x-8	$3 x - 2 x + 4 = 5 x - 4 x - 8$
180450	Divide	((2x^2+4x+2)/(x+1))÷(2/x)	$\frac{2 x^{2} + 4 x + 2}{x + 1} \div \frac{2}{x}$
180451	Evaluate the Function	f(pi)=e^x	$f (π) = e^{x}$
180452	Convert to Interval Notation	\|x-6\|+7>=-1	$\| x - 6 \| + 7 \geq - 1$
180453	Solve the Inequality for n	100^n=2	$100^{n} = 2$
180454	Solve the Inequality for x	x/(x+6)>0	$\frac{x}{x + 6} > 0$
180455	Multiply	2(2)^2	$2 {(2)}^{2}$
180456	Simplify	( square root of x- square root of x+h)/(h square root of x square root of x+h)	$\frac{\sqrt{x} - \sqrt{x + h}}{h \sqrt{x} \sqrt{x + h}}$
180457	Factor	3x(x-1)-2y(x-1)+z(x-1)	$3 x (x - 1) - 2 y (x - 1) + z (x - 1)$
180458	Solve the Inequality for x	9(x-3)<4(x+10)	$9 (x - 3) < 4 (x + 10)$
180459	Solve for x	(6x)/(x-3)-2/(x^2-3x)=1/(x-3)	$\frac{6 x}{x - 3} - \frac{2}{x^{2} - 3 x} = \frac{1}{x - 3}$
180460	Solve for x	square root of 9x-11-1=x	$\sqrt{9 x - 11} - 1 = x$
180461	Solve the Inequality for x	5x+2<x-3<4x-5	$5 x + 2 < x - 3 < 4 x - 5$
180462	Simplify the Radical Expression	fourth root of x^4y^8	$\sqrt[4]{x^{4} y^{8}}$
180463	Solve for y	y/(5y-10)-5/(3y+6)=(2y^2-19y+54)/(15y^2-60)	$\frac{y}{5 y - 10} - \frac{5}{3 y + 6} = \frac{2 y^{2} - 19 y + 54}{15 y^{2} - 60}$
180464	Simplify	(1/n)^(-2/3)	${(\frac{1}{n})}^{\frac{- 2}{3}}$
180465	Subtract	(a^3-2a+5)-(4a^3-5a^2+a-2)	$(a^{3} - 2 a + 5) - (4 a^{3} - 5 a^{2} + a - 2)$
180466	Find the Domain and Range	y=-x^(1/2)+5	$y = - x^{\frac{1}{2}} + 5$
180467	Solve the System of Equations	y=7x y=3x	$y = 7 x$ $y = 3 x$
180468	Solve the Inequality for x	-4x-1>=-21	$- 4 x - 1 \geq - 21$
180469	Graph	x+y<=5 x-y<=6	$x + y \leq 5$ $x - y \leq 6$
180470	Simplify	-6+1/4x+3(1/4x+6)	$- 6 + \frac{1}{4} x + 3 (\frac{1}{4} x + 6)$
180471	Evaluate	e^(-3(-pi))	$e^{- 3 (- π)}$
180472	Find the Midpoint	(9,4) and (3,7)	$(9, 4)$ and $(3, 7)$
180473	Find the Exact Value	f^-1(0)	$f^{- 1} (0)$
180474	Write in Standard Form	y=-3(x-1)^2+3	$y = - 3 {(x - 1)}^{2} + 3$
180475	Evaluate	1/(0^2-9)	$\frac{1}{0^{2} - 9}$
180476	Solve for x	2(2x-1)+10=9(1+x)-5x	$2 (2 x - 1) + 10 = 9 (1 + x) - 5 x$
180477	Solve the Inequality for x	100+55x>150+51x	$100 + 55 x > 150 + 51 x$
180478	Solve for p	-2\|2p-3\|-1=-11	$- 2 \| 2 p - 3 \| - 1 = - 11$
180479	Solve Using the Quadratic Formula	f(x)=x^2-10x+9	$f (x) = x^{2} - 10 x + 9$
180480	Solve the Inequality for p	32>=-16p	$32 \geq - 16 p$
180481	Graph	x=9/x	$x = \frac{9}{x}$
180482	Evaluate	(333333)/(3333)	$\frac{3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3}{3 \cdot 3 \cdot 3 \cdot 3}$
180483	Solve for x	5/(x-2)-3/(x+2)=20/(x^2-4)	$\frac{5}{x - 2} - \frac{3}{x + 2} = \frac{20}{x^{2} - 4}$
180484	Solve for v	\|v\|=9	$\| v \| = 9$
180485	Find All Complex Solutions	-4x+5=-4x-5	$- 4 x + 5 = - 4 x - 5$
180486	Evaluate	2cos(x)-1=0	$2 \cos (x) - 1 = 0$
180487	Simplify	8 fourth root of 48-5 square root of 90+9 fourth root of 3	$8 \sqrt[4]{48} - 5 \sqrt{90} + 9 \sqrt[4]{3}$
180488	Graph	f(x)=x^4-2x	$f (x) = x^{4} - 2 x$
180489	Solve the Inequality for x	square root of 6-x<x	$\sqrt{6 - x} < x$
180490	Solve the Absolute Value Inequality for m	\|m\|+2=11	$\| m \| + 2 = 11$
180491	Simplify	((a^3*a)÷(a^2))^-1	${(a^{3} \cdot a \div a^{2})}^{- 1}$
180492	Simplify/Condense	(sin(t))/(sec(t)-cos(t))	$\frac{\sin (t)}{\sec (t) - \cos (t)}$
180493	Find the x and y Intercepts	f(x)=(3x+30)/(25x^2-49)	$f (x) = \frac{3 x + 30}{25 x^{2} - 49}$
180494	Solve Using the Quadratic Formula	x^3-64	$x^{3} - 64$
180495	Write in Standard Form	-11-3x=-3x^2-4	$- 11 - 3 x = - 3 x^{2} - 4$
180496	Solve for r	x=5/3pir^3 for r	$x = \frac{5}{3} π r^{3}$ for $r$
180497	Factor	4x^2-12x=0	$4 x^{2} - 12 x = 0$
180498	Solve the Inequality for x	x^2-4>=1	$x^{2} - 4 \geq 1$
180499	Simplify	(x^2+3x-4)+(2x^3-2x+5)	$(x^{2} + 3 x - 4) + (2 x^{3} - 2 x + 5)$
180500	Evaluate	f^-1(f(x))	$f^{- 1} (f (x))$