Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
188301	Find the Parabola with Vertex (-2,4) and Focus (-4,4)	(-2,4) , (-4,4)	$(- 2, 4)$ , $(- 4, 4)$
188302	Simplify	(9r^2+4r-7)+(3r^2-3r)	$(9 r^{2} + 4 r - 7) + (3 r^{2} - 3 r)$
188303	Simplify	-(4x^3+x^2)+2(x^3-3x^2)	$- (4 x^{3} + x^{2}) + 2 (x^{3} - 3 x^{2})$
188304	Solve for x	(-4x-8)/2-14=3x-10-x	$\frac{- 4 x - 8}{2} - 14 = 3 x - 10 - x$
188305	Find the Domain and Range	y=-2\|x+4\|-1	$y = - 2 \| x + 4 \| - 1$
188306	Graph	\|x+2\|>=1	$\| x + 2 \| \geq 1$
188307	Solve for θ	1+tan(theta)^2=sec(theta)^2	$1 + \tan^{2} (θ) = \sec^{2} (θ)$
188308	Evaluate	\|1/2(7+5^3)\|	$\| \frac{1}{2} (7 + 5^{3}) \|$
188309	Solve for x	3(x+1)+11<-2(x+13)	$3 (x + 1) + 11 < - 2 (x + 13)$
188310	Simplify	((3x)/(5y))((y^2)/(6x))	$(\frac{3 x}{5 y}) (\frac{y^{2}}{6 x})$
188311	Write in Standard Form	y=mx-7	$y = m x - 7$
188312	Solve the System of Inequalities	12x+7<-11 ; AND , 5x-8>=40	$12 x + 7 < - 11$ ; AND , $5 x - 8 \geq 40$
188313	Simplify the Radical Expression	(4x)^(1/2)	${(4 x)}^{\frac{1}{2}}$
188314	Graph	f(x)=1/2(x+2)^2	$f (x) = \frac{1}{2} {(x + 2)}^{2}$
188315	Solve for x	1.5(2-4x)=6x	$1.5 (2 - 4 x) = 6 x$
188316	Solve for v	Ec=1/2mv^2	$E c = \frac{1}{2} m v^{2}$
188317	Solve for a	(5/3)^a=125/9	${(\frac{5}{3})}^{a} = \frac{125}{9}$
188318	Solve for x	(2x+7)/(x+2)+7/(x-2)=(3x+1)/(x-2)	$\frac{2 x + 7}{x + 2} + \frac{7}{x - 2} = \frac{3 x + 1}{x - 2}$
188319	Find the Exact Value	3÷2	$3 \div 2$
188320	Solve for x	3 = cube root of x^2+3x-1	$3 = \sqrt[3]{x^{2} + 3 x - 1}$
188321	Graph	-4<=3x-1 and 2x+4<=18	$- 4 \leq 3 x - 1$ and $2 x + 4 \leq 18$
188322	Simplify	(5/x-x/5)/(x/25+1/5)	$\frac{\frac{5}{x} - \frac{x}{5}}{\frac{x}{25} + \frac{1}{5}}$
188323	Graph	xy-2x-2y+2=0	$x y - 2 x - 2 y + 2 = 0$
188324	Solve for m	8/(m-9)=6/(m-8)	$\frac{8}{m - 9} = \frac{6}{m - 8}$
188325	Find the End Behavior	f(x)=-600x-20x^2+70x^3-720+10x^4	$f (x) = - 600 x - 20 x^{2} + 70 x^{3} - 720 + 10 x^{4}$
188326	Graph	(-2,-pi/3)	$(- 2, - \frac{π}{3})$
188327	Find the Exact Value	csc(-360 degrees )	$\csc (- 360 °)$
188328	Simplify	6(2(y+x))	$6 (2 (y + x))$
188329	Factor	R(x)=(x^2)/(x^2-x-12)	$R (x) = \frac{x^{2}}{x^{2} - x - 12}$
188330	Solve the Inequality for x	x+2>=6	$x + 2 \geq 6$
188331	Simplify	(8x^3-y^3)/(4x^2-y^2)	$\frac{8 x^{3} - y^{3}}{4 x^{2} - y^{2}}$
188332	Solve for x	f(x)=3x-2	$f (x) = 3 x - 2$
188333	Solve for x	-2x^6+9x^5+8x^4-36x^3=0	$- 2 x^{6} + 9 x^{5} + 8 x^{4} - 36 x^{3} = 0$
188334	Solve the Inequality for x	(3x)/4-2x<0	$\frac{3 x}{4} - 2 x < 0$
188335	Solve the Inequality for x	x^2+3>y	$x^{2} + 3 > y$
188336	Solve for x	10x-8+3x-7+x=20x-10-6x	$10 x - 8 + 3 x - 7 + x = 20 x - 10 - 6 x$
188337	Solve for x	(1/8)^(4x-3)=32^(2x+5)	${(\frac{1}{8})}^{4 x - 3} = 32^{2 x + 5}$
188338	Evaluate	(f-g)(4)	$(f - g) (4)$
188339	Find the Degree	5pq^2-3p^6+5p^6q^3-6p^3q^5	$5 p q^{2} - 3 p^{6} + 5 p^{6} q^{3} - 6 p^{3} q^{5}$
188340	Solve for r	3(7r-7)=-6+6r	$3 (7 r - 7) = - 6 + 6 r$
188341	Solve for x	x^5+17=35	$x^{5} + 17 = 35$
188342	Solve for x	1=x^2-3x	$1 = x^{2} - 3 x$
188343	Find the Exact Value	1/(-1/2)	$\frac{1}{- \frac{1}{2}}$
188344	Solve the System of Inequalities	-2x+1>=-5 and 2x+1>3	$- 2 x + 1 \geq - 5$ and $2 x + 1 > 3$
188345	Graph	f(x)=-x^5+x^2-x	$f (x) = - x^{5} + x^{2} - x$
188346	Simplify	limit as x approaches 9 of ( square root of x-3)/(x-9)	$lim_{x \to 9} \frac{\sqrt{x} - 3}{x - 9}$
188347	Find the x and y Intercepts	1/(x^2-3)=y+1	$\frac{1}{x^{2} - 3} = y + 1$
188348	Simplify	(x+y)/(x-y)+1/(x+y)-(x^2+y^2)/(x^2-y^2)	$\frac{x + y}{x - y} + \frac{1}{x + y} - \frac{x^{2} + y^{2}}{x^{2} - y^{2}}$
188349	Find the x and y Intercepts	f(x) = square root of x+2	$f (x) = \sqrt{x} + 2$
188350	Find the Roots (Zeros)	f(x)=(x^2+x-6)/(x^2+x-20)	$f (x) = \frac{x^{2} + x - 6}{x^{2} + x - 20}$
188351	Simplify	(1+1/(11-b))/(1-1/(11+b))	$\frac{1 + \frac{1}{11 - b}}{1 - \frac{1}{11 + b}}$
188352	Simplify	(x^3-1)/(x^2-1)-(x+1)	$\frac{x^{3} - 1}{x^{2} - 1} - (x + 1)$
188353	Graph	p(x)=(x+1)^2(2x+5)(x-3)	$p (x) = {(x + 1)}^{2} (2 x + 5) (x - 3)$
188354	Simplify	(6b)/7-(3b)/5	$\frac{6 b}{7} - \frac{3 b}{5}$
188355	Solve for x	-489=-8(7x-1)+7	$- 489 = - 8 (7 x - 1) + 7$
188356	Rationalize the Denominator	( square root of 5)/(2 square root of 3)	$\frac{\sqrt{5}}{2 \sqrt{3}}$
188357	Solve for x	25(x+6)^2=4	$25 {(x + 6)}^{2} = 4$
188358	Simplify	(-35-30s+45t)*(-1)	$(- 35 - 30 s + 45 t) \times (- 1)$
188359	Graph	f(x)=-4 if x<-1; x-5 if x>4	$f (x) = {\begin{cases} - 4 & x < - 1 \\ x - 5 & x > 4 \end{cases}$
188360	Simplify	(4x^-2(yz)^-1)/(2^3x^4y)	$\frac{4 x^{- 2} {(y z)}^{- 1}}{2^{3} x^{4} y}$
188361	Solve the Absolute Value Inequality for x	3\|x-4\|-2>22	$3 \| x - 4 \| - 2 > 22$
188362	Simplify	1/2 square root of 2+ square root of 3	$\frac{1}{2} \sqrt{2 + \sqrt{3}}$
188363	Simplify	((x^6y^3)^(-1/3))/((x^4y^2)^(-1/2))	$\frac{{(x^{6} y^{3})}^{- \frac{1}{3}}}{{(x^{4} y^{2})}^{- \frac{1}{2}}}$
188364	Graph	f(x)=5^x and g(x)=5^(-x)	$f (x) = 5^{x}$ and $g (x) = 5^{- x}$
188365	Solve the System of Inequalities	11x-9>13 or -4x-4>8	$11 x - 9 > 13$ or $- 4 x - 4 > 8$
188366	Solve for y	3y-(y-19)=2y	$3 y - (y - 19) = 2 y$
188367	Solve for a	(x^3)/( sixth root of x)=x^a	$\frac{x^{3}}{\sqrt[6]{x}} = x^{a}$
188368	Solve the Inequality for x	-x<1/2(4x-10)-7	$- x < \frac{1}{2} (4 x - 10) - 7$
188369	Find the Quotient	(3x^4-4x^2+8x-1)÷(x-2) ?	$(3 x^{4} - 4 x^{2} + 8 x - 1) \div (x - 2)$ ?
188370	Solve for x	y=(x-y)/b	$y = \frac{x - y}{b}$
188371	Find g(f(x))	f(x)=5x-4 and g(x)=2x^2-3	$f (x) = 5 x - 4$ and $g (x) = 2 x^{2} - 3$
188372	Complete the Square	g(x)=x^2-x-6	$g (x) = x^{2} - x - 6$
188373	Simplify	square root of 175ab^9c^4	$\sqrt{175 a b^{9} c^{4}}$
188374	Graph	y<x+3 y<=-3x-5	$y < x + 3$ $y \leq - 3 x - 5$
188375	Solve for L	A=LWH for L	$A = L W H$ for $L$
188376	Divide Using Synthetic Division	(x^2+x-20)÷(x-4)	$(x^{2} + x - 20) \div (x - 4)$
188377	Solve for v	cube root of v=5	$\sqrt[3]{v} = 5$
188378	Solve the Inequality for x	14x-6<24-4x	$14 x - 6 < 24 - 4 x$
188379	Solve the System of Inequalities	5x-29>-34 ; or , 2x+31<29	$5 x - 29 > - 34$ ; or , $2 x + 31 < 29$
188380	Solve for g	27g-26g-g+8g+10g=18	$27 g - 26 g - g + 8 g + 10 g = 18$
188381	Multiply	1/3*2/1	$\frac{1}{3} \cdot \frac{2}{1}$
188382	Simplify	(5x-1)/(6x^2+13x-5)-(5x-1)/(12x^2-x-1)	$\frac{5 x - 1}{6 x^{2} + 13 x - 5} - \frac{5 x - 1}{12 x^{2} - x - 1}$
188383	Solve for x	2/3+x=3	$\frac{2}{3} + x = 3$
188384	Simplify	(a^2a^3(a^-1))^2	${(a^{2} \cdot a^{3} \cdot (a^{- 1}))}^{2}$
188385	Simplify	-2 1/3-(-5)	$- 2 \frac{1}{3} - (- 5)$
188386	Graph	(3,pi)	$(3, π)$
188387	Evaluate	1/3(-4)^2-4	$\frac{1}{3} {(- 4)}^{2} - 4$
188388	Solve the System of Equations	y=x^2-4x+3 y=2x-2	$y = x^{2} - 4 x + 3$ $y = 2 x - 2$
188389	Solve the Inequality for a	-2<=4-3a<=13	$- 2 \leq 4 - 3 a \leq 13$
188390	Evaluate	1/(-2^2)	$\frac{1}{- 2^{2}}$
188391	Evaluate	(4^3*(0.6+3.6))÷0.3	$4^{3} \times (0.6 + 3.6) \div 0.3$
188392	Find the x and y Intercepts	2x+y-8=0	$2 x + y - 8 = 0$
188393	Multiply	(x-y)(x^2+2xy+y^2)	$(x - y) (x^{2} + 2 x y + y^{2})$
188394	Solve for y	\|y+4\|<1	$\| y + 4 \| < 1$
188395	Simplify	5/4+4(3/4-1/2)^2	$\frac{5}{4} + 4 {(\frac{3}{4} - \frac{1}{2})}^{2}$
188396	Simplify	(-4x)/11(121x+22)	$\frac{- 4 x}{11} (121 x + 22)$
188397	Evaluate	6a+5a=-11	$6 a + 5 a = - 11$
188398	Find g(f(x))	f(x)=x^2+6x+7 g(x)=x+2	$f (x) = x^{2} + 6 x + 7$ $g (x) = x + 2$
188399	Graph	3x-2y>=-6 x-1<0	$3 x - 2 y \geq - 6$ $x - 1 < 0$
188400	Evaluate Using the Given Value	(z^3-4z^2+2z)/(z^2-5z+6) , z=-3	$\frac{z^{3} - 4 z^{2} + 2 z}{z^{2} - 5 z + 6}$ , $z = - 3$