Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
192701	Graph	y=x-3 y=-3/5x+5	$y = x - 3$ $y = - \frac{3}{5} x + 5$
192702	Simplify	(x+2)-(x^2-4)	$(x + 2) - (x^{2} - 4)$
192703	Solve the Inequality for g	g-28<=1	$g - 28 \leq 1$
192704	Graph	y=-1/2(x+2)^2	$y = - \frac{1}{2} {(x + 2)}^{2}$
192705	Graph	f(x)=x-1 if -2<=x<0; 1 if x=0; 3 if 0<x<=2	$f (x) = {\begin{cases} x - 1 & - 2 \leq x < 0 \\ 1 & x = 0 \\ 3 & 0 < x \leq 2 \end{cases}$
192706	Find the x and y Intercepts	f(x)=(x^2-18x+81)/(x^2-9x)	$f (x) = \frac{x^{2} - 18 x + 81}{x^{2} - 9 x}$
192707	Solve for h	m=2ha+2ht	$m = 2 h a + 2 h t$
192708	Solve by Addition/Elimination	-5/7-11/7x=-y 2y=7+5x	$- \frac{5}{7} - \frac{11}{7} x = - y$ $2 y = 7 + 5 x$
192709	Convert to Interval Notation	2x^2+x-6<=0	$2 x^{2} + x - 6 \leq 0$
192710	Solve for x	(-x)/15=4/(-15x)	$\frac{- x}{15} = \frac{4}{- 15 x}$
192711	Multiply	1/21/21/21/21/21/21/21/21/2	$\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$
192712	Solve for x	(3x-21)^(1/3)=(19-x)^(1/3)	${(3 x - 21)}^{\frac{1}{3}} = {(19 - x)}^{\frac{1}{3}}$
192713	Graph	y=x^2+3,x>4; x+4,x<=4	$y = {\begin{cases} x^{2} + 3, x > 4 \\ x + 4, x \leq 4 \end{cases}$
192714	Evaluate Using the Given Value	6q+m-m ; use m=8 ; and q=3	$6 q + m - m$ ; use $m = 8$ ; and $q = 3$
192715	Solve for z	8z+7<3z-4	$8 z + 7 < 3 z - 4$
192716	Find the x and y Intercepts	f(x)=[x]	$f (x) = [x]$
192717	Evaluate	1/3*pi	$\frac{1}{3} \cdot π$
192718	Write the Fraction in Simplest Form	(7p-7p)/p*(2p^2)/(8p-8)	$\frac{7 p - 7 p}{p} \cdot \frac{2 p^{2}}{8 p - 8}$
192719	Find the Inverse	y = square root of 1-x^3	$y = \sqrt{1 - x^{3}}$
192720	Solve the Inequality for x	3x^2+6x-45<=0	$3 x^{2} + 6 x - 45 \leq 0$
192721	Graph	cos(theta)>0 , cot(theta)<0	$\cos (θ) > 0$ , $\cot (θ) < 0$
192722	Solve for x	5/4x-3/2(5x+5)=-(8x+3/2)	$\frac{5}{4} x - \frac{3}{2} (5 x + 5) = - (8 x + \frac{3}{2})$
192723	Graph	h(x)=-f(1/2(x+1))+2	$h (x) = - f (\frac{1}{2} (x + 1)) + 2$
192724	Solve for x	7/5x=1/2(6x-4)-3/2x	$\frac{7}{5} x = \frac{1}{2} (6 x - 4) - \frac{3}{2} x$
192725	Subtract	2/(x^2-49)-7/(x-7)	$\frac{2}{x^{2} - 49} - \frac{7}{x - 7}$
192726	Identify the Zeros and Their Multiplicities	f(x)=(x+3)(x+1)^2(x-1)	$f (x) = (x + 3) {(x + 1)}^{2} (x - 1)$
192727	Solve the System of Equations	1/5x-1/4y=-6 -3/4x+1/2y=-2	$\frac{1}{5} x - \frac{1}{4} y = - 6$ $- \frac{3}{4} x + \frac{1}{2} y = - 2$
192728	Simplify	1/( square root of x^5)	$\frac{1}{\sqrt{x^{5}}}$
192729	Find the End Behavior	f(x)=36x^2+210x+392+2x^3	$f (x) = 36 x^{2} + 210 x + 392 + 2 x^{3}$
192730	Simplify the Radical Expression	x square root of x^5	$x \sqrt{x^{5}}$
192731	Find the Exact Value	limit as x approaches pi/4 of (cos(2x))/(sin(x)-cos(x))	$lim_{x \to \frac{π}{4}} \frac{\cos (2 x)}{\sin (x) - \cos (x)}$
192732	Solve for x	2x(x^2-49)(100x^2-81)=0	$2 x (x^{2} - 49) (100 x^{2} - 81) = 0$
192733	Evaluate	x+2=5	$x + 2 = 5$
192734	Solve for k	k/4=-17/2	$\frac{k}{4} = - \frac{17}{2}$
192735	Solve for x	\|3-x\|>=2	$\| 3 - x \| \geq 2$
192736	Simplify	((6x^2-6)/(8x^2+8x))/((3-3x)/(4x^2+4x))	$\frac{\frac{6 x^{2} - 6}{8 x^{2} + 8 x}}{\frac{3 - 3 x}{4 x^{2} + 4 x}}$
192737	Evaluate	(2(3+5)+6)4	$(2 \times (3 + 5) + 6) \times 4$
192738	Subtract	5/8-(-7/8)	$\frac{5}{8} - (- \frac{7}{8})$
192739	Solve the System of Equations	y-x=4 y=(x^2+2x-8)/4	$y - x = 4$ $y = \frac{x^{2} + 2 x - 8}{4}$
192740	Convert to Interval Notation	x+1>=3 or 4/3x<-8	$x + 1 \geq 3$ or $\frac{4}{3} x < - 8$
192741	Subtract	3/(x^2-49)-9/(x^2-14x+49)	$\frac{3}{x^{2} - 49} - \frac{9}{x^{2} - 14 x + 49}$
192742	Subtract	9/4-9/2	$\frac{9}{4} - \frac{9}{2}$
192743	Solve for r	P=r+s-5	$P = r + s - 5$
192744	Find the Domain and Range	f(x)=1/x+5/(x-3)	$f (x) = \frac{1}{x} + \frac{5}{x - 3}$
192745	Find the Roots (Zeros)	2x^3+x^2-7x-6=0	$2 x^{3} + x^{2} - 7 x - 6 = 0$
192746	Simplify	-2+8x-3-X	$- 2 + 8 x - 3 - X$
192747	Evaluate	cube root of 2-1	$\sqrt[3]{2 - 1}$
192748	Solve by Completing the Square	-6x^2-586=84x-4	$- 6 x^{2} - 586 = 84 x - 4$
192749	Find the Degree	(x-2)(x+2)(x-4)=0	$(x - 2) (x + 2) (x - 4) = 0$
192750	Simplify	(-5a^2b)(2ab^2c)(-3b)	$(- 5 a^{2} b) (2 a b^{2} c) (- 3 b)$
192751	Solve for y	4/y-5=5/(2y)	$\frac{4}{y} - 5 = \frac{5}{2 y}$
192752	Solve the System of Equations	-2x-3y+z=-6 x+y-z=5 7x+8y-6z=31	$- 2 x - 3 y + z = - 6$ $x + y - z = 5$ $7 x + 8 y - 6 z = 31$
192753	Solve for x	square root of 4x-13=5	$\sqrt{4 x} - 13 = 5$
192754	Solve Using the Quadratic Formula	x^2-bx+100	$x^{2} - b x + 100$
192755	Graph	x-4>=-1	$x - 4 \geq - 1$
192756	Write in Standard Form	(x-3)(x-2)^2=0	$(x - 3) {(x - 2)}^{2} = 0$
192757	Graph	\|2x+3\|>=19	$\| 2 x + 3 \| \geq 19$
192758	Solve for m	5(1+2m)=12(8+20m)	$5 (1 + 2 m) = 12 (8 + 20 m)$
192759	Simplify	(-2x^2+x-2)(x^2-5x+4)	$(- 2 x^{2} + x - 2) (x^{2} - 5 x + 4)$
192760	Simplify	(5 cube root of x)(2 fourth root of x)	$(5 \sqrt[3]{x}) (2 \sqrt[4]{x})$
192761	Simplify	-7/8+(-1/2)	$- \frac{7}{8} + (- \frac{1}{2})$
192762	Solve for x	square root of 1-x< square root of 2x+6	$\sqrt{1 - x} < \sqrt{2 x + 6}$
192763	Solve for x	square root of x+12+2 = square root of 3x-8	$\sqrt{x + 12} + 2 = \sqrt{3 x - 8}$
192764	Simplify	((pq)/(p^2-q^2)+q/(q-p))÷(p-q+(4q^2-p^2)/(p+q))	$(\frac{p q}{p^{2} - q^{2}} + \frac{q}{q - p}) \div (p - q + \frac{4 q^{2} - p^{2}}{p + q})$
192765	Evaluate	(g(x+h)-g(x))/h	$\frac{g (x + h) - g (x)}{h}$
192766	Write in Standard Form	(-3 square root of -81)(-5+ square root of -9)+9i	$(- 3 \sqrt{- 81}) (- 5 + \sqrt{- 9}) + 9 i$
192767	Solve for x	7/(x-4)+(x+2)/(x+1)=5/(x^2-3x-4)	$\frac{7}{x - 4} + \frac{x + 2}{x + 1} = \frac{5}{x^{2} - 3 x - 4}$
192768	Solve for a	((x^5)^(1/4))/( fourth root of x)=x^a	$\frac{{(x^{5})}^{\frac{1}{4}}}{\sqrt[4]{x}} = x^{a}$
192769	Simplify	(3x^3+5x^2)/(12x^2+20x)	$\frac{3 x^{3} + 5 x^{2}}{12 x^{2} + 20 x}$
192770	Convert to Interval Notation	9y+5(y+3)<4y-35	$9 y + 5 (y + 3) < 4 y - 35$
192771	Subtract	(4x^3-3x^2+5)-(x^3+2x^2+x)	$(4 x^{3} - 3 x^{2} + 5) - (x^{3} + 2 x^{2} + x)$
192772	Graph	(-1,1/2)	$(- 1, \frac{1}{2})$
192773	Find the End Behavior	f(x)=-3/4x(3x-2)(2x+7)(x+5)(x-1)	$f (x) = - \frac{3}{4} x (3 x - 2) (2 x + 7) (x + 5) (x - 1)$
192774	Graph	f(x)=\|4-x\|	$f (x) = \| 4 - x \|$
192775	Simplify	-(2x)/(a^-4)	$- \frac{2 x}{a^{- 4}}$
192776	Simplify	((x^2)/2-2)/((x+7)/10+1/x)	$\frac{\frac{x^{2}}{2} - 2}{\frac{x + 7}{10} + \frac{1}{x}}$
192777	Simplify	6/(y^2-xy)-6/(x^2-xy)	$\frac{6}{y^{2} - x y} - \frac{6}{x^{2} - x y}$
192778	Combine Like Terms	(-4x^2+x)-(-8x^2-2x+6)	$(- 4 x^{2} + x) - (- 8 x^{2} - 2 x + 6)$
192779	Evaluate	(-2x^2-4x+2)-(-6x+2)	$(- 2 x^{2} - 4 x + 2) - (- 6 x + 2)$
192780	Evaluate	(x+y)(x+y)	$(x + y) (x + y)$
192781	Find the Holes in the Graph	(2x+9)/(4x-9)	$\frac{2 x + 9}{4 x - 9}$
192782	Find the Exact Value	log base square root of 7 of 49	$\log_{\sqrt{7}} (49)$
192783	Subtract	x/(x-7)-(x^2)/(x^2-8x+7)	$\frac{x}{x - 7} - \frac{x^{2}}{x^{2} - 8 x + 7}$
192784	Solve for x	10=10-2/3x	$10 = 10 - \frac{2}{3} x$
192785	Graph Using a Table of Values	f(x)=1/3x	$f (x) = \frac{1}{3} x$
192786	Convert to Polar	x^2+y^2-6y=0	$x^{2} + y^{2} - 6 y = 0$
192787	Evaluate the Function	f(x)=3x^2-5 at x=2	$f (x) = 3 x^{2} - 5$ at $x = 2$
192788	Find the Inverse	f(x)=((x-10)/7)^3	$f (x) = {(\frac{x - 10}{7})}^{3}$
192789	Graph	f(x)=1/2(x-2)^2+1	$f (x) = \frac{1}{2} {(x - 2)}^{2} + 1$
192790	Solve for b	a=2/3(b+5)	$a = \frac{2}{3} (b + 5)$
192791	Simplify	(cos(2theta))/(sin(theta)^2)	$\frac{\cos (2 θ)}{\sin^{2} (θ)}$
192792	Factor	3a^3b^2c-9a^2b^3c^2+15ab^4c^3	$3 a^{3} b^{2} c - 9 a^{2} b^{3} c^{2} + 15 a b^{4} c^{3}$
192793	Find the End Behavior	f(x)=-126x^3-540x^2-936x-576-9x^4	$f (x) = - 126 x^{3} - 540 x^{2} - 936 x - 576 - 9 x^{4}$
192794	Simplify	x-5+x^2-1	$x - 5 + x^{2} - 1$
192795	Convert to Interval Notation	x^2<15x-7	$x^{2} < 15 x - 7$
192796	Convert to Meters	3cm	$3 cm$
192797	Find the Exact Value	sin((5pi)/4)^2	$\sin^{2} (\frac{5 π}{4})$
192798	Find the Roots (Zeros)	square root of x=7	$\sqrt{x} = 7$
192799	Solve for n	6-4(6n+7)>=122	$6 - 4 (6 n + 7) \geq 122$
192800	Find the Function	f(x)=2(1/7)^x	$f (x) = 2 {(\frac{1}{7})}^{x}$