Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
41901	Complete the Square	x^2+2x+1	$x^{2} + 2 x + 1$
41902	Find the Axis of Symmetry	y=x^2-2x	$y = x^{2} - 2 x$
41903	Divide	((x^2-16)/(x^2+5x+6))÷((x^2+5x+4)/(x^2-2x-8))	$\frac{x^{2} - 16}{x^{2} + 5 x + 6} \div \frac{x^{2} + 5 x + 4}{x^{2} - 2 x - 8}$
41904	Write in Standard Form	x^2-6x	$x^{2} - 6 x$
41905	Find Where Increasing/Decreasing	f(x)=-1/2x^2-5x-15/2	$f (x) = - \frac{1}{2} x^{2} - 5 x - \frac{15}{2}$
41906	Add	(2x-3)/(x+4)+(4x-5)/(x+4)	$\frac{2 x - 3}{x + 4} + \frac{4 x - 5}{x + 4}$
41907	Find Where Increasing/Decreasing	f(x)=x^2-12x-4	$f (x) = x^{2} - 12 x - 4$
41908	Add	(w^2+2w-24)/(w^2+w-30)+8/(w-5)	$\frac{w^{2} + 2 w - 24}{w^{2} + w - 30} + \frac{8}{w - 5}$
41909	Add	(x+2)/(x^2-2x-15)+x/(x+3)	$\frac{x + 2}{x^{2} - 2 x - 15} + \frac{x}{x + 3}$
41910	Find Where Increasing/Decreasing	f(x)=-2/7x^7	$f (x) = - \frac{2}{7} x^{7}$
41911	Add	x/(x-5)+-50/(x^2-25)	$\frac{x}{x - 5} + \frac{- 50}{x^{2} - 25}$
41912	Add	x/(25-x^2)+2/(3x-15)	$\frac{x}{25 - x^{2}} + \frac{2}{3 x - 15}$
41913	Find Where Increasing/Decreasing	v(x)=4-3x	$v (x) = 4 - 3 x$
41914	Factor	f(x)=x^4-3x^3-6x^2+28x-24	$f (x) = x^{4} - 3 x^{3} - 6 x^{2} + 28 x - 24$
41915	Factor	f(x)=4^-2	$f (x) = 4^{- 2}$
41916	Find Where Increasing/Decreasing	f(x)=x square root of 81-x^2	$f (x) = x \sqrt{81 - x^{2}}$
41917	Find Where Increasing/Decreasing	f(x)=3x^2-6x+5	$f (x) = 3 x^{2} - 6 x + 5$
41918	Determine the Nature of the Roots Using the Discriminant	x^2-4x+4=0	$x^{2} - 4 x + 4 = 0$
41919	Find Where Increasing/Decreasing	f(x)=3x^2+6x-72	$f (x) = 3 x^{2} + 6 x - 72$
41920	Factor	P(x)=-750x^2+15000x	$P (x) = - 750 x^{2} + 15000 x$
41921	Find Where Increasing/Decreasing	f(x)=1/2x^2-4x-17/2	$f (x) = \frac{1}{2} x^{2} - 4 x - \frac{17}{2}$
41922	Subtract	(3y)/(y^2-7y+10)-(2y)/(y^2-8y+15)	$\frac{3 y}{y^{2} - 7 y + 10} - \frac{2 y}{y^{2} - 8 y + 15}$
41923	Find Where Increasing/Decreasing	g(x)=3\|x-3\|	$g (x) = 3 \| x - 3 \|$
41924	Subtract	(2x^2-48)/(x^2-16)-(x+6)/(x+4)	$\frac{2 x^{2} - 48}{x^{2} - 16} - \frac{x + 6}{x + 4}$
41925	Find Where Increasing/Decreasing	f(x)=2(0.65)^x	$f (x) = 2 {(0.65)}^{x}$
41926	Subtract	(-5x)/(x-9)--8/(x-9)	$\frac{- 5 x}{x - 9} - \frac{- 8}{x - 9}$
41927	Find Where Increasing/Decreasing	f(x)=x^2-6x-3	$f (x) = x^{2} - 6 x - 3$
41928	Find Where Increasing/Decreasing	f(x)=-1/2(x+3)^2-2	$f (x) = - \frac{1}{2} {(x + 3)}^{2} - 2$
41929	Determine if True	0.75(8+e)=2-1.25e	$0.75 (8 + e) = 2 - 1.25 e$
41930	Find Where Increasing/Decreasing	f(x)=2x^2-16x+28	$f (x) = 2 x^{2} - 16 x + 28$
41931	Solve by Graphing	x=3	$y = 3$
41932	Find Where Increasing/Decreasing	f(x)=3x^2-18x+31	$f (x) = 3 x^{2} - 18 x + 31$
41933	Simplify	4 square root of 6	$4 \sqrt{6}$
41934	Find Where Increasing/Decreasing	f(x)=0.05(1.12)^(x-1)	$f (x) = 0.05 {(1.12)}^{x - 1}$
41935	Solve Using the Quadratic Formula	16x^2+4=0	$16 x^{2} + 4 = 0$
41936	Graph	y>=x-3	$y \geq x - 3$
41937	Find Where Increasing/Decreasing	f(x)=3x^2+12x-15	$f (x) = 3 x^{2} + 12 x - 15$
41938	Graph	y=-3x^2+12x-5	$y = - 3 x^{2} + 12 x - 5$
41939	Find Where Increasing/Decreasing	f(x)=-(x-3)^4+2	$f (x) = - {(x - 3)}^{4} + 2$
41940	Find Where Increasing/Decreasing	f(x)=4/3x^3-10x^2-24x+15	$f (x) = \frac{4}{3} x^{3} - 10 x^{2} - 24 x + 15$
41941	Find Where Increasing/Decreasing	f(x)=-4/7x^5	$f (x) = - \frac{4}{7} x^{5}$
41942	Find Where Increasing/Decreasing	f(x)=x^2-10x-2	$f (x) = x^{2} - 10 x - 2$
41943	Graph	y=x^2+2x+3	$y = x^{2} + 2 x + 3$
41944	Find Where Increasing/Decreasing	f(x)=x^2-18x+80	$f (x) = x^{2} - 18 x + 80$
41945	Graph	y=7/8x^3	$y = \frac{7}{8} x^{3}$
41946	Find Where Increasing/Decreasing	f(x)=x^3-9x^2+5	$f (x) = x^{3} - 9 x^{2} + 5$
41947	Solve the System of @WORD	x+y<1 , x-y>2	$x + y < 1$ , $x - y > 2$
41948	Determine the Type of Number	12	$12$
41949	Expand Using the Binomial Theorem	(2x^2+y^2)^4	${(2 x^{2} + y^{2})}^{4}$
41950	Find the Derivative Using Quotient Rule - d/dx	-(8x)/y	$- \frac{8 x}{y}$
41951	Solve for x	-3(9x+20)>=15x-20	$- 3 (9 x + 20) \geq 15 x - 20$
41952	Solve for k	k+12/k=8	$k + \frac{12}{k} = 8$
41953	Find the Supplement	(9pi)/10	$\frac{9 π}{10}$
41954	Simplify	2 square root of 10	$2 \sqrt{10}$
41955	Find the Domain of the Product of the Functions	f(x)=2x+1 , g(x) = square root of x	$f (x) = 2 x + 1$ , $g (x) = \sqrt{x}$
41956	Simplify	(-3y^2-8)-(-5y^2+1)	$(- 3 y^{2} - 8) - (- 5 y^{2} + 1)$
41957	Divide	(x^3+5x^2+3x-10)/(x+4)	$\frac{x^{3} + 5 x^{2} + 3 x - 10}{x + 4}$
41958	Find the Domain of the Product of the Functions	f(x)=x+1 , g(x)=x-1	$f (x) = x + 1$ , $g (x) = x - 1$
41959	Find the Center and Radius	x^2+y^2-12x-12y+36=0	$x^{2} + y^{2} - 12 x - 12 y + 36 = 0$
41960	Simplify	(a-3)/(15a)*5/(a-3)	$\frac{a - 3}{15 a} \cdot \frac{5}{a - 3}$
41961	Use the Factor Theorem to Determine if k=5 is a Factor	f(x)=x^3-2x^2-25x+50 ; k=5	$f (x) = x^{3} - 2 x^{2} - 25 x + 50$ ; $k = 5$
41962	Multiply	-2x^2(4x-3)	$- 2 x^{2} (4 x - 3)$
41963	Graph	y=10^x	$y = 10^{x}$
41964	Graph	\|x\|<=3	$\| x \| \leq 3$
41965	Graph	y=csc(x)	$y = \csc (x)$
41966	Find Any Equation Parallel to the Line	-3+4x=y+2x	$- 3 + 4 x = y + 2 x$
41967	Find Any Equation Parallel to the Line	19x-20y=1	$19 x - 20 y = 1$
41968	Factor	14x^2+35x	$14 x^{2} + 35 x$
41969	Find Any Equation Parallel to the Line	11x-12y=1	$11 x - 12 y = 1$
41970	Find the Inverse	y=x^2	$y = x^{2}$
41971	Find Any Equation Parallel to the Line	5x-7y=2	$5 x - 7 y = 2$
41972	Find Any Equation Parallel to the Line	4x+7y=8	$4 x + 7 y = 8$
41973	Solve for x	11x=8x-6	$11 x = 8 x - 6$
41974	Find Any Equation Parallel to the Line	4x+7y=9	$4 x + 7 y = 9$
41975	Find Any Equation Parallel to the Line	7.0x-8y=1	$7 x - 8 y = 1$
41976	Solve for x	10* log of 4x=25	$10 \cdot \log (4 x) = 25$
41977	Find Any Equation Parallel to the Line	6x-y=-12	$6 x - y = - 12$
41978	Solve for x	18-4x=-2	$18 - 4 x = - 2$
41979	Find the Sample Standard Deviation	78 , 90 , 456 , 676 , 111 , 381 , 21	$78$ , $90$ , $456$ , $676$ , $111$ , $381$ , $21$
41980	Solve for x	2\|x-2\|=6	$2 \| x - 2 \| = 6$
41981	Find the Sample Standard Deviation	9 , 8 , 6 , 7 , 8 , 5 , 6 , 9 , 7 , 7	$9$ , $8$ , $6$ , $7$ , $8$ , $5$ , $6$ , $9$ , $7$ , $7$
41982	Find the Sample Standard Deviation	99 , 78 , 56 , 11 , 43 , 22 , 16 , 31 , 49 , 28 , 37 , 29 , 30 , 38 , 34	$99$ , $78$ , $56$ , $11$ , $43$ , $22$ , $16$ , $31$ , $49$ , $28$ , $37$ , $29$ , $30$ , $38$ , $34$
41983	Find the Sample Standard Deviation	46 , 56 , 45 , 44 , 45 , 61 , 55 , 53 , 39	$46$ , $56$ , $45$ , $44$ , $45$ , $61$ , $55$ , $53$ , $39$
41984	Graph	y>=2x	$y \geq 2 x$
41985	Find the Sample Standard Deviation	48 , 65 , 57 , 54 , 61 , 57 , 52 , 61 , 57	$48$ , $65$ , $57$ , $54$ , $61$ , $57$ , $52$ , $61$ , $57$
41986	Solve for x	x^(2/3)-2x^(1/3)-15=0	$x^{\frac{2}{3}} - 2 x^{\frac{1}{3}} - 15 = 0$
41987	Find the Sample Standard Deviation	51 , 79 , 82 , 60 , 63 , 65 , 70 , 70	$51$ , $79$ , $82$ , $60$ , $63$ , $65$ , $70$ , $70$
41988	Solve for x	x^(2/3)+2x^(1/3)-3=0	$x^{\frac{2}{3}} + 2 x^{\frac{1}{3}} - 3 = 0$
41989	Solve for x	x/7=8	$\frac{x}{7} = 8$
41990	Solve for x	x/5=3	$\frac{x}{5} = 3$
41991	Simplify	i^8*1	$i^{81}$
41992	Find the Sample Standard Deviation	100 , 140 , 130 , 180 , 80 , 160	$100$ , $140$ , $130$ , $180$ , $80$ , $160$
41993	Solve for x	x^2=10	$x^{2} = 10$
41994	Find the Sample Standard Deviation	23 , 32 , 20 , 43 , 41 , 66 , 63 , 59 , 54 , 36 , 45 , 61 , 55 , 44 , 47	$23$ , $32$ , $20$ , $43$ , $41$ , $66$ , $63$ , $59$ , $54$ , $36$ , $45$ , $61$ , $55$ , $44$ , $47$
41995	Solve for x	x^2-14x+48=0	$x^{2} - 14 x + 48 = 0$
41996	Find the Sample Standard Deviation	25 , 32 , 16 , 12 , 11 , 38 , 22 , 21 , 19 , 20	$25$ , $32$ , $16$ , $12$ , $11$ , $38$ , $22$ , $21$ , $19$ , $20$
41997	Factor	9a^2+24ab+16b^2	$9 a^{2} + 24 a b + 16 b^{2}$
41998	Find the Sample Standard Deviation	3 , 6 , 30 , 9 , 10 , 8 , 5 , 4	$3$ , $6$ , $30$ , $9$ , $10$ , $8$ , $5$ , $4$
41999	Evaluate	natural log of 2.2	$\ln (2.2)$
42000	Find the Sample Standard Deviation	147 , 141 , 120 , 124 , 128	$147$ , $141$ , $120$ , $124$ , $128$