Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
132701	Find the Standard Form of the Parabola	y=x^2+8x+15	$y = x^{2} + 8 x + 15$
132702	Find the Constant of Variation	y=3/4x	$y = \frac{3}{4} x$
132703	Find the Constant of Variation	y=8x	$y = 8 x$
132704	Find the Constant of Variation	2xy=10	$2 x y = 10$
132705	Find the LCD	8/(3x+12) , 7/(6x)	$\frac{8}{3 x + 12}$ , $\frac{7}{6 x}$
132706	Find the LCD	-7/(5y) , 35/(7y)	$\frac{- 7}{5 y}$ , $\frac{35}{7 y}$
132707	Find the LCD	5x+5 , x+1	$5 x + 5$ , $x + 1$
132708	Find the LCD	(x+5)/(2x-4) , (4x)/(x-2)	$\frac{x + 5}{2 x - 4}$ , $\frac{4 x}{x - 2}$
132709	Find the LCD	1/9 , 1/15 , 1/5	$\frac{1}{9}$ , $\frac{1}{15}$ , $\frac{1}{5}$
132710	Convert from Interval to Inequality	(-3,4)	$(- 3, 4)$
132711	Convert from Interval to Inequality	(7,9)	$(7, 9)$
132712	Find All Complex Number Solutions	9x^2-12x+4=0	$9 x^{2} - 12 x + 4 = 0$
132713	Find All Complex Number Solutions	x^2-2x+5=0	$x^{2} - 2 x + 5 = 0$
132714	Find All Complex Number Solutions	x^2-3x+8=0	$x^{2} - 3 x + 8 = 0$
132715	Find All Complex Number Solutions	x^4-16=0	$x^{4} - 16 = 0$
132716	Find All Complex Number Solutions	x^4-625=0	$x^{4} - 625 = 0$
132717	Multiply the Matrices	[[2,-1],[-6,1]]*[[4,4],[-3,-5]]	$[\begin{array}{c} 2 & - 1 \\ - 6 & 1 \end{array}] \cdot [\begin{array}{c} 4 & 4 \\ - 3 & - 5 \end{array}]$
132718	Multiply the Matrices	[[7,0],[0,2]][[1,0],[0,-3]]	$[\begin{array}{c} 7 & 0 \\ 0 & 2 \end{array}] [\begin{array}{c} 1 & 0 \\ 0 & - 3 \end{array}]$
132719	Multiply the Matrices	[[-7,1,5],[-2,9,6],[5,-6,9]][[5,1,3],[-7,9,9],[-7,9,5]]	$[\begin{array}{c} - 7 & 1 & 5 \\ - 2 & 9 & 6 \\ 5 & - 6 & 9 \end{array}] [\begin{array}{c} 5 & 1 & 3 \\ - 7 & 9 & 9 \\ - 7 & 9 & 5 \end{array}]$
132720	Find the Behavior (Leading Coefficient Test)	f(x)=11x(x+7)^2(x+1)^3(x-2)^2	$f (x) = 11 x {(x + 7)}^{2} {(x + 1)}^{3} {(x - 2)}^{2}$
132721	Convert to Set Notation	x^2-2x-8<0	$x^{2} - 2 x - 8 < 0$
132722	Convert to Set Notation	-7x<-21	$- 7 x < - 21$
132723	Evaluate Using Scientific Notation	(2.810^-2)(9.110^6)	$(2.8 \cdot 10^{- 2}) (9.1 \cdot 10^{6})$
132724	Evaluate Using Scientific Notation	(3.810^8)(6.910^5)	$(3.8 \cdot 10^{8}) (6.9 \cdot 10^{5})$
132725	Write as a Function of y	y=3^x	$y = 3^{x}$
132726	Write as a Function of x	e^(2x)-12e^x+11=0	$e^{2 x} - 12 e^{x} + 11 = 0$
132727	Write as a Function of x	2x-6y=6	$2 x - 6 y = 6$
132728	Write as a Function of x	4x+2y=8	$4 x + 2 y = 8$
132729	Write as a Function of x	y=2x+6	$y = 2 x + 6$
132730	Write as a Function of x	y=2x+1	$y = 2 x + 1$
132731	Write as a Function of y	x^2+y^2=169	$x^{2} + y^{2} = 169$
132732	Write as a Function of y	x^2+y=25	$x^{2} + y = 25$
132733	Write as a Function of m	-2m-5n=7m-3n	$- 2 m - 5 n = 7 m - 3 n$
132734	Find the Remainder	(5y^2-6y+1)/(-5(y-1))	$\frac{5 y^{2} - 6 y + 1}{- 5 (y - 1)}$
132735	Find the Remainder	(x^2+7x+12)÷(x+4)	$(x^{2} + 7 x + 12) \div (x + 4)$
132736	Find the Remainder	(-3x^2+4x-2)/(-3x+19)	$\frac{- 3 x^{2} + 4 x - 2}{- 3 x + 19}$
132737	Find the Remainder	(x^5+3x^3-4)/(x-1)	$\frac{x^{5} + 3 x^{3} - 4}{x - 1}$
132738	Find the Remainder	(x^3+3x^2-x-6)÷(x-1)	$(x^{3} + 3 x^{2} - x - 6) \div (x - 1)$
132739	Find the Remainder	(x^3-11x-20)/(x-4)	$\frac{x^{3} - 11 x - 20}{x - 4}$
132740	Find the Remainder	(x^4-x^3+x^2-4x-1)/(x+2)	$\frac{x^{4} - x^{3} + x^{2} - 4 x - 1}{x + 2}$
132741	Find the Interquartile Range (H-Spread)	2.8 , 4 , 4.3 , 6 , 7.5 , 8.5 , 9 , 11.6 , 12 , 12.1	$2.8$ , $4$ , $4.3$ , $6$ , $7.5$ , $8.5$ , $9$ , $11.6$ , $12$ , $12.1$
132742	Find the Interquartile Range (H-Spread)	0 , 0 , 0 , 1 , 1 , 3 , 3 , 4 , 7 , 7	$0$ , $0$ , $0$ , $1$ , $1$ , $3$ , $3$ , $4$ , $7$ , $7$
132743	Use the Rational Roots Test to Find All Possible Roots	x^4-13x^2+36	$x^{4} - 13 x^{2} + 36$
132744	Use the Rational Roots Test to Find All Possible Roots	x^4-25x^2+144	$x^{4} - 25 x^{2} + 144$
132745	Use the Rational Roots Test to Find All Possible Roots	4x^4-20x^3+15x^2+5x-4	$4 x^{4} - 20 x^{3} + 15 x^{2} + 5 x - 4$
132746	Find Where Increasing/Decreasing	y=x^2-2	$y = x^{2} - 2$
132747	Determine the Possible Number of Real Roots	25x^2-20x+4=0	$25 x^{2} - 20 x + 4 = 0$
132748	Find Where Increasing/Decreasing	y=\|2x-5\|+11	$y = \| 2 x - 5 \| + 11$
132749	Determine the Possible Number of Real Roots	f(x)=-x^6+x^5-x^4+4x^3-12x^2+12	$f (x) = - x^{6} + x^{5} - x^{4} + 4 x^{3} - 12 x^{2} + 12$
132750	Find the Eccentricity	((x-5)^2)/4+((y+3)^2)/16=1	$\frac{{(x - 5)}^{2}}{4} + \frac{{(y + 3)}^{2}}{16} = 1$
132751	Round to the Nearest Tenth	1.7	$1.7$
132752	Round to the Nearest Tenth	11	$11$
132753	Round to the Nearest Tenth	14	$14$
132754	Round to the Nearest Tenth	14.6	$14.6$
132755	Round to the Nearest Tenth	13	$13$
132756	Round to the Nearest Tenth	0.06	$0.06$
132757	Round to the Nearest Tenth	0.58	$0.58$
132758	Round to the Nearest Tenth	0.67	$0.67$
132759	Round to the Nearest Tenth	0.95	$0.95$
132760	Round to the Nearest Tenth	0.96	$0.96$
132761	Round to the Nearest Tenth	2.64	$2.64$
132762	Round to the Nearest Tenth	26	$26$
132763	Round to the Nearest Tenth	5.4	$5.4$
132764	Round to the Nearest Tenth	4.8	$4.8$
132765	Round to the Nearest Tenth	77.5	$77.5$
132766	Find the Midpoint	(8,-3) , (-6,-11)	$(8, - 3)$ , $(- 6, - 11)$
132767	Find the Midpoint	(-3,-5) , (2,5)	$(- 3, - 5) (2, 5)$
132768	Find the Center and Radius	4x^2+3y^2=12	$4 x^{2} + 3 y^{2} = 12$
132769	Find the Range	10 , 9 , 14 , 21 , 9 , 12 , 15 , 23	$10$ , $9$ , $14$ , $21$ , $9$ , $12$ , $15$ , $23$
132770	Find the Range	72 , 82 , 65 , 67 , 80 , 81 , 67	$72$ , $82$ , $65$ , $67$ , $80$ , $81$ , $67$
132771	Find the Range	56 , 40 , 43 , 38 , 46 , 38 , 50 , 53	$56$ , $40$ , $43$ , $38$ , $46$ , $38$ , $50$ , $53$
132772	Find the Range	21 , 26 , 38 , 47 , 43 , 18 , 46 , 21 , 18	$21$ , $26$ , $38$ , $47$ , $43$ , $18$ , $46$ , $21$ , $18$
132773	Find the GCF	85 , 95 , 35	$85$ , $95$ , $35$
132774	Find the GCF	21p^3q , 14p^4q^2 , 42p^2q^5	$21 p^{3} q$ , $14 p^{4} q^{2}$ , $42 p^{2} q^{5}$
132775	Find the GCF	24 , 12 , 4	$24$ , $12$ , $4$
132776	Find the GCF	18 , 54	$18$ , $54$
132777	Find the GCF	30b^2 , 80b^2 , 20b^3	$30 b^{2}$ , $80 b^{2}$ , $20 b^{3}$
132778	Find the GCF	20 , 35	$20$ , $35$
132779	Round to the Nearest Thousandth	251.71908843	$251.71908843$
132780	Round to the Nearest Thousandth	0.5	$0.5$
132781	Round to the Nearest Thousandth	0.8	$0.8$
132782	Determine if Linear	y=3x^2+1	$y = 3 x^{2} + 1$
132783	Find the Points of Intersection	y=x^2-8x+2y=-2x+18	$y = x^{2} - 8 x + 2 y = - 2 x + 18$
132784	Find the Distance Between Two Points	(1,1) , (4,5)	$(1, 1) (4, 5)$
132785	Find the Distance Between Two Points	(-1,6) , (4,8)	$(- 1, 6) (4, 8)$
132786	Find a,b,c	-25x^2+20x-4=0	$- 25 x^{2} + 20 x - 4 = 0$
132787	Solve the Matrix Equation	1/3x+[[0,4],[4,7],[18,6]]=[[4,0],[0,1],[-13,15]]	$\frac{1}{3} x + [\begin{array}{c} 0 & 4 \\ 4 & 7 \\ 18 & 6 \end{array}] = [\begin{array}{c} 4 & 0 \\ 0 & 1 \\ - 13 & 15 \end{array}]$
132788	Find the Function Rule	table[[x,y],[1,10],[2,20],[3,40]]	$\begin{array}{c} x & y \\ 1 & 10 \\ 2 & 20 \\ 3 & 40 \end{array}$
132789	Find the Function Rule	table[[x,y],[0,2],[1,6],[2,18]]	$\begin{array}{c} x & y \\ 0 & 2 \\ 1 & 6 \\ 2 & 18 \end{array}$
132790	Find the Function Rule	table[[x,y],[1,3],[2,5],[3,7]]	$\begin{array}{c} x & y \\ 1 & 3 \\ 2 & 5 \\ 3 & 7 \end{array}$
132791	Solve the Matrix Equation	[[3,4],[-4,3]]*[[x],[y]]=[[17],[44]]	$[\begin{array}{c} 3 & 4 \\ - 4 & 3 \end{array}] \cdot [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 17 \\ 44 \end{array}]$
132792	Solve the Matrix Equation	3x-[[0,12],[37,60]]=[[15,42],[5,-30]]	$3 x - [\begin{array}{c} 0 & 12 \\ 37 & 60 \end{array}] = [\begin{array}{c} 15 & 42 \\ 5 & - 30 \end{array}]$
132793	Solve the Matrix Equation	4x+[[6,-6],[-8,0],[11,7]]=[[11,0],[0,-2],[6,7]]	$4 x + [\begin{array}{c} 6 & - 6 \\ - 8 & 0 \\ 11 & 7 \end{array}] = [\begin{array}{c} 11 & 0 \\ 0 & - 2 \\ 6 & 7 \end{array}]$
132794	Solve the Matrix Equation	-4x-[[10,22],[-6,19]]=[[14,22],[26,-3]]	$- 4 x - [\begin{array}{c} 10 & 22 \\ - 6 & 19 \end{array}] = [\begin{array}{c} 14 & 22 \\ 26 & - 3 \end{array}]$
132795	Find the LCM	x^2-25 , x+5	$x^{2} - 25$ , $x + 5$
132796	Find the LCM	5ab , 10b	$5 a b$ , $10 b$
132797	Find the LCM	12 , 28	$12$ , $28$
132798	Find the LCM	12a^2b , 15abc , 8b^3c^4	$12 a^{2} b$ , $15 a b c$ , $8 b^{3} c^{4}$
132799	Find the LCM	2x^2-18 , 5x^3+30x^2+45x	$2 x^{2} - 18$ , $5 x^{3} + 30 x^{2} + 45 x$
132800	Find the LCM	3a^3b^2 , 18ab^3	$3 a^{3} b^{2}$ , $18 a b^{3}$