Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
133901	Solve Using a Matrix by Elimination	-x-5y+z=17-5x-5y+5z=52x+5y-3z=-10	$- x - 5 y + z = 17 - 5 x - 5 y + 5 z = 52 x + 5 y - 3 z = - 10$
133902	Find the Parabola Through (3,12) with Vertex (1,8)	(1,8) , (3,12)	$(1, 8) (3, 12)$
133903	Find the Equation Using Slope-Intercept Form	(-3,5) ; m=2/3	$(- 3, 5)$ ; $m = \frac{2}{3}$
133904	Find the Equation Using Slope-Intercept Form	m=5 , (7,7)	$m = 5$ , $(7, 7)$
133905	Find the Equation Using Slope-Intercept Form	m=7 , b=2	$m = 7$ , $b = 2$
133906	Find the Equation Using Slope-Intercept Form	m=7 , b=8	$m = 7$ , $b = 8$
133907	Find the Equation Using Slope-Intercept Form	m=7 , (2,2)	$m = 7$ , $(2, 2)$
133908	Find the Behavior (Leading Coefficient Test)	x^8+2x^4-4x^3+x^2-1	$x^{8} + 2 x^{4} - 4 x^{3} + x^{2} - 1$
133909	Find the Lower or First Quartile	45 , 76 , 12 , 39 , 87 , 65 , 23 , 32	$45$ , $76$ , $12$ , $39$ , $87$ , $65$ , $23$ , $32$
133910	Find the Mode	1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10	$1$ , $2$ , $3$ , $4$ , $5$ , $6$ , $7$ , $8$ , $9$ , $10$
133911	Find the Mode	10 , 15 , 25 , 75 , 75 , 77 , 80 , 83 , 85 , 90	$10$ , $15$ , $25$ , $75$ , $75$ , $77$ , $80$ , $83$ , $85$ , $90$
133912	Find the Mode	9 , 15 , 28 , 10 , 8	$9$ , $15$ , $28$ , $10$ , $8$
133913	Find the Mode	21 , 15 , 16 , 25 , 13 , 18	$21$ , $15$ , $16$ , $25$ , $13$ , $18$
133914	Find the Mode	14 , 28 , 33 , 97 , 53 , 81 , 42 , 28 , 32 , 35 , 75 , 38 , 69 , 95 , 49 , 90	$14$ , $28$ , $33$ , $97$ , $53$ , $81$ , $42$ , $28$ , $32$ , $35$ , $75$ , $38$ , $69$ , $95$ , $49$ , $90$
133915	Find the Mode	36 , 45 , 52 , 40 , 38 , 41 , 50 , 48	$36$ , $45$ , $52$ , $40$ , $38$ , $41$ , $50$ , $48$
133916	Determine if the Relation is a Function	{(1,3),(2,3),(4,3),(9,3)}	${(1, 3), (2, 3), (4, 3), (9, 3)}$
133917	Find g(f(x))	f(x)=x^2+3xg(x)=2x^2	$f (x) = x^{2} + 3 x g (x) = 2 x^{2}$
133918	Find P(P(A))	P(A)=1/4 , P(B)=2/7	$P (A) = \frac{1}{4}$ , $P (B) = \frac{2}{7}$
133919	Round to the Nearest Whole Number	84.78	$84.78$
133920	Round to the Nearest Whole Number	88.27	$88.27$
133921	Round to the Nearest Whole Number	9.8	$9.8$
133922	Round to the Nearest Whole Number	6.5	$6.5$
133923	Round to the Nearest Whole Number	200.96	$200.96$
133924	Round to the Nearest Whole Number	213.52	$213.52$
133925	Round to the Nearest Whole Number	288.88	$288.88$
133926	Round to the Nearest Whole Number	1808.64	$1808.64$
133927	Find Where Undefined/Discontinuous	y=(2x^2+5)/(x^2-2x)	$y = \frac{(2 x^{2} + 5)}{x^{2} - 2 x}$
133928	Find the Equation Using Point-Slope Formula	(-3,3) , (0,-1)	$(- 3, 3) (0, - 1)$
133929	Find the Equation Using Point-Slope Formula	(-10,-6) ; m=-5/8	$(- 10, - 6)$ ; $m = - \frac{5}{8}$
133930	Find the Equation Using Point-Slope Formula	(1,-1) , (3,-5)	$(1, - 1) (3, - 5)$
133931	Determine if the Expression is a Perfect Square	144x^2	$144 x^{2}$
133932	Determine if the Expression is a Perfect Square	10000	$10000$
133933	Determine if the Expression is a Perfect Square	49x^2-28x+16	$49 x^{2} - 28 x + 16$
133934	Find the Roots/Zeros Using the Rational Roots Test	x^4-6x^3-19x^2+84x+180	$x^{4} - 6 x^{3} - 19 x^{2} + 84 x + 180$
133935	Find the Roots/Zeros Using the Rational Roots Test	x^4-7x^3+3x^2+63x-108	$x^{4} - 7 x^{3} + 3 x^{2} + 63 x - 108$
133936	Find the Properties	(x^2)/64+((y-6)^2)/121=1	$\frac{x^{2}}{64} + \frac{{(y - 6)}^{2}}{121} = 1$
133937	Find the Roots/Zeros Using the Rational Roots Test	x^3+4x^2-7x-10	$x^{3} + 4 x^{2} - 7 x - 10$
133938	Find the Roots/Zeros Using the Rational Roots Test	x^3-3x^2-2x+6	$x^{3} - 3 x^{2} - 2 x + 6$
133939	Find the Roots/Zeros Using the Rational Roots Test	x^4+6x^3+7x^2-6x-8	$x^{4} + 6 x^{3} + 7 x^{2} - 6 x - 8$
133940	Find the Roots/Zeros Using the Rational Roots Test	3x^3-5x^2-12x+20	$3 x^{3} - 5 x^{2} - 12 x + 20$
133941	Find the Roots/Zeros Using the Rational Roots Test	2x^4-21x^3+49x^2+9x-63	$2 x^{4} - 21 x^{3} + 49 x^{2} + 9 x - 63$
133942	Determine if the Expression is a Perfect Square	x^2+5x+c	$x^{2} + 5 x + c$
133943	Determine if the Expression is a Perfect Square	x^2+28x+c	$x^{2} + 28 x + c$
133944	Determine if the Expression is a Perfect Square	72	$72$
133945	Rationalize the Numerator	square root of 2/5	$\sqrt{\frac{2}{5}}$
133946	Find the Degree	sin(x)=3/5	$\sin (x) = \frac{3}{5}$
133947	Find the Local Maxima and Minima	y=2x^3+x^2-7x-6	$y = 2 x^{3} + x^{2} - 7 x - 6$
133948	Find the Local Maxima and Minima	y=x^4-2x^3-11x^2+12x+36	$y = x^{4} - 2 x^{3} - 11 x^{2} + 12 x + 36$
133949	Find the Sine Given the Point	(8/17,15/17)	$(\frac{8}{17}, \frac{15}{17})$
133950	Find the Sum of the First 7 Terms	1/3 , 2/3 , 1 , 4/3 , 5/3	$\frac{1}{3}$ , $\frac{2}{3}$ , $1$ , $\frac{4}{3}$ , $\frac{5}{3}$
133951	Find the Sum of the Series	1-1/2+1/4-1/8	$1 - \frac{1}{2} + \frac{1}{4} - \frac{1}{8}$
133952	Find the Sum of the Series	1+2/3+4/9+8/27	$1 + \frac{2}{3} + \frac{4}{9} + \frac{8}{27}$
133953	Find the Parabola with Focus (1,-4) and Directrix x=2	(1,-4) x=2	$(1, - 4)$ $x = 2$
133954	Determine if Odd, Even, or Neither	-5x^3+7x	$- 5 x^{3} + 7 x$
133955	Determine if Odd, Even, or Neither	14x^8+8x^6+8x^4+3	$14 x^{8} + 8 x^{6} + 8 x^{4} + 3$
133956	Determine if Odd, Even, or Neither	3x^3-2x	$3 x^{3} - 2 x$
133957	Determine if Odd, Even, or Neither	cube root of 2x	$\sqrt[3]{2 x}$
133958	Determine if Odd, Even, or Neither	cube root of 5x	$\sqrt[3]{5 x}$
133959	Find the Equation Using Two Points	(0,2) , (2,5)	$(0, 2)$ , $(2, 5)$
133960	Find the Equation Using Two Points	(3,7) , (-2,5)	$(3, 7) (- 2, 5)$
133961	Find Where Undefined/Discontinuous	f(x)=(2x-4)/(x^2+2x-8)	$f (x) = \frac{2 x - 4}{x^{2} + 2 x - 8}$
133962	Find Where Undefined/Discontinuous	f(x)=(3x-7)/(x^2-25)	$f (x) = \frac{3 x - 7}{x^{2} - 25}$
133963	Find Amplitude, Period, and Phase Shift	tan(1/2x)	$\tan (\frac{1}{2} x)$
133964	Find Amplitude, Period, and Phase Shift	1.5sin(4x)	$1.5 \sin (4 x)$
133965	Find the Leading Coefficient	(x+2)^3	${(x + 2)}^{3}$
133966	Verify the Identity	cos(x/3)cos(x/3)=1/2(1+cos((2x)/3))	$\cos (\frac{x}{3}) \cos (\frac{x}{3}) = \frac{1}{2} (1 + \cos (\frac{2 x}{3}))$
133967	Verify the Identity	1+cos(18x)=2sin(18x)^2	$1 + \cos (18 x) = 2 \sin^{2} (18 x)$
133968	Write as an Equation	f(x)=(1.25^(x/4))^16	$f (x) = {({1.25}^{\frac{x}{4}})}^{16}$
133969	Determine the Possible Number of Real Roots	5x^6+x^4-3=0	$5 x^{6} + x^{4} - 3 = 0$
133970	Find Where Increasing/Decreasing	y=x^2-2x	$y = x^{2} - 2 x$
133971	Find Where Increasing/Decreasing	y=cos(x)	$y = \cos (x)$
133972	Find Where Increasing/Decreasing	y=x^2-2x-8	$y = x^{2} - 2 x - 8$
133973	Solve for t2	v_1/t_1=v_2/t_2	$\frac{v_{1}}{t_{1}} = \frac{v_{2}}{t_{2}}$
133974	Solve for V0	S=V_0t-16t^2	$S = V_{0} t - 16 t^{2}$
133975	Find Where Increasing/Decreasing	y=35(0.57)^x	$y = 35 {(0.57)}^{x}$
133976	Solve for I	P=(R-I)/L	$P = \frac{R - I}{L}$
133977	Solve for I	l=(2u)/(I^2)	$l = \frac{2 u}{I^{2}}$
133978	Solve for I	A=Iw	$A = I w$
133979	Solve for I	11=2 square root of I-9	$11 = 2 \sqrt{I} - 9$
133980	Solve for a2	a_2=4a_2-1	$a_{2} = 4 a_{2 - 1}$
133981	Solve for a2	a_2=a_2-1+7	$a_{2} = a_{2 - 1} + 7$
133982	Solve for a3	a_3=2(3)^(3-1)	$a_{3} = 2 {(3)}^{3 - 1}$
133983	Solve Using a Matrix with Cramer's Rule	3x-4y-8z=-714x+5y-2z=166x-8y+5z=26	$3 x - 4 y - 8 z = - 714 x + 5 y - 2 z = 166 x - 8 y + 5 z = 26$
133984	Solve Using a Matrix with Cramer's Rule	5x+2y+z=-112x-3y-z=177x-y=12	$5 x + 2 y + z = - 112 x - 3 y - z = 177 x - y = 12$
133985	Solve for x	-9<=2x+1<5	$- 9 \leq 2 x + 1 < 5$
133986	Solve for x	4<x-11<11	$4 < x - 11 < 11$
133987	Solve for x	4<3x-2<10	$4 < 3 x - 2 < 10$
133988	Solve for x	-38<=9x-11<34	$- 38 \leq 9 x - 11 < 34$
133989	Solve for x	-3<(3x-1)/2<0	$- 3 < \frac{3 x - 1}{2} < 0$
133990	Solve for x	-15<3(x-5)<=4	$- 15 < 3 (x - 5) \leq 4$
133991	Solve for x	1/3<=(x+1)/4<4/5	$\frac{1}{3} \leq \frac{x + 1}{4} < \frac{4}{5}$
133992	Solve for x	-11<1-2x<=-5	$- 11 < 1 - 2 x \leq - 5$
133993	Solve for c	-3<5c+7<22	$- 3 < 5 c + 7 < 22$
133994	Write as a Set of Linear Factors	x^3+x^2-6x=0	$x^{3} + x^{2} - 6 x = 0$
133995	Find the Vertical and Horizontal Intercept(s)	f(x)=1/x	$f (x) = \frac{1}{x}$
133996	Evaluate Using Scientific Notation	(610^8)/(1.510^-4)	$\frac{(6 \cdot 10^{8})}{(1.5 \cdot 10^{- 4})}$
133997	Evaluate Using Scientific Notation	(1.810^8)(8.310^-3)	$(1.8 \cdot 10^{8}) (8.3 \cdot 10^{- 3})$
133998	Evaluate Using Scientific Notation	(2*10^13)^-2	${(2 \cdot 10^{13})}^{- 2}$
133999	Evaluate Using Scientific Notation	(9.32610^17)/(2.1910^15)	$\frac{9.326 \cdot 10^{17}}{2.19 \cdot 10^{15}}$
134000	Evaluate Using Scientific Notation	2.210^6-4.310^5	$2.2 \cdot 10^{6} - 4.3 \cdot 10^{5}$