Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
145501	Find the Slope of a Perpendicular Line	2x-5y=7	$2 x - 5 y = 7$
145502	Find the Slope of a Perpendicular Line	x-6y=4	$x - 6 y = 4$
145503	Find the Slope of a Perpendicular Line	x+2y=8	$x + 2 y = 8$
145504	Find the Slope of a Perpendicular Line	y=-1/4x+5	$y = - \frac{1}{4} x + 5$
145505	Find the Determinant	table[[x,y],[14,-5],[21,-3],[28,-1]]	$\begin{array}{c} x & y \\ 14 & - 5 \\ 21 & - 3 \\ 28 & - 1 \end{array}$
145506	Find the Vertex Form	f(x)=x^2+2x-15	$f (x) = x^{2} + 2 x - 15$
145507	Find the Determinant	[[-3,2,1],[4,0,3],[3,1,2]]	$[\begin{array}{c} - 3 & 2 & 1 \\ 4 & 0 & 3 \\ 3 & 1 & 2 \end{array}]$
145508	Find the Range	f(x)=11*(1/3)^x	$f (x) = 11 \cdot {(\frac{1}{3})}^{x}$
145509	Find the Range	f(x)=2x-5	$f (x) = 2 x - 5$
145510	Find the Roots/Zeros Using the Rational Roots Test	2x^3+5x^2-8x-10=0	$2 x^{3} + 5 x^{2} - 8 x - 10 = 0$
145511	Find the Roots/Zeros Using the Rational Roots Test	2x^4-15x^3+32x^2-30x+56=0	$2 x^{4} - 15 x^{3} + 32 x^{2} - 30 x + 56 = 0$
145512	Use the Rational Roots Test to Find All Possible Roots	p(x)=x^4-9x^2-4x+12	$p (x) = x^{4} - 9 x^{2} - 4 x + 12$
145513	Find the Domain and Range	{(0,5),(2,3),(1,-4),(-3,3),(-1,-2)}	${(0, 5), (2, 3), (1, - 4), (- 3, 3), (- 1, - 2)}$
145514	Find the Domain and Range	{(-6,5),(-6,-7),(5,-6),(6,-1),(-4,-5)}	${(- 6, 5), (- 6, - 7), (5, - 6), (6, - 1), (- 4, - 5)}$
145515	Find the Median	8 , 20 , 11 , 15 , 33 , 18 , 22 , 23 , 27 , 25	$8$ , $20$ , $11$ , $15$ , $33$ , $18$ , $22$ , $23$ , $27$ , $25$
145516	Find the Median	26 , 26 , 28 , 29 , 31 , 33 , 35 , 36 , 37 , 38 , 40 , 42 , 43 , 46 , 48	$26$ , $26$ , $28$ , $29$ , $31$ , $33$ , $35$ , $36$ , $37$ , $38$ , $40$ , $42$ , $43$ , $46$ , $48$
145517	Find the Median	42 , 61 , 13 , 9 , 12 , 42 , 62	$42$ , $61$ , $13$ , $9$ , $12$ , $42$ , $62$
145518	Find the Equation Given the Roots	-3 , 0 , 4	$- 3$ , $0$ , $4$
145519	Find Amplitude, Period, and Phase Shift	y=-6sin(2pi*0)	$y = - 6 \sin (2 π \cdot 0)$
145520	Find Amplitude, Period, and Phase Shift	y=5cos(pix)	$y = 5 \cos (π x)$
145521	Find Amplitude, Period, and Phase Shift	y=5sin(3x-3/2)	$y = 5 \sin (3 x - \frac{3}{2})$
145522	Find Amplitude, Period, and Phase Shift	y=-4sin(3/2x)	$y = - 4 \sin (\frac{3}{2} x)$
145523	Find Amplitude, Period, and Phase Shift	y=-2sin(2x-4)+5	$y = - 2 \sin (2 x - 4) + 5$
145524	Find Amplitude, Period, and Phase Shift	y=2sin(x/2)	$y = 2 \sin (\frac{x}{2})$
145525	Find Amplitude, Period, and Phase Shift	y=10cos(6x-1)-4	$y = 10 \cos (6 x - 1) - 4$
145526	Find the Vertical Line Through the Point	(-6,-5)	$(- 6, - 5)$
145527	Find the Slope of a Parallel Line	y=-1/3x+6	$y = - \frac{1}{3} x + 6$
145528	Find the Slope of a Parallel Line	y=7x-5	$y = 7 x - 5$
145529	Find the Slope of a Parallel Line	y=7x-1	$y = 7 x - 1$
145530	Find the Slope of a Parallel Line	y=9x-4	$y = 9 x - 4$
145531	Find the Slope of a Parallel Line	y=-3/4x-5	$y = - \frac{3}{4} x - 5$
145532	Find the Slope of a Parallel Line	y=3x-1	$y = 3 x - 1$
145533	Find the Slope of a Parallel Line	y=2x+7	$y = 2 x + 7$
145534	Find the Slope of a Parallel Line	y=2x-9	$y = 2 x - 9$
145535	Find the GCF	512m^12n^15	$512 m^{12} n^{15}$
145536	Find the Range	y=-x^2-8x-16	$y = - x^{2} - 8 x - 16$
145537	Find the Range	y=3x^2+30x+79	$y = 3 x^{2} + 30 x + 79$
145538	Find the Range	y=2x^2+12x+17	$y = 2 x^{2} + 12 x + 17$
145539	Find the Range	y=3x^2-18x+26	$y = 3 x^{2} - 18 x + 26$
145540	Find the Range	F(x)=-4cos(2x)	$F (x) = - 4 \cos (2 x)$
145541	Find the Range	y=(7x-34)/(x-5)	$y = \frac{7 x - 34}{x - 5}$
145542	Convert to an Improper Fraction	7 2/7	$7 \frac{2}{7}$
145543	Convert to an Improper Fraction	3 9/10	$3 \frac{9}{10}$
145544	Convert to an Improper Fraction	2 7/10	$2 \frac{7}{10}$
145545	Convert to an Improper Fraction	6 5/7	$6 \frac{5}{7}$
145546	Convert to an Improper Fraction	11 1/9	$11 \frac{1}{9}$
145547	Find Where Undefined/Discontinuous	(48x^5y^3)/(y^4)*(x^2y)/(6x^3y^2)	$\frac{48 x^{5} y^{3}}{y^{4}} \cdot \frac{x^{2} y}{6 x^{3} y^{2}}$
145548	Prove that a Root is on the Interval	f(x)=x-6 , (0,7)	$f (x) = x - 6$ , $(0, 7)$
145549	Determine the Nature of the Roots Using the Discriminant	x^2-2x+8=0	$x^{2} - 2 x + 8 = 0$
145550	Determine the Nature of the Roots Using the Discriminant	2x^2+8x-3=0	$2 x^{2} + 8 x - 3 = 0$
145551	Determine the Nature of the Roots Using the Discriminant	-3x^2+8x-3=0	$- 3 x^{2} + 8 x - 3 = 0$
145552	Determine the Nature of the Roots Using the Discriminant	4x^2-3x+7=0	$4 x^{2} - 3 x + 7 = 0$
145553	Determine the Nature of the Roots Using the Discriminant	4x^2-5x+1=0	$4 x^{2} - 5 x + 1 = 0$
145554	Find the Symmetry	y = square root of x-3	$y = \sqrt{x - 3}$
145555	Find the Possible Factors	256/2401	$\frac{256}{2401}$
145556	Find the Possible Factors	315	$315$
145557	Find the Possible Factors	79	$79$
145558	Divide Using Long Polynomial Division	(6x^3-29x^2+32x-14)÷(2x-7)	$(6 x^{3} - 29 x^{2} + 32 x - 14) \div (2 x - 7)$
145559	Divide Using Long Polynomial Division	(n^2-5n+4)÷(n-4)	$(n^{2} - 5 n + 4) \div (n - 4)$
145560	Find the Degree	-1/7m^7n^6	$- \frac{1}{7} m^{7} n^{6}$
145561	Divide Using Long Polynomial Division	(6x^2y+18x^2y^2-xy^2)/(6xy)	$\frac{6 x^{2} y + 18 x^{2} y^{2} - x y^{2}}{6 x y}$
145562	Divide Using Long Polynomial Division	(5x^3-13x^2-x+14)/(x-2)	$\frac{5 x^{3} - 13 x^{2} - x + 14}{x - 2}$
145563	Divide Using Long Polynomial Division	(10x^3-3x^2-7x+3)/(2x-1)	$\frac{10 x^{3} - 3 x^{2} - 7 x + 3}{2 x - 1}$
145564	Find the Degree	17	$17$
145565	Find the Degree	2x^5	$2 x^{5}$
145566	Find the Degree	3q^3r^4s^4	$3 q^{3} r^{4} s^{4}$
145567	Find the Degree	4xy^2+2x^6	$4 x y^{2} + 2 x^{6}$
145568	Find the Horizontal Line Through the Point	(4,4)	$(4, 4)$
145569	Find the Horizontal Line Through the Point	(8,2)	$(8, 2)$
145570	Evaluate Using the Given Value	f(2)=10^2	$f (2) = 10^{2}$
145571	Evaluate Using the Given Value	f(0)=(5/2)^0	$f (0) = {(\frac{5}{2})}^{0}$
145572	Evaluate Using the Given Value	2 , 401=7^(6-2x)	$2$ , $401 = 7^{6 - 2 x}$
145573	Combine	2-(x^2+10xy+7y^2)/(x^2+4xy+4y^2)	$2 - \frac{x^{2} + 10 x y + 7 y^{2}}{x^{2} + 4 x y + 4 y^{2}}$
145574	Find the End Behavior	f(x)=x^4-6x^3+9x^2	$f (x) = x^{4} - 6 x^{3} + 9 x^{2}$
145575	Find the End Behavior	h(x)=-14x-11-14x^4+10x^2-6x^7	$h (x) = - 14 x - 11 - 14 x^{4} + 10 x^{2} - 6 x^{7}$
145576	Find the End Behavior	h(x)=-e^x+3	$h (x) = - e^{x} + 3$
145577	Find the End Behavior	f(x)=2^(x-3)	$f (x) = 2^{x - 3}$
145578	Find the End Behavior	(6x^2-7x-3)/(2x^2-7x+6)	$\frac{6 x^{2} - 7 x - 3}{2 x^{2} - 7 x + 6}$
145579	Determine if True	7+5(5-3)=22	$7 + 5 (5 - 3) = 22$
145580	Determine if True	7+5(6-3)=22	$7 + 5 (6 - 3) = 22$
145581	Determine if True	(3^-15)/(3^7)=(3^-8)*(3^-9)	$\frac{3^{- 15}}{3^{7}} = (3^{- 8}) \cdot (3^{- 9})$
145582	Determine if True	9/15<4/5	$\frac{9}{15} < \frac{4}{5}$
145583	Write the Fraction in Simplest Form	1/16	$\frac{1}{16}$
145584	Write the Fraction in Simplest Form	(144^14)/(144^2)	$\frac{144^{14}}{144^{2}}$
145585	Write the Fraction in Simplest Form	3 5/6÷(7/9)	$3 \frac{5}{6} \div \frac{7}{9}$
145586	Write the Fraction in Simplest Form	(-8+ square root of -12)/40	$\frac{- 8 + \sqrt{- 12}}{40}$
145587	Expand the Trigonometric Expression	(x+1)^3	${(x + 1)}^{3}$
145588	Write with Rational (Fractional) Exponents	seventh root of 11x^2y^11	$\sqrt[7]{11 x^{2} y^{11}}$
145589	Write with Rational (Fractional) Exponents	square root of m^7	$\sqrt{m^{7}}$
145590	Write with Rational (Fractional) Exponents	fifth root of 21	$\sqrt[5]{21}$
145591	Write with Rational (Fractional) Exponents	(-27)^(-4/3)	${(- 27)}^{- \frac{4}{3}}$
145592	Expand the Trigonometric Expression	cos(90-x)	$\cos (90 - x)$
145593	Find the Maximum/Minimum Value	-(w-25)^2+625	$- {(w - 25)}^{2} + 625$
145594	Find the Maximum/Minimum Value	-2.5p^2+400p	$- 2.5 p^{2} + 400 p$
145595	Find the Maximum/Minimum Value	-5(x-8)(x+4)	$- 5 (x - 8) (x + 4)$
145596	Find the Maximum/Minimum Value	-3x^2+6x+5	$- 3 x^{2} + 6 x + 5$
145597	Find the Maximum/Minimum Value	-x^2+8x-15	$- x^{2} + 8 x - 15$
145598	Convert to Set Notation	x^2-11x+24>0	$x^{2} - 11 x + 24 > 0$
145599	Write as a Function of x	3x-6y=-6	$3 x - 6 y = - 6$
145600	Solve by Addition/Elimination	3x-4y=52x+3y=9	$3 x - 4 y = 52 x + 3 y = 9$