Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
117401	Find the Vertex	k(x)=x^2+5x+6	$k (x) = x^{2} + 5 x + 6$
117402	Find the Maximum/Minimum Value	f(x)=-(x^2)/3+2x+7	$f (x) = - \frac{x^{2}}{3} + 2 x + 7$
117403	Find the Maximum/Minimum Value	f(x)=2x^2+14x+22	$f (x) = 2 x^{2} + 14 x + 22$
117404	Find the Maximum/Minimum Value	f(x)=-2x^2+12x-22	$f (x) = - 2 x^{2} + 12 x - 22$
117405	Find the Maximum/Minimum Value	h(t)=-4.9t^2+29.4t+1	$h (t) = - 4.9 t^{2} + 29.4 t + 1$
117406	Find the Maximum/Minimum Value	f(x)=3x^2-24x-8	$f (x) = 3 x^{2} - 24 x - 8$
117407	Find the Maximum/Minimum Value	f(x)=-0.1x^2+0.8x+7	$f (x) = - 0.1 x^{2} + 0.8 x + 7$
117408	Divide Using Synthetic Division	(x^2-74)÷(x-8)	$(x^{2} - 74) \div (x - 8)$
117409	Divide Using Synthetic Division	(2x^3+7x^2-5)/(x+3)	$\frac{2 x^{3} + 7 x^{2} - 5}{x + 3}$
117410	Complete the Square	x^2-x+	$x^{2} - x +$
117411	Find the Discriminant	2x^2=8x+5	$2 x^{2} = 8 x + 5$
117412	Find the Roots (Zeros)	x^4-5x^3+11x^2-25x+30=0	$x^{4} - 5 x^{3} + 11 x^{2} - 25 x + 30 = 0$
117413	Find the Roots (Zeros)	x^4-4x^3-2x^2+12x+9=0	$x^{4} - 4 x^{3} - 2 x^{2} + 12 x + 9 = 0$
117414	Find All Complex Solutions	6x^2-6x-2=0	$6 x^{2} - 6 x - 2 = 0$
117415	Factor by Grouping	7x^2-7x+2xy-2y	$7 x^{2} - 7 x + 2 x y - 2 y$
117416	Factor by Grouping	12x^5+6x^2-18	$12 x^{5} + 6 x^{2} - 18$
117417	Find the Behavior (Leading Coefficient Test)	f(x)=x^2(x-4)^3(x+5)	$f (x) = x^{2} {(x - 4)}^{3} (x + 5)$
117418	Rationalize the Denominator	( square root of 27- square root of 7)/( square root of 21-3)	$\frac{\sqrt{27} - \sqrt{7}}{\sqrt{21} - 3}$
117419	Rationalize the Denominator	3/(7+3 square root of 2)	$\frac{3}{7 + 3 \sqrt{2}}$
117420	Rationalize the Denominator	(4 square root of 5+ square root of 10)/(8 square root of 5- square root of 10)	$\frac{4 \sqrt{5} + \sqrt{10}}{8 \sqrt{5} - \sqrt{10}}$
117421	Find the Symmetry	x^2y^2+xy=1	$x^{2} y^{2} + x y = 1$
117422	Convert to Scientific Notation	91 , 910 , 0	$91$ , $910$ , $0$
117423	Convert to Scientific Notation	0.0018	$0.0018$
117424	Convert to Scientific Notation	26 , 0 , 0	$26$ , $0$ , $0$
117425	Find the x and y Intercepts	4x^2-24x+31	$4 x^{2} - 24 x + 31$
117426	Find the Perfect Square Trinomial	k^2-5k+c	$k^{2} - 5 k + c$
117427	Solve Using the Square Root Property	2(x+6)^2=24	$2 {(x + 6)}^{2} = 24$
117428	Solve Using the Square Root Property	5(x+1)^2=90	$5 {(x + 1)}^{2} = 90$
117429	Solve Using the Square Root Property	2(x+6)^2=40	$2 {(x + 6)}^{2} = 40$
117430	Solve Using the Square Root Property	2(x+8)^2=36	$2 {(x + 8)}^{2} = 36$
117431	Find the Slope	9x-3y=18	$9 x - 3 y = 18$
117432	Find the Slope	4y=14	$4 y = 14$
117433	Find the Slope	7y=12	$7 y = 12$
117434	Find the Slope	8y=8	$8 y = 8$
117435	Find the Slope	4x-8y=5	$4 x - 8 y = 5$
117436	Find the Slope	7x-8y=-5	$7 x - 8 y = - 5$
117437	Identify the Sequence	3 , 8 , 13 , 18 , 23	$3$ , $8$ , $13$ , $18$ , $23$
117438	Find the Slope	3x-5y=1	$3 x - 5 y = 1$
117439	Convert from Radians to Degrees	arccos(4/5)	$\arccos (\frac{4}{5})$
117440	Convert from Radians to Degrees	arctan(2)	$\tan^{-1} (2)$
117441	Determine if Odd, Even, or Neither	f(x)=\|x\|x	$f (x) = \| x \| x$
117442	Find the Domain and Range	natural log of x+7	$\ln (x + 7)$
117443	Find the Domain and Range	log base 4 of x-3	$\log_{4} (x - 3)$
117444	Find the Domain and Range	- square root of x+3	$- \sqrt{x + 3}$
117445	Convert to Regular Notation	4.1*10^5	$4.1 \cdot 10^{5}$
117446	Write in Standard Form	(7g+2)(5g+4)	$(7 g + 2) (5 g + 4)$
117447	Write in Standard Form	(10-15i)/(1-2i)	$\frac{10 - 15 i}{1 - 2 i}$
117448	Write in Standard Form	(1-4i)/(5+2i)	$\frac{1 - 4 i}{5 + 2 i}$
117449	Write in Standard Form	(-f+10)(3f-1)	$(- f + 10) (3 f - 1)$
117450	Write in Standard Form	(5h^3-8h)+(-2h^3-h^2-2h)	$(5 h^{3} - 8 h) + (- 2 h^{3} - h^{2} - 2 h)$
117451	Convert to a Simplified Fraction	72.5%	$72.5 %$
117452	Convert to a Simplified Fraction	0.919191	$0.919191$
117453	Convert to a Simplified Fraction	0.562	$0.562$
117454	Solve by Factoring	x^2+61=1-17x	$x^{2} + 61 = 1 - 17 x$
117455	Solve by Factoring	80x^4=10x	$80 x^{4} = 10 x$
117456	Solve by Factoring	x^3-9x^2-81x+729=0	$x^{3} - 9 x^{2} - 81 x + 729 = 0$
117457	Write in Standard Form	5y-2y^2	$5 y - 2 y^{2}$
117458	Write in Standard Form	6(-3m)^4	$6 {(- 3 m)}^{4}$
117459	Convert to a Simplified Fraction	0.975	$0.975$
117460	Convert from Degrees to Radians	arcsin(0.2)	$\arcsin (0.2)$
117461	Find the Distance Between Two Points	(0,-3) , (5,2)	$(0, - 3) (5, 2)$
117462	Find the Distance Between Two Points	(0,-2) , (4,2)	$(0, - 2) (4, 2)$
117463	Determine if Rational	-16pi	$- 16 π$
117464	Reduce the Fraction	48/50	$\frac{48}{50}$
117465	Reduce the Fraction	210/360	$\frac{210}{360}$
117466	Divide Using Long Polynomial Division	(2p^2+7p-39)÷(2p-7)	$(2 p^{2} + 7 p - 39) \div (2 p - 7)$
117467	Find the LCD	3/(x^2-4x-32) , -2/(x^2-81)	$\frac{3}{x^{2} - 4 x - 32}$ , $\frac{- 2}{x^{2} - 81}$
117468	Solve by Completing the Square	5n^2-4n-10=15	$5 n^{2} - 4 n - 10 = 15$
117469	Find Three Ordered Pair Solutions	a(x)=x^2+7x+12	$a (x) = x^{2} + 7 x + 12$
117470	Find the Difference Quotient	F(x)=9x^3	$F (x) = 9 x^{3}$
117471	Find the Difference Quotient	f(x)=x^2-9x+9	$f (x) = x^{2} - 9 x + 9$
117472	Convert to Logarithmic Form	4*2^(-t/5)=288	$4 \cdot 2^{- \frac{t}{5}} = 288$
117473	Find the Difference Quotient	f(x)=9x^3	$f (x) = 9 x^{3}$
117474	Find the Domain and Range	y = square root of x-12	$y = \sqrt{x - 12}$
117475	Find the Domain and Range	x=y^9	$x = y^{9}$
117476	Find the Domain and Range	y=-3sec(x)	$y = - 3 \sec (x)$
117477	Find the Vertex	y=-(x-1)^2-1	$y = - {(x - 1)}^{2} - 1$
117478	Find the Vertex	y=5x^2+20x+6	$y = 5 x^{2} + 20 x + 6$
117479	Find the Vertex	y=x^2+10x-3	$y = x^{2} + 10 x - 3$
117480	Identify the Zeros and Their Multiplicities	y=(2x+5)(x-3)^2	$y = (2 x + 5) {(x - 3)}^{2}$
117481	Calculate the Square Root	4096	$4096$
117482	Find the End Behavior	g(x)=-3x^4+2x^3-x^2+4	$g (x) = - 3 x^{4} + 2 x^{3} - x^{2} + 4$
117483	Find the LCM	9x^2-16 , 3x^2+x-4	$9 x^{2} - 16$ , $3 x^{2} + x - 4$
117484	Expand Using Sum/Difference Formulas	tan((17pi)/12)	$\tan (\frac{17 π}{12})$
117485	Graph the Interval	[1,infinity)	$[1, \infty)$
117486	Find the Vertex	4x^2-24x+31	$4 x^{2} - 24 x + 31$
117487	Find the Asymptotes	y=tan(x+pi/6)	$y = \tan (x + \frac{π}{6})$
117488	Describe the Transformation	h(x)=\|x-7\|	$h (x) = \| x - 7 \|$
117489	Find the Discriminant	6x^2+11x+5=0	$6 x^{2} + 11 x + 5 = 0$
117490	Find the Discriminant	4a^2=8a-4	$4 a^{2} = 8 a - 4$
117491	Simplify/Condense	1- log of 4	$1 - \log (4)$
117492	Simplify/Condense	1/2( log base 5 of x+ log base 5 of y)-2 log base 5 of x+1	$\frac{1}{2} (\log_{5} (x) + \log_{5} (y)) - 2 \log_{5} (x + 1)$
117493	Simplify/Condense	log base 2 of 625- log base 2 of 125+1/3 log base 2 of 27	$\log_{2} (625) - \log_{2} (125) + \frac{1}{3} \log_{2} (27)$
117494	Simplify/Condense	1/6 natural log of x+ natural log of y	$\frac{1}{6} \ln (x) + \ln (y)$
117495	Find the Inverse	y = log of 1/3x	$y = \log (\frac{1}{3} x)$
117496	Find the Symmetry	f(x)=(x^2+4x-45)/(x^2-9)	$f (x) = \frac{x^{2} + 4 x - 45}{x^{2} - 9}$
117497	Find the GCF	14ab^2 , 42bc^3 , 18a^2c	$14 a b^{2}$ , $42 b c^{3}$ , $18 a^{2} c$
117498	Simplify/Condense	3 natural log of x-5 natural log of y	$3 \ln (x) - 5 \ln (y)$
117499	Simplify/Condense	1/6 natural log of y+ natural log of z	$\frac{1}{6} \ln (y) + \ln (z)$
117500	Determine if True	9(-5)-2*-3=17	$9 (- 5) - 2 \cdot - 3 = 17$