Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
125201	Solve by Graphing	x^2+11=11	$x^{2} + 11 = 11$
125202	Solve by Graphing	sin(x)=-1	$\sin (x) = - 1$
125203	Solve by Graphing	3x^3=12x	$3 x^{3} = 12 x$
125204	Solve by Graphing	-4x-1=5^x+4	$- 4 x - 1 = 5^{x} + 4$
125205	Solve by Graphing	6x^2+31x=12	$6 x^{2} + 31 x = 12$
125206	Find the Vertex	-4x^2+8x-3	$- 4 x^{2} + 8 x - 3$
125207	Find the Vertex	(x^2)/2+4x+6	$\frac{x^{2}}{2} + 4 x + 6$
125208	Find the Vertex	-x^2-3x-3	$- x^{2} - 3 x - 3$
125209	Find the Vertex	-9.8x^2-11.2x-3.2	$- 9.8 x^{2} - 11.2 x - 3.2$
125210	Find the Vertex	2(x+2)^2-4	$2 {(x + 2)}^{2} - 4$
125211	Find the Vertex	-x^2-10x+1	$- x^{2} - 10 x + 1$
125212	Find the Vertex	-16t^2+20t+6	$- 16 t^{2} + 20 t + 6$
125213	Find the Vertex	(x^2)/2+6x+22	$\frac{x^{2}}{2} + 6 x + 22$
125214	Find the Vertex	2(x+2)^2-3	$2 {(x + 2)}^{2} - 3$
125215	Find the Vertex	-1/3x^2-2/11x+1/121	$- \frac{1}{3} x^{2} - \frac{2}{11} x + \frac{1}{121}$
125216	Find the Vertex	2x^2+4x-15	$2 x^{2} + 4 x - 15$
125217	Find the Vertex	(x+2)^2+1	${(x + 2)}^{2} + 1$
125218	Find g(f(x))	f(x)=x^2-20 , g(x)=3x-6	$f (x) = x^{2} - 20$ , $g (x) = 3 x - 6$
125219	Find f(g(x))	f(x)=5x-8 , g(x)=(x+8)/5	$f (x) = 5 x - 8$ , $g (x) = \frac{x + 8}{5}$
125220	Find f(g(x))	f(x)=1/(x^2+1) , g(x)=x^-6	$f (x) = \frac{1}{x^{2} + 1}$ , $g (x) = x^{- 6}$
125221	Find f(g(x))	f(x)=2x-7 , g(x)=(x+7)/2	$f (x) = 2 x - 7$ , $g (x) = \frac{x + 7}{2}$
125222	Find g(f(x))	f(x)=5x-8 , g(x)=(x+8)/5	$f (x) = 5 x - 8$ , $g (x) = \frac{x + 8}{5}$
125223	Find g(f(x))	f(x)=4x-3 , g(x)=x/2	$f (x) = 4 x - 3$ , $g (x) = \frac{x}{2}$
125224	Multiply the Matrices	[[0.1,0.4],[0.45,0.2]][[2],[6]]	$[\begin{array}{c} 0.1 & 0.4 \\ 0.45 & 0.2 \end{array}] [\begin{array}{c} 2 \\ 6 \end{array}]$
125225	Multiply the Matrices	-3[[8,-6],[-6,-3]]	$- 3 [\begin{array}{c} 8 & - 6 \\ - 6 & - 3 \end{array}]$
125226	Find the Other Trig Values in Quadrant IV	cot(x)<0	$\cot (x) < 0$
125227	Find the Other Trig Values in Quadrant IV	sec(x)=1	$\sec (x) = 1$
125228	Multiply the Matrices	[[-4,2],[-1,0],[3,1]][[2,1],[3,5]]	$[\begin{array}{c} - 4 & 2 \\ - 1 & 0 \\ 3 & 1 \end{array}] [\begin{array}{c} 2 & 1 \\ 3 & 5 \end{array}]$
125229	Find the Critical Points	f(x)=x^3-3x^2-72x	$f (x) = x^{3} - 3 x^{2} - 72 x$
125230	Find the Other Trig Values in Quadrant III	tan(x)=7/24	$\tan (x) = \frac{7}{24}$
125231	Find the Other Trig Values in Quadrant II	cos(x)=-( square root of 3)/5	$\cos (x) = - \frac{\sqrt{3}}{5}$
125232	Find the Other Trig Values in Quadrant II	tan(x)=-1/6	$\tan (x) = - \frac{1}{6}$
125233	Find the Other Trig Values in Quadrant II	sin(a)=5/13	$\sin (a) = \frac{5}{13}$
125234	Find the Other Trig Values in Quadrant II	cos(t)=-2/3	$\cos (t) = - \frac{2}{3}$
125235	Find the Other Trig Values in Quadrant II	sin(-( square root of 2)/2)	$\sin (- \frac{\sqrt{2}}{2})$
125236	Find the Other Trig Values in Quadrant III	tan(a)=4/3	$\tan (a) = \frac{4}{3}$
125237	Find the Other Trig Values in Quadrant I	cot(x)<0	$\cot (x) < 0$
125238	Find the Roots/Zeros Using the Rational Roots Test	h(x)=x^4-2x^3-34x^2-67x-30	$h (x) = x^{4} - 2 x^{3} - 34 x^{2} - 67 x - 30$
125239	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3+6x^2-114x-119	$f (x) = x^{3} + 6 x^{2} - 114 x - 119$
125240	Split Using Partial Fraction Decomposition	(6x^2-10x-2)/(x^3+x^2-2x)	$\frac{6 x^{2} - 10 x - 2}{x^{3} + x^{2} - 2 x}$
125241	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3+7x^2-3x-21	$f (x) = x^{3} + 7 x^{2} - 3 x - 21$
125242	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3-3x+28	$f (x) = x^{3} - 3 x + 28$
125243	Split Using Partial Fraction Decomposition	(6x-18)/((x-6)(x+1))	$\frac{6 x - 18}{(x - 6) (x + 1)}$
125244	Find the Second Derivative	f(x)=x^(1/11)	$f (x) = x^{\frac{1}{11}}$
125245	Graph Using a Table of Values	y=-6x-1	$y = - 6 x - 1$
125246	Find the Domain	(-2x-y)/6=-5	$\frac{- 2 x - y}{6} = - 5$
125247	Find the Domain	-x^2-4x-4y=-5y	$- x^{2} - 4 x - 4 y = - 5 y$
125248	Find the Domain	6x+36=0	$6 x + 36 = 0$
125249	Find the Domain	8x+32=0	$8 x + 32 = 0$
125250	Find the Domain	C=5/9F-160/9	$C = \frac{5}{9} F - \frac{160}{9}$
125251	Find the Domain	y=1/(x-10)	$y = \frac{1}{x - 10}$
125252	Find the Domain	y = square root of 25-5x	$y = \sqrt{25 - 5 x}$
125253	Find the Domain	y=-7x-2	$y = - 7 x - 2$
125254	Find the Domain	y = log of 7-2x	$y = \log (7 - 2 x)$
125255	Find the Equation Using Slope-Intercept Form	(0,5) , m=2/5	$(0, 5)$ , $m = \frac{2}{5}$
125256	Find the Equation Using Slope-Intercept Form	(0,-5) , m=1/2	$(0, - 5)$ , $m = \frac{1}{2}$
125257	Find the Equation Using Slope-Intercept Form	(0,-3) , m=3	$(0, - 3)$ , $m = 3$
125258	Find the Equation Using Slope-Intercept Form	m=0 , b=-11	$m = 0$ , $b = - 11$
125259	Find the Equation Using Slope-Intercept Form	m=-6 , b=-1/10	$m = - 6$ , $b = - \frac{1}{10}$
125260	Find the Domain	c=5/9f-160/9	$c = \frac{5}{9} f - \frac{160}{9}$
125261	Find the Equation Using Slope-Intercept Form	m=4 , b=3	$m = 4$ , $b = 3$
125262	Find the Equation Using Slope-Intercept Form	m=-6 , b=4/3	$m = - 6$ , $b = \frac{4}{3}$
125263	Find the Possible Factors	648	$648$
125264	Find the Possible Factors	-37	$- 37$
125265	Find Amplitude, Period, and Phase Shift	f(t)=-2/3cos(3t-3pi)	$f (t) = - \frac{2}{3} \cos (3 t - 3 π)$
125266	Find Amplitude, Period, and Phase Shift	f(x)=5+4cos(pi/6(x+2))	$f (x) = 5 + 4 \cos (\frac{π}{6} (x + 2))$
125267	Combine	x^2+2y^3-3x^2+1+5-4+3y^3	$x^{2} + 2 y^{3} - 3 x^{2} + 1 + 5 - 4 + 3 y^{3}$
125268	Combine	square root of 32x^3+9x square root of 2x	$\sqrt{32 x^{3}} + 9 x \sqrt{2 x}$
125269	Find the Parabola Through (-2,6) with Vertex (-3,3)	(-2,6) , (-3,3)	$(- 2, 6) (- 3, 3)$
125270	Combine	3m+4n-6n	$3 m + 4 n - 6 n$
125271	Combine	4.8+2.2w-1.4w+2.4	$4.8 + 2.2 w - 1.4 w + 2.4$
125272	Combine	5p+3p+(-9)	$5 p + 3 p + (- 9)$
125273	Combine	2xy^2-5x^2y-7xy^2+4x	$2 x y^{2} - 5 x^{2} y - 7 x y^{2} + 4 x$
125274	Combine	6g-18h	$6 g - 18 h$
125275	Apply the Quadratic Formula	x^2-12x+18	$x^{2} - 12 x + 18$
125276	Apply the Quadratic Formula	-8t^2-4t+72	$- 8 t^{2} - 4 t + 72$
125277	Apply the Quadratic Formula	18x^2+6x+1	$18 x^{2} + 6 x + 1$
125278	Apply the Quadratic Formula	2x^2+4x-4	$2 x^{2} + 4 x - 4$
125279	Apply the Quadratic Formula	-16t^2+12t+40	$- 16 t^{2} + 12 t + 40$
125280	Apply the Quadratic Formula	2x^2-10x-3	$2 x^{2} - 10 x - 3$
125281	Apply the Quadratic Formula	-16t^2+40t+5	$- 16 t^{2} + 40 t + 5$
125282	Find the Vertices	((x-2)^2)/9-((y+1)^2)/25=1	$\frac{{(x - 2)}^{2}}{9} - \frac{{(y + 1)}^{2}}{25} = 1$
125283	Rationalize the Numerator	(6+ square root of y)/10	$\frac{6 + \sqrt{y}}{10}$
125284	Determine if the Expression is a Perfect Square	36a^2	$36 a^{2}$
125285	Find the Roots/Zeros Using the Rational Roots Test	5x^4-4x^3+19x^2-16x-4	$5 x^{4} - 4 x^{3} + 19 x^{2} - 16 x - 4$
125286	Find the Roots/Zeros Using the Rational Roots Test	6x^3-47x^2+36x-7	$6 x^{3} - 47 x^{2} + 36 x - 7$
125287	Find the Roots/Zeros Using the Rational Roots Test	x^3-5x^2+5x+3	$x^{3} - 5 x^{2} + 5 x + 3$
125288	Find the Roots/Zeros Using the Rational Roots Test	x^3+6x^2-216x-221	$x^{3} + 6 x^{2} - 216 x - 221$
125289	Find the Roots/Zeros Using the Rational Roots Test	x^4+x^3-24x^2-25x-25	$x^{4} + x^{3} - 24 x^{2} - 25 x - 25$
125290	Find the Foci	16x^2+8y^2=64	$16 x^{2} + 8 y^{2} = 64$
125291	Find the Foci	3x^2+y^2+3x-21/4=0	$3 x^{2} + y^{2} + 3 x - \frac{21}{4} = 0$
125292	Find the Foci	((x-2)^2)/16-((y+3)^2)/20=1	$\frac{{(x - 2)}^{2}}{16} - \frac{{(y + 3)}^{2}}{20} = 1$
125293	Find the Foci	((x+15)^2)/676+((y-4)^2)/100=1	$\frac{{(x + 15)}^{2}}{676} + \frac{{(y - 4)}^{2}}{100} = 1$
125294	Divide Using Long Polynomial Division	(-10b+25b^2-3)/(5b-1)	$\frac{- 10 b + 25 b^{2} - 3}{5 b - 1}$
125295	Divide Using Long Polynomial Division	(50x^3+10x^2-35x-7)÷(5x-4)	$(50 x^{3} + 10 x^{2} - 35 x - 7) \div (5 x - 4)$
125296	Divide Using Long Polynomial Division	(x^2+11x+26)/(x+3)	$\frac{x^{2} + 11 x + 26}{x + 3}$
125297	Divide Using Long Polynomial Division	(x^4-1)/(x^2-1)	$\frac{(x^{4} - 1)}{(x^{2} - 1)}$
125298	Divide Using Long Polynomial Division	(8x^3+4x^2-4x-6)/(4x+2)	$\frac{8 x^{3} + 4 x^{2} - 4 x - 6}{4 x + 2}$
125299	Divide Using Long Polynomial Division	(9x^3-18x^2-x+2)÷(3x+1)	$(9 x^{3} - 18 x^{2} - x + 2) \div (3 x + 1)$
125300	Divide Using Long Polynomial Division	(n^2+11n+25)÷(n+5)	$(n^{2} + 11 n + 25) \div (n + 5)$