Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
125201	Find the Vertex	2x^2+4x-15	$2 x^{2} + 4 x - 15$
125202	Find the Vertex	(x+2)^2+1	${(x + 2)}^{2} + 1$
125203	Find g(f(x))	f(x)=x^2-20 , g(x)=3x-6	$f (x) = x^{2} - 20$ , $g (x) = 3 x - 6$
125204	Find f(g(x))	f(x)=5x-8 , g(x)=(x+8)/5	$f (x) = 5 x - 8$ , $g (x) = \frac{x + 8}{5}$
125205	Find f(g(x))	f(x)=1/(x^2+1) , g(x)=x^-6	$f (x) = \frac{1}{x^{2} + 1}$ , $g (x) = x^{- 6}$
125206	Find f(g(x))	f(x)=2x-7 , g(x)=(x+7)/2	$f (x) = 2 x - 7$ , $g (x) = \frac{x + 7}{2}$
125207	Find g(f(x))	f(x)=5x-8 , g(x)=(x+8)/5	$f (x) = 5 x - 8$ , $g (x) = \frac{x + 8}{5}$
125208	Find g(f(x))	f(x)=4x-3 , g(x)=x/2	$f (x) = 4 x - 3$ , $g (x) = \frac{x}{2}$
125209	Multiply the Matrices	[[0.1,0.4],[0.45,0.2]][[2],[6]]	$[\begin{array}{c} 0.1 & 0.4 \\ 0.45 & 0.2 \end{array}] [\begin{array}{c} 2 \\ 6 \end{array}]$
125210	Multiply the Matrices	-3[[8,-6],[-6,-3]]	$- 3 [\begin{array}{c} 8 & - 6 \\ - 6 & - 3 \end{array}]$
125211	Find the Other Trig Values in Quadrant IV	cot(x)<0	$\cot (x) < 0$
125212	Find the Other Trig Values in Quadrant IV	sec(x)=1	$\sec (x) = 1$
125213	Multiply the Matrices	[[-4,2],[-1,0],[3,1]][[2,1],[3,5]]	$[\begin{array}{c} - 4 & 2 \\ - 1 & 0 \\ 3 & 1 \end{array}] [\begin{array}{c} 2 & 1 \\ 3 & 5 \end{array}]$
125214	Find the Critical Points	f(x)=x^3-3x^2-72x	$f (x) = x^{3} - 3 x^{2} - 72 x$
125215	Find the Other Trig Values in Quadrant III	tan(x)=7/24	$\tan (x) = \frac{7}{24}$
125216	Find the Other Trig Values in Quadrant II	cos(x)=-( square root of 3)/5	$\cos (x) = - \frac{\sqrt{3}}{5}$
125217	Find the Other Trig Values in Quadrant II	tan(x)=-1/6	$\tan (x) = - \frac{1}{6}$
125218	Find the Other Trig Values in Quadrant II	sin(a)=5/13	$\sin (a) = \frac{5}{13}$
125219	Find the Other Trig Values in Quadrant II	cos(t)=-2/3	$\cos (t) = - \frac{2}{3}$
125220	Find the Other Trig Values in Quadrant II	sin(-( square root of 2)/2)	$\sin (- \frac{\sqrt{2}}{2})$
125221	Find the Other Trig Values in Quadrant III	tan(a)=4/3	$\tan (a) = \frac{4}{3}$
125222	Find the Other Trig Values in Quadrant I	cot(x)<0	$\cot (x) < 0$
125223	Find the Roots/Zeros Using the Rational Roots Test	h(x)=x^4-2x^3-34x^2-67x-30	$h (x) = x^{4} - 2 x^{3} - 34 x^{2} - 67 x - 30$
125224	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3+6x^2-114x-119	$f (x) = x^{3} + 6 x^{2} - 114 x - 119$
125225	Split Using Partial Fraction Decomposition	(6x^2-10x-2)/(x^3+x^2-2x)	$\frac{6 x^{2} - 10 x - 2}{x^{3} + x^{2} - 2 x}$
125226	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3+7x^2-3x-21	$f (x) = x^{3} + 7 x^{2} - 3 x - 21$
125227	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3-3x+28	$f (x) = x^{3} - 3 x + 28$
125228	Split Using Partial Fraction Decomposition	(6x-18)/((x-6)(x+1))	$\frac{6 x - 18}{(x - 6) (x + 1)}$
125229	Find the Second Derivative	f(x)=x^(1/11)	$f (x) = x^{\frac{1}{11}}$
125230	Graph Using a Table of Values	y=-6x-1	$y = - 6 x - 1$
125231	Find the Domain	(-2x-y)/6=-5	$\frac{- 2 x - y}{6} = - 5$
125232	Find the Domain	-x^2-4x-4y=-5y	$- x^{2} - 4 x - 4 y = - 5 y$
125233	Find the Domain	6x+36=0	$6 x + 36 = 0$
125234	Find the Domain	8x+32=0	$8 x + 32 = 0$
125235	Find the Domain	C=5/9F-160/9	$C = \frac{5}{9} F - \frac{160}{9}$
125236	Find the Domain	y=1/(x-10)	$y = \frac{1}{x - 10}$
125237	Find the Domain	y = square root of 25-5x	$y = \sqrt{25 - 5 x}$
125238	Find the Domain	y=-7x-2	$y = - 7 x - 2$
125239	Find the Domain	y = log of 7-2x	$y = \log (7 - 2 x)$
125240	Find the Equation Using Slope-Intercept Form	(0,5) , m=2/5	$(0, 5)$ , $m = \frac{2}{5}$
125241	Find the Equation Using Slope-Intercept Form	(0,-5) , m=1/2	$(0, - 5)$ , $m = \frac{1}{2}$
125242	Find the Equation Using Slope-Intercept Form	(0,-3) , m=3	$(0, - 3)$ , $m = 3$
125243	Find the Equation Using Slope-Intercept Form	m=0 , b=-11	$m = 0$ , $b = - 11$
125244	Find the Equation Using Slope-Intercept Form	m=-6 , b=-1/10	$m = - 6$ , $b = - \frac{1}{10}$
125245	Find the Domain	c=5/9f-160/9	$c = \frac{5}{9} f - \frac{160}{9}$
125246	Find the Equation Using Slope-Intercept Form	m=4 , b=3	$m = 4$ , $b = 3$
125247	Find the Equation Using Slope-Intercept Form	m=-6 , b=4/3	$m = - 6$ , $b = \frac{4}{3}$
125248	Find the Possible Factors	648	$648$
125249	Find the Possible Factors	-37	$- 37$
125250	Find Amplitude, Period, and Phase Shift	f(t)=-2/3cos(3t-3pi)	$f (t) = - \frac{2}{3} \cos (3 t - 3 π)$
125251	Find Amplitude, Period, and Phase Shift	f(x)=5+4cos(pi/6(x+2))	$f (x) = 5 + 4 \cos (\frac{π}{6} (x + 2))$
125252	Combine	x^2+2y^3-3x^2+1+5-4+3y^3	$x^{2} + 2 y^{3} - 3 x^{2} + 1 + 5 - 4 + 3 y^{3}$
125253	Combine	square root of 32x^3+9x square root of 2x	$\sqrt{32 x^{3}} + 9 x \sqrt{2 x}$
125254	Find the Parabola Through (-2,6) with Vertex (-3,3)	(-2,6) , (-3,3)	$(- 2, 6) (- 3, 3)$
125255	Combine	3m+4n-6n	$3 m + 4 n - 6 n$
125256	Combine	4.8+2.2w-1.4w+2.4	$4.8 + 2.2 w - 1.4 w + 2.4$
125257	Combine	5p+3p+(-9)	$5 p + 3 p + (- 9)$
125258	Combine	2xy^2-5x^2y-7xy^2+4x	$2 x y^{2} - 5 x^{2} y - 7 x y^{2} + 4 x$
125259	Combine	6g-18h	$6 g - 18 h$
125260	Apply the Quadratic Formula	x^2-12x+18	$x^{2} - 12 x + 18$
125261	Apply the Quadratic Formula	-8t^2-4t+72	$- 8 t^{2} - 4 t + 72$
125262	Apply the Quadratic Formula	18x^2+6x+1	$18 x^{2} + 6 x + 1$
125263	Apply the Quadratic Formula	2x^2+4x-4	$2 x^{2} + 4 x - 4$
125264	Apply the Quadratic Formula	-16t^2+12t+40	$- 16 t^{2} + 12 t + 40$
125265	Apply the Quadratic Formula	2x^2-10x-3	$2 x^{2} - 10 x - 3$
125266	Apply the Quadratic Formula	-16t^2+40t+5	$- 16 t^{2} + 40 t + 5$
125267	Find the Vertices	((x-2)^2)/9-((y+1)^2)/25=1	$\frac{{(x - 2)}^{2}}{9} - \frac{{(y + 1)}^{2}}{25} = 1$
125268	Rationalize the Numerator	(6+ square root of y)/10	$\frac{6 + \sqrt{y}}{10}$
125269	Determine if the Expression is a Perfect Square	36a^2	$36 a^{2}$
125270	Find the Roots/Zeros Using the Rational Roots Test	5x^4-4x^3+19x^2-16x-4	$5 x^{4} - 4 x^{3} + 19 x^{2} - 16 x - 4$
125271	Find the Roots/Zeros Using the Rational Roots Test	6x^3-47x^2+36x-7	$6 x^{3} - 47 x^{2} + 36 x - 7$
125272	Find the Roots/Zeros Using the Rational Roots Test	x^3-5x^2+5x+3	$x^{3} - 5 x^{2} + 5 x + 3$
125273	Find the Roots/Zeros Using the Rational Roots Test	x^3+6x^2-216x-221	$x^{3} + 6 x^{2} - 216 x - 221$
125274	Find the Roots/Zeros Using the Rational Roots Test	x^4+x^3-24x^2-25x-25	$x^{4} + x^{3} - 24 x^{2} - 25 x - 25$
125275	Find the Foci	16x^2+8y^2=64	$16 x^{2} + 8 y^{2} = 64$
125276	Find the Foci	3x^2+y^2+3x-21/4=0	$3 x^{2} + y^{2} + 3 x - \frac{21}{4} = 0$
125277	Find the Foci	((x-2)^2)/16-((y+3)^2)/20=1	$\frac{{(x - 2)}^{2}}{16} - \frac{{(y + 3)}^{2}}{20} = 1$
125278	Find the Foci	((x+15)^2)/676+((y-4)^2)/100=1	$\frac{{(x + 15)}^{2}}{676} + \frac{{(y - 4)}^{2}}{100} = 1$
125279	Divide Using Long Polynomial Division	(-10b+25b^2-3)/(5b-1)	$\frac{- 10 b + 25 b^{2} - 3}{5 b - 1}$
125280	Divide Using Long Polynomial Division	(50x^3+10x^2-35x-7)÷(5x-4)	$(50 x^{3} + 10 x^{2} - 35 x - 7) \div (5 x - 4)$
125281	Divide Using Long Polynomial Division	(x^2+11x+26)/(x+3)	$\frac{x^{2} + 11 x + 26}{x + 3}$
125282	Divide Using Long Polynomial Division	(x^4-1)/(x^2-1)	$\frac{(x^{4} - 1)}{(x^{2} - 1)}$
125283	Divide Using Long Polynomial Division	(8x^3+4x^2-4x-6)/(4x+2)	$\frac{8 x^{3} + 4 x^{2} - 4 x - 6}{4 x + 2}$
125284	Divide Using Long Polynomial Division	(9x^3-18x^2-x+2)÷(3x+1)	$(9 x^{3} - 18 x^{2} - x + 2) \div (3 x + 1)$
125285	Divide Using Long Polynomial Division	(n^2+11n+25)÷(n+5)	$(n^{2} + 11 n + 25) \div (n + 5)$
125286	Divide Using Long Polynomial Division	(x^2-8x+7)÷(x-1)	$(x^{2} - 8 x + 7) \div (x - 1)$
125287	Divide Using Long Polynomial Division	(x^3-216)/(x+6)	$\frac{x^{3} - 216}{x + 6}$
125288	Divide Using Long Polynomial Division	(m^3-12m^2+33m)÷(m-5)	$(m^{3} - 12 m^{2} + 33 m) \div (m - 5)$
125289	Divide Using Long Polynomial Division	(4x^4+2x^3-9x^2-36)÷(x^2+x-4)	$(4 x^{4} + 2 x^{3} - 9 x^{2} - 36) \div (x^{2} + x - 4)$
125290	Divide Using Long Polynomial Division	(x^2+9x+23)/(x+3)	$\frac{x^{2} + 9 x + 23}{x + 3}$
125291	Divide Using Long Polynomial Division	(9x^2-41x-6)÷(x-4)	$(9 x^{2} - 41 x - 6) \div (x - 4)$
125292	Divide Using Long Polynomial Division	(2r^3+5r^2-2r-15)÷(2r-3)	$(2 r^{3} + 5 r^{2} - 2 r - 15) \div (2 r - 3)$
125293	Divide Using Long Polynomial Division	(125-8x^3)÷(25+10x+4x^2)	$(125 - 8 x^{3}) \div (25 + 10 x + 4 x^{2})$
125294	Divide Using Long Polynomial Division	(64x^3+8)÷(4x+2)	$(64 x^{3} + 8) \div (4 x + 2)$
125295	Divide Using Long Polynomial Division	(8x^3-10x^2+9x-10)÷(2x-1)	$(8 x^{3} - 10 x^{2} + 9 x - 10) \div (2 x - 1)$
125296	Divide Using Long Polynomial Division	(100x-10000)÷(x-140)	$(100 x - 10000) \div (x - 140)$
125297	Divide Using Long Polynomial Division	(x^3-2x^2-5x-2)÷(x+1)	$(x^{3} - 2 x^{2} - 5 x - 2) \div (x + 1)$
125298	Divide Using Long Polynomial Division	(-60x^2+8x^4-108)÷(2x-6)	$(- 60 x^{2} + 8 x^{4} - 108) \div (2 x - 6)$
125299	Divide Using Long Polynomial Division	(2x^3+6x+152)/(x+4)	$\frac{2 x^{3} + 6 x + 152}{x + 4}$
125300	Find the Reference Angle	-pi/9	$- \frac{π}{9}$