Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
122201	Find the Vertex	-9x^2-18x-1	$- 9 x^{2} - 18 x - 1$
122202	Find the Vertex	-x^2-2x-4	$- x^{2} - 2 x - 4$
122203	Find the Vertex	-4x^2-12x+8	$- 4 x^{2} - 12 x + 8$
122204	Find the Vertex	x-1/4x^2	$x - \frac{1}{4} x^{2}$
122205	Find the Vertex	-x^2-10x-26	$- x^{2} - 10 x - 26$
122206	Graph the Interval	(negative infinity,3) union (3,infinity)	$(- \infty, 3) \cup (3, \infty)$
122207	Solve by Graphing	x-6cos(x)=0	$x - 6 \cos (x) = 0$
122208	Solve by Graphing	2x+4=8x-4	$2 x + 4 = 8 x - 4$
122209	Find the Vertex	-5(x-8)(x+4)	$- 5 (x - 8) (x + 4)$
122210	Solve by Graphing	1/6x^2-6=0	$\frac{1}{6} x^{2} - 6 = 0$
122211	Solve by Graphing	4x^2-3x-6=-x^2+5x+3	$4 x^{2} - 3 x - 6 = - x^{2} + 5 x + 3$
122212	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-6x^2+3	$f (x) = x^{3} - 6 x^{2} + 3$
122213	Find Where Increasing/Decreasing Using Derivatives	f(x) = square root of 64-x^2	$f (x) = \sqrt{64 - x^{2}}$
122214	Expand Using Sum/Difference Formulas	sin(-165)	$\sin (- 165)$
122215	Expand Using Sum/Difference Formulas	cos(30-45)	$\cos (30 - 45)$
122216	Find the Equation Using Slope-Intercept Form	m=5 , b=2	$m = 5$ , $b = 2$
122217	Find the Equation Using Slope-Intercept Form	m=-3/4 , b=1/2	$m = - \frac{3}{4}$ , $b = \frac{1}{2}$
122218	Find the Equation Using Slope-Intercept Form	(0,3) , m=4	$(0, 3)$ , $m = 4$
122219	Find the Domain	y=( square root of x-2)/(2x+3)	$y = \frac{\sqrt{x - 2}}{2 x + 3}$
122220	Find the Domain	y = square root of 2x+3	$y = \sqrt{2 x + 3}$
122221	Find the Domain	y = square root of 7x-1	$y = \sqrt{7 x - 1}$
122222	Multiply the Matrices	[[5,3,5],[1,5,0]]*[[-4,2],[-3,4],[3,-5]]	$[\begin{array}{c} 5 & 3 & 5 \\ 1 & 5 & 0 \end{array}] \cdot [\begin{array}{c} - 4 & 2 \\ - 3 & 4 \\ 3 & - 5 \end{array}]$
122223	Find the Difference Quotient	f(x)=-x^2-3x+1	$f (x) = - x^{2} - 3 x + 1$
122224	Find the Difference Quotient	f(x)=4/(x-8)	$f (x) = \frac{4}{x - 8}$
122225	Find the Difference Quotient	f(x)=4/(x-6)	$f (x) = \frac{4}{x - 6}$
122226	Find the Difference Quotient	f(x)=4x^2-3x+5	$f (x) = 4 x^{2} - 3 x + 5$
122227	Find the Difference Quotient	f(x)=2x^2+3x-1	$f (x) = 2 x^{2} + 3 x - 1$
122228	Find the Difference Quotient	f(x)=5/(x-8)	$f (x) = \frac{5}{x - 8}$
122229	Find the Vertex Form	y=-3x^2-x-8	$y = - 3 x^{2} - x - 8$
122230	Find the Vertex Form	y=-2x^2+6x-2	$y = - 2 x^{2} + 6 x - 2$
122231	Find the Vertex Form	y=x^2-16x+57	$y = x^{2} - 16 x + 57$
122232	Find the Vertex Form	y=x^2-20x+104	$y = x^{2} - 20 x + 104$
122233	Find the Vertex Form	y=2x^2-5x+11	$y = 2 x^{2} - 5 x + 11$
122234	Find the Vertex Form	y=3x^2-18x+26	$y = 3 x^{2} - 18 x + 26$
122235	Find the Vertex Form	y=5x^2-40x+67	$y = 5 x^{2} - 40 x + 67$
122236	Find the Vertex Form	y=2x^2-28x+94	$y = 2 x^{2} - 28 x + 94$
122237	Find the Vertex Form	y=3x^2+24x+43	$y = 3 x^{2} + 24 x + 43$
122238	Find All Complex Solutions	14x^2+9x+10=0	$14 x^{2} + 9 x + 10 = 0$
122239	Find All Complex Solutions	x^4+8x^3+6x^2-5x+14=0	$x^{4} + 8 x^{3} + 6 x^{2} - 5 x + 14 = 0$
122240	Find All Complex Solutions	x^4-7x^2-144=0	$x^{4} - 7 x^{2} - 144 = 0$
122241	Find All Complex Solutions	4/5x^2=2x-4/5	$\frac{4}{5} x^{2} = 2 x - \frac{4}{5}$
122242	Find All Complex Solutions	x^2+3x-4=6	$x^{2} + 3 x - 4 = 6$
122243	Find All Complex Solutions	(x-5)^4=256	${(x - 5)}^{4} = 256$
122244	Find All Complex Solutions	-3x^2+6x-11=0	$- 3 x^{2} + 6 x - 11 = 0$
122245	Find All Complex Solutions	-2x^2-5x+4=0	$- 2 x^{2} - 5 x + 4 = 0$
122246	Round to the Nearest Hundredth	0.94117647	$0.94117647$
122247	Round to the Nearest Hundredth	37.68	$37.68$
122248	Round to the Nearest Hundredth	4.89897948	$4.89897948$
122249	Round to the Nearest Hundredth	3052.08	$3052.08$
122250	Round to the Nearest Hundredth	8.478	$8.478$
122251	Round to the Nearest Hundredth	1.681	$1.681$
122252	Find the Symmetry	x^2(x-3)^3(x+2)	$x^{2} {(x - 3)}^{3} (x + 2)$
122253	Find the Symmetry	(4x)/(x^2-16)	$\frac{4 x}{x^{2} - 16}$
122254	Expand Using Pascal's Triangle	(q+r)^6	${(q + r)}^{6}$
122255	Expand Using Pascal's Triangle	(y+z)^6	${(y + z)}^{6}$
122256	Find the LCD	3/s-3/(6s)	$\frac{3}{s} \frac{- 3}{6 s}$
122257	Find the LCD	4/(7x^2)+12/(10x)	$\frac{4}{7 x^{2}} + \frac{12}{10 x}$
122258	Find the Parallel Line	4x-9y=5 (-4,2)	$4 x - 9 y = 5$ $(- 4, 2)$
122259	Plot	y>=1/3x+4	$y \geq \frac{1}{3} x + 4$
122260	Write as a Function of x	x+y=81	$x + y = 81$
122261	Write as a Function of x	8x+\|y\|=0	$8 x + \| y \| = 0$
122262	Write as a Function of x	y^4=3x^2+2x	$y^{4} = 3 x^{2} + 2 x$
122263	Write as a Function of x	x^2-kx+36=0	$x^{2} - k x + 36 = 0$
122264	Write as a Function of x	x^2-y=-3x-2y	$x^{2} - y = - 3 x - 2 y$
122265	Write as a Function of x	-3x+5y=-2x-5y	$- 3 x + 5 y = - 2 x - 5 y$
122266	Write as a Function of x	(-3x-4y)/3=-3	$\frac{- 3 x - 4 y}{3} = - 3$
122267	Write as a Function of y	x=1/4y	$x = \frac{1}{4} y$
122268	Write as a Function of y	(-2x-y)/2=-3	$\frac{- 2 x - y}{2} = - 3$
122269	Write as a Function of y	8x+\|y\|=0	$8 x + \| y \| = 0$
122270	Write as a Function of y	x+y=81	$x + y = 81$
122271	Write as a Function of k	x^2-kx+81=0	$x^{2} - k x + 81 = 0$
122272	Write as a Function of T2	(P_1V_1)/T_1=(P_2V_2)/T_2	$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$
122273	Write as a Function of T1	(P_1V_1)/T_1=(P_2V_2)/T_2	$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$
122274	Evaluate Using Scientific Notation	(610^4)(4.810^2)	$(6 \cdot 10^{4}) (4.8 \cdot 10^{2})$
122275	Evaluate Using Scientific Notation	(7.29610^2)÷9.610^-9	$7.296 \cdot 10^{2} \div 9.6 \cdot 10^{- 9}$
122276	Evaluate Using Scientific Notation	(1.24810^-2)÷7.810^-7	$1.248 \cdot 10^{- 2} \div 7.8 \cdot 10^{- 7}$
122277	Evaluate Using Scientific Notation	0.00065/(5*10^-2)	$\frac{0.00065}{5 \cdot 10^{- 2}}$
122278	Find the Maximum/Minimum Value	100x-0.5x^2	$100 x - 0.5 x^{2}$
122279	Find the Maximum/Minimum Value	100x^2-1800x	$100 x^{2} - 1800 x$
122280	Find the Maximum/Minimum Value	-0.001x^2+3x-1800	$- 0.001 x^{2} + 3 x - 1800$
122281	Find the Maximum/Minimum Value	2x^2-8x-6	$2 x^{2} - 8 x - 6$
122282	Find the Maximum/Minimum Value	3x^2+24x-1	$3 x^{2} + 24 x - 1$
122283	Find the Maximum/Minimum Value	2x^2-4x-9	$2 x^{2} - 4 x - 9$
122284	Round to the Nearest Tenth	0.92307692	$0.92307692$
122285	Round to the Nearest Tenth	0.863	$0.863$
122286	Round to the Nearest Tenth	9.83	$9.83$
122287	Round to the Nearest Tenth	62.8	$62.8$
122288	Round to the Nearest Tenth	3.26	$3.26$
122289	Round to the Nearest Tenth	3.27	$3.27$
122290	Complete the Square	y^2+24y	$y^{2} + 24 y$
122291	Complete the Square	z^2+12z+	$z^{2} + 12 z +$
122292	Find the Degree	4x^12-7x^5y^9+x^10y-5x^8y^7	$4 x^{12} - 7 x^{5} y^{9} + x^{10} y - 5 x^{8} y^{7}$
122293	Find the Degree	-2x^4	$- 2 x^{4}$
122294	Find the Degree	4xy-11y-3	$4 x y - 11 y - 3$
122295	Find the Degree	5a^3b^5+13a^7b^2-6a^9b^2	$5 a^{3} b^{5} + 13 a^{7} b^{2} - 6 a^{9} b^{2}$
122296	Find the Degree	7x^2y	$7 x^{2} y$
122297	Find the Degree	w^2y^5	$w^{2} y^{5}$
122298	Divide Using Long Polynomial Division	(2x^2+x-7)/(x-5)	$\frac{(2 x^{2} + x - 7)}{(x - 5)}$
122299	Divide Using Long Polynomial Division	(4x^5-11x^4+15x^3-19x^2+3x+12)/(4x^2-3x-3)	$\frac{4 x^{5} - 11 x^{4} + 15 x^{3} - 19 x^{2} + 3 x + 12}{4 x^{2} - 3 x - 3}$
122300	Divide Using Long Polynomial Division	(15x^4+9x^3+8x^2)/(3x^2+1)	$\frac{15 x^{4} + 9 x^{3} + 8 x^{2}}{3 x^{2} + 1}$