Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
18201	Find the Axis of Symmetry	f(x)=(x+3)^2-9	$f (x) = {(x + 3)}^{2} - 9$
18202	Find the Axis of Symmetry	f(x)=3x^2+6x-4	$f (x) = 3 x^{2} + 6 x - 4$
18203	Evaluate	(16^(3/2))^(1/2)	${(16^{\frac{3}{2}})}^{\frac{1}{2}}$
18204	Find the Axis of Symmetry	g(x)=5x^2-10x+7	$g (x) = 5 x^{2} - 10 x + 7$
18205	Subtract	x/(x^2+3x+2)-1/((x+2)(x+1))	$\frac{x}{x^{2} + 3 x + 2} - \frac{1}{(x + 2) (x + 1)}$
18206	Find the Axis of Symmetry	f(x)=x^2+14x+49	$f (x) = x^{2} + 14 x + 49$
18207	Graph	y=5/3x	$y = \frac{5}{3} x$
18208	Write in Exponential Form	log base 5 of 125=3	$\log_{5} (125) = 3$
18209	Find the Axis of Symmetry	f(x)=-3x^2-3x+1	$f (x) = - 3 x^{2} - 3 x + 1$
18210	Solve for x	11x-(6x-5)=40	$11 x - (6 x - 5) = 40$
18211	Find the Axis of Symmetry	f(x)=-2x^2+12x-3	$f (x) = - 2 x^{2} + 12 x - 3$
18212	Simplify	i^-10	$i^{- 10}$
18213	Find the Axis of Symmetry	f(x)=-x^2+2x-10	$f (x) = - x^{2} + 2 x - 10$
18214	Find the Discriminant	3x^2-10x=-2	$3 x^{2} - 10 x = - 2$
18215	Find the Function Rule	table[[x,y],[1,7],[2,14],[3,21]]	$\begin{array}{c} x & y \\ 1 & 7 \\ 2 & 14 \\ 3 & 21 \end{array}$
18216	Find the Function Rule	table[[x,y],[-3,221.86],[-2,37.71],[-1,6.41]]	$\begin{array}{c} x & y \\ - 3 & 221.86 \\ - 2 & 37.71 \\ - 1 & 6.41 \end{array}$
18217	Evaluate Using the Given Value	-7(z+4)-7 , z=3	$- 7 (z + 4) - 7$ , $z = 3$
18218	Find the Function Rule	table[[x,f(x)],[3,64],[4,256],[5,1024]]	$\begin{array}{c} x & f (x) \\ 3 & 64 \\ 4 & 256 \\ 5 & 1024 \end{array}$
18219	Graph the Interval	(negative infinity,infinity)	$(- \infty, \infty)$
18220	Solve for x	(x+3)/6=3/8+(x-5)/4	$\frac{x + 3}{6} = \frac{3}{8} + \frac{x - 5}{4}$
18221	Solve for x	3/7x+5=8	$\frac{3}{7} x + 5 = 8$
18222	Solve for x	5^x=13	$5^{x} = 13$
18223	Solve for x	5^(-x)=25	$5^{- x} = 25$
18224	Find the Center	25x^2+y^2-100x-2y+76=0	$25 x^{2} + y^{2} - 100 x - 2 y + 76 = 0$
18225	Solve for x	(5(x-9))/4=(4(x+9))/5	$\frac{5 (x - 9)}{4} = \frac{4 (x + 9)}{5}$
18226	Solve for x	log base 8 of 4=x	$\log_{8} (4) = x$
18227	Solve for x	x=2 square root of 6x-36	$x = 2 \sqrt{6 x - 36}$
18228	Find the End Behavior	h(x)=-2x^5+8x^4-2x^2+15	$h (x) = - 2 x^{5} + 8 x^{4} - 2 x^{2} + 15$
18229	Solve for x	log base 4 of x=-1	$\log_{4} (x) = - 1$
18230	Find the End Behavior	P(x)=pix^7-x^5-5x+7	$P (x) = π x^{7} - x^{5} - 5 x + 7$
18231	Solve for x	log base 4 of 7x=2	$\log_{4} (7 x) = 2$
18232	Find the End Behavior	f(x) = log of 5x-1	$f (x) = \log (5 x - 1)$
18233	Solve for x	log base 4 of 256=x	$\log_{4} (256) = x$
18234	Find the End Behavior	y=1-4x-6x^3-15x^6	$y = 1 - 4 x - 6 x^{3} - 15 x^{6}$
18235	Solve for x	log base 3 of x+1- log base 3 of x=3	$\log_{3} (x + 1) - \log_{3} (x) = 3$
18236	Find the End Behavior	3x^6+30x^5+75x^4	$3 x^{6} + 30 x^{5} + 75 x^{4}$
18237	Solve for x	e^(5x)=2	$e^{5 x} = 2$
18238	Find the End Behavior	f(x)=x^2(x-10)	$f (x) = x^{2} (x - 10)$
18239	Solve for x	e^(2x)+e^x-6=0	$e^{2 x} + e^{x} - 6 = 0$
18240	Solve for x	e^(10x-1)=(e^8)^x	$e^{10 x - 1} = {(e^{8})}^{x}$
18241	Find the End Behavior	y=-4x^3-2x+1	$y = - 4 x^{3} - 2 x + 1$
18242	Find the End Behavior	f(x)=x^2(x-5)	$f (x) = x^{2} (x - 5)$
18243	Solve for x	8^(2x)=32	$8^{2 x} = 32$
18244	Solve for x	9^x*3^(x^2)=81^2	$9^{x} \cdot 3^{x^{2}} = 81^{2}$
18245	Solve for x	9^(2x)=27	$9^{2 x} = 27$
18246	Find the End Behavior	f(x)=-4x^4-8x^3	$f (x) = - 4 x^{4} - 8 x^{3}$
18247	Solve the Matrix Equation	2x=[[4,12],[1,-4]]+[[-2,0],[3,4]]	$2 x = [\begin{array}{c} 4 & 12 \\ 1 & - 4 \end{array}] + [\begin{array}{c} - 2 & 0 \\ 3 & 4 \end{array}]$
18248	Solve for n	PV=nRt	$P V = n R t$
18249	Solve the Matrix Equation	[[1,1],[2,3]][[x],[y]]=[[8],[36]]	$[\begin{array}{c} 1 & 1 \\ 2 & 3 \end{array}] [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 8 \\ 36 \end{array}]$
18250	Simplify	( cube root of 60)/( cube root of 20)	$\frac{\sqrt[3]{60}}{\sqrt[3]{20}}$
18251	Solve the Matrix Equation	5x-[[1.5,-3.6],[-0.3,2.8]]=[[0.2,1.3],[-5.6,1.7]]	$5 x - [\begin{array}{c} 1.5 & - 3.6 \\ - 0.3 & 2.8 \end{array}] = [\begin{array}{c} 0.2 & 1.3 \\ - 5.6 & 1.7 \end{array}]$
18252	Solve for x	27^x=9	$27^{x} = 9$
18253	Solve the Matrix Equation	[[x+3y],[y]]=[[17],[x-4]]	$[\begin{array}{c} x + 3 y \\ y \end{array}] = [\begin{array}{c} 17 \\ x - 4 \end{array}]$
18254	Solve for x	2^(7-3x)=1/4	$2^{7 - 3 x} = \frac{1}{4}$
18255	Solve the Matrix Equation	[[2,-2],[-1,3]]*[[x],[y]]=[[-18],[13]]	$[\begin{array}{c} 2 & - 2 \\ - 1 & 3 \end{array}] \cdot [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} - 18 \\ 13 \end{array}]$
18256	Solve for x	square root of 6-5x=x	$\sqrt{6 - 5 x} = x$
18257	Find the LCM	y^2-9 , y^2-6y+9	$y^{2} - 9$ , $y^{2} - 6 y + 9$
18258	Find the LCM	k^2+5k , k^2+2k-15	$k^{2} + 5 k$ , $k^{2} + 2 k - 15$
18259	Solve for x	(x+10)(x-5)=(x+1)^2	$(x + 10) (x - 5) = {(x + 1)}^{2}$
18260	Find the LCM	3x+6 , x+2	$3 x + 6$ , $x + 2$
18261	Solve for x	(2/5)^x=(8/125)	${(\frac{2}{5})}^{x} = (\frac{8}{125})$
18262	Find the LCM	28 , 42	$28$ , $42$
18263	Solve for x	(1/2)^x=32	${(\frac{1}{2})}^{x} = 32$
18264	Find the LCM	160 , 4900 , 1050	$160$ , $4900$ , $1050$
18265	Solve for x	-(x-10)=7	$- (x - 10) = 7$
18266	Find the LCM	3 , 10	$3$ , $10$
18267	Find the LCM	8 , 14	$8$ , $14$
18268	Solve for x	p=-25x^2+300x	$p = - 25 x^{2} + 300 x$
18269	Find the LCM	5x+5 , x+1	$5 x + 5$ , $x + 1$
18270	Graph	y=x^2-2x-24	$y = x^{2} - 2 x - 24$
18271	Find the LCM	5/6 , 8/12 , 4/7	$\frac{5}{6}$ , $\frac{8}{12}$ , $\frac{4}{7}$
18272	Solve for t	t^(2/3)=4	$t^{\frac{2}{3}} = 4$
18273	Simplify	( square root of 96)/( square root of 8)	$\frac{\sqrt{96}}{\sqrt{8}}$
18274	Find the LCM	3x+15 , x+5	$3 x + 15$ , $x + 5$
18275	Solve for y	3y+20=3+2y	$3 y + 20 = 3 + 2 y$
18276	Find the LCM	2 , 4	$2$ , $4$
18277	Solve for d	(-3d)/(d^2-2d-8)+3/(d-4)=-2/(d+2)	$\frac{- 3 d}{d^{2} - 2 d - 8} + \frac{3}{d - 4} = \frac{- 2}{d + 2}$
18278	Reorder in Descending Order	6x^3-6x+4x^5-2	$6 x^{3} - 6 x + 4 x^{5} - 2$
18279	Determine if Linear	f(x)=(3x+2)(-6x-3)	$f (x) = (3 x + 2) (- 6 x - 3)$
18280	Solve for x	log of x=1	$\log (x) = 1$
18281	Determine if Linear	f(x)=(3x-4)(-6x+5)	$f (x) = (3 x - 4) (- 6 x + 5)$
18282	Solve for x	log of 6x-3=-4	$\log (6 x - 3) = - 4$
18283	Evaluate the Summation	sum from k=1 to 5 of 3(-5)^(k-1)	$\sum_{k = 1}^{5} 3 {(- 5)}^{k - 1}$
18284	Solve for x	x-4y=4	$x - 4 y = 4$
18285	Find the Horizontal Line Through the Point	(9,-1)	$(9, - 1)$
18286	Solve for x	(x+7)(x-2)=(x+1)^2	$(x + 7) (x - 2) = {(x + 1)}^{2}$
18287	Find the Horizontal Line Through the Point	(-7,7)	$(- 7, 7)$
18288	Solve for y	y/5+y/2=7	$\frac{y}{5} + \frac{y}{2} = 7$
18289	Solve for x	4x=12	$4 x = 12$
18290	Solve for x	3x-2y=5	$3 x - 2 y = 5$
18291	Solve for x	3x-5=7x+11	$3 x - 5 = 7 x + 11$
18292	Find the Horizontal Line Through the Point	(9,7)	$(9, 7)$
18293	Find the Horizontal Line Through the Point	(5,9)	$(5, 9)$
18294	Solve for x	3 log of x=1.5	$3 \log (x) = 1.5$
18295	Identify the Common Factors	14x^2-12x	$14 x^{2} - 12 x$
18296	Solve for x	natural log of x-4+ natural log of x+3 = natural log of x-13	$\ln (x - 4) + \ln (x + 3) = \ln (x - 13)$
18297	Solve for x	natural log of 3x=2	$\ln (3 x) = 2$
18298	Find dr/dV	V=4/3pir^3	$V = \frac{4}{3} π r^{3}$
18299	Solve for x	-8(-8x-6)=-6x-22	$- 8 (- 8 x - 6) = - 6 x - 22$
18300	Find dv/dr	v=4/3pir^3	$v = \frac{4}{3} π r^{3}$