Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
117201	Convert to Regular Notation	4.9*10^-7	$4.9 \cdot 10^{- 7}$
117202	Combine	2x^2-5x+1+3x^2-3x-4	$2 x^{2} - 5 x + 1 + 3 x^{2} - 3 x - 4$
117203	Write in Standard Form	3x+1+2x^2	$3 x + 1 + 2 x^{2}$
117204	Write in Standard Form	8-4x^2+10x^2+2x	$8 - 4 x^{2} + 10 x^{2} + 2 x$
117205	Convert to a Simplified Fraction	-0.38	$- 0.38$
117206	Convert to a Simplified Fraction	1.562	$1.562$
117207	Convert to a Simplified Fraction	67.5%	$67.5 %$
117208	Solve by Factoring	x^3+6x^2-9x-54=0	$x^{3} + 6 x^{2} - 9 x - 54 = 0$
117209	Write in Standard Form	square root of a(2a^2-4/a)	$\sqrt{a} (2 a^{2} - \frac{4}{a})$
117210	Convert to a Percentage	0.487	$0.487$
117211	Reduce the Fraction	45/28	$\frac{45}{28}$
117212	Reduce the Fraction	120/169	$\frac{120}{169}$
117213	Reduce the Fraction	11/36	$\frac{11}{36}$
117214	Find the Slope of a Parallel Line	7x+9y=-7	$7 x + 9 y = - 7$
117215	Find the Domain	y=x(18-2x)(13-2x)	$y = x (18 - 2 x) (13 - 2 x)$
117216	Find the Expanded Form	(x+3)^2+(y+4)^2=25	${(x + 3)}^{2} + {(y + 4)}^{2} = 25$
117217	Solve by Completing the Square	x^2+6x-13=0	$x^{2} + 6 x - 13 = 0$
117218	Find the Domain and Range	y=- square root of 36-x^2	$y = - \sqrt{36 - x^{2}}$
117219	Find the Domain and Range	y = cube root of x-3	$y = \sqrt[3]{x} - 3$
117220	Find the Domain and Range	y-6=(x+1)^2	$y - 6 = {(x + 1)}^{2}$
117221	Evaluate Using Scientific Notation	(710^-5)(5*10^-8)	$(7 \cdot 10^{- 5}) \cdot (5 \cdot 10^{- 8})$
117222	Evaluate Using Scientific Notation	(810^-3)(0.0002)	$(8 \cdot 10^{- 3}) \cdot (0.0002)$
117223	Write as a Function of y	x-1=y^2	$x - 1 = y^{2}$
117224	Find the Difference Quotient	f(x)=x^2-8x+6	$f (x) = x^{2} - 8 x + 6$
117225	Convert to Logarithmic Form	10^n=y	$10^{n} = y$
117226	Convert to Logarithmic Form	(1/4)^-2=16	${(\frac{1}{4})}^{- 2} = 16$
117227	Convert to Logarithmic Form	e^a=b	$e^{a} = b$
117228	Find the Vertex Form	x=y^2+10y+22	$x = y^{2} + 10 y + 22$
117229	Identify the Zeros and Their Multiplicities	x^3-26x^2+169x	$x^{3} - 26 x^{2} + 169 x$
117230	Determine if Odd, Even, or Neither	f(x)=7x-\|7x\|	$f (x) = 7 x - \| 7 x \|$
117231	Find the Slope and y-intercept	-12x-3y=-6	$- 12 x - 3 y = - 6$
117232	Find the Slope and y-intercept	12x+3y=6	$12 x + 3 y = 6$
117233	Find the Slope and y-intercept	-12x+3y=-6	$- 12 x + 3 y = - 6$
117234	Find the Slope and y-intercept	3x-3y=18	$3 x - 3 y = 18$
117235	Find the Slope and y-intercept	2x+9y-18=0	$2 x + 9 y - 18 = 0$
117236	Find the Slope and y-intercept	4x+7y=-14	$4 x + 7 y = - 14$
117237	Find the Slope and y-intercept	y=-2/5x+3	$y = \frac{- 2}{5} x + 3$
117238	Find the Slope and y-intercept	y=3/7x	$y = \frac{3}{7} x$
117239	Find the Slope and y-intercept	y=5/6x-2	$y = \frac{5}{6} x - 2$
117240	Find the Slope and y-intercept	y=-7/5x-3	$y = - \frac{7}{5} x - 3$
117241	Find the Slope and y-intercept	2x+3y=16	$2 x + 3 y = 16$
117242	Find the Slope and y-intercept	-7x+3y=-9	$- 7 x + 3 y = - 9$
117243	Divide Using Long Polynomial Division	(4x^2-6x+1)÷(x-2)	$(4 x^{2} - 6 x + 1) \div (x - 2)$
117244	Divide Using Long Polynomial Division	(4x^4+5x-4)/(x^2-3x-2)	$\frac{(4 x^{4} + 5 x - 4)}{(x^{2} - 3 x - 2)}$
117245	Divide Using Long Polynomial Division	(9x^3-48x^2+13x+3)÷(x-5)	$(9 x^{3} - 48 x^{2} + 13 x + 3) \div (x - 5)$
117246	Find the Degree	2p^2q-3pq+q^2	$2 p^{2} q - 3 p q + q^{2}$
117247	Describe the Transformation	f(x)=6 square root of 0.2x	$f (x) = 6 \sqrt{0.2 x}$
117248	Find Amplitude, Period, and Phase Shift	y=-1/2sin(x)	$y = - \frac{1}{2} \sin (x)$
117249	Find Amplitude, Period, and Phase Shift	y=-4sin(3x+pi/2)	$y = - 4 \sin (3 x + \frac{π}{2})$
117250	Simplify/Condense	log base 6 of 9+2 log base 6 of 1/3-3 log base 6 of x	$\log_{6} (9) + 2 \log_{6} (\frac{1}{3}) - 3 \log_{6} (x)$
117251	Simplify/Condense	2 natural log of 7-3 natural log of 4	$2 \ln (7) - 3 \ln (4)$
117252	Simplify/Condense	log of 12- log of 3	$\log (12) - \log (3)$
117253	Simplify/Condense	natural log of 16- natural log of 4	$\ln (16) - \ln (4)$
117254	Find the Inverse	y = log of 10x	$y = \log (10 x)$
117255	Find the Inverse	y=(0.4)^x	$y = {(0.4)}^{x}$
117256	Find the Symmetry	f(x)=-x^2(x-4)(x+5)	$f (x) = - x^{2} (x - 4) (x + 5)$
117257	Find the GCF	16y^3z^3 , 56y^4z	$16 y^{3} z^{3}$ , $56 y^{4} z$
117258	Find the GCF	30a^2b^4 , 24ab^3	$30 a^{2} b^{4}$ , $24 a b^{3}$
117259	Write in y=mx+b Form	0.2x+0.3y=0.5	$0.2 x + 0.3 y = 0.5$
117260	Write in y=mx+b Form	8x-2y-8=0	$8 x - 2 y - 8 = 0$
117261	Write in y=mx+b Form	x-2y-5=0	$x - 2 y - 5 = 0$
117262	Write in y=mx+b Form	x/2+y/4=1	$\frac{x}{2} + \frac{y}{4} = 1$
117263	Write in y=mx+b Form	4y=3x+12	$4 y = 3 x + 12$
117264	Write in y=mx+b Form	x/4+y/3=1	$\frac{x}{4} + \frac{y}{3} = 1$
117265	Find Where Undefined/Discontinuous	(4x^2+25x+6)/(16x^2-1)*(4x^2+3x-1)/(x^2+5x-6)	$\frac{4 x^{2} + 25 x + 6}{16 x^{2} - 1} \cdot \frac{4 x^{2} + 3 x - 1}{x^{2} + 5 x - 6}$
117266	Convert to an Improper Fraction	14 1/2	$14 \frac{1}{2}$
117267	Convert to an Improper Fraction	1 5/7	$1 \frac{5}{7}$
117268	Determine if a Polynomial	-x^5+7x-1/2x^2+9	$- x^{5} + 7 x - \frac{1}{2} x^{2} + 9$
117269	Convert to an Improper Fraction	8 2/7	$8 \frac{2}{7}$
117270	Convert to an Improper Fraction	7 9/10	$7 \frac{9}{10}$
117271	Divide Using Synthetic Division	(1/3x^3-8/9x^2+8/27x-1/81)/(x-1/3)	$\frac{\frac{1}{3} x^{3} - \frac{8}{9} x^{2} + \frac{8}{27} x - \frac{1}{81}}{x - \frac{1}{3}}$
117272	Find the Maximum/Minimum Value	f(x)=-2x^2+12x	$f (x) = - 2 x^{2} + 12 x$
117273	Find the Maximum/Minimum Value	f(x)=2x^2-16x-4	$f (x) = 2 x^{2} - 16 x - 4$
117274	Find the Maximum/Minimum Value	f(x)=2x^2+10x+11	$f (x) = 2 x^{2} + 10 x + 11$
117275	Find the Maximum/Minimum Value	f(x)=20/(1+9e^(-3x))	$f (x) = \frac{20}{1 + 9 e^{- 3 x}}$
117276	Find Amplitude, Period, and Phase Shift	f(x)=1/4cos(2x)+5	$f (x) = \frac{1}{4} \cos (2 x) + 5$
117277	Find the Vertex	f(t)=-(t-2)(t-15)	$f (t) = - (t - 2) (t - 15)$
117278	Round to the Nearest Tenth	254.34	$254.34$
117279	Factor by Grouping	8m^2+30m+7	$8 m^{2} + 30 m + 7$
117280	Factor by Grouping	-r^3+27s^2-3rs+9sr^2	$- r^{3} + 27 s^{2} - 3 r s + 9 s r^{2}$
117281	Factor by Grouping	x^3+2x^2-6x-12	$x^{3} + 2 x^{2} - 6 x - 12$
117282	Factor by Grouping	10x^3-35x^2+6x-21	$10 x^{3} - 35 x^{2} + 6 x - 21$
117283	Find the Roots (Zeros)	2x^4-11x^3+18x^2-22x+28=0	$2 x^{4} - 11 x^{3} + 18 x^{2} - 22 x + 28 = 0$
117284	Find the Roots (Zeros)	x^3+x^2-3x-3=0	$x^{3} + x^{2} - 3 x - 3 = 0$
117285	Find the Roots (Zeros)	x^2+11x-80=0	$x^{2} + 11 x - 80 = 0$
117286	Convert to Scientific Notation	51 , 100	$51$ , $100$
117287	Convert to Scientific Notation	0.0061	$0.0061$
117288	Convert to Scientific Notation	0.000034	$0.000034$
117289	Convert to Scientific Notation	0.000000002	$0.\overline{0}$
117290	Find the x and y Intercepts	4x^2(x+7)^5	$4 x^{2} {(x + 7)}^{5}$
117291	Find the x and y Intercepts	(x^2+5x+6)/(x^2-9)	$\frac{x^{2} + 5 x + 6}{x^{2} - 9}$
117292	Convert from Radians to Degrees	arctan(3/2)	$\arctan (\frac{3}{2})$
117293	Solve by Substitution	x+y=3 , 2x-8y=19	$x + y = 3$ , $2 x - 8 y = 19$
117294	Find the Slope	5x-y=0	$5 x - y = 0$
117295	Find the Slope	y-x=-8	$y - x = - 8$
117296	Find the Slope	5y=1	$5 y = 1$
117297	Find the Slope	17+3y=7x	$17 + 3 y = 7 x$
117298	Solve Using the Square Root Property	(2x+4)^2=64	${(2 x + 4)}^{2} = 64$
117299	Find the Domain and Range	(3x+6)/(-6x+2)	$\frac{3 x + 6}{- 6 x + 2}$
117300	Find the Variables	[[x,4y],[z,12]]=[[18,12],[8,12]]	$[\begin{array}{c} x & 4 y \\ z & 12 \end{array}] = [\begin{array}{c} 18 & 12 \\ 8 & 12 \end{array}]$