Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
133301	Round to the Nearest Hundredth	13.45	$13.45$
133302	Round to the Nearest Hundredth	11.66	$11.66$
133303	Convert to a Decimal	square root of 256	$\sqrt{256}$
133304	Find the Symmetry	3x^2-x^3	$3 x^{2} - x^{3}$
133305	Split Using Partial Fraction Decomposition	1/(x(x+1))	$\frac{1}{x (x + 1)}$
133306	Split Using Partial Fraction Decomposition	(2x^2)/((x-4)^2(x+4)^2)	$\frac{2 x^{2}}{{(x - 4)}^{2} {(x + 4)}^{2}}$
133307	Split Using Partial Fraction Decomposition	(3x+10)/(x^2+9x+20)	$\frac{3 x + 10}{x^{2} + 9 x + 20}$
133308	Split Using Partial Fraction Decomposition	(-3x-8)/(x^2+4x)	$\frac{- 3 x - 8}{x^{2} + 4 x}$
133309	Split Using Partial Fraction Decomposition	(x^5+2)/(x^2-1)	$\frac{x^{5} + 2}{x^{2} - 1}$
133310	Split Using Partial Fraction Decomposition	(x^2)/(x^4-6561)	$\frac{x^{2}}{x^{4} - 6561}$
133311	Split Using Partial Fraction Decomposition	(4x^5+9x^4-10x^3-3x^2+x)/(4x^2+13x+3)	$\frac{4 x^{5} + 9 x^{4} - 10 x^{3} - 3 x^{2} + x}{4 x^{2} + 13 x + 3}$
133312	Find All Complex Number Solutions	p^4-81=0	$p^{4} - 81 = 0$
133313	Find All Complex Number Solutions	x^4+i=0	$x^{4} + i = 0$
133314	Multiply the Matrices	[[-1,3],[5,6]]*[[0,-2,6],[1,-3,2]]	$[\begin{array}{c} - 1 & 3 \\ 5 & 6 \end{array}] \cdot [\begin{array}{c} 0 & - 2 & 6 \\ 1 & - 3 & 2 \end{array}]$
133315	Multiply the Matrices	[[1,2],[3,4]]*[[5,6],[7,8]]	$[\begin{array}{c} 1 & 2 \\ 3 & 4 \end{array}] \cdot [\begin{array}{c} 5 & 6 \\ 7 & 8 \end{array}]$
133316	Multiply the Matrices	[[1,-9],[-6,5],[-6,2]][[4,-2],[5,7],[-4,9]]	$[\begin{array}{c} 1 & - 9 \\ - 6 & 5 \\ - 6 & 2 \end{array}] [\begin{array}{c} 4 & - 2 \\ 5 & 7 \\ - 4 & 9 \end{array}]$
133317	Multiply the Matrices	[[4],[5],[6],[7]][[5,6,7,8]]	$[\begin{array}{c} 4 \\ 5 \\ 6 \\ 7 \end{array}] [\begin{array}{c} 5 & 6 & 7 & 8 \end{array}]$
133318	Multiply the Matrices	[[4],[5],[6],[7]]*[[5,6,7,8]]	$[\begin{array}{c} 4 \\ 5 \\ 6 \\ 7 \end{array}] \cdot [\begin{array}{c} 5 & 6 & 7 & 8 \end{array}]$
133319	Multiply the Matrices	[[20,30],[15,5],[5,2]][[500],[600]]	$[\begin{array}{c} 20 & 30 \\ 15 & 5 \\ 5 & 2 \end{array}] [\begin{array}{c} 500 \\ 600 \end{array}]$
133320	Multiply the Matrices	[[3,4,5,6]]*[[5],[6],[7],[8]]	$[\begin{array}{c} 3 & 4 & 5 & 6 \end{array}] \cdot [\begin{array}{c} 5 \\ 6 \\ 7 \\ 8 \end{array}]$
133321	Solve Using a Matrix with Cramer's Rule	8x-8y-8z=-482x+2y+4z=50-3x-8y-4z=-105	$8 x - 8 y - 8 z = - 482 x + 2 y + 4 z = 50 - 3 x - 8 y - 4 z = - 105$
133322	Solve Using a Matrix with Cramer's Rule	-2x-9y+8z=-47-5x+3y-9z=-269x-6y-6z=-24	$- 2 x - 9 y + 8 z = - 47 - 5 x + 3 y - 9 z = - 269 x - 6 y - 6 z = - 24$
133323	Solve for x	7x-11<10<3x+28	$7 x - 11 < 10 < 3 x + 28$
133324	Solve for x	-4<2-3x<5	$- 4 < 2 - 3 x < 5$
133325	Solve for x	-12<4(x-3)<=5	$- 12 < 4 (x - 3) \leq 5$
133326	Solve for x	1<=3x-2<16	$1 \leq 3 x - 2 < 16$
133327	Solve for k	-10<-5k-15<25	$- 10 < - 5 k - 15 < 25$
133328	Find the Constant of Variation	xy=7	$x y = 7$
133329	Find the Constant of Variation	y=7x	$y = 7 x$
133330	Find the Constant of Variation	y=2/7x	$y = \frac{2}{7} x$
133331	Find the Constant of Variation	3xy=18	$3 x y = 18$
133332	Find the LCD	(5x)/(4y^2z) , (3z)/(6x^2y)	$\frac{5 x}{4 y^{2} z}$ , $\frac{3 z}{6 x^{2} y}$
133333	Find the LCD	7/(9x+18) , 5/(6x)	$\frac{7}{9 x + 18}$ , $\frac{5}{6 x}$
133334	Find the LCD	7/y , 21/(x^2-y)	$\frac{7}{y}$ , $\frac{21}{x^{2} - y}$
133335	Find the LCD	7/(3x) , 3/(7x+2)	$\frac{7}{3 x}$ , $\frac{3}{7 x + 2}$
133336	Find the LCD	9/(x-11) , 5/(x+11)	$\frac{9}{x - 11}$ , $\frac{5}{x + 11}$
133337	Find the LCD	(3x)/(x-7) , (10x)/(x-2)	$\frac{3 x}{x - 7}$ , $\frac{10 x}{x - 2}$
133338	Find the LCD	1/a , 1/(a+b) , 1/(a-b)	$\frac{1}{a}$ , $\frac{1}{a + b}$ , $\frac{1}{a - b}$
133339	Find the LCD	1/(6x) , 3/(2x+10)	$\frac{1}{6 x}$ , $\frac{3}{2 x + 10}$
133340	Find the LCD	1/(4x) , 3/(7x+1)	$\frac{1}{4 x}$ , $\frac{3}{7 x + 1}$
133341	Find the LCD	1/2 , 5/6	$\frac{1}{2}$ , $\frac{5}{6}$
133342	Convert from Interval to Inequality	[0,6)	$[0, 6)$
133343	Convert from Interval to Inequality	[0,infinity)	$[0, \infty)$
133344	Convert to Set Notation	x>=-4	$x \geq - 4$
133345	Convert to Set Notation	x>3	$x > 3$
133346	Convert to Set Notation	\|x-3\|<5	$\| x - 3 \| < 5$
133347	Evaluate Using Scientific Notation	(8.910^4)(410^8)	$(8.9 \cdot 10^{4}) (4 \cdot 10^{8})$
133348	Evaluate Using Scientific Notation	5.810^1-7.410^0	$5.8 \cdot 10^{1} - 7.4 \cdot 10^{0}$
133349	Evaluate Using Scientific Notation	(4.810^2)/(1.210^5)	$\frac{4.8 \cdot 10^{2}}{1.2 \cdot 10^{5}}$
133350	Evaluate Using Scientific Notation	(4.610^4)-(3.210^3)	$(4.6 \cdot 10^{4}) - (3.2 \cdot 10^{3})$
133351	Convert to Set Notation	[0,3]	$[0, 3]$
133352	Convert to Set Notation	[1,8]	$[1, 8]$
133353	Write as a Function of x	3x-y=9	$3 x - y = 9$
133354	Write as a Function of x	5x-6y=5	$5 x - 6 y = 5$
133355	Write as a Function of x	y=4x	$y = 4 x$
133356	Write as a Function of y	9x^2+7y^2=42	$9 x^{2} + 7 y^{2} = 42$
133357	Write as a Function of y	m=(x+y)/2	$m = \frac{x + y}{2}$
133358	Write as a Function of n	a_n=48-11n	$a_{n} = 48 - 11 n$
133359	Write as a Function of b	3p^2+bp+12=0	$3 p^{2} + b p + 12 = 0$
133360	Write as a Function of b	p^2+bp+64=0	$p^{2} + b p + 64 = 0$
133361	Write as a Function of g	(g*f)(a)=\|a\|-2	$(g \cdot f) (a) = \| a \| - 2$
133362	Prove that a Root is on the Interval	f(x)=x-2 , (0,4)	$f (x) = x - 2$ , $(0, 4)$
133363	Find the Remainder	(6x^3+2x^2+24x)/(2x^2+5)	$\frac{6 x^{3} + 2 x^{2} + 24 x}{2 x^{2} + 5}$
133364	Find the Remainder	(6x^3+2x^2+26x)/(2x^2+1)	$\frac{6 x^{3} + 2 x^{2} + 26 x}{2 x^{2} + 1}$
133365	Find the Remainder	(6x^9-5x^8-12x^3+60)/(x^6)	$\frac{6 x^{9} - 5 x^{8} - 12 x^{3} + 60}{x^{6}}$
133366	Find the Remainder	(6x^3+2x^2+28x)/(2x^2+5)	$\frac{6 x^{3} + 2 x^{2} + 28 x}{2 x^{2} + 5}$
133367	Find the Remainder	(2x^2+13x+26)/(x+4)	$\frac{2 x^{2} + 13 x + 26}{x + 4}$
133368	Find the Remainder	(x^4-12x^2-11)÷(x+3)	$(x^{4} - 12 x^{2} - 11) \div (x + 3)$
133369	Find the Remainder	(-14x^7+8x^5-6x^4+5x)/(x^3)	$\frac{- 14 x^{7} + 8 x^{5} - 6 x^{4} + 5 x}{x^{3}}$
133370	Use the Rational Roots Test to Find All Possible Roots	x^3+5x^2-11x-55	$x^{3} + 5 x^{2} - 11 x - 55$
133371	Find a,b,c	-9x^2-6x-1=0	$- 9 x^{2} - 6 x - 1 = 0$
133372	Find a,b,c	8x^2-1=0	$8 x^{2} - 1 = 0$
133373	Find a,b,c	x^2-5x+6=0	$x^{2} - 5 x + 6 = 0$
133374	Find a,b,c	x^2-20x+100=0	$x^{2} - 20 x + 100 = 0$
133375	Find the Distance Between Two Points	(1/2,0) , (5 1/2,6)	$(\frac{1}{2}, 0) (5 \frac{1}{2}, 6)$
133376	Evaluate Using the Remainder Theorem	p(x)=2x^3-x^2+10x ; a=1/2	$p (x) = 2 x^{3} - x^{2} + 10 x$ ; $a = \frac{1}{2}$
133377	Find the Distance Between Two Points	(-19,-4) , (11,12)	$(- 19, - 4) (11, 12)$
133378	Find the Distance Between Two Points	(3,-1) , (6,3)	$(3, - 1) (6, 3)$
133379	Find the Distance Between Two Points	(2,5) , (5,7)	$(2, 5) (5, 7)$
133380	Find the Distance Between Two Points	(2,-5) , (-6,-11)	$(2, - 5) (- 6, - 11)$
133381	Find the Distance Between Two Points	(3,24) , (7,56)	$(3, 24) (7, 56)$
133382	Find a,b,c	-2y^2-2y+7=0	$- 2 y^{2} - 2 y + 7 = 0$
133383	Find the Expanded Form	(x+4)^2+y^2=22	${(x + 4)}^{2} + y^{2} = 22$
133384	Find the Expanded Form	(x-7)^2+(y+8)^2=64	${(x - 7)}^{2} + {(y + 8)}^{2} = 64$
133385	Find Amplitude, Period, and Phase Shift	g(x)=2sin(x)	$g (x) = 2 \sin (x)$
133386	Find Amplitude, Period, and Phase Shift	f(x)=-2sin(30)	$f (x) = - 2 \sin (30)$
133387	Find Amplitude, Period, and Phase Shift	f(t)=sin(2t)	$f (t) = \sin (2 t)$
133388	Find Amplitude, Period, and Phase Shift	f(t)=3cot(pit)	$f (t) = 3 \cot (π t)$
133389	Find Amplitude, Period, and Phase Shift	f(t)=1/2cos(3t-2pi)	$f (t) = \frac{1}{2} \cos (3 t - 2 π)$
133390	Find the Parent Function	f(x)=e^x	$f (x) = e^{x}$
133391	Find the Degree, Leading Term, and Leading Coefficient	3x+5x^2-7x+5	$3 x + 5 x^{2} - 7 x + 5$
133392	Find the Degree, Leading Term, and Leading Coefficient	2x^4	$2 x^{4}$
133393	Find the Degree, Leading Term, and Leading Coefficient	6x^5-4x^2+2x^3-3+x	$6 x^{5} - 4 x^{2} + 2 x^{3} - 3 + x$
133394	Find the Degree, Leading Term, and Leading Coefficient	6x+12+10x^2-5x^3	$6 x + 12 + 10 x^{2} - 5 x^{3}$
133395	Find the Degree, Leading Term, and Leading Coefficient	-mn^4	$- m n^{4}$
133396	Determine the Possible Number of Real Roots	x^2-6x+9=0	$x^{2} - 6 x + 9 = 0$
133397	Determine the Possible Number of Real Roots	x^2-10x+25=0	$x^{2} - 10 x + 25 = 0$
133398	Find Where Increasing/Decreasing	y=3(0.25)^x	$y = 3 {(0.25)}^{x}$
133399	Solve for S3	P=S_1+S_2+S_3	$P = S_{1} + S_{2} + S_{3}$
133400	Solve for I	9=2 square root of I-9	$9 = 2 \sqrt{I} - 9$