Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
234301	Write in Slope-Intercept Form	(3,0) and (-5,6)	$(3, 0)$ and $(- 5, 6)$
234302	Solve for x	(1/8)^(x-6)<4^(4x+5)	${(\frac{1}{8})}^{x - 6} < 4^{4 x + 5}$
234303	Solve for x	1/x-1=0	$\frac{1}{x} - 1 = 0$
234304	Simplify	square root of (6y^5)/(24y)	$\sqrt{\frac{6 y^{5}}{24 y}}$
234305	Simplify	(xy^-4)/(x^3y^-1)	$\frac{x y^{- 4}}{x^{3} y^{- 1}}$
234306	Factor	4cd-25c^2-0.16d^2	$4 c d - 25 c^{2} - 0.16 d^{2}$
234307	Divide	(x^3+6x^2+11x+6) by (x+2)	$(x^{3} + 6 x^{2} + 11 x + 6)$ by $(x + 2)$
234308	Find the Excluded Values	(x^2-9)/(2x^2-6x)	$\frac{x^{2} - 9}{2 x^{2} - 6 x}$
234309	Simplify	9/(6- square root of 8)	$\frac{9}{6 - \sqrt{8}}$
234310	Simplify	((3a^2+6a+3)/(a^2-3a-10))÷((12a^2-12)/(a^2-4))	$\frac{3 a^{2} + 6 a + 3}{a^{2} - 3 a - 10} \div \frac{12 a^{2} - 12}{a^{2} - 4}$
234311	Find the Excluded Values	1/(x-2)-5/(x+5)=7/(x^2+3x-10)	$\frac{1}{x - 2} - \frac{5}{x + 5} = \frac{7}{x^{2} + 3 x - 10}$
234312	Write in Standard Form	5/6x+2=7/8	$\frac{5}{6} x + 2 = \frac{7}{8}$
234313	Evaluate	(6^0)/(6^4*6^6)	$\frac{6^{0}}{6^{4} \cdot 6^{6}}$
234314	Solve for x	60+X=3x-70	$60 + X = 3 x - 70$
234315	Solve the Rational Equation for x	-5 = square root of 3x-7	$- 5 = \sqrt{3 x - 7}$
234316	Graph	Graph y>=-3 square root of x-1+2	Graph $y \geq - 3 \sqrt{x - 1} + 2$
234317	Multiply	((x+1)/x)(2+1/(x+1))	$(\frac{x + 1}{x}) (2 + \frac{1}{x + 1})$
234318	Find the Roots (Zeros)	y=(x-6)(x+8)(2x+1)	$y = (x - 6) (x + 8) (2 x + 1)$
234319	Solve for a	The diagram below shows the curve y=x^3-ax^2 ; where a is a positive constant. Find the area of the shaded region in terms of a	The diagram below shows the curve $y = x^{3} - a x^{2}$ ; where a is a positive constant. Find the area of the shaded region in terms of $a$
234320	Find the End Behavior	f(x)=5x-x^2-2x^6+3	$f (x) = 5 x - x^{2} - 2 x^{6} + 3$
234321	Simplify	e^(-1/2)	$e^{- \frac{1}{2}}$
234322	Combine Like Terms	(4c-11)-(4c+11)	$(4 c - 11) - (4 c + 11)$
234323	Simplify	(3x^4+9x^3-7x+15)+(-6x^4-8x^2+5x-3)	$(3 x^{4} + 9 x^{3} - 7 x + 15) + (- 6 x^{4} - 8 x^{2} + 5 x - 3)$
234324	Convert to Radical Form	-5ab3/4	$- 5 a b \frac{3}{4}$
234325	Simplify	7x^3+6+1-4-x+x^3+3x	$7 x^{3} + 6 + 1 - 4 - x + x^{3} + 3 x$
234326	Solve for t	1000=-16t^2+1800	$1000 = - 16 t^{2} + 1800$
234327	Simplify	6y+7-2(2x+y+1)	$6 y + 7 - 2 (2 x + y + 1)$
234328	Factor	Factor x^2+7x+12	Factor $x^{2} + 7 x + 12$
234329	Simplify	1/((5x)^(-3/2))	$\frac{1}{{(5 x)}^{- \frac{3}{2}}}$
234330	Graph	x^2+y^2<=49 x^2-4y^2>16	$x^{2} + y^{2} \leq 49$ $x^{2} - 4 y^{2} > 16$
234331	Find the Excluded Values	1/(x-1)+2=5/(x-1)	$\frac{1}{x - 1} + 2 = \frac{5}{x - 1}$
234332	Simplify	((6ab^-4)/(b^3))^2	${(\frac{6 a b^{- 4}}{b^{3}})}^{2}$
234333	Evaluate	x^2-36=0	$x^{2} - 36 = 0$
234334	Solve the Inequality for x	1/3(4x+3)>=2/3x+2	$\frac{1}{3} (4 x + 3) \geq \frac{2}{3} x + 2$
234335	Write in Standard Form	2/3m^4-5/6m^6	$\frac{2}{3} m^{4} - \frac{5}{6} m^{6}$
234336	Evaluate	2x^2-6x-8=0	$2 x^{2} - 6 x - 8 = 0$
234337	Graph	f(x)=(x^2-5x-14)/(q(x))	$f (x) = \frac{x^{2} - 5 x - 14}{q (x)}$
234338	Simplify	cube root of 5(2 square root of 3)	$\sqrt[3]{5} (2 \sqrt{3})$
234339	Solve for y	z/y=y/x	$\frac{z}{y} = \frac{y}{x}$
234340	Convert to Interval Notation	x<4 and x>-1	$x < 4$ and $x > - 1$
234341	Solve for t	A(t)=2400(1/2)^(t/14)	$A (t) = 2400 {(\frac{1}{2})}^{\frac{t}{14}}$
234342	Solve for x	2 square root of x+3<=8	$2 \sqrt{x + 3} \leq 8$
234343	Solve for x	f(-x)=3x^2+2x-3	$f (- x) = 3 x^{2} + 2 x - 3$
234344	Evaluate	(-1 2/5)(-2 3/4)	$(- 1 \frac{2}{5}) (- 2 \frac{3}{4})$
234345	Write in Standard Form	(6k^4)(-k^2)	$(6 k^{4}) (- k^{2})$
234346	Solve for x	2^x=2 square root of 2	$2^{x} = 2 \sqrt{2}$
234347	Simplify	(x^2-4x-21)-(x+3)	$(x^{2} - 4 x - 21) - (x + 3)$
234348	Solve for x	x+2x+4x+6x+7x+10x=360	$x + 2 x + 4 x + 6 x + 7 x + 10 x = 360$
234349	Solve for y	C=7(y+k)	$C = 7 (y + k)$
234350	Combine Like Terms	(2x+5y-z)+(-6x-4y+7z)	$(2 x + 5 y - z) + (- 6 x - 4 y + 7 z)$
234351	Evaluate	18(1/9)^2-111/9	$18 \cdot {(\frac{1}{9})}^{2} - 11 \cdot \frac{1}{9}$
234352	Graph	x-2y=-4 y=-1/2x+6	$x - 2 y = - 4$ $y = - \frac{1}{2} x + 6$
234353	Solve for r	6r-4+94=180	$6 r - 4 + 94 = 180$
234354	Simplify	((2x-2)/(x+5))÷((x^2-4x+3)/(2x^2+13x+15))	$\frac{2 x - 2}{x + 5} \div \frac{x^{2} - 4 x + 3}{2 x^{2} + 13 x + 15}$
234355	Find the x and y Intercepts	y=1/2x^3+x^2-3x+1	$y = \frac{1}{2} x^{3} + x^{2} - 3 x + 1$
234356	Evaluate	cos(theta)=5/8	$\cos (θ) = \frac{5}{8}$
234357	Find g(f(x))	f(x)=3x+2 , g(x)=2x^2-1	$f (x) = 3 x + 2$ , $g (x) = 2 x^{2} - 1$
234358	Find the Inverse	f^-1(x)=(2x+6)/(x+4)	$f^{- 1} (x) = \frac{2 x + 6}{x + 4}$
234359	Solve for x	6^x=3^(2x)-2^(2x)	$6^{x} = 3^{2 x} - 2^{2 x}$
234360	Find the Exact Value	pi*6^2	$π \cdot 6^{2}$
234361	Simplify	4(5)^4+24(5)^(1/3)	$4 {(5)}^{4} + 24 {(5)}^{\frac{1}{3}}$
234362	Solve for y	(2y-3)(y-2)=-12y+18	$(2 y - 3) (y - 2) = - 12 y + 18$
234363	Simplify	(3x^2-7xy+4)-(x^2-2xy+2)	$(3 x^{2} - 7 x y + 4) - (x^{2} - 2 x y + 2)$
234364	Simplify	(4^8)/(5^3)	$\frac{4^{8}}{5^{3}}$
234365	Subtract	(5x^2-9)+(-10x+7)	$(5 x^{2} - 9) + (- 10 x + 7)$
234366	Graph	0=(2pi)/3	$0 = \frac{2 π}{3}$
234367	Evaluate	(3.5*2/7-2/3)/16	$\frac{(3.5 \cdot \frac{2}{7} - \frac{2}{3})}{16}$
234368	Evaluate	(e^0.1-1)/0.1	$\frac{e^{0.1} - 1}{0.1}$
234369	Graph	graph the line x=6	graph the line $x = 6$
234370	Solve for x	(3x+2)^4=232	${(3 x + 2)}^{4} = 232$
234371	Solve the System of Equations	5x-y/2=-1 3x-2y=1	$5 x - \frac{y}{2} = - 1$ $3 x - 2 y = 1$
234372	Evaluate	csc(-(9pi)/2)+cot(-(7pi)/4)	$\csc (- \frac{9 π}{2}) + \cot (- \frac{7 π}{4})$
234373	Write in Standard Form	(2i)^4	${(2 i)}^{4}$
234374	Evaluate	2sin((5pi)/4)	$2 \sin (\frac{5 π}{4})$
234375	Solve for θ	cos(theta)>0	$\cos (θ) > 0$
234376	Factor	24ab-8a^2b+32a	$24 a b - 8 a^{2} b + 32 a$
234377	Solve for x	6x+10+2x+5+3x-11=180	$6 x + 10 + 2 x + 5 + 3 x - 11 = 180$
234378	Solve for x	Solve square root of 2x+21 = square root of 2x+3	Solve $\sqrt{2 x + 21} = \sqrt{2 x} + 3$
234379	Describe the Transformation	f(x)=(1/3x)^3-3	$f (x) = {(\frac{1}{3} x)}^{3} - 3$
234380	Evaluate	((2^-4)/(2^-2))^-1	${(\frac{2^{- 4}}{2^{- 2}})}^{- 1}$
234381	Evaluate	3cos(pi/3)	$3 \cos (\frac{π}{3})$
234382	Solve the Inequality for x	-1<=3-2x<5	$- 1 \leq 3 - 2 x < 5$
234383	Simplify	((x^0y^-3z^2)/(2x^3y^2z^-4))^3	${(\frac{x^{0} y^{- 3} z^{2}}{2 x^{3} y^{2} z^{- 4}})}^{3}$
234384	Solve for x	3tan(x)^2=tan(x)	$3 \tan^{2} (x) = \tan (x)$
234385	Expand the Logarithmic Expression	log of (c^7)/( cube root of a^7b^5)	$\log (\frac{c^{7}}{\sqrt[3]{a^{7} b^{5}}})$
234386	Solve the Inequality for x	5\|x+9\|<=10	$5 \| x + 9 \| \leq 10$
234387	Find the x and y Intercepts	s(x)=-5*2^(3x+1)	$s (x) = - 5 \cdot 2^{3 x + 1}$
234388	Complete the Square	1/4x^2+x+1	$\frac{1}{4} x^{2} + x + 1$
234389	Solve for x	6(x-4)+x=5(x-2)	$6 (x - 4) + x = 5 (x - 2)$
234390	Simplify	4w^8x^5y^-4z^-2	$4 w^{8} x^{5} y^{- 4} z^{- 2}$
234391	Simplify the Radical Expression	square root of 3( square root of 5- square root of 3)	$\sqrt{3} (\sqrt{5} - \sqrt{3})$
234392	Evaluate	(4+2n^3)+(5n^3+2)	$(4 + 2 n^{3}) + (5 n^{3} + 2)$
234393	Write in Standard Form	8=y^2-12	$8 = y^{2} - 12$
234394	Find All Complex Solutions	theta=(1pi)/4	$θ = \frac{1 π}{4}$
234395	Write in Standard Form	27x^3+27/2x^2+9/4x+1/8	$27 x^{3} + \frac{27}{2} x^{2} + \frac{9}{4} x + \frac{1}{8}$
234396	Rationalize the Denominator	-1/( square root of 2)	$\frac{- 1}{\sqrt{2}}$
234397	Simplify	((x^3)/(y^8))^4((2x^3y)/(x^2y^5))	${(\frac{x^{3}}{y^{8}})}^{4} (\frac{2 x^{3} y}{x^{2} y^{5}})$
234398	Find the Roots (Zeros)	2x^4+x^3-x^2-x-1	$2 x^{4} + x^{3} - x^{2} - x - 1$
234399	Solve for x	0=(3(2x-1))/(2x-3)	$0 = \frac{3 (2 x - 1)}{2 x - 3}$
234400	Solve for x	(10x+3)=(3x-4)	$(10 x + 3) = (3 x - 4)$