Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
183301	Graph	y<2x-8 y<=-x-2	$y < 2 x - 8$ $y \leq - x - 2$
183302	Find the Inverse	f(x)=(( seventh root of x)/7)^3	$f (x) = {(\frac{\sqrt[7]{x}}{7})}^{3}$
183303	Solve for x	5x+c=k	$5 x + c = k$
183304	Solve for b	c=a/(3b+8)	$c = \frac{a}{3 b + 8}$
183305	Graph	y=-f(-x)	$y = - f (- x)$
183306	Evaluate the Function	f(-3)=2^-3	$f (- 3) = 2^{- 3}$
183307	Convert to a Decimal	sin(75)deg	$\sin (75)$ degrees
183308	Simplify the Radical Expression	square root of 25/128	$\sqrt{\frac{25}{128}}$
183309	Solve the Inequality for x	(x+1)(x-3)^2<0	$(x + 1) {(x - 3)}^{2} < 0$
183310	Find the x and y Intercepts	f(x)=(-4x+15)/5	$f (x) = \frac{- 4 x + 15}{5}$
183311	Graph	f(x)=x^2-4 , x<=0	$f (x) = x^{2} - 4$ , $x \leq 0$
183312	Write in Standard Form	1/2x-3=x^2	$\frac{1}{2} x - 3 = x^{2}$
183313	Factor	3x(a-2)-2y(a-2)	$3 x (a - 2) - 2 y (a - 2)$
183314	Evaluate	y-y_1=m(x-x_1)	$y - y_{1} = m (x - x_{1})$
183315	Solve for x	1600=780(1.015)^(x/5)	$1600 = 780 {(1.015)}^{\frac{x}{5}}$
183316	Simplify the Radical Expression	- square root of -16	$- \sqrt{- 16}$
183317	Simplify	5 cube root of 8--4 square root of 16+9	$5 \sqrt[3]{8} - - 4 \sqrt{16} + 9$
183318	Evaluate	3/2(2)^2	$\frac{3}{2} {(2)}^{2}$
183319	Graph	(negative infinity,5) union (5,infinity)	$(- \infty, 5) \cup (5, \infty)$
183320	Evaluate	20% of 40	$20 %$ of $40$
183321	Find the Quotient	(x^5-1)÷(x-1)	$(x^{5} - 1) \div (x - 1)$
183322	Graph	y=x/(1+x^2)	$y = \frac{x}{1 + x^{2}}$
183323	Solve for n	P=n+k+m	$P = n + k + m$
183324	Solve the System of Equations	y=-x+2 y=3/5x-6	$y = - x + 2$ $y = \frac{3}{5} x - 6$
183325	Find the Volume	sphere (2cm)	 $\begin{array}{r} r = & 2 cm \end{array}$
183326	Solve the Inequality for x	\|x+1\|<2	$\| x + 1 \| < 2$
183327	Find the Exact Value	2/3-1/4	$\frac{2}{3} - \frac{1}{4}$
183328	Solve the Inequality for x	(x-4)/(x+5)>=0	$\frac{x - 4}{x + 5} \geq 0$
183329	Solve for n	n(n+1)+3=45	$n (n + 1) + 3 = 45$
183330	Simplify	((7^5)(7^3))^-4	${((7^{5}) (7^{3}))}^{- 4}$
183331	Solve for x	(x-2)^2-10(x-2)=-9	${(x - 2)}^{2} - 10 (x - 2) = - 9$
183332	Evaluate	(2^5-4*3^3)/(7+(1- square root of 100))	$\frac{2^{5} - 4 \cdot 3^{3}}{7 + (1 - \sqrt{100})}$
183333	Solve for a	a(-6)=-42	$a (- 6) = - 42$
183334	Determine if Perpendicular	y=x+7 and y=-x+2	$y = x + 7$ and $y = - x + 2$
183335	Solve the System of Equations	y=x+1 y=-1/2x+4	$y = x + 1$ $y = - \frac{1}{2} x + 4$
183336	Simplify	r/(r^2-9)-1/(r^2+8r+15)	$\frac{r}{r^{2} - 9} - \frac{1}{r^{2} + 8 r + 15}$
183337	Find the Sum and Product of the Roots of the Quadratic Equation	3x^2+x+1=0	$3 x^{2} + x + 1 = 0$
183338	Simplify	3 square root of 6*5 square root of 12	$3 \sqrt{6} \cdot 5 \sqrt{12}$
183339	Evaluate	3x^-3	$3 x^{- 3}$
183340	Solve for θ	sin(theta/2)=-( square root of 3)/2	$\sin (\frac{θ}{2}) = - \frac{\sqrt{3}}{2}$
183341	Find the Domain and Range	f^-1(x)=x-4	$f^{- 1} (x) = x - 4$
183342	Solve for x	(2x)/(x+2)+1=5/(x^2+2x)	$\frac{2 x}{x + 2} + 1 = \frac{5}{x^{2} + 2 x}$
183343	Solve for b	x=(-b+ square root of b^2-4ac)/(2a)	$x = \frac{- b + \sqrt{b^{2} - 4 a c}}{2 a}$
183344	Find the Axis of Symmetry	y=(x+5)^2	$y = {(x + 5)}^{2}$
183345	Evaluate	1+1^2	$1 + 1^{2}$
183346	Determine if a Polynomial	5z^3-2z^4-9z^2+z	$5 z^{3} - 2 z^{4} - 9 z^{2} + z$
183347	Graph	f(x)=-2x(x-1)(x+4)	$f (x) = - 2 x (x - 1) (x + 4)$
183348	Evaluate	(10 cube root of z)/(2z^2)	$\frac{10 \sqrt[3]{z}}{2 z^{2}}$
183349	Graph	(3,(7pi)/6)	$(3, \frac{7 π}{6})$
183350	Evaluate	-2k+(-4k)+5	$- 2 k + (- 4 k) + 5$
183351	Find All Complex Solutions	x^(3/2)=27	$x^{\frac{3}{2}} = 27$
183352	Evaluate	10/(2pi)	$\frac{10}{2 π}$
183353	Factor	6+2x^2	$6 + 2 x^{2}$
183354	Evaluate	log base 1/4 of 1/64	$\log_{\frac{1}{4}} (\frac{1}{64})$
183355	Solve for b	4(b+23)=8b+23	$4 (b + 23) = 8 b + 23$
183356	Solve for k	28-k>=7(k-4)	$28 - k \geq 7 (k - 4)$
183357	Describe the Transformation	y=(x-2)^3+4	$y = {(x - 2)}^{3} + 4$
183358	Simplify the Radical Expression	square root of 9x^7	$\sqrt{9 x^{7}}$
183359	Graph	f(x)=(x-1)/(x^2)	$f (x) = \frac{x - 1}{x^{2}}$
183360	Solve for c	\|3c-4\|<12	$\| 3 c - 4 \| < 12$
183361	Graph	(x+4)	$(x + 4)$
183362	Solve for x	5-8\|-2x\|=-75	$5 - 8 \| - 2 x \| = - 75$
183363	Factor	3ax+ab-6x-2b	$3 a x + a b - 6 x - 2 b$
183364	Simplify	(20 square root of 270)/(4 square root of 3)	$\frac{20 \sqrt{270}}{4 \sqrt{3}}$
183365	Simplify	(3y^2-4y+1)+(-y^2+y-2)	$(3 y^{2} - 4 y + 1) + (- y^{2} + y - 2)$
183366	Solve the Inequality for y	-5x+3y>15	$- 5 x + 3 y > 15$
183367	Solve for x	3^x=9^3	$3^{x} = 9^{3}$
183368	Solve for x	4-7x+10=15-6x-8	$4 - 7 x + 10 = 15 - 6 x - 8$
183369	Subtract	2-5/3	$2 - \frac{5}{3}$
183370	Solve for z	square root of 8-7z- square root of z^2+20=0	$\sqrt{8 - 7 z} - \sqrt{z^{2} + 20} = 0$
183371	Solve the System of Equations	y=1/4x+5 y=-x-5	$y = \frac{1}{4} x + 5$ $y = - x - 5$
183372	Evaluate	5/(2(x+4)^2-6(x+4))	$\frac{5}{2 {(x + 4)}^{2} - 6 (x + 4)}$
183373	Subtract	Subtract -6x^2-2x+5 from 2x^2+8	Subtract $- 6 x^{2} - 2 x + 5$ from $2 x^{2} + 8$
183374	Solve for x	7/x+(4x)/(x-1)=4/(x^2-x)	$\frac{7}{x} + \frac{4 x}{x - 1} = \frac{4}{x^{2} - x}$
183375	Evaluate	2^(0+1)	$2^{0 + 1}$
183376	Simplify	(12z^2+20z)/(z^2+2z)	$\frac{12 z^{2} + 20 z}{z^{2} + 2 z}$
183377	Factor	25-x^2-16y^2+8xy	$25 - x^{2} - 16 y^{2} + 8 x y$
183378	Solve the Inequality for m	2.2m<11	$2.2 m < 11$
183379	Find the Domain of the Composition f(g(x))	f(x)=3x+1 , g(x) = square root of x	$f (x) = 3 x + 1$ , $g (x) = \sqrt{x}$
183380	Multiply	4/9271/2	$\frac{4}{9} \cdot 27 \cdot \frac{1}{2}$
183381	Graph	x^2>6x	$x^{2} > 6 x$
183382	Find the Domain and Range	f(x)=x+ square root of 4-x^2	$f (x) = x + \sqrt{4 - x^{2}}$
183383	Solve for c	-7+4c=7c+6	$- 7 + 4 c = 7 c + 6$
183384	Convert to Scientific Notation	(7.0610^5)÷5.310^-2	$7.06 \cdot 10^{5} \div 5.3 \cdot 10^{- 2}$
183385	Solve for Y	x=5/6(Y+Z)	$x = \frac{5}{6} (Y + Z)$
183386	Find the Domain and Range	y^2=x-3	$y^{2} = x - 3$
183387	Find the x and y Intercepts	f(x)=(x^2-4)(3-x)	$f (x) = (x^{2} - 4) (3 - x)$
183388	Solve for r	V=4/3pir^3	$V = \frac{4}{3} \cdot π \cdot r^{3}$
183389	Find f(g(x))	f(x)=1/(4x) g(x)=1/(4x)	$f (x) = \frac{1}{4 x}$ $g (x) = \frac{1}{4 x}$
183390	Graph	2\|x+2\|-3>=0	$2 \| x + 2 \| - 3 \geq 0$
183391	Write in Standard Form	y=(x-4)(x-2)	$y = (x - 4) (x - 2)$
183392	Write in Standard Form	(x-5)(x+3)-8=7	$(x - 5) (x + 3) - 8 = 7$
183393	Simplify	1.5r-3r+8r+2.5r	$1.5 r - 3 r + 8 r + 2.5 r$
183394	Solve for x	4(3x-9)^2-3=33	$4 {(3 x - 9)}^{2} - 3 = 33$
183395	Factor	3a^3b^2c+9ab^2c^3	$3 a^{3} b^{2} c + 9 a b^{2} c^{3}$
183396	Find the Holes in the Graph	f(x)=(x^2-36)/(x+6)	$f (x) = \frac{x^{2} - 36}{x + 6}$
183397	Simplify	(2x+20-6x^2)-(4-7x^2+12x)	$(2 x + 20 - 6 x^{2}) - (4 - 7 x^{2} + 12 x)$
183398	Simplify	x^2+x-x^2	$x^{2} + x - x^{2}$
183399	Simplify	(1/3)^-5	${(\frac{1}{3})}^{- 5}$
183400	Find the Product	(3xy-2y)(3xy-8yz)	$(3 x y - 2 y) (3 x y - 8 y z)$