Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
182701	Find the Function	f(x)=(x-2)^2	$f (x) = {(x - 2)}^{2}$
182702	Graph	(3,-pi/3)	$(3, - \frac{π}{3})$
182703	Simplify	(6-7a-5a^2)/(10a^2-a-3)	$\frac{6 - 7 a - 5 a^{2}}{10 a^{2} - a - 3}$
182704	Solve for c	(5^6)/(5^2)=5^c	$\frac{5^{6}}{5^{2}} = 5^{c}$
182705	Find the x and y Intercepts	f(x)=-1-5x+4x^3-8x^2	$f (x) = - 1 - 5 x + 4 x^{3} - 8 x^{2}$
182706	Solve the System of Equations	5x+y-z=6 x+y+z=2 12x+4y=10	$5 x + y - z = 6$ $x + y + z = 2$ $12 x + 4 y = 10$
182707	Solve for m	((x^8)/(yz^5))^m=1	${(\frac{x^{8}}{y z^{5}})}^{m} = 1$
182708	Solve for x	7=1.075^(x/9-5)	$7 = {1.075}^{\frac{x}{9} - 5}$
182709	Evaluate Using the Given Value	9/m+4 when m=3	$\frac{9}{m} + 4$ when $m = 3$
182710	Evaluate	f(4)=3^4	$f (4) = 3^{4}$
182711	Solve for a	bc=ad	$b c = a d$
182712	Solve the System of Equations	2x-3y=-2 and 4x+y=24	$2 x - 3 y = - 2$ and $4 x + y = 24$
182713	Graph	-3x+y>=-4 -x+2y>=-2	$- 3 x + y \geq - 4$ $- x + 2 y \geq - 2$
182714	Solve for x	4x-5x=x-20	$4 x - 5 x = x - 20$
182715	Solve for x	3^(x-2)=9^(2x)-4	$3^{x - 2} = 9^{2 x} - 4$
182716	Simplify	1/3(9-6m)+1/4(12m-8)	$\frac{1}{3} (9 - 6 m) + \frac{1}{4} (12 m - 8)$
182717	Graph	f(x)=7^x , f^-1(x) = log base 7 of x	$f (x) = 7^{x}$ , $f^{- 1} (x) = \log_{7} (x)$
182718	Solve for l	(-7.4)+l=9.11	$(- 7.4) + l = 9.11$
182719	Solve the Inequality for x	(x-1)/(x-3)<0	$\frac{x - 1}{x - 3} < 0$
182720	Simplify	i/(2+i)	$\frac{i}{2 + i}$
182721	Convert to Rectangular	r=2/(1+sin(theta))	$r = \frac{2}{1 + \sin (θ)}$
182722	Multiply	(5y^2)/3*(9x)/(10y)	$\frac{5 y^{2}}{3} \cdot \frac{9 x}{10 y}$
182723	Convert to Interval Notation	x<=-4 or x>=3	$x \leq - 4$ or $x \geq 3$
182724	Simplify	log base 81 of 3	$\log_{81} (3)$
182725	Evaluate	10*(-9+(-6))	$10 \times (- 9 + (- 6))$
182726	Find the Excluded Values	(60x^3)/(12x)	$\frac{60 x^{3}}{12 x}$
182727	Evaluate	2(1/3)^1	$2 {(\frac{1}{3})}^{1}$
182728	Solve for v	9v-2=3v	$9 v - 2 = 3 v$
182729	Evaluate	5p+3p+(-9)	$5 p + 3 p + (- 9)$
182730	Describe the Transformation	y=-x	$y = - x$
182731	Solve for g	bg+9f=27	$b g + 9 f = 27$
182732	Simplify	( square root of 4x)/( square root of 6)	$\frac{\sqrt{4 x}}{\sqrt{6}}$
182733	Find the Exact Value	2sin(75 degrees )cos(75 degrees )	$2 \sin (75 °) \cos (75 °)$
182734	Graph	f(x)=3x if x<=3; 2x if x>3	$f (x) = {\begin{cases} 3 x & x \leq 3 \\ 2 x & x > 3 \end{cases}$
182735	Solve for x	6x+1/(x+1)=-x/(x+1)	$6 x + \frac{1}{x + 1} = - \frac{x}{x + 1}$
182736	Find the Midpoint	(3,-1) and (8,-6)	$(3, - 1)$ and $(8, - 6)$
182737	Find the x and y Intercepts	y=(x-1)/2	$y = \frac{x - 1}{2}$
182738	Determine if Parallel	y=-3x+6 and y=1/3x-8	$y = - 3 x + 6$ and $y = \frac{1}{3} x - 8$
182739	Solve by Substitution	2x-3y=-1	$2 x - 3 y = - 1$
182740	Solve the Inequality for x	15>6x+1-4	$15 > 6 x + 1 - 4$
182741	Solve for θ	square root of 3sec(theta)-2=0	$\sqrt{3} \sec (θ) - 2 = 0$
182742	Solve for x	(x+2)(x-7)=-3x-10	$(x + 2) (x - 7) = - 3 x - 10$
182743	Evaluate	\|-4+5x\|=16	$\| - 4 + 5 x \| = 16$
182744	Divide	((2x+5)/4)÷((2x+5)/6)	$\frac{2 x + 5}{4} \div \frac{2 x + 5}{6}$
182745	Graph	H(x)=1- log base 4 of x	$H (x) = 1 - \log_{4} (x)$
182746	Simplify	7x square root of 125x^2-7x^2 square root of 5	$7 x \sqrt{125 x^{2}} - 7 x^{2} \sqrt{5}$
182747	Solve for x	0+x=x-0	$0 + x = x - 0$
182748	Solve for x	square root of 3^(2x+1)=9^(x-2)	$\sqrt{3^{2 x + 1}} = 9^{x - 2}$
182749	Solve for x	3/(4x-5)=x	$\frac{3}{4 x - 5} = x$
182750	Solve for x	1/4(40-8x)=19x+2-5x	$\frac{1}{4} (40 - 8 x) = 19 x + 2 - 5 x$
182751	Simplify	(x^2-64)/(5(x+7)^2)*(x^2-49)/(x^4-15x^3+56x^2)	$\frac{x^{2} - 64}{5 {(x + 7)}^{2}} \cdot \frac{x^{2} - 49}{x^{4} - 15 x^{3} + 56 x^{2}}$
182752	Graph	g(x)=-1/2f(x-1)+3	$g (x) = - \frac{1}{2} f (x - 1) + 3$
182753	Simplify	fourth root of 8a^3b* fourth root of 10a^2b^7	$\sqrt[4]{8 a^{3} b} \cdot \sqrt[4]{10 a^{2} b^{7}}$
182754	Subtract	1/(x-1)-x/(x-1)	$\frac{1}{x - 1} - \frac{x}{x - 1}$
182755	Convert to a Decimal	sin(195)deg	$\sin (195)$ degrees
182756	Solve for x	square root of x^2+16=x	$\sqrt{x^{2} + 16} = x$
182757	Solve for x	10\|7x+3\|=0	$10 \| 7 x + 3 \| = 0$
182758	Simplify	a(6-1)+3b-b(2-1)+10	$a (6 - 1) + 3 b - b (2 - 1) + 10$
182759	Solve the Inequality for x	2x+8x>=15+14x+9	$2 x + 8 x \geq 15 + 14 x + 9$
182760	Solve for x	cube root of 8x^3-1=2x-1	$\sqrt[3]{8 x^{3} - 1} = 2 x - 1$
182761	Expand the Logarithmic Expression	log of ( cube root of x^4z^2)/(y^4)	$\log (\frac{\sqrt[3]{x^{4}} z^{2}}{y^{4}})$
182762	Solve for x	K=1/2kx^2	$K = \frac{1}{2} k x^{2}$
182763	Find the LCD	(6a)/(a^2-5a-6) and (8a)/(a^2-36) ?	$\frac{6 a}{a^{2} - 5 a - 6}$ and $\frac{8 a}{a^{2} - 36}$ ?
182764	Solve for x	square root of d=(x+z^3)/(5f)	$\sqrt{d} = \frac{x + z^{3}}{5 f}$
182765	Solve for x	2x+1-7x+1=-2x+1+7x	$2 x + 1 - 7 x + 1 = - 2 x + 1 + 7 x$
182766	Simplify	( square root of 1+x-x/(2 square root of 1+x))/(1+x)	$\frac{\sqrt{1 + x} - \frac{x}{2 \sqrt{1 + x}}}{1 + x}$
182767	Solve the Absolute Value Inequality for x	\|x-2\|=\|4+x\|	$\| x - 2 \| = \| 4 + x \|$
182768	Simplify	(24a+8b)/12	$\frac{24 a + 8 b}{12}$
182769	Simplify	6x square root of 28x^5-x^2 square root of 7x^3	$6 x \sqrt{28 x^{5}} - x^{2} \sqrt{7 x^{3}}$
182770	Find the Exact Value	fourth root of -625	$\sqrt[4]{- 625}$
182771	Simplify	7 square root of 2* square root of 2	$7 \sqrt{2} \cdot \sqrt{2}$
182772	Find the Roots (Zeros)	f(x)=3(5x+3)(x+2)(7x-1)	$f (x) = 3 (5 x + 3) (x + 2) (7 x - 1)$
182773	Solve for x	23=x^2+7	$23 = x^{2} + 7$
182774	Solve for k	1/(k+4)-2/(k^2+3k-4)=1/(k-1)	$\frac{1}{k + 4} - \frac{2}{k^{2} + 3 k - 4} = \frac{1}{k - 1}$
182775	Solve for a	d=v_0^t+(at^2)/2	$d = v_{0^{t}} + \frac{a t^{2}}{2}$
182776	Find the Midpoint	(6,1) and (2,10)	$(6, 1)$ and $(2, 10)$
182777	Solve for x	2 = cube root of 4x-12	$2 = \sqrt[3]{4 x - 12}$
182778	Solve the Inequality for x	-4(6x-1)>-27+7x	$- 4 (6 x - 1) > - 27 + 7 x$
182779	Solve for n	3+(2+8)=(3+2)+n	$3 + (2 + 8) = (3 + 2) + n$
182780	Simplify	(((x-2)^2)/(x+2))÷((x-2)/(x^2-4))	$\frac{{(x - 2)}^{2}}{x + 2} \div \frac{x - 2}{x^{2} - 4}$
182781	Subtract	(8n-3n^4+10n^2)-(3n^2+11n^4-7)	$(8 n - 3 n^{4} + 10 n^{2}) - (3 n^{2} + 11 n^{4} - 7)$
182782	Solve for C	A=5/6(B+C)	$A = \frac{5}{6} (B + C)$
182783	Solve for d	A=1/4pid^2	$A = \frac{1}{4} π d^{2}$
182784	Solve for x	f(x)=2x+1	$f (x) = 2 x + 1$
182785	Solve for g	5/4(2/5g-4)=2g+1/3(3-1/2g)	$\frac{5}{4} (\frac{2}{5} g - 4) = 2 g + \frac{1}{3} (3 - \frac{1}{2} g)$
182786	Simplify	(-30x^5y^8)/(6x^5y^9)	$\frac{- 30 x^{5} y^{8}}{6 x^{5} y^{9}}$
182787	Graph Using a Table of Values	f(x) = square root of x-3	$f (x) = \sqrt{x} - 3$
182788	Simplify	(4*7)^-4	${(4 \cdot 7)}^{- 4}$
182789	Solve the System of Equations	x+y=5 2x-y=4	$x + y = 5$ $2 x - y = 4$
182790	Solve for x	1/x+(4x)/(x-1)=-(8x)/(x-1)	$\frac{1}{x} + \frac{4 x}{x - 1} = - \frac{8 x}{x - 1}$
182791	Simplify	(6x^5+12x^4-144x^3)/(6x^3-12x^2-288x)*((x-8)^2)/(x^2-12x+32)	$\frac{6 x^{5} + 12 x^{4} - 144 x^{3}}{6 x^{3} - 12 x^{2} - 288 x} \cdot \frac{{(x - 8)}^{2}}{x^{2} - 12 x + 32}$
182792	Solve the Inequality for p	2p(5p+2)-p(10p+3)<=14	$2 p (5 p + 2) - p (10 p + 3) \leq 14$
182793	Multiply	(5x+25)/14*(7x+7)/(10x+50)	$\frac{5 x + 25}{14} \cdot \frac{7 x + 7}{10 x + 50}$
182794	Solve for x	(x-1)/(x^2-4)<0	$\frac{x - 1}{x^{2} - 4} < 0$
182795	Find the Function	f(x)=2x^2+x-3	$f (x) = 2 x^{2} + x - 3$
182796	Graph	y=1/2sin(1/2x)	$y = \frac{1}{2} \sin (\frac{1}{2} x)$
182797	Find the Product	(x-5y)(x+5y)	$(x - 5 y) (x + 5 y)$
182798	Graph	f(x)=2x if x!=0; 3 if x=0	$f (x) = {\begin{cases} 2 x & x \neq 0 \\ 3 & x = 0 \end{cases}$
182799	Solve for a	x^(1/6) square root of x^3=x^a	$x^{\frac{1}{6}} \sqrt{x^{3}} = x^{a}$
182800	Find the LCD	(3x)/(x^2-25) and 10/(3x-15) ?	$\frac{3 x}{x^{2} - 25}$ and $\frac{10}{3 x - 15}$ ?