Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
17701	Find the Inverse	f(x)=2+ square root of x+5	$f (x) = 2 + \sqrt{x + 5}$
17702	Find the Inverse	f(x)=2sin(2x)	$f (x) = 2 \sin (2 x)$
17703	Find the Inverse	f(x)=( square root of 12-3x)/(x^2-7x+10)	$f (x) = \frac{\sqrt{12 - 3 x}}{x^{2} - 7 x + 10}$
17704	Find the Inverse	f(x)=( cube root of 2x-5)/8+4	$f (x) = \frac{\sqrt[3]{2 x - 5}}{8} + 4$
17705	Find the Inverse	f(x)=(x^2-1)/(x-1)	$f (x) = \frac{x^{2} - 1}{x - 1}$
17706	Find the Inverse	f(x)=1/2x^2-3x-1	$f (x) = \frac{1}{2} x^{2} - 3 x - 1$
17707	Find the Inverse	f(x)=1/2x-b	$f (x) = \frac{1}{2} x - b$
17708	Find the Inverse	f(x)=1/x-6	$f (x) = \frac{1}{x} - 6$
17709	Find the Inverse	f(x)=1/(x+9)	$f (x) = \frac{1}{x + 9}$
17710	Find the Inverse	f(x)=-3/4x+1	$f (x) = - \frac{3}{4} x + 1$
17711	Find the Inverse	f(x)=(3x)/(x+5)	$f (x) = \frac{3 x}{x + 5}$
17712	Find the Inverse	f(x)=(-3x+2)/(7x+2)	$f (x) = \frac{- 3 x + 2}{7 x + 2}$
17713	Find the Inverse	f(x)=(3x-4)/(7x+5)	$f (x) = \frac{3 x - 4}{7 x + 5}$
17714	Find the Inverse	f(x)=-5/(x^(2-4))	$f (x) = \frac{- 5}{x^{2 - 4}}$
17715	Find the Inverse	f(x)=5x^3-3x^9	$f (x) = 5 x^{3} - 3 x^{9}$
17716	Find the Inverse	f(x)=6^0.5x	$f (x) = 6^{0.5} x$
17717	Find the Inverse	f(x)=(6x-11)/(-4x+6)	$f (x) = \frac{6 x - 11}{- 4 x + 6}$
17718	Find the Inverse	f(x)=-7^2+3x+3	$f (x) = - 7^{2} + 3 x + 3$
17719	Find the Inverse	f(x)=e^x+3x	$f (x) = e^{x} + 3 x$
17720	Find the Inverse	f(x) = log base 3 of x-4+2	$f (x) = \log_{3} (x - 4) + 2$
17721	Find the Inverse	f(x) = log base 5 of x-7	$f (x) = \log_{5} (x - 7)$
17722	Find the Inverse	f(x)=x/( cube root of x^2-1)	$f (x) = \frac{x}{\sqrt[3]{x^{2} - 1}}$
17723	Find the Inverse	f(x)=x/(x+8)	$f (x) = \frac{x}{x + 8}$
17724	Find the Inverse	f(x)=x/(x-7)	$f (x) = \frac{x}{x - 7}$
17725	Find the Number of Possibilities	(10P6)/(10P4)	$\frac{10 P \cdot 6}{10 P \cdot 4}$
17726	Find the Inverse	f(x)=x^2*y^2-x+4y	$f (x) = x^{2} \cdot y^{2} - x + 4 y$
17727	Find the Inverse	f(x)=x^2+3x-5 log base 2 of x	$f (x) = x^{2} + 3 x - 5 \log_{2} (x)$
17728	Evaluate the Function	g(-7/2)=4-3x	$g (- \frac{7}{2}) = 4 - 3 x$
17729	Solve by Substitution	3x+2y-z=-5 , x+4y+3z=5 , -2x+y+2z=3	$3 x + 2 y - z = - 5$ , $x + 4 y + 3 z = 5$ , $- 2 x + y + 2 z = 3$
17730	Solve by Substitution	-3x+5y=10 , 6x-10y=-18 , -9x+15y=28	$- 3 x + 5 y = 10$ , $6 x - 10 y = - 18$ , $- 9 x + 15 y = 28$
17731	Solve by Substitution	x+y-z=-3 , 3x-y+z=7 , x+2z=17	$x + y - z = - 3$ , $3 x - y + z = 7$ , $x + 2 z = 17$
17732	Solve by Substitution	x+y=14 , x+4y=32	$x + y = 14$ , $x + 4 y = 32$
17733	Evaluate the Difference Quotient	f(x)=(x^3-729)/(x^2-81) , x=9	$f (x) = \frac{x^{3} - 729}{x^{2} - 81}$ , $x = 9$
17734	Evaluate the Difference Quotient	f(x)=(3(x+5))/15 , x=0 , x=1	$f (x) = \frac{3 (x + 5)}{15}$ , $x = 0$ , $x = 1$
17735	Evaluate the Difference Quotient	f(x)=a/(x^4)-4 , 7/128	$f (x) = \frac{a}{x^{4}} - 4$ , $\frac{7}{128}$
17736	Evaluate the Difference Quotient	f(x)=x^2-7 , x=6	$f (x) = x^{2} - 7$ , $x = 6$
17737	Convert to Interval Notation	x>10	$x > 10$
17738	Find the Number of Possibilities	15 permute 1	${}_{15}P_{1}$
17739	Convert to Interval Notation	-x>7	$- x > 7$
17740	Convert to Interval Notation	-x-11<0	$- x - 11 < 0$
17741	Convert to Interval Notation	x-4<7	$x - 4 < 7$
17742	Convert to Interval Notation	x-8>-20	$x - 8 > - 20$
17743	Evaluate the Difference Quotient	f(x)=2-6x , f(3)=-3	$f (x) = 2 - 6 x$ , $f (3) = - 3$
17744	Evaluate the Difference Quotient	f(x)=7x , x1=0 , x2=3	$f (x) = 7 x$ , $x \cdot 1 = 0$ , $x \cdot 2 = 3$
17745	Evaluate the Difference Quotient	f(x)=9x+6y , [0,7] , [1,5] , [4,2] , [8,0]	$f (x) = 9 x + 6 y$ , $[0, 7]$ , $[1, 5]$ , $[4, 2]$ , $[8, 0]$
17746	Evaluate the Difference Quotient	f(x)=mx+b , f(0)=5 , f(3)=-4	$f (x) = m x + b$ , $f (0) = 5$ , $f (3) = - 4$
17747	Evaluate the Difference Quotient	P(A)=x , y , z	$P (A) = x$ , $y$ , $z$
17748	Evaluate the Difference Quotient	p=-1/10x+1860 , C(x)=140x+3000	$p = - \frac{1}{10} x + 1860$ , $C (x) = 140 x + 3000$
17749	Evaluate the Difference Quotient	Q(x)=-4x^2-4x+6 , Q(-4)	$Q (x) = - 4 x^{2} - 4 x + 6$ , $Q (- 4)$
17750	Evaluate the Difference Quotient	S(p)=9p+12 , 145(p)=280-9p	$S (p) = 9 p + 12$ , $145 (p) = 280 - 9 p$
17751	Evaluate the Difference Quotient	s(t)=t^2+3t , t=2	$s (t) = t^{2} + 3 t$ , $t = 2$
17752	Evaluate the Difference Quotient	y=b , f(x)=b	$y = b$ , $f (x) = b$
17753	Find the Inverse	C(x)=x^2-40x+650	$C (x) = x^{2} - 40 x + 650$
17754	Find the Inverse	f(t)=-4u(t-4)+4u(t-3)	$f (t) = - 4 u (t - 4) + 4 u (t - 3)$
17755	Find the Inverse	f(t)=9-2t	$f (t) = 9 - 2 t$
17756	Find the Inverse	f(t)=9-2x	$f (t) = 9 - 2 x$
17757	Find the Inverse	f(x)=2x^2+12x-10	$f (x) = 2 x^{2} + 12 x - 10$
17758	Find the Inverse	f(x)=( square root of 2x+3)/(x-8)	$f (x) = \frac{\sqrt{2 x + 3}}{x - 8}$
17759	Find the Inverse	f(x) = cube root of x^7	$f (x) = \sqrt[3]{x^{7}}$
17760	Find the Inverse	f(x)=2x+b	$f (x) = 2 x + b$
17761	Find the Inverse	f(x)=3x+6x	$f (x) = 3 x + 6 x$
17762	Find the Inverse	F(x)=cos(x)	$F (x) = \cos (x)$
17763	Find the Inverse	f(x)=((e^(3x))/(e^(3x)+1))	$f (x) = (\frac{e^{3 x}}{e^{3 x} + 1})$
17764	Find the Inverse	f(x)=(100-x)(300+15x)	$f (x) = (100 - x) (300 + 15 x)$
17765	Convert to Interval Notation	x-y<1	$x - y < 1$
17766	Factor	x^2+14x^(11+33-27)	$x^{2} + 14 x^{11 + 33 - 27}$
17767	Factor	-x^2+22x-85	$- x^{2} + 22 x - 85$
17768	Factor	w^3-5w^2+7w-35	$w^{3} - 5 w^{2} + 7 w - 35$
17769	Factor	x^(5/9)-x^(1/9)	$x^{\frac{5}{9}} - x^{\frac{1}{9}}$
17770	Factor	x^2-y^2-4x+4y	$x^{2} - y^{2} - 4 x + 4 y$
17771	Factor	u^2-2uv-15v^2	$u^{2} - 2 u v - 15 v^{2}$
17772	Factor	square root of m^7n^11- square root of m^11n^5+ square root of m^5n	$\sqrt{m^{7} n^{11}} - \sqrt{m^{11} n^{5}} + \sqrt{m^{5} n}$
17773	Factor	v^2+5v+6v+30	$v^{2} + 5 v + 6 v + 30$
17774	Factor	v^2-17v+70	$v^{2} - 17 v + 70$
17775	Factor	v^2-8v-v+8	$v^{2} - 8 v - v + 8$
17776	Factor	cube root of 1+ square root of 1-a- cube root of 1- square root of 1+a	$\sqrt[3]{1 + \sqrt{1 - a}} - \sqrt[3]{1 - \sqrt{1 + a}}$
17777	Factor	cube root of 625xy^3+y cube root of 40x	$\sqrt[3]{625 x y^{3}} + y \sqrt[3]{40 x}$
17778	Factor	cube root of 9a^2* cube root of 3ab	$\sqrt[3]{9 a^{2}} \cdot \sqrt[3]{3 a b}$
17779	Factor	w^2-1/16	$w^{2} - \frac{1}{16}$
17780	Factor	w^2+8w-q^2+16	$w^{2} + 8 w - q^{2} + 16$
17781	Find the Degree	10s^2t^2+4st^2-5s^3t^2	$10 s^{2} t^{2} + 4 s t^{2} - 5 s^{3} t^{2}$
17782	Find the Degree	10x^2-23xy+12y^2	$10 x^{2} - 23 x y + 12 y^{2}$
17783	Find the Degree	3g^2h^3+g^3h	$3 g^{2} h^{3} + g^{3} h$
17784	Find the Degree	3x^4y^2*(2xy^3)	$3 x^{4} y^{2} \cdot (2 x y^{3})$
17785	Find the Degree	32 3/5	$32 \frac{3}{5}$
17786	Find the Degree	3a+3a	$3 a + 3 a$
17787	Find the Degree	6x+5	$6 x + 5$
17788	Solve by Substitution	5x-6y=9 , 10x-12y=18	$5 x - 6 y = 9$ , $10 x - 12 y = 18$
17789	Solve by Substitution	d=5 , a*5=33	$d = 5$ , $a \cdot 5 = 33$
17790	Maximize the Equation given the Constraints	y=sin(x)+1 , 0<=x<=360	$y = \sin (x) + 1$ , $0 \leq x \leq 360$
17791	Determine if @POINT is a Solution	(5,8) , 4x+y=7	$(5, 8)$ , $4 x + y = 7$
17792	Solve the System of @WORD	2x+3y<=12 , 2x+y<=8	$2 x + 3 y \leq 12$ , $2 x + y \leq 8$
17793	Solve the System of @WORD	2x+y<=30 , x+2y<=24	$2 x + y \leq 30$ , $x + 2 y \leq 24$
17794	Evaluate the Function	f(0)=3x^2-2x	$f (0) = 3 x^{2} - 2 x$
17795	Simplify	((a^2+b)/(a^2b-ab^2))/(1/(a-b))	$\frac{\frac{a^{2} + b}{a^{2} b - a b^{2}}}{\frac{1}{a - b}}$
17796	Simplify	(x^2-8x+15)/(x^2-7x+10)	$\frac{x^{2} - 8 x + 15}{x^{2} - 7 x + 10}$
17797	Simplify	(2y-1)/(1-y/(2y-1))	$\frac{2 y - 1}{1 - \frac{y}{2 y - 1}}$
17798	Factor	((2m)i-2mj)*((4m)i+(2m)j)	$((2 m) i - 2 m j) \cdot ((4 m) i + (2 m) j)$
17799	Factor	(4x^2+2x+(5x-4))*2	$(4 x^{2} + 2 x + (5 x - 4)) \cdot 2$
17800	Factor	((k^2+11k+18)/(k^2+15k+54))((k^2+6k)/(k^2*(7k)+10))	$(\frac{k^{2} + 11 k + 18}{k^{2} + 15 k + 54}) (\frac{k^{2} + 6 k}{k^{2} \cdot (7 k) + 10})$