Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
71101	Find the Eccentricity	24x^2+25y^2=600	$24 x^{2} + 25 y^{2} = 600$
71102	Convert to Interval Notation	x^2-22x+121<0	$x^{2} - 22 x + 121 < 0$
71103	Find the Eccentricity	25x^2-36y^2=900	$25 x^{2} - 36 y^{2} = 900$
71104	Find the Eccentricity	((x+7)^2)/16+((y-3)^2)/4=1	$\frac{{(x + 7)}^{2}}{16} + \frac{{(y - 3)}^{2}}{4} = 1$
71105	Write in Standard Form	f(x)=-2(x-3)^2+2	$f (x) = - 2 {(x - 3)}^{2} + 2$
71106	Convert to Interval Notation	x^3+12x>-8x^2	$x^{3} + 12 x > - 8 x^{2}$
71107	Write in Standard Form	f(x)=(x-6)^2(x+2)^2	$f (x) = {(x - 6)}^{2} {(x + 2)}^{2}$
71108	Write in Standard Form	f(x)=-2/9(x+3)^2+2	$f (x) = - \frac{2}{9} {(x + 3)}^{2} + 2$
71109	Convert to Interval Notation	(3x-10)/3<19/3	$\frac{3 x - 10}{3} < \frac{19}{3}$
71110	Write in Standard Form	g(x)=2(x-1)^2(x^2+5)	$g (x) = 2 {(x - 1)}^{2} (x^{2} + 5)$
71111	Convert to Interval Notation	5/(2x-7)>1	$\frac{5}{2 x - 7} > 1$
71112	Find the Inverse	f(x)=-1/2x	$f (x) = - \frac{1}{2} x$
71113	Find the Inverse	f(x)=1/(x^2)	$f (x) = \frac{1}{x^{2}}$
71114	Write in Standard Form	g(x)=2(x-3)^2(x^2+5)	$g (x) = 2 {(x - 3)}^{2} (x^{2} + 5)$
71115	Write in Standard Form	g(x)=4(x-3)^2(x^2+5)	$g (x) = 4 {(x - 3)}^{2} (x^{2} + 5)$
71116	Solve for x	2(x-3)+9=3(x+1)+x	$2 (x - 3) + 9 = 3 (x + 1) + x$
71117	Write in Standard Form	f(x)=3(x-2)^2	$f (x) = 3 {(x - 2)}^{2}$
71118	Solve for k	5t=13-(9k)/7	$5 t = 13 - \frac{9 k}{7}$
71119	Write in Standard Form	f(x)=4x+x^2	$f (x) = 4 x + x^{2}$
71120	Find the Inverse	f(x)=1/3x-5	$f (x) = \frac{1}{3} x - 5$
71121	Evaluate the Function	f(x) = square root of x , x=0	$f (x) = \sqrt{x}$ , $x = 0$
71122	Write in Standard Form	f(x)=7x+6x^2-1-3x^4	$f (x) = 7 x + 6 x^{2} - 1 - 3 x^{4}$
71123	Write in Standard Form	g(x)=(4-x^6)/3	$g (x) = \frac{4 - x^{6}}{3}$
71124	Solve by Substitution	x+y=14 , x=6y	$x + y = 14$ , $x = 6 y$
71125	Write in Standard Form	g(x)=(5-x^5)/6	$g (x) = \frac{5 - x^{5}}{6}$
71126	Write in Standard Form	g(x)=(6-x^6)/5	$g (x) = \frac{6 - x^{6}}{5}$
71127	Evaluate the Function	f(0)=3^x	$f (0) = 3^{x}$
71128	Expand the Trigonometric Expression	(4/5kj-6)^2	${(\frac{4}{5} k j - 6)}^{2}$
71129	Convert to Interval Notation	-6<2x-4<4	$- 6 < 2 x - 4 < 4$
71130	Expand the Trigonometric Expression	(x/5-y/3)^3	${(\frac{x}{5} - \frac{y}{3})}^{3}$
71131	Graph	y>=2x-1	$y \geq 2 x - 1$
71132	Expand the Trigonometric Expression	(1+x)^n	${(1 + x)}^{n}$
71133	Expand the Trigonometric Expression	(2+3w)(w^2+6w+9)	$(2 + 3 w) (w^{2} + 6 w + 9)$
71134	Expand the Trigonometric Expression	(2a-3)^2	${(2 a - 3)}^{2}$
71135	Convert to Interval Notation	5<k-2<11	$5 < k - 2 < 11$
71136	Expand the Trigonometric Expression	(2a-3b)^10	${(2 a - 3 b)}^{10}$
71137	Evaluate the Function	f(1)=3^x	$f (1) = 3^{x}$
71138	Expand the Trigonometric Expression	(2a-3b+c)^2	${(2 a - 3 b + c)}^{2}$
71139	Evaluate the Function	f(0)=x+5	$f (0) = x + 5$
71140	Expand the Trigonometric Expression	(2s+o-4n)^2	${(2 s + o - 4 n)}^{2}$
71141	Evaluate the Function	f(4)=3^x	$f (4) = 3^{x}$
71142	Expand the Trigonometric Expression	(2x^2-3x-4)^2	${(2 x^{2} - 3 x - 4)}^{2}$
71143	Graph	1/4*(y+3)=(x-2)^2	$\frac{1}{4} \cdot (y + 3) = {(x - 2)}^{2}$
71144	Expand the Trigonometric Expression	(2x-3y)^6	${(2 x - 3 y)}^{6}$
71145	Expand the Trigonometric Expression	(2x-5y)^3	${(2 x - 5 y)}^{3}$
71146	Expand the Trigonometric Expression	(2y-1)^4	${(2 y - 1)}^{4}$
71147	Convert to Interval Notation	x>-8	$x > - 8$
71148	Expand the Trigonometric Expression	(3+2x)^4	${(3 + 2 x)}^{4}$
71149	Expand the Trigonometric Expression	(3-2x)^4(7x+2)^7	${(3 - 2 x)}^{4} {(7 x + 2)}^{7}$
71150	Expand the Trigonometric Expression	(3c+2)(c^2-6c-4)	$(3 c + 2) (c^{2} - 6 c - 4)$
71151	Multiply	3.14*7^2	$3.14 \cdot 7^{2}$
71152	Expand the Trigonometric Expression	(4+h)^3	${(4 + h)}^{3}$
71153	Expand the Trigonometric Expression	(4a)^3	${(4 a)}^{3}$
71154	Expand the Trigonometric Expression	(4u+1)^4	${(4 u + 1)}^{4}$
71155	Convert to Interval Notation	-3<x<3	$- 3 < x < 3$
71156	Multiply	3.14*8^2	$3.14 \cdot 8^{2}$
71157	Expand the Trigonometric Expression	(5m+2n)(5m-2n)	$(5 m + 2 n) (5 m - 2 n)$
71158	Simplify	square root of 154	$\sqrt{154}$
71159	Expand the Trigonometric Expression	(5x-2y^3)^2	${(5 x - 2 y^{3})}^{2}$
71160	Expand the Trigonometric Expression	(5x-4y)(10x-3y-7z)	$(5 x - 4 y) (10 x - 3 y - 7 z)$
71161	Expand the Trigonometric Expression	(6x-6)^2	${(6 x - 6)}^{2}$
71162	Convert to Interval Notation	-1<9+n<17	$- 1 < 9 + n < 17$
71163	Expand the Trigonometric Expression	(a+b)^14	${(a + b)}^{14}$
71164	Simplify	sixth root of 1/64	$\sqrt[6]{\frac{1}{64}}$
71165	Solve by Substitution	3x-y=4 , 2x-3y=-9	$3 x - y = 4$ , $2 x - 3 y = - 9$
71166	Expand the Trigonometric Expression	(a+b+c)^3	${(a + b + c)}^{3}$
71167	Solve by Substitution	y=3x+7 , y=5x+8	$y = 3 x + 7$ , $y = 5 x + 8$
71168	Expand the Trigonometric Expression	(p^3)(2p^2-4p)(3p^2-1)	$(p^{3}) (2 p^{2} - 4 p) (3 p^{2} - 1)$
71169	Solve by Substitution	y=4x-1 , y=2x-5	$y = 4 x - 1$ , $y = 2 x - 5$
71170	Expand the Trigonometric Expression	(q^2-2q+5)(q^2-5)	$(q^{2} - 2 q + 5) (q^{2} - 5)$
71171	Solve by Substitution	y=x , y=-x+2	$y = x$ , $y = - x + 2$
71172	Solve by Substitution	y=x+1 , 2x+y=7	$y = x + 1$ , $2 x + y = 7$
71173	Expand the Trigonometric Expression	(x^2-y)^3	${(x^{2} - y)}^{3}$
71174	Expand the Trigonometric Expression	(x+4)	$(x + 4)$
71175	Solve by Substitution	x+y=2 , y=x^2-4x+4	$x + y = 2$ , $y = x^{2} - 4 x + 4$
71176	Expand the Trigonometric Expression	(x+4)^8	${(x + 4)}^{8}$
71177	Solve by Substitution	x+y=12 , y=2x	$x + y = 12$ , $y = 2 x$
71178	Expand the Trigonometric Expression	-(x+h)^2	$- {(x + h)}^{2}$
71179	Solve by Substitution	x+y=4 , y-x=4	$x + y = 4$ , $y - x = 4$
71180	Expand the Trigonometric Expression	(x+y)^1	${(x + y)}^{1}$
71181	Solve by Substitution	x+y=3 , y=x^2-5x+6	$x + y = 3$ , $y = x^{2} - 5 x + 6$
71182	Expand the Trigonometric Expression	(x+y+2)^2	${(x + y + 2)}^{2}$
71183	Solve by Substitution	x+y=3 , y=x^2-6x+7	$x + y = 3$ , $y = x^{2} - 6 x + 7$
71184	Expand the Trigonometric Expression	(x-10)(x+3)	$(x - 10) (x + 3)$
71185	Solve by Substitution	x+y=8 , y=-5x	$x + y = 8$ , $y = - 5 x$
71186	Expand the Trigonometric Expression	(x-2)(3x+4)	$(x - 2) (3 x + 4)$
71187	Solve by Substitution	x=3y+7 , x=2y-1	$x = 3 y + 7$ , $x = 2 y - 1$
71188	Solve by Substitution	p=6-2q , p=4+q	$p = 6 - 2 q$ , $p = 4 + q$
71189	Expand the Trigonometric Expression	(x-2y+3x)^2	${(x - 2 y + 3 x)}^{2}$
71190	Solve by Substitution	xy=2 , x^2+y^2=5	$x y = 2$ , $x^{2} + y^{2} = 5$
71191	Solve by Substitution	x-y=2 , x+y=6	$x - y = 2$ , $x + y = 6$
71192	Expand the Trigonometric Expression	(x-7)(x+3)	$(x - 7) (x + 3)$
71193	Solve by Substitution	xy=3 , x^2+y^2=10	$x y = 3$ , $x^{2} + y^{2} = 10$
71194	Expand the Trigonometric Expression	(x-y)^12	${(x - y)}^{12}$
71195	Solve by Substitution	-x-3y=9 , x+3y=9	$- x - 3 y = 9$ , $x + 3 y = 9$
71196	Expand the Trigonometric Expression	(z-k)^6	${(z - k)}^{6}$
71197	Expand the Trigonometric Expression	2(3r+7)-(2+r)	$2 (3 r + 7) - (2 + r)$
71198	Expand the Trigonometric Expression	2(3x+7)	$2 (3 x + 7)$
71199	Solve by Substitution	x+3y=-8 , 4x-3y=23	$x + 3 y = - 8$ , $4 x - 3 y = 23$
71200	Expand the Trigonometric Expression	2(3y+6)-3(-4-y)	$2 (3 y + 6) - 3 (- 4 - y)$