Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
38701	Find the Vertex Form	f(x)=3x^2+18x+20	$f (x) = 3 x^{2} + 18 x + 20$
38702	Find the Vertex Form	f(x)=2x^2-8x+12	$f (x) = 2 x^{2} - 8 x + 12$
38703	Find the Perfect Square Trinomial	y^2+8y	$y^{2} + 8 y$
38704	Find the Vertex Form	f(x)=2x^2-4x-3	$f (x) = 2 x^{2} - 4 x - 3$
38705	Find the Vertex Form	f(x)=2x^2-4x-7	$f (x) = 2 x^{2} - 4 x - 7$
38706	Find the Vertex Form	f(x)=2x^2-16x+33	$f (x) = 2 x^{2} - 16 x + 33$
38707	Find the Inverse	y=-4x^2-2	$y = - 4 x^{2} - 2$
38708	Find the Vertex Form	f(x)=2x^2-16x+35	$f (x) = 2 x^{2} - 16 x + 35$
38709	Solve for t	d=16t^2	$d = 16 t^{2}$
38710	Find the Vertex Form	f(x)=2x^2+4x+1.5	$f (x) = 2 x^{2} + 4 x + 1.5$
38711	Solve for w	39-12w=7-16w	$39 - 12 w = 7 - 16 w$
38712	Solve for w	5w+8-12w=16-15w	$5 w + 8 - 12 w = 16 - 15 w$
38713	Find the Vertex Form	f(x)=2x^2+16x+30	$f (x) = 2 x^{2} + 16 x + 30$
38714	Find the Vertex Form	f(x)=2x^2+20x+51	$f (x) = 2 x^{2} + 20 x + 51$
38715	Solve for x	(1/27)^(x-6)=27	${(\frac{1}{27})}^{x - 6} = 27$
38716	Solve for x	(1/4)^x=8^(x-1)	${(\frac{1}{4})}^{x} = 8^{x - 1}$
38717	Find the Vertex Form	f(x)=-2x^2+20x-53	$f (x) = - 2 x^{2} + 20 x - 53$
38718	Solve for x	(1/3)^x=81	${(\frac{1}{3})}^{x} = 81$
38719	Find the Vertex Form	f(x)=2x^2+12x+16	$f (x) = 2 x^{2} + 12 x + 16$
38720	Solve for x	(5/3)^x=(125/27)	${(\frac{5}{3})}^{x} = (\frac{125}{27})$
38721	Find the Vertex Form	f(x)=2x^2+12x+17	$f (x) = 2 x^{2} + 12 x + 17$
38722	Find the Vertex Form	f(x)=-2x^2+12x-20	$f (x) = - 2 x^{2} + 12 x - 20$
38723	Find the Vertex Form	f(x)=2(x^2-22x+121)+185-242	$f (x) = 2 (x^{2} - 22 x + 121) + 185 - 242$
38724	Solve for x	(x^2+x-30)/(x-5)=11	$\frac{x^{2} + x - 30}{x - 5} = 11$
38725	Find the Vertex Form	f(t)=t^2+6t-20	$f (t) = t^{2} + 6 t - 20$
38726	Solve for x	1/(x-5)=x/(x^2-25)	$\frac{1}{x - 5} = \frac{x}{x^{2} - 25}$
38727	Write the Absolute Value as Piecewise	\|5-12t\|	$\| 5 - 12 t \|$
38728	Solve for x	10^x=35	$10^{x} = 35$
38729	Write the Absolute Value as Piecewise	\|-6-7x\|	$\| - 6 - 7 x \|$
38730	Solve for x	10^x=1000	$10^{x} = 1000$
38731	Find the Factors Using the Factor Theorem	x+6 , x^3+9x^2+14x-24	$x + 6$ , $x^{3} + 9 x^{2} + 14 x - 24$
38732	Solve for x	1/2* log base 3 of x=2 log base 3 of 2	$\frac{1}{2} \cdot \log_{3} (x) = 2 \log_{3} (2)$
38733	Solve for x	1/15*(2x+5)=(x+2)/9	$\frac{1}{15} \cdot (2 x + 5) = \frac{x + 2}{9}$
38734	Find the Factors Using the Factor Theorem	x^4-2x^3-10x^2+7x+4 , x-1	$x^{4} - 2 x^{3} - 10 x^{2} + 7 x + 4$ , $x - 1$
38735	Solve for x	\|x\|=-3	$\| x \| = - 3$
38736	Find the Factors Using the Factor Theorem	x+2 , x^3+3x^2-10x-24	$x + 2$ , $x^{3} + 3 x^{2} - 10 x - 24$
38737	Solve for x	\|x-5\|=7	$\| x - 5 \| = 7$
38738	Find the Factors Using the Factor Theorem	x+2 , x^3+4x^2-4x-16	$x + 2$ , $x^{3} + 4 x^{2} - 4 x - 16$
38739	Find the Factors Using the Factor Theorem	x+3 , x^3+4x^2-9x-36	$x + 3$ , $x^{3} + 4 x^{2} - 9 x - 36$
38740	Find the Factors Using the Factor Theorem	x+3 , x^3+5x^2-9x-45	$x + 3$ , $x^{3} + 5 x^{2} - 9 x - 45$
38741	Solve for x	2^x=11	$2^{x} = 11$
38742	Find the Factors Using the Factor Theorem	x^3+10x^2+19x-30 , x+6	$x^{3} + 10 x^{2} + 19 x - 30$ , $x + 6$
38743	Solve for x	2^x=14	$2^{x} = 14$
38744	Find the Factors Using the Factor Theorem	x^3+6x^2+3x-10 , x+5	$x^{3} + 6 x^{2} + 3 x - 10$ , $x + 5$
38745	Find the Absolute Max and Min over the Interval	f(x)=x^2+4x+5 ; -1<=x<=2	$f (x) = x^{2} + 4 x + 5$ ; $- 1 \leq x \leq 2$
38746	Solve for x	2^(7x-8)=64	$2^{7 x - 8} = 64$
38747	Solve for x	2^(5x+1)=32	$2^{5 x + 1} = 32$
38748	Find the Remainder	2a^3-7a^2+8a+6 , a+1/2	$2 a^{3} - 7 a^{2} + 8 a + 6$ , $a + \frac{1}{2}$
38749	Solve for x	(2x)/3-1/2=(2x+5)/6	$\frac{2 x}{3} - \frac{1}{2} = \frac{2 x + 5}{6}$
38750	Find the Remainder	3x^4-7x^3+5x^2-11x-2 ; x+1	$3 x^{4} - 7 x^{3} + 5 x^{2} - 11 x - 2$ ; $x + 1$
38751	Solve for x	2.4^(3x+1)=9	${2.4}^{3 x + 1} = 9$
38752	Simplify	(5+3i)(2-3i)	$(5 + 3 i) (2 - 3 i)$
38753	Factor	-x^2y^2+x^4+9y^2-9x^2	$- x^{2} y^{2} + x^{4} + 9 y^{2} - 9 x^{2}$
38754	Solve for a	g=R/(p(d+a))	$g = \frac{R}{p (d + a)}$
38755	Find the Asymptotes	f(x)=(x-2)/((x-3)^2)	$f (x) = \frac{x - 2}{{(x - 3)}^{2}}$
38756	Find the Prime Factorization	684	$684$
38757	Solve for A	V=1/3*(Ah)	$V = \frac{1}{3} \cdot (A h)$
38758	Find the Prime Factorization	841	$841$
38759	Solve for a	-23=-2a-10+a	$- 23 = - 2 a - 10 + a$
38760	Find the Prime Factorization	9025	$9025$
38761	Solve for C	F=(9C)/5+32	$F = \frac{9 C}{5} + 32$
38762	Graph	y=7/4x^3	$y = \frac{7}{4} x^{3}$
38763	Find the Prime Factorization	122	$122$
38764	Solve for b	8b-7=7b-2	$8 b - 7 = 7 b - 2$
38765	Find the Prime Factorization	1176	$1176$
38766	Solve for b	A=1/2*(ab)	$A = \frac{1}{2} \cdot (a b)$
38767	Solve for b	L=(b-c)/2	$L = \frac{b - c}{2}$
38768	Find the Prime Factorization	312	$312$
38769	Solve for n	A=a+d(n-1)	$A = a + d (n - 1)$
38770	Find the Prime Factorization	3125	$3125$
38771	Solve for n	-5n-8(1+7n)=-8	$- 5 n - 8 (1 + 7 n) = - 8$
38772	Solve for n	-8n+4(1+5n)=-6n-14	$- 8 n + 4 (1 + 5 n) = - 6 n - 14$
38773	Find the Prime Factorization	376	$376$
38774	Solve for r	2(4-2r)=-2(r+5)	$2 (4 - 2 r) = - 2 (r + 5)$
38775	Find the Prime Factorization	567	$567$
38776	Solve for p	p-6=-5	$p - 6 = - 5$
38777	Find the Prime Factorization	500500	$500500$
38778	Solve for n	infinity=(na)/(nr+R)	$\infty = \frac{n a}{n r + R}$
38779	Find the Prime Factorization	520	$520$
38780	Graph	f(x)=4x^3	$f (x) = 4 x^{3}$
38781	Find the Prime Factorization	510	$510$
38782	Solve for p	6p-2-3p=16	$6 p - 2 - 3 p = 16$
38783	Find the Prime Factorization	2187	$2187$
38784	Find the Prime Factorization	151	$151$
38785	Solve for n	15^(2n-3)=245	$15^{2 n - 3} = 245$
38786	Find the Prime Factorization	1500	$1500$
38787	Solve for H	s=6LW+6WH+5HL	$s = 6 L W + 6 W H + 5 H L$
38788	Find the Prime Factorization	179	$179$
38789	Solve for x	81^(3x)=27^(x+2)	$81^{3 x} = 27^{x + 2}$
38790	Solve for x	8^x=4096	$8^{x} = 4096$
38791	Find the Determinant	[[4,1,-6],[5,-1,1],[3,4,4]]	$[\begin{array}{c} 4 & 1 & - 6 \\ 5 & - 1 & 1 \\ 3 & 4 & 4 \end{array}]$
38792	Solve for x	e^(13x-1)=(e^11)^x	$e^{13 x - 1} = {(e^{11})}^{x}$
38793	Find the Determinant	[[4,-3,5,2,4],[1,6,3,-5,-3],[7,3,-4,-4,-5],[2,-1,8,-6,7],[6,3,-5,5,-2]]	$[\begin{array}{c} 4 & - 3 & 5 & 2 & 4 \\ 1 & 6 & 3 & - 5 & - 3 \\ 7 & 3 & - 4 & - 4 & - 5 \\ 2 & - 1 & 8 & - 6 & 7 \\ 6 & 3 & - 5 & 5 & - 2 \end{array}]$
38794	Solve for x	e^(2x)=12	$e^{2 x} = 12$
38795	Solve for x	e^(5x)=7	$e^{5 x} = 7$
38796	Solve for x	e^(3x)=5	$e^{3 x} = 5$
38797	Solve for x	log base 27 of 81=x	$\log_{27} (81) = x$
38798	Solve for x	log base 27 of x=1/3	$\log_{27} (x) = \frac{1}{3}$
38799	Solve for x	log base 3 of x+ log base 3 of x-6=3	$\log_{3} (x) + \log_{3} (x - 6) = 3$
38800	Find the Determinant	[[0,6,1,9],[0,6,8,2],[3,9,5,6],[2,4,3,4]]	$[\begin{array}{c} 0 & 6 & 1 & 9 \\ 0 & 6 & 8 & 2 \\ 3 & 9 & 5 & 6 \\ 2 & 4 & 3 & 4 \end{array}]$