Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
37601	Identify the Zeros and Their Multiplicities	(x^2-9)^4	${(x^{2} - 9)}^{4}$
37602	Find the Domain and Range	f(x)=x^2-4x+1	$f (x) = x^{2} - 4 x + 1$
37603	Simplify	1/(a-b)+4/(b-a)-8/(a+b)-(11a-5b)/(b^2-a^2)	$\frac{1}{a - b} + \frac{4}{b - a} - \frac{8}{a + b} - \frac{11 a - 5 b}{b^{2} - a^{2}}$
37604	Find the Maximum Number of Real Roots	f(x)=x^6-x^4+6	$f (x) = x^{6} - x^{4} + 6$
37605	Simplify	7 square root of 2	$7 \sqrt{2}$
37606	Find the Domain and Range	f(x) = square root of x	$f (x) = \sqrt{x}$
37607	Find the Properties	f(x)=x^2+3x-4	$f (x) = x^{2} + 3 x - 4$
37608	Solve for x	x^2>=16	$x^{2} \geq 16$
37609	Solve by Substitution	2x+2y=-3 , 2x-y=5	$2 x + 2 y = - 3$ , $2 x - y = 5$
37610	Solve by Substitution	-2x+6y=6 , -7x+8y=-5	$- 2 x + 6 y = 6$ , $- 7 x + 8 y = - 5$
37611	Find the Maximum Number of Real Roots	f(x)=3x^4+5x^3-4x^2-5x-2	$f (x) = 3 x^{4} + 5 x^{3} - 4 x^{2} - 5 x - 2$
37612	Solve by Substitution	x/2-y/3=5/6 , x/5-y/4=43/10	$\frac{x}{2} - \frac{y}{3} = \frac{5}{6}$ , $\frac{x}{5} - \frac{y}{4} = \frac{43}{10}$
37613	Solve by Substitution	-6x+6y=6 , -6x+3y=-12	$- 6 x + 6 y = 6$ , $- 6 x + 3 y = - 12$
37614	Solve by Substitution	-3x-4y=2 , 3x+3y=-3	$- 3 x - 4 y = 2$ , $3 x + 3 y = - 3$
37615	Find the Vertex	x^2-6x	$x^{2} - 6 x$
37616	Simplify the Matrix	[[1,2,4],[0,1,6/7]]	$[\begin{array}{c} 1 & 2 & 4 \\ 0 & 1 & \frac{6}{7} \end{array}]$
37617	Simplify the Matrix	[[1,2],[3,4]][[-1,2],[1,0]][[5,9,7]][[2,-4],[4,0],[1,7]]	$[\begin{array}{c} 1 & 2 \\ 3 & 4 \end{array}] [\begin{array}{c} - 1 & 2 \\ 1 & 0 \end{array}] [\begin{array}{c} 5 & 9 & 7 \end{array}] [\begin{array}{c} 2 & - 4 \\ 4 & 0 \\ 1 & 7 \end{array}]$
37618	Find the Vertex	f(x)=x^2+6x-3	$f (x) = x^{2} + 6 x - 3$
37619	Find the Roots (Zeros)	2x+6=-5/x	$2 x + 6 = - \frac{5}{x}$
37620	Simplify the Matrix	[[-8,x],[7,3]]=11	$[\begin{array}{c} - 8 & x \\ 7 & 3 \end{array}] = 11$
37621	Find the Vertex	f(x)=(x-5)^2	$f (x) = {(x - 5)}^{2}$
37622	Simplify the Matrix	[[9],[5]]	$[\begin{array}{c} 9 \\ 5 \end{array}]$
37623	Find the Vertex	p(x)=x^2+6x+5	$p (x) = x^{2} + 6 x + 5$
37624	Find the Vertex	p(x)=x^2-4x+3	$p (x) = x^{2} - 4 x + 3$
37625	Solve by Addition/Elimination	-6x+6y=6 , -6x+3y=-12	$- 6 x + 6 y = 6$ , $- 6 x + 3 y = - 12$
37626	Solve by Substitution	-x+2y=8 , x-2y=-8	$- x + 2 y = 8$ , $x - 2 y = - 8$
37627	Write as a Set of Linear Factors	x^3-133x+132	$x^{3} - 133 x + 132$
37628	Solve by Substitution	x+4y+2z=1 , 5y+3z=1 , z=-3	$x + 4 y + 2 z = 1$ , $5 y + 3 z = 1$ , $z = - 3$
37629	Solve by Substitution	x+y=7 , x-y=1	$x + y = 7$ , $x - y = 1$
37630	Find the Circle Through (-2,1) with Center (-6,6)	(-6,6) , (-2,1)	$(- 6, 6) (- 2, 1)$
37631	Solve by Substitution	y=3x+1 , 3y-4x=13	$y = 3 x + 1$ , $3 y - 4 x = 13$
37632	Solve by Substitution	y=2x , x+y=12	$y = 2 x$ , $x + y = 12$
37633	Find the Circle Through (-7,-1) with Center (8,7)	(-7,-1) , (8,7)	$(- 7, - 1) (8, 7)$
37634	Find the Center and Radius	x^2+y^2+2x-8y+1=0	$x^{2} + y^{2} + 2 x - 8 y + 1 = 0$
37635	Find the Center and Radius	x^2+y^2+4x-4y-17=0	$x^{2} + y^{2} + 4 x - 4 y - 17 = 0$
37636	Convert to Scientific Notation	(0.06*1600)/0.0008	$\frac{0.06 \cdot 1600}{0.0008}$
37637	Convert to Scientific Notation	(1.8810^6)/(2.010^3)	$\frac{1.88 \cdot 10^{6}}{2 \cdot 10^{3}}$
37638	Convert to Scientific Notation	(2.6410^-3)/(8.010^0)	$\frac{2.64 \cdot 10^{- 3}}{8 \cdot 10^{0}}$
37639	Convert to Scientific Notation	(3.010^3)(5.0*10^1)	$(3 \cdot 10^{3}) \cdot (5 \cdot 10^{1})$
37640	Convert to Scientific Notation	(5.410^27000)/(1.8*10^8)	$\frac{5.4 \cdot 10^{2} \cdot 7000}{1.8 \cdot 10^{8}}$
37641	Convert to Scientific Notation	(7.8010^7)/(1.010^4)	$\frac{7.8 \cdot 10^{7}}{1 \cdot 10^{4}}$
37642	Simplify/Condense	natural log of ex	$\ln (e x)$
37643	Convert to Scientific Notation	(8.010^-3)(2.0*10^-4)	$(8 \cdot 10^{- 3}) \cdot (2 \cdot 10^{- 4})$
37644	Simplify/Condense	natural log of e^2	$\ln (e^{2})$
37645	Convert to Scientific Notation	(8.910^4)(410^8)	$(8.9 \cdot 10^{4}) (4 \cdot 10^{8})$
37646	Convert to Scientific Notation	0.00000005	$0.\overline{0}$
37647	Simplify/Condense	natural log of 1/e	$\ln (\frac{1}{e})$
37648	Convert to Scientific Notation	0.00000092	$0.0\overline{000009}$
37649	Simplify/Condense	log of 1000- log of 10	$\log (1000) - \log (10)$
37650	Convert to Scientific Notation	0.000064	$0.000064$
37651	Simplify/Condense	log base 2 of 6- log base 2 of 15+ log base 2 of 20	$\log_{2} (6) - \log_{2} (15) + \log_{2} (20)$
37652	Convert to Scientific Notation	0.002	$0.002$
37653	Simplify/Condense	log of 0.01	$\log (0.01)$
37654	Simplify/Condense	log of x- log of y	$\log (x) - \log (y)$
37655	Convert to Scientific Notation	0.00000000002	$0.\overline{0}$
37656	Expand the Logarithmic Expression	log base 14 of 14/y	$\log_{14} (\frac{14}{y})$
37657	Convert to Scientific Notation	0.0000000002	$0.\overline{0}$
37658	Expand the Logarithmic Expression	log base 3 of 12	$\log_{3} (12)$
37659	Convert to Scientific Notation	0.0000000004	$0.\overline{0}$
37660	Expand the Logarithmic Expression	log base 3 of d/12	$\log_{3} (\frac{d}{12})$
37661	Convert to Scientific Notation	0.000000026	$0.00000002$
37662	Convert to Scientific Notation	0.000000027	$0.00000002$
37663	Convert to Scientific Notation	0.00000114	$0.00000\overline{1}$
37664	Expand the Logarithmic Expression	log base 4 of 9	$\log_{4} (9)$
37665	Convert to Scientific Notation	0.000001254	$0.00000125$
37666	Convert to Scientific Notation	0.00000176	$0.0\overline{000017}$
37667	Expand the Logarithmic Expression	log base 6 of 7*11	$\log_{6} (7 \cdot 11)$
37668	Convert to Scientific Notation	0.000002954	$0.00000295$
37669	Expand the Logarithmic Expression	log base 5 of 7*3	$\log_{5} (7 \cdot 3)$
37670	Convert to Scientific Notation	0.0000043	$0.0000043$
37671	Convert to Scientific Notation	0.0000045	$0.0000045$
37672	Convert to Scientific Notation	0.0000054	$0.0000054$
37673	Convert to Scientific Notation	0.00000982	$0.0\overline{000098}$
37674	Expand the Logarithmic Expression	log base 81 of 3	$\log_{81} (3)$
37675	Convert to Scientific Notation	0.0000165	$0.0000165$
37676	Simplify/Condense	1/7 natural log of (x+2)^7+1/2( natural log of x- natural log of (x^2+3x+2)^2)	$\frac{1}{7} \ln ({(x + 2)}^{7}) + \frac{1}{2} (\ln (x) - \ln ({(x^{2} + 3 x + 2)}^{2}))$
37677	Convert to Scientific Notation	0.000023	$0.000023$
37678	Simplify/Condense	log base 4 of 1	$\log_{4} (1)$
37679	Convert to Scientific Notation	0.000024	$0.000024$
37680	Simplify/Condense	log base 4 of 7- log base 4 of 10	$\log_{4} (7) - \log_{4} (10)$
37681	Convert to Scientific Notation	0.0000439	$0.0000439$
37682	Simplify/Condense	log base 6 of 18- log base 6 of 3	$\log_{6} (18) - \log_{6} (3)$
37683	Convert to Scientific Notation	0.000053	$0.000053$
37684	Simplify/Condense	log base 8 of 4+ log base 8 of 16	$\log_{8} (4) + \log_{8} (16)$
37685	Convert to Scientific Notation	0.0000704	$0.0000704$
37686	Convert to Scientific Notation	0.000099	$0.000099$
37687	Find the Quadrant	(-2,0)	$(- 2, 0)$
37688	Convert to Scientific Notation	0.000123	$0.000123$
37689	Find the Quadrant	(4,-3)	$(4, - 3)$
37690	Convert to Scientific Notation	0.00014	$0.00014$
37691	Convert to Scientific Notation	0.000215	$0.000215$
37692	Find the Quadrant	(-3,3)	$(- 3, 3)$
37693	Convert to Scientific Notation	-0.000216	$- 0.000216$
37694	Convert to Scientific Notation	0.00026	$0.00026$
37695	Find the Slope	(4,2) , (6,2)	$(4, 2)$ , $(6, 2)$
37696	Convert to Scientific Notation	0.00036	$0.00036$
37697	Find the Slope	(-5,-2) , (3,-9)	$(- 5, - 2) (3, - 9)$
37698	Convert to Scientific Notation	0.000439	$0.000439$
37699	Solve by Graphing	3x=y+5 , 6x-5=2y	$3 x = y + 5$ , $6 x - 5 = 2 y$
37700	Convert to Scientific Notation	0.00057	$0.00057$