Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
149601	Simplify the Matrix	[[2,3,5],[-4,7,2]]	$[\begin{array}{c} 2 & 3 & 5 \\ - 4 & 7 & 2 \end{array}]$
149602	Find the Maximum/Minimum Value	x^2-5x+7	$x^{2} - 5 x + 7$
149603	Find the Maximum/Minimum Value	x^2-2x-4	$x^{2} - 2 x - 4$
149604	Find the Maximum/Minimum Value	-x^2-2x-6	$- x^{2} - 2 x - 6$
149605	Find the Maximum/Minimum Value	x^2-6x-4	$x^{2} - 6 x - 4$
149606	Find the Maximum/Minimum Value	x^3-3x+4	$x^{3} - 3 x + 4$
149607	Find the Maximum/Minimum Value	-14t^2+56t	$- 14 t^{2} + 56 t$
149608	Find the Maximum/Minimum Value	-16t^2+104t	$- 16 t^{2} + 104 t$
149609	Find the Maximum/Minimum Value	-(x-11)(x+3)	$- (x - 11) (x + 3)$
149610	Find the Maximum/Minimum Value	(x+12)^2-16	${(x + 12)}^{2} - 16$
149611	Find the Maximum/Minimum Value	-1/9x^2+200x	$- \frac{1}{9} x^{2} + 200 x$
149612	Find the Maximum/Minimum Value	-2x^2+720x	$- 2 x^{2} + 720 x$
149613	Find the Maximum/Minimum Value	2x^2+16x-9	$2 x^{2} + 16 x - 9$
149614	Find the Maximum/Minimum Value	2x^2-6x+5	$2 x^{2} - 6 x + 5$
149615	Find the Maximum/Minimum Value	-3x^2+30x-72	$- 3 x^{2} + 30 x - 72$
149616	Find the Maximum/Minimum Value	-5t^2+20t+60	$- 5 t^{2} + 20 t + 60$
149617	Find the Maximum/Minimum Value	-5(x+4)^2+8	$- 5 {(x + 4)}^{2} + 8$
149618	Find the Maximum/Minimum Value	-5(x-4)^2+180	$- 5 {(x - 4)}^{2} + 180$
149619	Find the Maximum/Minimum Value	-4.9t^2+50t+2	$- 4.9 t^{2} + 50 t + 2$
149620	Find the Maximum/Minimum Value	3x^2-7x+1	$3 x^{2} - 7 x + 1$
149621	Find the Maximum/Minimum Value	4cos(x)	$4 \cos (x)$
149622	Find the Maximum/Minimum Value	60-1/2x	$60 - \frac{1}{2} x$
149623	Find the Maximum/Minimum Value	x^2-12x+32	$x^{2} - 12 x + 32$
149624	Find the Maximum/Minimum Value	x^2+8x+6	$x^{2} + 8 x + 6$
149625	Find the Maximum/Minimum Value	-x^2+12x-32	$- x^{2} + 12 x - 32$
149626	Find the Maximum/Minimum Value	x(24-2x)(18-2x)	$x (24 - 2 x) (18 - 2 x)$
149627	Find the Maximum/Minimum Value	x(24-2x)(20-2x)	$x (24 - 2 x) (20 - 2 x)$
149628	Find the Inverse	x=[[4],[-1]]	$x = [\begin{array}{c} 4 \\ - 1 \end{array}]$
149629	Find the Inverse	x=[[7],[-7]]	$x = [\begin{array}{c} 7 \\ - 7 \end{array}]$
149630	Find the Inverse	[[9,7],[2,5]]	$[\begin{array}{c} 9 & 7 \\ 2 & 5 \end{array}]$
149631	Find the Inverse	[[7,-9,4],[0,3,-1],[2,-2,1]]	$[\begin{array}{c} 7 & - 9 & 4 \\ 0 & 3 & - 1 \\ 2 & - 2 & 1 \end{array}]$
149632	Find the Inverse	[[8,3],[5,2]]	$[\begin{array}{c} 8 & 3 \\ 5 & 2 \end{array}]$
149633	Find the Inverse	[[6,1],[0,4]]	$[\begin{array}{c} 6 & 1 \\ 0 & 4 \end{array}]$
149634	Find the Inverse	[[5,4],[6,5]]	$[\begin{array}{c} 5 & 4 \\ 6 & 5 \end{array}]$
149635	Find the Inverse	[[4,7],[5,9]]	$[\begin{array}{c} 4 & 7 \\ 5 & 9 \end{array}]$
149636	Find the Inverse	[[4,0],[0,4]]	$[\begin{array}{c} 4 & 0 \\ 0 & 4 \end{array}]$
149637	Find the Inverse	[[1.6,-1.9],[1.9,1.8]]	$[\begin{array}{c} 1.6 & - 1.9 \\ 1.9 & 1.8 \end{array}]$
149638	Find the Inverse	[[-1,-5],[5,4]]	$[\begin{array}{c} - 1 & - 5 \\ 5 & 4 \end{array}]$
149639	Find the Inverse	[[14,3],[2,-5]]	$[\begin{array}{c} 14 & 3 \\ 2 & - 5 \end{array}]$
149640	Find the Inverse	[[14,-7],[9,-12]]	$[\begin{array}{c} 14 & - 7 \\ 9 & - 12 \end{array}]$
149641	Find the Inverse	[[3,2],[9,6]]	$[\begin{array}{c} 3 & 2 \\ 9 & 6 \end{array}]$
149642	Find the Inverse	[[3,4],[5,6]]	$[\begin{array}{c} 3 & 4 \\ 5 & 6 \end{array}]$
149643	Find the Inverse	[[-2,-5],[4,9]]	$[\begin{array}{c} - 2 & - 5 \\ 4 & 9 \end{array}]$
149644	Find the Inverse	[[-2,2],[-9,8]]	$[\begin{array}{c} - 2 & 2 \\ - 9 & 8 \end{array}]$
149645	Find the Inverse	[[2,3],[-6,1]]	$[\begin{array}{c} 2 & 3 \\ - 6 & 1 \end{array}]$
149646	Find the Inverse	[[1,0],[2,1]]	$[\begin{array}{c} 1 & 0 \\ 2 & 1 \end{array}]$
149647	Find the Inverse	(-3,7)	$(- 3, 7)$
149648	Factor over the Complex Numbers	x^3-4x^2+4x-16	$x^{3} - 4 x^{2} + 4 x - 16$
149649	Factor over the Complex Numbers	x^3+2x^2-5x-6	$x^{3} + 2 x^{2} - 5 x - 6$
149650	Estimate	4.8*4.15	$4.8 \cdot 4.15$
149651	Verify the Identity	4+(-4)=0	$4 + (- 4) = 0$
149652	Verify the Identity	cos(x/5)sin(x/5)=1/2(sin((2x)/5))	$\cos (\frac{x}{5}) \sin (\frac{x}{5}) = \frac{1}{2} (\sin (\frac{2 x}{5}))$
149653	Verify the Identity	csc(x)(1-cos(x)^2)=sin(x)	$\csc (x (1 - \cos^{2} (x))) = \sin (x)$
149654	Verify the Identity	sin((3x)/(sin(x)cos(x)))=4cos(x)-sec(x)	$\sin (\frac{3 x}{\sin (x) \cos (x)}) = 4 \cos (x) - \sec (x)$
149655	Verify the Identity	sin(2x)=(1-cos(2x))/2	$\sin (2 x) = \frac{(1 - \cos (2 x))}{2}$
149656	Verify the Identity	sin(pi/6-x)=1/2(cos(x)- square root of 3sin(x))	$\sin (\frac{π}{6} - x) = \frac{1}{2} (\cos (x) - \sqrt{3} \sin (x))$
149657	Verify the Identity	sin(a)cos(b)=1/2(sin(a+b)+sin(a-b))	$\sin (a) \cos (b) = \frac{1}{2} (\sin (a + b) + \sin (a - b))$
149658	Factor over the Complex Numbers	-2+2i square root of 3	$- 2 + 2 i \sqrt{3}$
149659	Factor over the Complex Numbers	-4x^2-36	$- 4 x^{2} - 36$
149660	Factor over the Complex Numbers	3-719i	$3 - 719 i$
149661	Factor over the Complex Numbers	9-3i	$9 - 3 i$
149662	Factor over the Complex Numbers	8-2i	$8 - 2 i$
149663	Factor over the Complex Numbers	x^2-2x+5	$x^{2} - 2 x + 5$
149664	Factor over the Complex Numbers	100b^2-144a^4	$100 b^{2} - 144 a^{4}$
149665	Factor over the Complex Numbers	12m^2+27	$12 m^{2} + 27$
149666	Factor over the Complex Numbers	1/2+-7/2i	$\frac{1}{2} + \frac{- 7}{2} i$
149667	Evaluate Using Scientific Notation	(210^7)(210^8)	$(2 \cdot 10^{7}) (2 \cdot 10^{8})$
149668	Evaluate Using Scientific Notation	(2.4510^4)(3.2*10^2)	$(2.45 \cdot 10^{4}) \cdot (3.2 \cdot 10^{2})$
149669	Evaluate Using Scientific Notation	(1.210^-3)(4*10^5)	$(1.2 \cdot 10^{- 3}) \cdot (4 \cdot 10^{5})$
149670	Evaluate Using Scientific Notation	(1.010^4)(9.9*10^6)	$(1 \cdot 10^{4}) \cdot (9.9 \cdot 10^{6})$
149671	Evaluate Using Scientific Notation	(3.410^5)(1.210^-3)	$(3.4 \cdot 10^{5}) (1.2 \cdot 10^{- 3})$
149672	Evaluate Using Scientific Notation	(3.810^3)(9.4*10^-5)	$(3.8 \cdot 10^{3}) \cdot (9.4 \cdot 10^{- 5})$
149673	Evaluate Using Scientific Notation	(5.410^-1)(710^0)	$(5.4 \cdot 10^{- 1}) (7 \cdot 10^{0})$
149674	Evaluate Using Scientific Notation	(810^-3)(5.6*10^7)	$(8 \cdot 10^{- 3}) \cdot (5.6 \cdot 10^{7})$
149675	Evaluate Using Scientific Notation	1.2610^-3-7.00310^6	$1.26 \cdot 10^{- 3} - 7.003 \cdot 10^{6}$
149676	Evaluate Using Scientific Notation	(7.3110^25)÷6.0210^23	$7.31 \cdot 10^{25} \div 6.02 \cdot 10^{23}$
149677	Evaluate Using Scientific Notation	302÷(9.1*10^4)	$302 \div (9.1 \cdot 10^{4})$
149678	Evaluate Using Scientific Notation	(410^9)÷(1.810^6)	$4 \cdot 10^{9} \div (1.8 \cdot 10^{6})$
149679	Convert to Set Notation	x<=-4	$x \leq - 4$
149680	Convert to Set Notation	x>6	$x > 6$
149681	Convert to Set Notation	x>=-5	$x \geq - 5$
149682	Convert to Set Notation	x>=0	$x \geq 0$
149683	Convert to Set Notation	x-8>-3	$x - 8 > - 3$
149684	Convert to Set Notation	x^2-22x+121<0	$x^{2} - 22 x + 121 < 0$
149685	Convert to Set Notation	x^2+x-2>=0	$x^{2} + x - 2 \geq 0$
149686	Convert to Set Notation	x^2-2x-15>0	$x^{2} - 2 x - 15 > 0$
149687	Convert to Set Notation	\|2x-5\|<3	$\| 2 x - 5 \| < 3$
149688	Convert to Set Notation	\|2x-4\|>10	$\| 2 x - 4 \| > 10$
149689	Convert to Set Notation	4(8-2x)+2x<5(9+3x)	$4 (8 - 2 x) + 2 x < 5 (9 + 3 x)$
149690	Convert to Set Notation	3x-1>=5+x	$3 x - 1 \geq 5 + x$
149691	Convert to Set Notation	-4(x+3)<8	$- 4 (x + 3) < 8$
149692	Convert to Set Notation	-3(2x-5)>=3(x-1)	$- 3 (2 x - 5) \geq 3 (x - 1)$
149693	Write as a Function of x	y=5x-8	$y = 5 x - 8$
149694	Write as a Function of x	y=7x+3	$y = 7 x + 3$
149695	Write as a Function of x	y=90 square root of 3x+400	$y = 90 \sqrt{3 x} + 400$
149696	Write as a Function of x	y=4x-2	$y = 4 x - 2$
149697	Convert to Set Notation	(-8,5]	$(- 8, 5]$
149698	Convert to Set Notation	(-2,5)	$(- 2, 5)$
149699	Write as a Function of x	x=4/y	$x = \frac{4}{y}$
149700	Write as a Function of x	x^3+y^7=8	$x^{3} + y^{7} = 8$