Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
74501	Find the Maximum/Minimum Value	R(p)=2.5p^2+450p	$R (p) = 2.5 p^{2} + 450 p$
74502	Find the Maximum/Minimum Value	R(p)=-4p^2+12000p	$R (p) = - 4 p^{2} + 12000 p$
74503	Find the Maximum/Minimum Value	R(p)=-5p^2+25000p	$R (p) = - 5 p^{2} + 25000 p$
74504	Solve for x	2x+4=12	$2 x + 4 = 12$
74505	Solve by Factoring	5-2 square root of x=11	$5 - 2 \sqrt{x} = 11$
74506	Find the Maximum/Minimum Value	r(p)=-6p^2+54000p	$r (p) = - 6 p^{2} + 54000 p$
74507	Factor	35g^2-2gh-24h^2	$35 g^{2} - 2 g h - 24 h^{2}$
74508	Find the Maximum/Minimum Value	r(p)=-7p^2+35000p	$r (p) = - 7 p^{2} + 35000 p$
74509	Solve for x	2x+5=17	$2 x + 5 = 17$
74510	Find the Maximum/Minimum Value	r(x)=2000x-2x^2	$r (x) = 2000 x - 2 x^{2}$
74511	Solve for x	2x-4y=6	$2 x - 4 y = 6$
74512	Find the Maximum/Minimum Value	R(x)=200x-0.4x^2	$R (x) = 200 x - 0.4 x^{2}$
74513	Solve for x	2x-5=4x-1	$2 x - 5 = 4 x - 1$
74514	Find the Maximum/Minimum Value	s(t)=-16t^2+20t+6	$s (t) = - 16 t^{2} + 20 t + 6$
74515	Solve for x	2x-3y=1	$2 x - 3 y = 1$
74516	Find the Maximum/Minimum Value	s(t)=-16t^2+24t+4	$s (t) = - 16 t^{2} + 24 t + 4$
74517	Solve Using the Quadratic Formula	3w*w=48	$3 w \cdot w = 48$
74518	Find the Maximum/Minimum Value	s(t)=-16t^2+96t+120	$s (t) = - 16 t^{2} + 96 t + 120$
74519	Solve for x	2x-3=9	$2 x - 3 = 9$
74520	Find the Maximum/Minimum Value	t(t)=-0.1t^2+0.6t+98.6	$t (t) = - 0.1 t^{2} + 0.6 t + 98.6$
74521	Solve for x	2x-1=7	$2 x - 1 = 7$
74522	Project Using the Transformation	A=[[17,1,8],[1,2,6]] , x=[[1],[3]]	$A = [\begin{array}{c} 17 & 1 & 8 \\ 1 & 2 & 6 \end{array}]$ , $x = [\begin{array}{c} 1 \\ 3 \end{array}]$
74523	Solve for x	2x=7	$2 x = 7$
74524	Solve for x	2x-x/2+(x+1)/4=6x	$2 x - \frac{x}{2} + \frac{x + 1}{4} = 6 x$
74525	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(0,0) , (4,1)	$(0, 0) (4, 1)$
74526	Solve for x	2 log of 4- log of 3+2 log of x-4=0	$2 \log (4) - \log (3) + 2 \log (x - 4) = 0$
74527	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-2,-1) , (0,-4)	$(- 2, - 1) (0, - 4)$
74528	Solve for x	2 natural log of x+3 natural log of 2=5	$2 \ln (x) + 3 \ln (2) = 5$
74529	Calculate the Square Root	square root of 191	$\sqrt{191}$
74530	Solve for x	2x^2-5=0	$2 x^{2} - 5 = 0$
74531	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-4,2) , (0,0)	$(- 4, 2) (0, 0)$
74532	Solve for x	2x^2+7x-6=0	$2 x^{2} + 7 x - 6 = 0$
74533	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(5.3,-2.5) , (7.3,-12.5)	$(5.3, - 2.5)$ , $(7.3, - 12.5)$
74534	Solve for x	2 log base 7 of 5+ log base 7 of x = log base 7 of 100	$2 \log_{7} (5) + \log_{7} (x) = \log_{7} (100)$
74535	Find Amplitude, Period, and Phase Shift	g(x)=10cos(6x-1)-4	$g (x) = 10 \cos (6 x - 1) - 4$
74536	Find Amplitude, Period, and Phase Shift	f(x)=tan(5x+(2pi)/3)	$f (x) = \tan (5 x + \frac{2 π}{3})$
74537	Solve for x	2 log base 3 of x=54	$2 \log_{3} (x) = 54$
74538	Solve for x	3x-x+8+5x-2=10	$3 x - x + 8 + 5 x - 2 = 10$
74539	Find Amplitude, Period, and Phase Shift	h(x)=-5cos(2pix+5)-2	$h (x) = - 5 \cos (2 π x + 5) - 2$
74540	Solve for x	4(2x-1)-3=9(x-4)	$4 (2 x - 1) - 3 = 9 (x - 4)$
74541	Solve for x	-4(6-7x)=52	$- 4 (6 - 7 x) = 52$
74542	Solve for x	4x^2+8=0	$4 x^{2} + 8 = 0$
74543	Solve for x	4x^2-8=0	$4 x^{2} - 8 = 0$
74544	Find Amplitude, Period, and Phase Shift	f(x)=sin(x/2)	$f (x) = \sin (\frac{x}{2})$
74545	Solve for x	4+9/x=5/2	$4 + \frac{9}{x} = \frac{5}{2}$
74546	Find Amplitude, Period, and Phase Shift	f(x)=-3sin(pi/4-2x)	$f (x) = - 3 \sin (\frac{π}{4} - 2 x)$
74547	Solve for x	4+3e^(5x)=27	$4 + 3 e^{5 x} = 27$
74548	Solve for x	4e^x+8=11	$4 e^{x} + 8 = 11$
74549	Find Amplitude, Period, and Phase Shift	f(x)=3cos(2x)+5	$f (x) = 3 \cos (2 x) + 5$
74550	Solve for x	4x+5=21	$4 x + 5 = 21$
74551	Solve for x	-4x+4/5=6/7	$- 4 x + \frac{4}{5} = \frac{6}{7}$
74552	Find Amplitude, Period, and Phase Shift	f(x)=1/2sin(3x)+2	$f (x) = \frac{1}{2} \sin (3 x) + 2$
74553	Solve for a	a=k/2*(m+n)	$a = \frac{k}{2} \cdot (m + n)$
74554	Solve for x	-4x+3(2x-5)=31	$- 4 x + 3 (2 x - 5) = 31$
74555	Solve for x	4x+21=-9-2x	$4 x + 21 = - 9 - 2 x$
74556	Solve for x	3x-2=6	$3 x - 2 = 6$
74557	Solve for x	3x-2=7	$3 x - 2 = 7$
74558	Solve for x	3x-12=0	$3 x - 12 = 0$
74559	Find All Complex Number Solutions	a_n=4n+4	$a_{n} = 4 n + 4$
74560	Solve for x	-3x+y=-3	$- 3 x + y = - 3$
74561	Solve for x	3x=2	$3 x = 2$
74562	Find All Complex Number Solutions	-k+0.03+1.01k=-2.45-1.81k	$- k + 0.03 + 1.01 k = - 2.45 - 1.81 k$
74563	Solve for x	-3x-8+4x=17	$- 3 x - 8 + 4 x = 17$
74564	Find All Complex Number Solutions	x^3=i	$x^{3} = i$
74565	Simplify	(x^(1/2)y^(-1/3))/(x^(1/4)y^(1/2))	$\frac{x^{\frac{1}{2}} y^{- \frac{1}{3}}}{x^{\frac{1}{4}} y^{\frac{1}{2}}}$
74566	Find All Complex Number Solutions	x^3=-i	$x^{3} = - i$
74567	Solve for x	3x-2y=-4	$3 x - 2 y = - 4$
74568	Find All Complex Number Solutions	x^4=1	$x^{4} = 1$
74569	Solve for x	3x-3=0	$3 x - 3 = 0$
74570	Find All Complex Number Solutions	x^7-3x^5+4x^2-1=0	$x^{7} - 3 x^{5} + 4 x^{2} - 1 = 0$
74571	Simplify	(8-y)/(3y)+(y+2)/(9y)-2/(6y)	$\frac{8 - y}{3 y} + \frac{y + 2}{9 y} - \frac{2}{6 y}$
74572	Solve for x	3x-4y=1	$3 x - 4 y = 1$
74573	Create a Grouped Frequency Distribution Table	22 , 28 , 29 , 34 , 36 , 42 , 44 , 57 , 58 , 60 , 61	$22$ , $28$ , $29$ , $34$ , $36$ , $42$ , $44$ , $57$ , $58$ , $60$ , $61$
74574	Solve for x	3x+6=12	$3 x + 6 = 12$
74575	Multiply the Matrices	1/2*[[12,64],[78,30]]	$\frac{1}{2} \cdot [\begin{array}{c} 12 & 64 \\ 78 & 30 \end{array}]$
74576	Solve for x	3x+4y=7	$3 x + 4 y = 7$
74577	Solve for x	3x+4y=5	$3 x + 4 y = 5$
74578	Multiply the Matrices	[[0.87,-0.5],[0.5,0.87]][[-3,2,-2],[1,4,-1]]	$[\begin{array}{c} 0.87 & - 0.5 \\ 0.5 & 0.87 \end{array}] [\begin{array}{c} - 3 & 2 & - 2 \\ 1 & 4 & - 1 \end{array}]$
74579	Solve for x	3x+4y=0	$3 x + 4 y = 0$
74580	Multiply the Matrices	[[0,0,1],[0,1,0],[1,0,0]]*[[1,0,0],[0,0,1],[0,1,0]]	$[\begin{array}{c} 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \end{array}] \cdot [\begin{array}{c} 1 & 0 & 0 \\ 0 & 0 & 1 \\ 0 & 1 & 0 \end{array}]$
74581	Solve for x	-3x+2y=2	$- 3 x + 2 y = 2$
74582	Solve for x	3x+4=19	$3 x + 4 = 19$
74583	Multiply the Matrices	[[0,0,1],[1,0,0],[0,1,0]][[0,0,1],[0,1,0],[1,0,0]]	$[\begin{array}{c} 0 & 0 & 1 \\ 1 & 0 & 0 \\ 0 & 1 & 0 \end{array}] [\begin{array}{c} 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \end{array}]$
74584	Solve for x	3ax=1/5	$3 a x = \frac{1}{5}$
74585	Solve for x	3 natural log of x=18	$3 \ln (x) = 18$
74586	Multiply the Matrices	[[0,1,0],[0,0,1],[1,0,0]][[0,1,0],[1,0,0],[0,0,1]]	$[\begin{array}{c} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0 \end{array}] [\begin{array}{c} 0 & 1 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 1 \end{array}]$
74587	Solve for x	3x+1=16	$3 x + 1 = 16$
74588	Solve for x	36+15x=17x	$36 + 15 x = 17 x$
74589	Solve for x	log of x=-2	$\log (x) = - 2$
74590	Solve for x	7(x+1)=4-2(7x+5)	$7 (x + 1) = 4 - 2 (7 x + 5)$
74591	Solve for x	7(5x-2)=6(6x-1)	$7 (5 x - 2) = 6 (6 x - 1)$
74592	Solve for x	7x^2-3x-2=0	$7 x^{2} - 3 x - 2 = 0$
74593	Solve for x	7x+3y=21	$7 x + 3 y = 21$
74594	Multiply the Matrices	[[1,2,0],[0,-1,7],[2,-3,-1]]*[[2,0,5],[0,2,0],[3,1,5]]	$[\begin{array}{c} 1 & 2 & 0 \\ 0 & - 1 & 7 \\ 2 & - 3 & - 1 \end{array}] \cdot [\begin{array}{c} 2 & 0 & 5 \\ 0 & 2 & 0 \\ 3 & 1 & 5 \end{array}]$
74595	Solve for x	8x-(3x+2)=3x-10	$8 x - (3 x + 2) = 3 x - 10$
74596	Solve for x	8x=24	$8 x = 24$
74597	Solve for x	8x=4	$8 x = 4$
74598	Solve for x	8x+48=3x-12	$8 x + 48 = 3 x - 12$
74599	Multiply the Matrices	[[1,2],[1,3]][[3,4,0,18,1,5],[15,5,2,5,11,18]]	$[\begin{array}{c} 1 & 2 \\ 1 & 3 \end{array}] [\begin{array}{c} 3 & 4 & 0 & 18 & 1 & 5 \\ 15 & 5 & 2 & 5 & 11 & 18 \end{array}]$
74600	Solve for x	natural log of 8x-1=2	$\ln (8 x - 1) = 2$