Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
140501	Determine if Dependent, Independent, or Inconsistent	y=6x+9 , y=12+6x	$y = 6 x + 9$ , $y = 12 + 6 x$
140502	Determine if Dependent, Independent, or Inconsistent	y=x+43x+5y=10	$y = x + 43 x + 5 y = 10$
140503	Determine if Dependent, Independent, or Inconsistent	y-3x=53(x+1)=y-2	$y - 3 x = 53 (x + 1) = y - 2$
140504	Determine if Dependent, Independent, or Inconsistent	x+3y=0 , 15y=-5x	$x + 3 y = 0$ , $15 y = - 5 x$
140505	Determine if Dependent, Independent, or Inconsistent	x+3y=0 , 18y=-6x	$x + 3 y = 0$ , $18 y = - 6 x$
140506	Determine if Dependent, Independent, or Inconsistent	-x+5y=5x-5y=5	$- x + 5 y = 5 x - 5 y = 5$
140507	Determine if Dependent, Independent, or Inconsistent	x+y=14 2x-2y=14	$x + y = 14$ $2 x - 2 y = 14$
140508	Determine if Dependent, Independent, or Inconsistent	x+y=22x+2y=4	$x + y = 22 x + 2 y = 4$
140509	Find the Quadrant	(2pi,-12)	$(2 π, - 12)$
140510	Find the Quadrant	(-2,9)	$(- 2, 9)$
140511	Find the Quadrant	(-1,- square root of 3)	$(- 1, - \sqrt{3})$
140512	Find the Quadrant	( square root of 3,-1)	$(\sqrt{3}, - 1)$
140513	Find the Quadrant	(1.5,-2.6)	$(1.5, - 2.6)$
140514	Find the Quadrant	(-6,-8)	$(- 6, - 8)$
140515	Find the Quadrant	(6,9)	$(6, 9)$
140516	Find the Quadrant	(-6,-2)	$(- 6, - 2)$
140517	Determine if Dependent, Independent, or Inconsistent	2x-10y=8 , 3x-15y=12	$2 x - 10 y = 8$ , $3 x - 15 y = 12$
140518	Determine if Dependent, Independent, or Inconsistent	2x-3y=4-4x+6y=-8	$2 x - 3 y = 4 - 4 x + 6 y = - 8$
140519	Determine if Dependent, Independent, or Inconsistent	2x-y=5y=2x-5	$2 x - y = 5 y = 2 x - 5$
140520	Determine if Dependent, Independent, or Inconsistent	2x-y=7y=2x-7	$2 x - y = 7 y = 2 x - 7$
140521	Determine if Dependent, Independent, or Inconsistent	-3x+2y+4z=18x+6y-3z=-264x+4y-7z=-44	$- 3 x + 2 y + 4 z = 18 x + 6 y - 3 z = - 264 x + 4 y - 7 z = - 44$
140522	Determine if Dependent, Independent, or Inconsistent	2x-5y=-14-4x+8y=20	$2 x - 5 y = - 14 - 4 x + 8 y = 20$
140523	Determine if Dependent, Independent, or Inconsistent	2x-6y=10 , 3x-9y=15	$2 x - 6 y = 10$ , $3 x - 9 y = 15$
140524	Determine if Dependent, Independent, or Inconsistent	2x-6y=8 3x-9y=12	$2 x - 6 y = 8$ $3 x - 9 y = 12$
140525	Determine if Dependent, Independent, or Inconsistent	2x-6y=4 , 3x-9y=6	$2 x - 6 y = 4$ , $3 x - 9 y = 6$
140526	Determine if Dependent, Independent, or Inconsistent	1/2y=-x+52y=-4x+20	$\frac{1}{2} y = - x + 52 y = - 4 x + 20$
140527	Determine if Dependent, Independent, or Inconsistent	7/2x+7/3y=21/21/4x+1/3y=5/4	$\frac{7}{2} x + \frac{7}{3} y = \frac{21}{2} \frac{1}{4} x + \frac{1}{3} y = \frac{5}{4}$
140528	Determine if Dependent, Independent, or Inconsistent	2x+5y=-2110x+25y=-105	$2 x + 5 y = - 2110 x + 25 y = - 105$
140529	Determine if Dependent, Independent, or Inconsistent	-2x+4y=6-10x+20y=30	$- 2 x + 4 y = 6 - 10 x + 20 y = 30$
140530	Determine if Dependent, Independent, or Inconsistent	12x+3y-10=0 , 8x=7-5y	$12 x + 3 y - 10 = 0$ , $8 x = 7 - 5 y$
140531	Determine if Dependent, Independent, or Inconsistent	12x-10y=26x-5y=2	$12 x - 10 y = 26 x - 5 y = 2$
140532	Determine if Dependent, Independent, or Inconsistent	1/2x+1/4y=74x+2y=56	$\frac{1}{2} x + \frac{1}{4} y = 74 x + 2 y = 56$
140533	Find the Domain and Range	g(x)=2^x+1	$g (x) = 2^{x} + 1$
140534	Find the Domain and Range	f(x)=x^3-6	$f (x) = x^{3} - 6$
140535	Find the Domain and Range	f(x)=x^2-5x+6	$f (x) = x^{2} - 5 x + 6$
140536	Find the Domain and Range	f(x) = log base 7 of x	$f (x) = \log_{7} (x)$
140537	Find the Domain and Range	f(x)=3x	$f (x) = 3 x$
140538	Write in Standard Form	3+2/3x=3/4	$3 + \frac{2}{3} x = \frac{3}{4}$
140539	Find the Leading Term	(x+y)^9	${(x + y)}^{9}$
140540	Find the Domain and Range	f(x)=1/2x-3	$f (x) = \frac{1}{2} x - 3$
140541	Write in Exponential Form	log base 2 of x=6	$\log_{2} (x) = 6$
140542	Write in Exponential Form	sixth root of b^5	$\sqrt[6]{b^{5}}$
140543	Find the Second Derivative	y=mx+b	$y = m x + b$
140544	Evaluate the Piecewise Function	f(x)=-2x-1,x<=2; -x+4,x>2	$f (x) = {\begin{cases} - 2 x - 1, x \leq 2 \\ - x + 4, x > 2 \end{cases}$
140545	Evaluate the Piecewise Function	f(x)=-3x,x<0; 4,x=0; x^2,x>0	$f (x) = {\begin{cases} - 3 x, x < 0 \\ 4, x = 0 \\ x^{2}, x > 0 \end{cases}$
140546	Graph the Union (or)	4x+2>14 , -21x+1>22	$4 x + 2 > 14$ , $- 21 x + 1 > 22$
140547	Find the Degree	tan(0)=( square root of 3)/3	$\tan (0) = \frac{\sqrt{3}}{3}$
140548	Find the Degree	tan(x)=7/6	$\tan (x) = \frac{7}{6}$
140549	Find the Degree	tan(x)=1/3	$\tan (x) = \frac{1}{3}$
140550	Find the Degree	sin(x)=12/13	$\sin (x) = \frac{12}{13}$
140551	Find the Degree	sin(0)=( square root of 2)/2	$\sin (0) = \frac{\sqrt{2}}{2}$
140552	Find the Degree	t=-(7pi)/4	$t = - \frac{7 π}{4}$
140553	Find the Degree	sin(x)=7/25	$\sin (x) = \frac{7}{25}$
140554	Find the Degree	cos(B)=0.3125	$\cos (B) = 0.3125$
140555	Find the Degree	cos(x)=0.4	$\cos (x) = 0.4$
140556	Find the Degree	2sin(2x)+1=0	$2 \sin (2 x) + 1 = 0$
140557	Find the Degree	7cos(5x)+9=12	$7 \cos (5 x) + 9 = 12$
140558	Find the Degree	2cos(theta)=1	$2 \cos (θ) = 1$
140559	Find the Maximum Number of Real Roots	f(x)=x^5-2x^3+7x^2+2x-2	$f (x) = x^{5} - 2 x^{3} + 7 x^{2} + 2 x - 2$
140560	Find the Maximum Number of Real Roots	p(x)=(x^3-8)(x-2)	$p (x) = (x^{3} - 8) (x - 2)$
140561	Find the Maximum Number of Real Roots	f(x)=25x^2-10x+1	$f (x) = 25 x^{2} - 10 x + 1$
140562	Graph the Intersection (and)	18x-9<9 , 2x-4>-10	$18 x - 9 < 9$ , $2 x - 4 > - 10$
140563	Find the Product	f(x)=x-6g(x)=x^(1/2)(x+3)	$f (x) = x - 6 g (x) = x^{\frac{1}{2}} (x + 3)$
140564	Find the Product	f(y)=(2y^3-y^2+2y-1)/(y^3-y^2+y-1) , g(y)=(2y^2-3y+1)/(4y^2-4y+1)	$f (y) = \frac{2 y^{3} - y^{2} + 2 y - 1}{y^{3} - y^{2} + y - 1}$ , $g (y) = \frac{2 y^{2} - 3 y + 1}{4 y^{2} - 4 y + 1}$
140565	Graph the Intersection (and)	4x-18>2 , -17x-8<=-25	$4 x - 18 > 2$ , $- 17 x - 8 \leq - 25$
140566	Find the Product	f(x)=5-x , g(x)=x^2-3x	$f (x) = 5 - x$ , $g (x) = x^{2} - 3 x$
140567	Find the Circle Through (5,-2) with Center (1,-6)	(1,-6) , (5,-2)	$(1, - 6) (5, - 2)$
140568	Find the Circle Through (5,-6) with Center (1,-1)	(1,-1) , (5,-6)	$(1, - 1) (5, - 6)$
140569	Find the Product	f(x) = square root of x^2+12x+36g(x)=x^3-12	$f (x) = \sqrt{x^{2} + 12 x + 36} g (x) = x^{3} - 12$
140570	Find the Product	f(x)=3x+1 , g(x)=x^2-6	$f (x) = 3 x + 1$ , $g (x) = x^{2} - 6$
140571	Find the Product	f(x)=3x+8 ; g(x)=9x-2	$f (x) = 3 x + 8$ ; $g (x) = 9 x - 2$
140572	Evaluate the Integral	integral from o to infinity of square root of ye^(-y^3) with respect to y	$\int_{o}^{\infty} \sqrt{y} e^{- y^{3}} d y$
140573	Evaluate the Integral	integral of (2x^2+6x) with respect to x	$\int (2 x^{2} + 6 x) d x$
140574	Write as a Set of Linear Factors	7x^3-x^2-77x+11	$7 x^{3} - x^{2} - 77 x + 11$
140575	Write as a Set of Linear Factors	x^3+3x^2-12x-18	$x^{3} + 3 x^{2} - 12 x - 18$
140576	Write as a Set of Linear Factors	x^3+5x^2-2x-10	$x^{3} + 5 x^{2} - 2 x - 10$
140577	Write as a Set of Linear Factors	x^3-3x^2-7x-3	$x^{3} - 3 x^{2} - 7 x - 3$
140578	Write as a Set of Linear Factors	x^3-4x^2+3x+2	$x^{3} - 4 x^{2} + 3 x + 2$
140579	Write as a Set of Linear Factors	x^3-5x^2+6x-2	$x^{3} - 5 x^{2} + 6 x - 2$
140580	Write as a Set of Linear Factors	x^3-11x^2+21x+49	$x^{3} - 11 x^{2} + 21 x + 49$
140581	Simplify the Matrix	[[-1,3,1,0],[0,0,2,0],[-2,2,-2,3],[3,-1,3,0]]	$[\begin{array}{c} - 1 & 3 & 1 & 0 \\ 0 & 0 & 2 & 0 \\ - 2 & 2 & - 2 & 3 \\ 3 & - 1 & 3 & 0 \end{array}]$
140582	Simplify the Matrix	[[1,2,3,4,5],[6,7,8,9,10],[11,12,13,14,15],[16,17,18,19,20],[21,22,23,24,25]]	$[\begin{array}{c} 1 & 2 & 3 & 4 & 5 \\ 6 & 7 & 8 & 9 & 10 \\ 11 & 12 & 13 & 14 & 15 \\ 16 & 17 & 18 & 19 & 20 \\ 21 & 22 & 23 & 24 & 25 \end{array}]$
140583	Simplify the Matrix	[[11],[3]]	$[\begin{array}{c} 11 \\ 3 \end{array}]$
140584	Write as a Set of Linear Factors	x^4-6x^3-44x^2-58x-21	$x^{4} - 6 x^{3} - 44 x^{2} - 58 x - 21$
140585	Write as a Set of Linear Factors	x^4-9x^3-x^2+9x	$x^{4} - 9 x^{3} - x^{2} + 9 x$
140586	Write as a Set of Linear Factors	x^3-9x^2+25x-21	$x^{3} - 9 x^{2} + 25 x - 21$
140587	Write as a Set of Linear Factors	x^3-9x^2+22x-12	$x^{3} - 9 x^{2} + 22 x - 12$
140588	Write as a Set of Linear Factors	x^4-10x^3-70x^2-110x-51	$x^{4} - 10 x^{3} - 70 x^{2} - 110 x - 51$
140589	Write as a Set of Linear Factors	x^4-4x^3+13x^2-36x+36	$x^{4} - 4 x^{3} + 13 x^{2} - 36 x + 36$
140590	Simplify the Matrix	[[1,0,2,7],[0,1,-2,5],[0,0,0,-3]]	$[\begin{array}{c} 1 & 0 & 2 & 7 \\ 0 & 1 & - 2 & 5 \\ 0 & 0 & 0 & - 3 \end{array}]$
140591	Simplify the Matrix	[[1,0,5,1],[0,1,-3,4],[0,0,0,0]]	$[\begin{array}{c} 1 & 0 & 5 & 1 \\ 0 & 1 & - 3 & 4 \\ 0 & 0 & 0 & 0 \end{array}]$
140592	Evaluate the Integral	integral of (3x+6)(x+2) with respect to x	$\int (3 x + 6) (x + 2) d x$
140593	Evaluate the Integral	integral of (5x^4+8x^3+9x^2+4x+3) with respect to x	$\int (5 x^{4} + 8 x^{3} + 9 x^{2} + 4 x + 3) d x$
140594	Evaluate the Integral	integral of (6x^2+4x) with respect to x	$\int (6 x^{2} + 4 x) d x$
140595	Evaluate the Integral	integral of (10+0.01x-0.001x^2) with respect to x	$\int (10 + 0.01 x - 0.001 x^{2}) d x$
140596	Simplify the Matrix	5[[6,1,2,-6]]-[[1,6,-6,6]]	$5 [\begin{array}{c} 6 & 1 & 2 & - 6 \end{array}] - [\begin{array}{c} 1 & 6 & - 6 & 6 \end{array}]$
140597	Simplify the Matrix	A=[[1,1],[2,6]]B=[[-1,9],[6,-2]]	$A = [\begin{array}{c} 1 & 1 \\ 2 & 6 \end{array}] B = [\begin{array}{c} - 1 & 9 \\ 6 & - 2 \end{array}]$
140598	Simplify the Matrix	table[[x,y],[-20,-268],[-14,-196],[-8,-124]]	$\begin{array}{c} x & y \\ - 20 & - 268 \\ - 14 & - 196 \\ - 8 & - 124 \end{array}$
140599	Simplify the Matrix	-3y[[-2x,-y],[-4y,-3x]]	$- 3 y [\begin{array}{c} - 2 x & - y \\ - 4 y & - 3 x \end{array}]$
140600	Simplify the Matrix	3[[3/2,0,-2],[3,1/2,2]]+2[[-4,5/2,2/3],[1/3,1,2]]	$3 [\begin{array}{c} \frac{3}{2} & 0 & - 2 \\ 3 & \frac{1}{2} & 2 \end{array}] + 2 [\begin{array}{c} - 4 & \frac{5}{2} & \frac{2}{3} \\ \frac{1}{3} & 1 & 2 \end{array}]$