Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
17401	Solve by Substitution	2x=-7y-13 , -6x-5y=-9	$2 x = - 7 y - 13$ , $- 6 x - 5 y = - 9$
17402	Find the Distance Between Two Points	(-2,3) , (3,-10)	$(- 2, 3) (3, - 10)$
17403	Find the Distance Between Two Points	(2,-3) , (-1,0)	$(2, - 3)$ , $(- 1, 0)$
17404	Find the Distance Between Two Points	(2,3) , (5,0)	$(2, 3)$ , $(5, 0)$
17405	Find the Distance Between Two Points	(2,3) , (-4,7)	$(2, 3)$ , $(- 4, 7)$
17406	Find the Distance Between Two Points	(-2,3) , (7,-3)	$(- 2, 3)$ , $(7, - 3)$
17407	Find the Distance Between Two Points	(-2,4) , (1,5)	$(- 2, 4) (1, 5)$
17408	Find the Distance Between Two Points	(-2,5) , (4,6)	$(- 2, 5)$ , $(4, 6)$
17409	Find the Distance Between Two Points	(2,8) , (5,6)	$(2, 8)$ , $(5, 6)$
17410	Find the Distance Between Two Points	(-2,9) , (6,3)	$(- 2, 9) (6, 3)$
17411	Find the Distance Between Two Points	(213,33) , (100,153)	$(213, 33)$ , $(100, 153)$
17412	Find the Distance Between Two Points	(-1,10) , (2,6)	$(- 1, 10)$ , $(2, 6)$
17413	Find the Distance Between Two Points	(1,-2) , (5,3)	$(1, - 2) (5, 3)$
17414	Find the Distance Between Two Points	(1,-3) , (-2,4)	$(1, - 3) (- 2, 4)$
17415	Find the Distance Between Two Points	(1,3) , (2,7)	$(1, 3)$ , $(2, 7)$
17416	Find the Distance Between Two Points	(-1,4) , (3,-5)	$(- 1, 4) (3, - 5)$
17417	Find the Distance Between Two Points	(-1,4) , (6,5)	$(- 1, 4) (6, 5)$
17418	Find the Distance Between Two Points	(1,5) , (8,11)	$(1, 5)$ , $(8, 11)$
17419	Find the Distance Between Two Points	(-10,-7) , (-6,5)	$(- 10, - 7)$ , $(- 6, 5)$
17420	Find the Distance Between Two Points	(-17,-9) , (-5,-4)	$(- 17, - 9) (- 5, - 4)$
17421	Find the Distance Between Two Points	(2,0) , (2,5)	$(2, 0)$ , $(2, 5)$
17422	Find the Distance Between Two Points	(-2,0) , (2,-2)	$(- 2, 0)$ , $(2, - 2)$
17423	Find the Distance Between Two Points	(-2,-1) , (4,-8)	$(- 2, - 1) (4, - 8)$
17424	Find the Midpoint	(1,6) , (4,-3)	$(1, 6) (4, - 3)$
17425	Find the Midpoint	(-2,0) , (3,3)	$(- 2, 0)$ , $(3, 3)$
17426	Find the Midpoint	(2,3) , (-3,7)	$(2, 3) (- 3, 7)$
17427	Find the Midpoint	(2,-6) , (3,-7)	$(2, - 6)$ , $(3, - 7)$
17428	Find the Midpoint	(-2,9) , (7,27)	$(- 2, 9)$ , $(7, 27)$
17429	Find the Midpoint	(2,9) , (-1,6)	$(2, 9)$ , $(- 1, 6)$
17430	Find the Midpoint	(-3,4) , (5,2)	$(- 3, 4)$ , $(5, 2)$
17431	Find the Midpoint	(3,6) , (12,18)	$(3, 6)$ , $(12, 18)$
17432	Find the Midpoint	(3,6) , (15,22)	$(3, 6)$ , $(15, 22)$
17433	Find the Midpoint	(3,8) , (-2,-7)	$(3, 8)$ , $(- 2, - 7)$
17434	Find the Midpoint	(5,0) , (0,-19)	$(5, 0) (0, - 19)$
17435	Find the Midpoint	(-5,-1) , (4,-6)	$(- 5, - 1) (4, - 6)$
17436	Find the Midpoint	(-5,-7) , (-10,8)	$(- 5, - 7) (- 10, 8)$
17437	Find the Midpoint	(7,0) , (0,-7)	$(7, 0) (0, - 7)$
17438	Find the Midpoint	(9,12) , (21,18)	$(9, 12)$ , $(21, 18)$
17439	Find the Distance Between Two Points	(0,2) , (2,-2)	$(0, 2)$ , $(2, - 2)$
17440	Find the Distance Between Two Points	(0,-8) , (2,4)	$(0, - 8) (2, 4)$
17441	Find the Distance Between Two Points	(0,-9) , (7,9)	$(0, - 9) (7, 9)$
17442	Find the Maximum Number of Real Roots	0.49	$0.49$
17443	Find the Maximum Number of Real Roots	0.50x+0.85y	$0.5 x + 0.85 y$
17444	Find the Maximum Number of Real Roots	25 square root of 3	$25 \sqrt{3}$
17445	Find the Inverse	f(x)=4+(x+3)^2	$f (x) = 4 + {(x + 3)}^{2}$
17446	Find the Inverse	f(x)=4x-1 natural log of 4x-1ax=2	$f (x) = 4 x - 1 \ln (4 x - 1 a x) = 2$
17447	Find the Maximum Number of Real Roots	(5z^2-3z+11)/(2z+1)	$\frac{5 z^{2} - 3 z + 11}{2 z + 1}$
17448	Find the Maximum Number of Real Roots	(5a+35)/(a^2-49)	$\frac{5 a + 35}{a^{2} - 49}$
17449	Find the Maximum Number of Real Roots	square root of (9y^2)/(64x^2)	$\sqrt{\frac{9 y^{2}}{64 x^{2}}}$
17450	Find the Maximum Number of Real Roots	square root of 121a^4b^10	$\sqrt{121 a^{4} b^{10}}$
17451	Find the Maximum Number of Real Roots	square root of -15	$\sqrt{- 15}$
17452	Find the Maximum Number of Real Roots	cube root of -64x^6	$\sqrt[3]{- 64 x^{6}}$
17453	Find the Maximum Number of Real Roots	fifth root of (xy)^3	$\sqrt[5]{{(x y)}^{3}}$
17454	Find the Maximum Number of Real Roots	r(x)=x(90-x)	$r (x) = x (90 - x)$
17455	Find the Maximum Number of Real Roots	(-1/( square root of 2)+1/( square root of 2)*i)^123	${(- \frac{1}{\sqrt{2}} + \frac{1}{\sqrt{2}} \cdot i)}^{123}$
17456	Find the Maximum Number of Real Roots	(x^3+kx^2+(k+1)x+k+9)/(x-3)	$\frac{x^{3} + k x^{2} + (k + 1) x + k + 9}{x - 3}$
17457	Find the Maximum Number of Real Roots	f(x)=-5x+1	$f (x) = - 5 x + 1$
17458	Find the Maximum Number of Real Roots	f(x)=-5x+3	$f (x) = - 5 x + 3$
17459	Find the Maximum Number of Real Roots	f(x)=6(x^4-2x^2+2x-4)	$f (x) = 6 (x^{4} - 2 x^{2} + 2 x - 4)$
17460	Find the Maximum Number of Real Roots	f(x)=cos(x)	$f (x) = \cos (x)$
17461	Find the Maximum Number of Real Roots	f(x)=0.2x^3+0.3x^2-1.2x+0.3	$f (x) = 0.2 x^{3} + 0.3 x^{2} - 1.2 x + 0.3$
17462	Find the Maximum Number of Real Roots	f(x)=-0.3x^3-0.6x^2+3x-4	$f (x) = - 0.3 x^{3} - 0.6 x^{2} + 3 x - 4$
17463	Find the Maximum Number of Real Roots	n(n-1)-5	$n (n - 1) - 5$
17464	Find the Maximum Number of Real Roots	x-intercepts	$x - i n t e r c e pts$
17465	Find the Upper and Lower Bounds	30000e^(-0.7*3)	$30000 e^{- 0.7 \cdot 3}$
17466	Find the Upper and Lower Bounds	f(x)=(2x^2-5)^-4	$f (x) = {(2 x^{2} - 5)}^{- 4}$
17467	Find the Upper and Lower Bounds	f(x) = square root of x	$f (x) = \sqrt{x}$
17468	Find the Upper and Lower Bounds	f(x)=x^2	$f (x) = x^{2}$
17469	Find the Upper and Lower Bounds	f(x)=x^2+2	$f (x) = x^{2} + 2$
17470	Find the Upper and Lower Bounds	f(x)=-x^2+6x^2-9x+6	$f (x) = - x^{2} + 6 x^{2} - 9 x + 6$
17471	Find the Upper and Lower Bounds	f(x)=x^2-1	$f (x) = x^{2} - 1$
17472	Find the Upper and Lower Bounds	f(x)=2x^2-5x	$f (x) = 2 x^{2} - 5 x$
17473	Find the Upper and Lower Bounds	f(x)=3 log of x	$f (x) = 3 \log (x)$
17474	Find the Upper and Lower Bounds	f(x)=-5+3	$f (x) = - 5 + 3$
17475	Find the Upper and Lower Bounds	f(x)=5 log of 3x	$f (x) = 5 \log (3) x$
17476	Find the Upper and Lower Bounds	f(x)=arcsin( square root of x+ square root of x)	$f (x) = \arcsin (\sqrt{x + \sqrt{x}})$
17477	Find the Upper and Lower Bounds	f(x)=-x+sin(x)	$f (x) = - x + \sin (x)$
17478	Find the Upper and Lower Bounds	g(x)=-1 log of x	$g (x) = - 1 \log (x)$
17479	Find the Upper and Lower Bounds	g(x)=-8	$g (x) = - 8$
17480	Find the Upper and Lower Bounds	h(m)=m^2-3m	$h (m) = m^{2} - 3 m$
17481	Find the Upper and Lower Bounds	S(t)=-16t^2+96(0)t+168(0)	$S (t) = - 16 t^{2} + 96 (0) t + 168 (0)$
17482	Find the Upper and Lower Bounds	v(x) = square root of -x-9	$v (x) = \sqrt{- x - 9}$
17483	Find the Upper and Lower Bounds	y = log base 2 of x-9	$y = \log_{2} (x - 9)$
17484	Find the Upper and Lower Bounds	y=-x^3+2x^2+4x-3	$y = - x^{3} + 2 x^{2} + 4 x - 3$
17485	Find the Upper and Lower Bounds	y=2x+3	$y = 2 x + 3$
17486	Find the Roots (Zeros)	f(x)=2x-5	$f (x) = 2 x - 5$
17487	Find the Roots (Zeros)	f(x)=5/6x	$f (x) = \frac{5}{6} x$
17488	Find the Roots (Zeros)	f(x)=-2x+6	$f (x) = - 2 x + 6$
17489	Find the Roots (Zeros)	f(x)=2x-12	$f (x) = 2 x - 12$
17490	Find the Roots (Zeros)	f(x)=2x-4	$f (x) = 2 x - 4$
17491	Find the Roots (Zeros)	f(x)=-2x-5	$f (x) = - 2 x - 5$
17492	Find the Roots (Zeros)	f(x)=2x-8	$f (x) = 2 x - 8$
17493	Find the Roots (Zeros)	f(x)=3x-5	$f (x) = 3 x - 5$
17494	Find the Roots (Zeros)	f(x)=5(2x+3)	$f (x) = 5 (2 x + 3)$
17495	Find the Roots (Zeros)	f(x)=-5x	$f (x) = - 5 x$
17496	Find the Roots (Zeros)	f(x)=6-4x	$f (x) = 6 - 4 x$
17497	Find the Roots (Zeros)	R(x)=60(3x-4)	$R (x) = 60 (3 x - 4)$
17498	Find the Roots (Zeros)	s(p)=220p-936	$s (p) = 220 p - 936$
17499	Evaluate Using the Remainder Theorem	S(p)=9p+12 , 145(p)=280-9p	$S (p) = 9 p + 12$ , $145 (p) = 280 - 9 p$
17500	Evaluate Using the Remainder Theorem	f(x)=x^3-2x^2-x+2 , f(1)	$f (x) = x^{3} - 2 x^{2} - x + 2$ , $f (1)$