Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
82801	Solve the System of @WORD	y=x+3 , y=5-x	$y = x + 3$ , $y = 5 - x$
82802	Subtract	(8y)/(y-2)-16/(y-2)	$\frac{8 y}{y - 2} - \frac{16}{y - 2}$
82803	Describe the Transformation	y = square root of 36x-36	$y = \sqrt{36 x - 36}$
82804	Subtract	8/(x^2-8x)-x/(8x-64)	$\frac{8}{x^{2} - 8 x} - \frac{x}{8 x - 64}$
82805	Subtract	(x+4)/(x^2-4)-15/(x-2)	$\frac{x + 4}{x^{2} - 4} - \frac{15}{x - 2}$
82806	Describe the Transformation	2^x+4	$2^{x} + 4$
82807	Subtract	(x+5)/(x+2)-x/(x-2)	$\frac{x + 5}{x + 2} - \frac{x}{x - 2}$
82808	Describe the Transformation	h(x)=6x^3	$h (x) = 6 x^{3}$
82809	Subtract	(x+2)/(2x^2+13x+20)-(x+3)/(2x^2+13x+20)	$\frac{x + 2}{2 x^{2} + 13 x + 20} - \frac{x + 3}{2 x^{2} + 13 x + 20}$
82810	Describe the Transformation	h(x)=\|x-1\|-7	$h (x) = \| x - 1 \| - 7$
82811	Subtract	x/(x^2-16)-7/(x^2-8x+16)	$\frac{x}{x^{2} - 16} - \frac{7}{x^{2} - 8 x + 16}$
82812	Describe the Transformation	g(x)=\|x+4\|-3	$g (x) = \| x + 4 \| - 3$
82813	Subtract	cube root of 135x- cube root of 40x	$\sqrt[3]{135 x} - \sqrt[3]{40 x}$
82814	Describe the Transformation	g(x)=1/3(x)^2	$g (x) = \frac{1}{3} {(x)}^{2}$
82815	Describe the Transformation	f(x) = square root of x-5+4	$f (x) = \sqrt{x - 5} + 4$
82816	Subtract	square root of 27- square root of 75	$\sqrt{27} - \sqrt{75}$
82817	Describe the Transformation	-\|x-3\|+2	$- \| x - 3 \| + 2$
82818	Simplify	(4s+2)(5s^2+10s+3)	$(4 s + 2) (5 s^{2} + 10 s + 3)$
82819	Describe the Transformation	y=-(x-7)^2	$y = - {(x - 7)}^{2}$
82820	Describe the Transformation	f(x)=\|x-4\|-3	$f (x) = \| x - 4 \| - 3$
82821	Solve for x	4(x-8)+10=-10	$4 (x - 8) + 10 = - 10$
82822	Simplify	( square root of 36)/( square root of 4)	$\frac{\sqrt{36}}{\sqrt{4}}$
82823	Describe the Transformation	t(x)=- square root of x-5+5	$t (x) = - \sqrt{x - 5} + 5$
82824	Multiply	(x^2-16)/(x^2-3x-4)*(x+1)/x	$\frac{x^{2} - 16}{x^{2} - 3 x - 4} \cdot \frac{x + 1}{x}$
82825	Multiply	- cube root of 2x^2y^2*(2 cube root of 15x^5y)	$- \sqrt[3]{2 x^{2} y^{2}} \cdot (2 \sqrt[3]{15 x^{5} y})$
82826	Subtract	7/(x^2-7x)-x/(7x-49)	$\frac{7}{x^{2} - 7 x} - \frac{x}{7 x - 49}$
82827	Subtract	5/(12x^2y)-11/(6xy)	$\frac{5}{12 x^{2} y} - \frac{11}{6 x y}$
82828	Determine the Possible Number of Real Roots	-2x^3=0	$- 2 x^{3} = 0$
82829	Subtract	(4x+3)/(4x)-(2x+3)/(3x)	$\frac{4 x + 3}{4 x} - \frac{2 x + 3}{3 x}$
82830	Subtract	(4b+3)/(4b)-(2b+3)/(3b)	$\frac{4 b + 3}{4 b} - \frac{2 b + 3}{3 b}$
82831	Determine the Possible Number of Real Roots	x^2+14=29	$x^{2} + 14 = 29$
82832	Determine the Possible Number of Real Roots	x^3-3x^2-33x+35=0	$x^{3} - 3 x^{2} - 33 x + 35 = 0$
82833	Determine the Possible Number of Real Roots	5x^3+5x^2-10x=0	$5 x^{3} + 5 x^{2} - 10 x = 0$
82834	Subtract	(3x-4)/(4x+5)-(5x+3)/(4x+5)	$\frac{3 x - 4}{4 x + 5} - \frac{5 x + 3}{4 x + 5}$
82835	Subtract	(3x-2)/(2x)-(x+1)/(5x)	$\frac{3 x - 2}{2 x} - \frac{x + 1}{5 x}$
82836	Subtract	-3/4-1/(2x)	$- \frac{3}{4} - \frac{1}{2 x}$
82837	Determine the Possible Number of Real Roots	2x^3+3x^3-4x+3=0	$2 x^{3} + 3 x^{3} - 4 x + 3 = 0$
82838	Subtract	(x^2-1)/(x^2-x-2)-(x-1)/(x-2)	$\frac{x^{2} - 1}{x^{2} - x - 2} - \frac{x - 1}{x - 2}$
82839	Determine the Possible Number of Real Roots	x^8-4x^7+3x^6+8x^5-15x^4+4x^3+9x^2-8x+2=0	$x^{8} - 4 x^{7} + 3 x^{6} + 8 x^{5} - 15 x^{4} + 4 x^{3} + 9 x^{2} - 8 x + 2 = 0$
82840	Subtract	1/x-2/(x^2+x)	$\frac{1}{x} - \frac{2}{x^{2} + x}$
82841	Find Where Increasing/Decreasing	y=x square root of 16-x^2	$y = x \sqrt{16 - x^{2}}$
82842	Subtract	1/(x+1)-1/(x-1)	$\frac{1}{x + 1} - \frac{1}{x - 1}$
82843	Expand Using Pascal's Triangle	(x-3)^3	${(x - 3)}^{3}$
82844	Expand Using Pascal's Triangle	(x+2)^4	${(x + 2)}^{4}$
82845	Expand Using Pascal's Triangle	(x+2)^5	${(x + 2)}^{5}$
82846	Find Where Increasing/Decreasing	y=2x^4-28x^2+29	$y = 2 x^{4} - 28 x^{2} + 29$
82847	Find the Exponential Function	(3,-2)	$(3, - 2)$
82848	Find the Exponential Function	(1,3)	$(1, 3)$
82849	Find Where Increasing/Decreasing	y = cube root of x-1+2	$y = \sqrt[3]{x - 1} + 2$
82850	Find Where Increasing/Decreasing	y=(x-8)^2-9	$y = {(x - 8)}^{2} - 9$
82851	Find Where Increasing/Decreasing	y=(x-8)^2-5	$y = {(x - 8)}^{2} - 5$
82852	Factor	f(x)=(1/2)^2	$f (x) = {(\frac{1}{2})}^{2}$
82853	Find Where Increasing/Decreasing	y=1/5(x-3)^2+4	$y = \frac{1}{5} {(x - 3)}^{2} + 4$
82854	Find the Exponential Function	(-4,3)	$(- 4, 3)$
82855	Find Where Increasing/Decreasing	y=(x-9)^2-6	$y = {(x - 9)}^{2} - 6$
82856	Find Where Increasing/Decreasing	y=0.25^x	$y = {0.25}^{x}$
82857	Find Where Increasing/Decreasing	y=5x^6-3x^4+2x-9	$y = 5 x^{6} - 3 x^{4} + 2 x - 9$
82858	Factor	f(x)=x^3+2x^2-5x-6	$f (x) = x^{3} + 2 x^{2} - 5 x - 6$
82859	Find Where Increasing/Decreasing	y=0.75(1.05)^t	$y = 0.75 {(1.05)}^{t}$
82860	Factor	f(x)=x^3+3x^2-10x-24	$f (x) = x^{3} + 3 x^{2} - 10 x - 24$
82861	Simplify	square root of 325	$\sqrt{325}$
82862	Find Where Increasing/Decreasing	y=3x^4-12x^2+13	$y = 3 x^{4} - 12 x^{2} + 13$
82863	Factor	f(x)=x^4-5x^3-9x^2+81x-108	$f (x) = x^{4} - 5 x^{3} - 9 x^{2} + 81 x - 108$
82864	Add	5/(a^2+3a+2)+(5a+1)/(a^2+3a+2)	$\frac{5}{a^{2} + 3 a + 2} + \frac{5 a + 1}{a^{2} + 3 a + 2}$
82865	Find the Circle Using the Diameter End Points	(4,6) , (2,5)	$(4, 6) (2, 5)$
82866	Find the Circle Using the Diameter End Points	(2,5) , (5,5)	$(2, 5)$ , $(5, 5)$
82867	Find the Circle Using the Diameter End Points	(8,3) , (-8,7)	$(8, 3) (- 8, 7)$
82868	Add	7/(3a)+2/5	$\frac{7}{3 a} + \frac{2}{5}$
82869	Find the Circle Using the Diameter End Points	(7,5) , (-5,-11)	$(7, 5) (- 5, - 11)$
82870	Find the Circle Using the Diameter End Points	(5,6) , (-1,8)	$(5, 6)$ , $(- 1, 8)$
82871	Solve for x	square root of 4-x> = square root of 3x+4	$\sqrt{4 - x} \geq \sqrt{3 x + 4}$
82872	Find the Circle Using the Diameter End Points	(-6,-1) , (6,1)	$(- 6, - 1)$ , $(6, 1)$
82873	Find the Roots/Zeros Using the Rational Roots Test	a(x)=x^3-4x^2-7x+28	$a (x) = x^{3} - 4 x^{2} - 7 x + 28$
82874	Find the Roots (Zeros)	f(x)=5x^3+5x^2-170x+280	$f (x) = 5 x^{3} + 5 x^{2} - 170 x + 280$
82875	Find the Roots/Zeros Using the Rational Roots Test	f(x)=10x^3-17x^2-97x+20	$f (x) = 10 x^{3} - 17 x^{2} - 97 x + 20$
82876	Find the Roots/Zeros Using the Rational Roots Test	f(x)=-11x^4-3x^3-10x^2+9x+18	$f (x) = - 11 x^{4} - 3 x^{3} - 10 x^{2} + 9 x + 18$
82877	Add	(-3x)/(x^2-9)+4/(2x-6)	$\frac{- 3 x}{x^{2} - 9} + \frac{4}{2 x - 6}$
82878	Find the Roots/Zeros Using the Rational Roots Test	f(x)=15x^3+361x^2-347x+75	$f (x) = 15 x^{3} + 361 x^{2} - 347 x + 75$
82879	Find the Roots/Zeros Using the Rational Roots Test	f(x)=-25x^5-x^4+x+5	$f (x) = - 25 x^{5} - x^{4} + x + 5$
82880	Find the Roots/Zeros Using the Rational Roots Test	f(x)=2x^3+7x^2-28x+12	$f (x) = 2 x^{3} + 7 x^{2} - 28 x + 12$
82881	Find the Roots/Zeros Using the Rational Roots Test	f(x)=-2x^3-19x^2-138x+74	$f (x) = - 2 x^{3} - 19 x^{2} - 138 x + 74$
82882	Write in Standard Form	(x+3)(x+4)(x+5)	$(x + 3) (x + 4) (x + 5)$
82883	Find the Roots/Zeros Using the Rational Roots Test	f(x)=2x^3-4x^2-34x+68	$f (x) = 2 x^{3} - 4 x^{2} - 34 x + 68$
82884	Find the Roots/Zeros Using the Rational Roots Test	f(x)=2x^3-9x^2-6x+40	$f (x) = 2 x^{3} - 9 x^{2} - 6 x + 40$
82885	Find the Roots/Zeros Using the Rational Roots Test	f(x)=2x^4-21x^3+49x^2+9x-63	$f (x) = 2 x^{4} - 21 x^{3} + 49 x^{2} + 9 x - 63$
82886	Find the Roots/Zeros Using the Rational Roots Test	f(x)=3x^3+29x^2+65x-25	$f (x) = 3 x^{3} + 29 x^{2} + 65 x - 25$
82887	Find the Roots/Zeros Using the Rational Roots Test	f(x)=3x^3+7x^2-33x-77	$f (x) = 3 x^{3} + 7 x^{2} - 33 x - 77$
82888	Find the Roots/Zeros Using the Rational Roots Test	f(x)=3x^3-6x^2-15x+30	$f (x) = 3 x^{3} - 6 x^{2} - 15 x + 30$
82889	Find the Roots/Zeros Using the Rational Roots Test	f(x)=3x^4+13x^3+x^2-13x-4	$f (x) = 3 x^{4} + 13 x^{3} + x^{2} - 13 x - 4$
82890	Write in Standard Form	5i	$5 i$
82891	Write in Standard Form	4x^2	$4 x^{2}$
82892	Find the Axis of Symmetry	f(x)=(x-1)^2-9	$f (x) = {(x - 1)}^{2} - 9$
82893	Find the Roots/Zeros Using the Rational Roots Test	f(x)=3x^4-23x^3+7x^2+47x+14	$f (x) = 3 x^{4} - 23 x^{3} + 7 x^{2} + 47 x + 14$
82894	Find the Axis of Symmetry	f(x)=(x-1)^2	$f (x) = {(x - 1)}^{2}$
82895	Find the Axis of Symmetry	f(x)=(x+3)^2-1	$f (x) = {(x + 3)}^{2} - 1$
82896	Find the Roots/Zeros Using the Rational Roots Test	f(x)=3x^5+14x^4+22x^3+12x^2-x-2	$f (x) = 3 x^{5} + 14 x^{4} + 22 x^{3} + 12 x^{2} - x - 2$
82897	Divide	7÷284	$7 \div 284$
82898	Find the Axis of Symmetry	y=x^2+4x	$y = x^{2} + 4 x$
82899	Find the Axis of Symmetry	y=x^2+2x-2	$y = x^{2} + 2 x - 2$
82900	Find the Axis of Symmetry	y=x^2+6x+9	$y = x^{2} + 6 x + 9$