Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
151901	Solve for l	k=l/(m-l)	$k = \frac{l}{m - l}$
151902	Solve for l	F=(lt)/d	$F = \frac{l t}{d}$
151903	Solve for l	s=(l(a+c))/2	$s = \frac{l (a + c)}{2}$
151904	Solve for l	s=pirl	$s = π r l$
151905	Solve for l	S=2lw+2wh+2hl	$S = 2 l w + 2 w h + 2 h l$
151906	Solve for L	t=4 square root of L/5.7	$t = 4 \sqrt{\frac{L}{5.7}}$
151907	Find Where Increasing/Decreasing	y = cube root of x-4+1	$y = \sqrt[3]{x - 4} + 1$
151908	Find Where Increasing/Decreasing	y=x^2+6x+8	$y = x^{2} + 6 x + 8$
151909	Find Where Increasing/Decreasing	y=x^2-6x+5	$y = x^{2} - 6 x + 5$
151910	Determine the Possible Number of Real Roots	-2x^2-3x-6=0	$- 2 x^{2} - 3 x - 6 = 0$
151911	Determine if f is the Inverse Function of h	f=((2,3),(4,5),(7,6)) , h=((3,2),(4,5),(6,7))	$f = ((2, 3), (4, 5), (7, 6))$ , $h = ((3, 2), (4, 5), (6, 7))$
151912	Solve for v1	t=(v_2-v_1)/a	$t = \frac{v_{2} - v_{1}}{a}$
151913	Simplify the Matrix	[[4,7],[-5,1]]-6[[-3,-2],[0,6]]	$[\begin{array}{c} 4 & 7 \\ - 5 & 1 \end{array}] - 6 [\begin{array}{c} - 3 & - 2 \\ 0 & 6 \end{array}]$
151914	Find the Product	f(x)=x^2 , g(x)=x-5	$f (x) = x^{2}$ , $g (x) = x - 5$
151915	Determine if the Expression is a Perfect Square	3x^2-18x+81	$3 x^{2} - 18 x + 81$
151916	Determine if the Expression is a Perfect Square	30	$30$
151917	Determine if the Expression is a Perfect Square	11	$11$
151918	Determine if the Expression is a Perfect Square	9x^2-16y^2	$9 x^{2} - 16 y^{2}$
151919	Find the Roots/Zeros Using the Rational Roots Test	w^4-w^3-11w^2-w-12	$w^{4} - w^{3} - 11 w^{2} - w - 12$
151920	Find the Roots/Zeros Using the Rational Roots Test	-7x^4-12x^3+9x^2-17x+3	$- 7 x^{4} - 12 x^{3} + 9 x^{2} - 17 x + 3$
151921	Convert to Rectangular	3(cos(pi/12)+isin(pi/12))	$3 (\cos (\frac{π}{12}) + i \sin (\frac{π}{12}))$
151922	Convert to Rectangular	2(cos(315)+isin(315))	$2 (\cos (315) + i \sin (315))$
151923	Convert to Rectangular	rcos(x)=4	$r \cos (x) = 4$
151924	Divide Using Long Division	819÷17	$819 \div 17$
151925	Find the Slope and y-intercept	C(m)=50m+79.50	$C (m) = 50 m + 79.5$
151926	Find the Slope and y-intercept	f(x)=4-8/9x	$f (x) = 4 - \frac{8}{9} x$
151927	Find the Slope and y-intercept	f(x)=-6x+5	$f (x) = - 6 x + 5$
151928	Find the Slope and y-intercept	f(x)=6x-1	$f (x) = 6 x - 1$
151929	Find the Slope and y-intercept	g(x)=1/4x-3	$g (x) = \frac{1}{4} x - 3$
151930	Find the Slope and y-intercept	f(x)=x-2	$f (x) = x - 2$
151931	Find the Slope and y-intercept	f(x)=x-9	$f (x) = x - 9$
151932	Write as a Function of x	(x-3)^(2/3)=49	${(x - 3)}^{\frac{2}{3}} = 49$
151933	Write as a Function of x	x/12-7=x/4	$\frac{x}{12} - 7 = \frac{x}{4}$
151934	Write as a Function of x	-(3/2)^x+12=2x-3	$- {(\frac{3}{2})}^{x} + 12 = 2 x - 3$
151935	Write as a Function of x	(x+yi)-(2-3i)=-6+4i	$(x + y i) - (2 - 3 i) = - 6 + 4 i$
151936	Write as a Function of x	2*3^((2x)/7)=30	$2 \cdot 3^{\frac{2 x}{7}} = 30$
151937	Write as a Function of x	5y+ cube root of x=(x-5)^2	$5 y + \sqrt[3]{x} = {(x - 5)}^{2}$
151938	Write as a Function of x	f(x)=\|x\|	$f (x) = \| x \|$
151939	Write as a Function of x	f(x)=0	$f (x) = 0$
151940	Write as a Function of x	f(x)=4^x	$f (x) = 4^{x}$
151941	Write as a Function of x	6xy=1	$6 x y = 1$
151942	Write as a Function of x	y=(3x+5)/(7x-1)	$y = \frac{3 x + 5}{7 x - 1}$
151943	Write as a Function of x	y = square root of x+6	$y = \sqrt{x + 6}$
151944	Write as a Function of x	y=- square root of 36-x^2	$y = - \sqrt{36 - x^{2}}$
151945	Write as a Function of x	x^2+(y- cube root of x^2)^2=1	$x^{2} + {(y - \sqrt[3]{x^{2}})}^{2} = 1$
151946	Write as a Function of x	-x^2+2x-4y=-2y	$- x^{2} + 2 x - 4 y = - 2 y$
151947	Write as a Function of x	x=9/y	$x = \frac{9}{y}$
151948	Write as a Function of x	x=3y^4	$x = 3 y^{4}$
151949	Write as a Function of x	x=-4y	$x = - 4 y$
151950	Convert to Set Notation	(-1,4) intersect [0,8]	$(- 1, 4) \cap [0, 8]$
151951	Convert to Set Notation	(negative infinity,5) intersect (-6,8) intersect [1,6]	$(- \infty, 5) \cap (- 6, 8) \cap [1, 6]$
151952	Convert to Set Notation	(negative infinity,7.7)	$(- \infty, 7.7)$
151953	Convert to Set Notation	1/(x-10)<0	$\frac{1}{x - 10} < 0$
151954	Convert to Set Notation	(1,0)	$(1, 0)$
151955	Convert to Set Notation	(-2,4) intersect [-1,7]	$(- 2, 4) \cap [- 1, 7]$
151956	Convert to Set Notation	(-3,4)	$(- 3, 4)$
151957	Convert to Set Notation	[-2,7)	$[- 2, 7)$
151958	Convert to Set Notation	(x-7)(x+4)>0	$(x - 7) (x + 4) > 0$
151959	Convert to Set Notation	[-4,9)	$[- 4, 9)$
151960	Convert to Set Notation	[-7,2)	$[- 7, 2)$
151961	Convert to Set Notation	(-4,4)	$(- 4, 4)$
151962	Convert to Set Notation	(-3,7]	$(- 3, 7]$
151963	Convert to Set Notation	(-6,-2)	$(- 6, - 2)$
151964	Convert to Set Notation	x/14-3/7>=2	$\frac{x}{14} - \frac{3}{7} \geq 2$
151965	Solve Using an Augmented Matrix	5x-4y-6z=-3 , x-3y+z=-1 , -3x-6y+7z=1	$5 x - 4 y - 6 z = - 3$ , $x - 3 y + z = - 1$ , $- 3 x - 6 y + 7 z = 1$
151966	Write as a Function of x	y=b^x	$y = b^{x}$
151967	Write as a Function of y	-2y^2+x+24y=80	$- 2 y^{2} + x + 24 y = 80$
151968	Write as a Function of y	y=7/x	$y = \frac{7}{x}$
151969	Convert to Set Notation	3(x-4)>=5x+2	$3 (x - 4) \geq 5 x + 2$
151970	Convert to Set Notation	\|x\|>15	$\| x \| > 15$
151971	Convert to Set Notation	-3x>=15	$- 3 x \geq 15$
151972	Convert to Set Notation	[-7,7)	$[- 7, 7)$
151973	Convert to Set Notation	\|4x\|>8	$\| 4 x \| > 8$
151974	Convert to Set Notation	x^2-x-12>=0	$x^{2} - x - 12 \geq 0$
151975	Convert to Set Notation	x^2+x-6>0	$x^{2} + x - 6 > 0$
151976	Convert to Set Notation	x^2-14x+49<0	$x^{2} - 14 x + 49 < 0$
151977	Convert to Set Notation	x^2+6x+9<0	$x^{2} + 6 x + 9 < 0$
151978	Convert to Set Notation	x^2+2x-8<0	$x^{2} + 2 x - 8 < 0$
151979	Convert to Set Notation	8x+6<5x+4	$8 x + 6 < 5 x + 4$
151980	Evaluate Using Scientific Notation	((910^-20)(4.110^35))/(1.2*10^40)	$\frac{(9 \cdot 10^{- 20}) (4.1 \cdot 10^{35})}{1.2 \cdot 10^{40}}$
151981	Evaluate Using Scientific Notation	(110^15)/(810^4)	$\frac{1 \cdot 10^{15}}{8 \cdot 10^{4}}$
151982	Evaluate Using Scientific Notation	((0.0002)(24000))/0.0050	$\frac{(0.0002) (24000)}{0.005}$
151983	Convert to Set Notation	x+8<11	$x + 8 < 11$
151984	Evaluate Using Scientific Notation	(8.9110^2)(3.310^12)	$(8.91 \cdot 10^{2}) (3.3 \cdot 10^{12})$
151985	Evaluate Using Scientific Notation	(9.710^6)(410^8)	$(9.7 \cdot 10^{6}) (4 \cdot 10^{8})$
151986	Evaluate Using Scientific Notation	(9.310^-3)-(6.910^-4)	$(9.3 \cdot 10^{- 3}) - (6.9 \cdot 10^{- 4})$
151987	Evaluate Using Scientific Notation	(8.510^10)(3.710^-5)	$(8.5 \cdot 10^{10}) (3.7 \cdot 10^{- 5})$
151988	Evaluate Using Scientific Notation	(8.810^2)(2.2510^-2)	$(8.8 \cdot 10^{2}) (2.25 \cdot 10^{- 2})$
151989	Evaluate Using Scientific Notation	(710^8)(910^6)	$(7 \cdot 10^{8}) (9 \cdot 10^{6})$
151990	Evaluate Using Scientific Notation	(6.9310^1)(2.010^-4)	$(6.93 \cdot 10^{1}) (2 \cdot 10^{- 4})$
151991	Evaluate Using Scientific Notation	(5.810^5)(6.410^2)	$(5.8 \cdot 10^{5}) (6.4 \cdot 10^{2})$
151992	Evaluate Using Scientific Notation	(6.0210^23)(8.6510^4)	$(6.02 \cdot 10^{23}) (8.65 \cdot 10^{4})$
151993	Evaluate Using Scientific Notation	(410^-6)(9.1*10^3)	$(4 \cdot 10^{- 6}) \cdot (9.1 \cdot 10^{3})$
151994	Evaluate Using Scientific Notation	(4.1110^5)(8.6510^-5)	$(4.11 \cdot 10^{5}) (8.65 \cdot 10^{- 5})$
151995	Evaluate Using Scientific Notation	(4.210^2)÷(1.510^3)	$(4.2 \cdot 10^{2}) \div (1.5 \cdot 10^{3})$
151996	Evaluate Using Scientific Notation	(4.210^8)+(5.910^9)	$(4.2 \times 10^{8}) + (5.9 \times 10^{9})$
151997	Evaluate Using Scientific Notation	(4.310^6)(9.8*10^-4)	$(4.3 \cdot 10^{6}) \cdot (9.8 \cdot 10^{- 4})$
151998	Evaluate Using Scientific Notation	(3.510^-2)(910^4)	$(3.5 \cdot 10^{- 2}) (9 \cdot 10^{4})$
151999	Evaluate Using Scientific Notation	(3.210^5)(1.410^-2)	$(3.2 \cdot 10^{5}) (1.4 \cdot 10^{- 2})$
152000	Evaluate Using Scientific Notation	(2.610^4)(4.510^12)	$(2.6 \cdot 10^{4}) (4.5 \cdot 10^{12})$