Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
52901	Find the End Behavior	f(x)=-2(x-4)^2(x^2-1)	$f (x) = - 2 {(x - 4)}^{2} (x^{2} - 1)$
52902	Solve by Substitution	25x^2+36y^2=900 , 6y+5x=30	$25 x^{2} + 36 y^{2} = 900$ , $6 y + 5 x = 30$
52903	Find the End Behavior	f(x)=x^4+10x^3+25x^2	$f (x) = x^{4} + 10 x^{3} + 25 x^{2}$
52904	Solve by Substitution	2x+3y=4 , 4x+6y=8	$2 x + 3 y = 4$ , $4 x + 6 y = 8$
52905	Solve by Substitution	2x+3y=5 , 4x+6y=10	$2 x + 3 y = 5$ , $4 x + 6 y = 10$
52906	Find the End Behavior	f(x)=3x^5-2x^2+7x	$f (x) = 3 x^{5} - 2 x^{2} + 7 x$
52907	Solve by Substitution	x/2-y/3=5/6 , x/5-y/4=-13/10	$\frac{x}{2} - \frac{y}{3} = \frac{5}{6}$ , $\frac{x}{5} - \frac{y}{4} = - \frac{13}{10}$
52908	Solve by Substitution	x^2+y^2=1 , x^2-y^2=1	$x^{2} + y^{2} = 1$ , $x^{2} - y^{2} = 1$
52909	Solve by Substitution	x^2+y^2=13 , x-y=1	$x^{2} + y^{2} = 13$ , $x - y = 1$
52910	Find the End Behavior	g(x)=x^3-x^2-4x+4	$g (x) = x^{3} - x^{2} - 4 x + 4$
52911	Solve by Substitution	x^2+y^2=16 , y^2-2x^2=10	$x^{2} + y^{2} = 16$ , $y^{2} - 2 x^{2} = 10$
52912	Find the End Behavior	f(x)=4x^5-3x^2+2x	$f (x) = 4 x^{5} - 3 x^{2} + 2 x$
52913	Solve by Substitution	7x+2y=-19 , -x+2y=21	$7 x + 2 y = - 19$ , $- x + 2 y = 21$
52914	Find the End Behavior	f(x)=-x(2x+1)(x+2)	$f (x) = - x (2 x + 1) (x + 2)$
52915	Solve by Substitution	5x+4y=-14 , 3x+6y=6	$5 x + 4 y = - 14$ , $3 x + 6 y = 6$
52916	Solve by Substitution	4x+5y=4 , 8x+10y=8	$4 x + 5 y = 4$ , $8 x + 10 y = 8$
52917	Solve by Substitution	3x-7y=27 , -5x+4y=-45	$3 x - 7 y = 27$ , $- 5 x + 4 y = - 45$
52918	Find the End Behavior	P(x)=2.75x^4-3x^2+5x+2	$P (x) = 2.75 x^{4} - 3 x^{2} + 5 x + 2$
52919	Solve by Substitution	3x-5y=17 , 9x-15y=-4	$3 x - 5 y = 17$ , $9 x - 15 y = - 4$
52920	Find the End Behavior	q(x)=10x^8-x^6+4x^5-9x^3	$q (x) = 10 x^{8} - x^{6} + 4 x^{5} - 9 x^{3}$
52921	Solve by Substitution	3x-4y=9 , -3x+2y=9	$3 x - 4 y = 9$ , $- 3 x + 2 y = 9$
52922	Find the End Behavior	f(x)=4x^3-2x^2-2x-2	$f (x) = 4 x^{3} - 2 x^{2} - 2 x - 2$
52923	Solve by Substitution	3x=4y+1 , 3y=1-4x	$3 x = 4 y + 1$ , $3 y = 1 - 4 x$
52924	Solve by Substitution	2y=-7x+3 , -7x-6y=5	$2 y = - 7 x + 3$ , $- 7 x - 6 y = 5$
52925	Find the Center	((x-3)^2)/16+((y+1)^2)/4=1	$\frac{{(x - 3)}^{2}}{16} + \frac{{(y + 1)}^{2}}{4} = 1$
52926	Find the Center	((x-1)^2)/625+((y+1)^2)/225=1	$\frac{{(x - 1)}^{2}}{625} + \frac{{(y + 1)}^{2}}{225} = 1$
52927	Find the Vertex	f(x)=2x^2-7x-4	$f (x) = 2 x^{2} - 7 x - 4$
52928	Find the Vertex	f(x)=x^2-6x-2	$f (x) = x^{2} - 6 x - 2$
52929	Find the Center	((y+5)^2)/121+((x-9)^2)/49=1	$\frac{{(y + 5)}^{2}}{121} + \frac{{(x - 9)}^{2}}{49} = 1$
52930	Find the Center	25x^2+64y^2=1600	$25 x^{2} + 64 y^{2} = 1600$
52931	Find the Vertex	f(x)=x^2-81	$f (x) = x^{2} - 81$
52932	Find the Vertex	f(x)=x^2-10x	$f (x) = x^{2} - 10 x$
52933	Find the Function Rule	table[[x,y],[6,9.6],[14,22.4],[22,35.2]]	$\begin{array}{c} x & y \\ 6 & 9.6 \\ 14 & 22.4 \\ 22 & 35.2 \end{array}$
52934	Graph	y=3x^2+6x+1	$y = 3 x^{2} + 6 x + 1$
52935	Find the Function Rule	table[[x,y],[-2,2],[-1,1],[1,1]]	$\begin{array}{c} x & y \\ - 2 & 2 \\ - 1 & 1 \\ 1 & 1 \end{array}$
52936	Graph	y+7=-3(x-1)^2	$y + 7 = - 3 {(x - 1)}^{2}$
52937	Find the Function Rule	table[[x,y],[1,5],[5,10],[9,15]]	$\begin{array}{c} x & y \\ 1 & 5 \\ 5 & 10 \\ 9 & 15 \end{array}$
52938	Find the Function Rule	table[[x,y],[-6,252],[-5,175],[-4,112]]	$\begin{array}{c} x & y \\ - 6 & 252 \\ - 5 & 175 \\ - 4 & 112 \end{array}$
52939	Find the Function Rule	table[[x,y],[-2,-0.5],[-1,-1],[1,1]]	$\begin{array}{c} x & y \\ - 2 & - 0.5 \\ - 1 & - 1 \\ 1 & 1 \end{array}$
52940	Simplify	square root of 1296	$\sqrt{1296}$
52941	Find the Function Rule	table[[x,y],[1,4],[2,16],[3,64]]	$\begin{array}{c} x & y \\ 1 & 4 \\ 2 & 16 \\ 3 & 64 \end{array}$
52942	Find the Vertex	f(x)=(x-5)^2-4	$f (x) = {(x - 5)}^{2} - 4$
52943	Find the Maximum/Minimum Value	f(x)=x^2+2x-8	$f (x) = x^{2} + 2 x - 8$
52944	Find the Maximum/Minimum Value	f(x)=x^2+4x-5	$f (x) = x^{2} + 4 x - 5$
52945	Find the Maximum/Minimum Value	h(t)=112t-16t^2	$h (t) = 112 t - 16 t^{2}$
52946	Find the Function Rule	table[[x,y],[1,-4],[3,-1],[4,3]]	$\begin{array}{c} x & y \\ 1 & - 4 \\ 3 & - 1 \\ 4 & 3 \end{array}$
52947	Find the Function Rule	table[[x,y],[2,12.50],[4,25.00],[6,37.50]]	$\begin{array}{c} x & y \\ 2 & 12.5 \\ 4 & 25 \\ 6 & 37.5 \end{array}$
52948	Find the Function Rule	table[[x,y],[1,55],[2,90],[3,125]]	$\begin{array}{c} x & y \\ 1 & 55 \\ 2 & 90 \\ 3 & 125 \end{array}$
52949	Solve by Substitution	x+2y=13 , 3x-5y=6	$x + 2 y = 13$ , $3 x - 5 y = 6$
52950	Find the Function Rule	table[[x,y],[-2,16],[1,4],[2,0]]	$\begin{array}{c} x & y \\ - 2 & 16 \\ 1 & 4 \\ 2 & 0 \end{array}$
52951	Solve by Substitution	x+3y=3 , -x-3y=-3	$x + 3 y = 3$ , $- x - 3 y = - 3$
52952	Solve by Substitution	x-4y=8 , -x+4y=8	$x - 4 y = 8$ , $- x + 4 y = 8$
52953	Find the Function Rule	table[[x,y],[5,40],[7,52],[9,64]]	$\begin{array}{c} x & y \\ 5 & 40 \\ 7 & 52 \\ 9 & 64 \end{array}$
52954	Solve by Substitution	x-4y=4 , -x+4y=4	$x - 4 y = 4$ , $- x + 4 y = 4$
52955	Solve by Substitution	x+y=12 , x-y=2	$x + y = 12$ , $x - y = 2$
52956	Find the Axis of Symmetry	10(x-5)^2-37	$10 {(x - 5)}^{2} - 37$
52957	Solve by Substitution	x+y=12 , y=3x	$x + y = 12$ , $y = 3 x$
52958	Find the Axis of Symmetry	P(x)=(x-4)^2	$P (x) = {(x - 4)}^{2}$
52959	Solve by Substitution	y=2x+3 , 5x-y=-3	$y = 2 x + 3$ , $5 x - y = - 3$
52960	Find the Axis of Symmetry	-x^2+2x-5	$- x^{2} + 2 x - 5$
52961	Solve by Substitution	y=8-x , 7=2-y	$y = 8 - x$ , $7 = 2 - y$
52962	Find the Axis of Symmetry	f(x)=x^2+6x-4	$f (x) = x^{2} + 6 x - 4$
52963	Solve by Substitution	y=4x , x+y=5	$y = 4 x$ , $x + y = 5$
52964	Find the Axis of Symmetry	f(x)=-x^2-8x-23	$f (x) = - x^{2} - 8 x - 23$
52965	Find the Center and Radius	(x+3)^2+(y-2)^2=13	${(x + 3)}^{2} + {(y - 2)}^{2} = 13$
52966	Find the Center and Radius	(x+2)^2+y^2=36	${(x + 2)}^{2} + y^{2} = 36$
52967	Find the Axis of Symmetry	f(x)=-6x^2+4x-1	$f (x) = - 6 x^{2} + 4 x - 1$
52968	Find the Center and Radius	x^2+y^2-3x-6y+9=0	$x^{2} + y^{2} - 3 x - 6 y + 9 = 0$
52969	Find the Axis of Symmetry	f(x)=1/7(x+7)^2+7	$f (x) = \frac{1}{7} {(x + 7)}^{2} + 7$
52970	Simplify	(3a^2-7xy)(3a^2+7xy)	$(3 a^{2} - 7 x y) (3 a^{2} + 7 x y)$
52971	Find the Center and Radius	x^2+y^2-8x+6y+16=0	$x^{2} + y^{2} - 8 x + 6 y + 16 = 0$
52972	Find the Axis of Symmetry	f(x)=x^2-9x+20	$f (x) = x^{2} - 9 x + 20$
52973	Simplify	fourth root of (16x^6y^4)/(81x^2y^8)	$\sqrt[4]{\frac{16 x^{6} y^{4}}{81 x^{2} y^{8}}}$
52974	Find the Axis of Symmetry	g(x)=3x^2+12x+15	$g (x) = 3 x^{2} + 12 x + 15$
52975	Find the Axis of Symmetry	f(x)=x^2-8x-20	$f (x) = x^{2} - 8 x - 20$
52976	Find the Axis of Symmetry	f(x)=x^2-6x+12	$f (x) = x^{2} - 6 x + 12$
52977	Simplify/Condense	natural log of x+ natural log of 10	$\ln (x) + \ln (10)$
52978	Simplify/Condense	natural log of x+ natural log of 5	$\ln (x) + \ln (5)$
52979	Simplify/Condense	8 natural log of x+9-4 natural log of x	$8 \ln (x + 9) - 4 \ln (x)$
52980	Find the Axis of Symmetry	f(x)=x^2+4x+10	$f (x) = x^{2} + 4 x + 10$
52981	Simplify/Condense	log of 3+ log of 5	$\log (3) + \log (5)$
52982	Simplify/Condense	log of 200+ log of 5	$\log (200) + \log (5)$
52983	Find the Axis of Symmetry	f(x)=4(x-2)^2-1	$f (x) = 4 {(x - 2)}^{2} - 1$
52984	Simplify/Condense	log of 100+ log of 1000	$\log (100) + \log (1000)$
52985	Simplify/Condense	log of 64	$\log (64)$
52986	Find the Axis of Symmetry	8x-x^2-7	$8 x - x^{2} - 7$
52987	Expand the Logarithmic Expression	log base 11 of 11/y	$\log_{11} (\frac{11}{y})$
52988	Expand the Logarithmic Expression	log base 15 of 15/y	$\log_{15} (\frac{15}{y})$
52989	Expand the Logarithmic Expression	log base 15 of 14	$\log_{15} (14)$
52990	Find the Axis of Symmetry	h(x)=4x-x^2-1	$h (x) = 4 x - x^{2} - 1$
52991	Expand the Logarithmic Expression	log base 3 of 14	$\log_{3} (14)$
52992	Find the Axis of Symmetry	f(x)=10x^2+40x+42	$f (x) = 10 x^{2} + 40 x + 42$
52993	Expand the Logarithmic Expression	log base 3 of 5y	$\log_{3} (5 y)$
52994	Find the Axis of Symmetry	f(x)=-3x^2-24x-45	$f (x) = - 3 x^{2} - 24 x - 45$
52995	Expand the Logarithmic Expression	log base 2 of xy	$\log_{2} (x y)$
52996	Expand the Logarithmic Expression	log base 2 of 12	$\log_{2} (12)$
52997	Expand the Logarithmic Expression	log base 4 of xy	$\log_{4} (x y)$
52998	Find the Axis of Symmetry	-x^2-6x-13	$- x^{2} - 6 x - 13$
52999	Expand the Logarithmic Expression	log base 5 of ( square root of x)/25	$\log_{5} (\frac{\sqrt{x}}{25})$
53000	Expand the Logarithmic Expression	log base 4 of 4x	$\log_{4} (4 x)$