Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
126301	Find Amplitude, Period, and Phase Shift	f(t)=2cos(t-pi/3)-1	$f (t) = 2 \cos (t - \frac{π}{3}) - 1$
126302	Find Amplitude, Period, and Phase Shift	v(t)=0.5sin(820pit)	$v (t) = 0.5 \sin (820 π t)$
126303	Determine the Possible Number of Real Roots	f(x)=6x^3-7x^2+x+3	$f (x) = 6 x^{3} - 7 x^{2} + x + 3$
126304	Determine the Possible Number of Real Roots	f(x)=5x^7-3x^2+x+7	$f (x) = 5 x^{7} - 3 x^{2} + x + 7$
126305	Find the Possible Factors	-324	$- 324$
126306	Find the Possible Factors	-192	$- 192$
126307	Find the Possible Factors	640	$640$
126308	Find the Possible Factors	338	$338$
126309	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-5,-5) , (0,0)	$(- 5, - 5)$ , $(0, 0)$
126310	Find the Other Trig Values in Quadrant I	csc(x)>0	$\csc (x) > 0$
126311	Find the Other Trig Values in Quadrant I	sin(0)=2/5	$\sin (0) = \frac{2}{5}$
126312	Find the Other Trig Values in Quadrant III	csc(x)=-6/5	$\csc (x) = - \frac{6}{5}$
126313	Find the Other Trig Values in Quadrant II	cos(30)=-1	$\cos (30) = - 1$
126314	Find the Other Trig Values in Quadrant II	sin(0)=2/5	$\sin (0) = \frac{2}{5}$
126315	Find the Other Trig Values in Quadrant IV	sec(x)=8/5	$\sec (x) = \frac{8}{5}$
126316	Find the Other Trig Values in Quadrant IV	csc(x)=-6/5	$\csc (x) = - \frac{6}{5}$
126317	Find the Other Trig Values in Quadrant IV	sin(t)=-12/13	$\sin (t) = - \frac{12}{13}$
126318	Find the Vertex	2x^2-16x+3	$2 x^{2} - 16 x + 3$
126319	Find the Vertex	3x^2-30x+74	$3 x^{2} - 30 x + 74$
126320	Find the Vertex	(x-3)^2+8	${(x - 3)}^{2} + 8$
126321	Find the Vertex	-(x+1)^2-3	$- {(x + 1)}^{2} - 3$
126322	Find the Vertex	x^2+10x-7	$x^{2} + 10 x - 7$
126323	Find the Vertex	-5(x+9)^2	$- 5 {(x + 9)}^{2}$
126324	Find the Vertex	-2x^2+10x-7	$- 2 x^{2} + 10 x - 7$
126325	Find the Vertex	(x-3)^2-5	${(x - 3)}^{2} - 5$
126326	Find the Vertex	(x+4)^2-16	${(x + 4)}^{2} - 16$
126327	Find the Vertex	-(x-5)^2+25	$- {(x - 5)}^{2} + 25$
126328	Find the Vertex	-1/5x^2-2/11x+1/121	$- \frac{1}{5} x^{2} - \frac{2}{11} x + \frac{1}{121}$
126329	Find the Vertex	8x^2-64x	$8 x^{2} - 64 x$
126330	Find the Vertex	-4.9t^2+14.7t+1	$- 4.9 t^{2} + 14.7 t + 1$
126331	Find the Vertex	2x^2+20x+43	$2 x^{2} + 20 x + 43$
126332	Find the Vertex	1.2x^2-4.3x-3.7	$1.2 x^{2} - 4.3 x - 3.7$
126333	Find the Vertex	112t-16t^2	$112 t - 16 t^{2}$
126334	Find the Vertex	-x^2-3x-1	$- x^{2} - 3 x - 1$
126335	Find the Vertex	x^2-9x+3	$x^{2} - 9 x + 3$
126336	Find the Vertex	3(x-5)^2+2	$3 {(x - 5)}^{2} + 2$
126337	Graph the Interval	(-1,6) intersect [0,9]	$(- 1, 6) \cap [0, 9]$
126338	Graph the Interval	[10,infinity)	$[10, \infty)$
126339	Graph the Interval	[0,infinity) intersect (negative infinity,8]	$[0, \infty) \cap (- \infty, 8]$
126340	Solve by Graphing	3^x=3/2x+4	$3^{x} = \frac{3}{2} x + 4$
126341	Solve by Graphing	x^2-x+3=2x^2-3x-60	$x^{2} - x + 3 = 2 x^{2} - 3 x - 60$
126342	Solve by Graphing	-x^2-10x-25=0	$- x^{2} - 10 x - 25 = 0$
126343	Solve by Graphing	2x=-2	$2 x = - 2$
126344	Solve by Graphing	x^2=-1-2x	$x^{2} = - 1 - 2 x$
126345	Solve by Graphing	3x+5=2x-7	$3 x + 5 = 2 x - 7$
126346	Find the Vertex	-(x+1)(x-7)	$- (x + 1) (x - 7)$
126347	Find the Vertex	3x^2-24x+54	$3 x^{2} - 24 x + 54$
126348	Find the Vertex	-2x^2+16x-28	$- 2 x^{2} + 16 x - 28$
126349	Find the Vertex	-x^2+8x-13	$- x^{2} + 8 x - 13$
126350	Find the Vertex	x^2-18x+86	$x^{2} - 18 x + 86$
126351	Find the Vertex	-2x^2+12x-11	$- 2 x^{2} + 12 x - 11$
126352	Find the Vertex	7x^2+14x	$7 x^{2} + 14 x$
126353	Find the Vertex	(x-3)^2+7	${(x - 3)}^{2} + 7$
126354	Find the Vertex	2.42x^2-6.6x+4.5	$2.42 x^{2} - 6.6 x + 4.5$
126355	Find the Vertex	2x^2+4x-13	$2 x^{2} + 4 x - 13$
126356	Find the Vertex	-2x^2+160x	$- 2 x^{2} + 160 x$
126357	Find the Vertex	-16x^2+32x+48	$- 16 x^{2} + 32 x + 48$
126358	Find the Vertex	-x^2+740x-2500	$- x^{2} + 740 x - 2500$
126359	Find the Vertex	-3(x-1)^2+1	$- 3 {(x - 1)}^{2} + 1$
126360	Find the Vertex	3x^2-24x+55	$3 x^{2} - 24 x + 55$
126361	Find the Vertex	2(x-5)^2-4	$2 {(x - 5)}^{2} - 4$
126362	Solve by Graphing	(x+2)^2-4=0	${(x + 2)}^{2} - 4 = 0$
126363	Identify the Conic	25x^2+25y^2=125	$25 x^{2} + 25 y^{2} = 125$
126364	Determine if the Expression is a Factor Using Synthetic Division	x^3+8x^2+9x-18 ; x+6	$x^{3} + 8 x^{2} + 9 x - 18$ ; $x + 6$
126365	Expand Using Sum/Difference Formulas	tan(255)	$\tan (255)$
126366	Expand Using Sum/Difference Formulas	sin(180-30)	$\sin (180 - 30)$
126367	Expand Using Sum/Difference Formulas	cos(60-45)	$\cos (60 - 45)$
126368	Expand Using Sum/Difference Formulas	cos(105 degrees )	$\cos (105 °)$
126369	Graph the Interval	[2.5,10]	$[2.5, 10]$
126370	Find f(g(x))	f(x)=2x-5 g(x)=(x+5)/2	$f (x) = 2 x - 5$ $g (x) = \frac{x + 5}{2}$
126371	Find f(g(x))	f(x)=3x+8 , g(x)=(x-8)/3	$f (x) = 3 x + 8$ , $g (x) = \frac{x - 8}{3}$
126372	Find f(g(x))	f(x)=6x+6 , g(x)=(x-6)/6	$f (x) = 6 x + 6$ , $g (x) = \frac{x - 6}{6}$
126373	Find f(g(x))	f(x)=x-2 , g(x)=x^3+5	$f (x) = x - 2$ , $g (x) = x^{3} + 5$
126374	Find f(g(x))	f(x)=8/(1-3x) , g(x)=1/x	$f (x) = \frac{8}{1 - 3 x}$ , $g (x) = \frac{1}{x}$
126375	Find f(g(x))	f(x) = square root of x+1 , g(x)=18x^2-10	$f (x) = \sqrt{x + 1}$ , $g (x) = 18 x^{2} - 10$
126376	Find f(g(x))	f(x)=7x+1 , g(x)=2x^2-9	$f (x) = 7 x + 1$ , $g (x) = 2 x^{2} - 9$
126377	Find g(f(x))	f(x)=7x , g(x)=x+7	$f (x) = 7 x$ , $g (x) = x + 7$
126378	Find g(f(x))	f(x)=4x-3 , g(x)=5x^2-2	$f (x) = 4 x - 3$ , $g (x) = 5 x^{2} - 2$
126379	Find g(f(x))	f(x) = square root of x+1 , g(x)=18x^2-10	$f (x) = \sqrt{x + 1}$ , $g (x) = 18 x^{2} - 10$
126380	Find g(f(x))	f(x)=3/(x-9) , g(x)=3/x+9	$f (x) = \frac{3}{x - 9}$ , $g (x) = \frac{3}{x} + 9$
126381	Find g(f(x))	f(x)=7x-5 , g(x)=(x+7)/5	$f (x) = 7 x - 5$ , $g (x) = \frac{x + 7}{5}$
126382	Find g(f(x))	f(x)=6x+6 , g(x)=(x-6)/6	$f (x) = 6 x + 6$ , $g (x) = \frac{x - 6}{6}$
126383	Find g(f(x))	f(x)=7x+1 , g(x)=2x^2-9	$f (x) = 7 x + 1$ , $g (x) = 2 x^{2} - 9$
126384	Find g(f(x))	f(x)=5x-3 , g(x)=(x+5)/3	$f (x) = 5 x - 3$ , $g (x) = \frac{x + 5}{3}$
126385	Find g(f(x))	f(x)=x-2 , g(x)=x^3+5	$f (x) = x - 2$ , $g (x) = x^{3} + 5$
126386	Find f(g(x))	f(x)=7x-5 , g(x)=(x+7)/5	$f (x) = 7 x - 5$ , $g (x) = \frac{x + 7}{5}$
126387	Find f(g(x))	f(x)=x^2 , g(x) = square root of x-3	$f (x) = x^{2}$ , $g (x) = \sqrt{x - 3}$
126388	Find f(g(x))	f(x)=(7x+8)/(x+9) g(x)=(9x-8)/(7-x)	$f (x) = \frac{7 x + 8}{x + 9}$ $g (x) = \frac{9 x - 8}{7 - x}$
126389	Find Where Undefined/Discontinuous	(2x)/(x-2)-11/x=8/(x^2-2x)	$\frac{2 x}{x - 2} - \frac{11}{x} = \frac{8}{x^{2} - 2 x}$
126390	Find Where Undefined/Discontinuous	y=1/(3x^2+3x-18)	$y = \frac{1}{3 x^{2} + 3 x - 18}$
126391	Round to the Nearest Whole Number	644.4	$644.4$
126392	Find the Equation Using Slope-Intercept Form	m=-8 , b=-1/4	$m = - 8$ , $b = - \frac{1}{4}$
126393	Find the Equation Using Slope-Intercept Form	m=2 , b=5	$m = 2$ , $b = 5$
126394	Find the Equation Using Slope-Intercept Form	m=4 , b=-3	$m = 4$ , $b = - 3$
126395	Find the Equation Using Slope-Intercept Form	m=3 , b=7	$m = 3$ , $b = 7$
126396	Find the Equation Using Slope-Intercept Form	m=3/2 , b=1	$m = \frac{3}{2}$ , $b = 1$
126397	Find the Equation Using Slope-Intercept Form	m=-1/5 , (-4,0)	$m = - \frac{1}{5}$ , $(- 4, 0)$
126398	Find the Equation Using Slope-Intercept Form	(0,3) , m=4/3	$(0, 3)$ , $m = \frac{4}{3}$
126399	Find the Equation Using Slope-Intercept Form	(0,-5) , m=1/3	$(0, - 5)$ , $m = \frac{1}{3}$
126400	Find the Equation Using Slope-Intercept Form	(0,1) , m=3/4	$(0, 1)$ , $m = \frac{3}{4}$