Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
32301	Find the Inverse	f(x)=4x-4	$f (x) = 4 x - 4$
32302	Find the Inverse	f(x)=-4x+2	$f (x) = - 4 x + 2$
32303	Describe the Transformation	y = cube root of 8x-64-5	$y = \sqrt[3]{8 x - 64 - 5}$
32304	Find the Inverse	f(x)=-x+5	$f (x) = - x + 5$
32305	Describe the Transformation	g(x)=\|x\|+4	$g (x) = \| x \| + 4$
32306	Factor	-2k-k^3-3k^2	$- 2 k - k^{3} - 3 k^{2}$
32307	Describe the Transformation	y = cube root of x+6-4	$y = \sqrt[3]{x + 6} - 4$
32308	Find the Domain	g(x) = square root of 3-x	$g (x) = \sqrt{3 - x}$
32309	Find the Domain	f(x)=\|x\|	$f (x) = \| x \|$
32310	Describe the Transformation	f(x)=5-3^(-x)	$f (x) = 5 - 3^{- x}$
32311	Find the Inverse	f(x)=1/2x+3	$f (x) = \frac{1}{2} x + 3$
32312	Describe the Transformation	f(x)=(x-8)^2-1	$f (x) = {(x - 8)}^{2} - 1$
32313	Find the Inverse	f(x)=1/2x-4	$f (x) = \frac{1}{2} x - 4$
32314	Find the Inverse	f(x)=1/3x-2	$f (x) = \frac{1}{3} x - 2$
32315	Describe the Transformation	g(x)=(x+3)^2-4	$g (x) = {(x + 3)}^{2} - 4$
32316	Find the Inverse	f(x) = cube root of x-8	$f (x) = \sqrt[3]{x - 8}$
32317	Find the Inverse	f(x)=x/2	$f (x) = \frac{x}{2}$
32318	Simplify	(2-5i)(1-4i)	$(2 - 5 i) (1 - 4 i)$
32319	Describe the Transformation	h(x)=-2x+6	$h (x) = - 2 x + 6$
32320	Find the Inverse	f(x) = square root of x-7	$f (x) = \sqrt{x - 7}$
32321	Identify the Zeros and Their Multiplicities	f(x)=x^3-14x^2+49x	$f (x) = x^{3} - 14 x^{2} + 49 x$
32322	Subtract	1-3	$1 - 3$
32323	Find the Domain and Range	f(x)=2(3^x)	$f (x) = 2 (3^{x})$
32324	Describe the Transformation	f(x)=1/4*3^x-6	$f (x) = \frac{1}{4} \cdot 3^{x} - 6$
32325	Determine the Possible Number of Real Roots	12x^3-67x^2+36x-5=0	$12 x^{3} - 67 x^{2} + 36 x - 5 = 0$
32326	Determine the Possible Number of Real Roots	f(x)=x^5+7x^4+2x^3+14x^2+x+7	$f (x) = x^{5} + 7 x^{4} + 2 x^{3} + 14 x^{2} + x + 7$
32327	Solve for y	4/(y-1)+2/3=6/(y-1)	$\frac{4}{y - 1} + \frac{2}{3} = \frac{6}{y - 1}$
32328	Determine the Possible Number of Real Roots	x^4-13x^3-x+15=0	$x^{4} - 13 x^{3} - x + 15 = 0$
32329	Find the Domain and Range	F(x)=x	$F (x) = x$
32330	Find Where Increasing/Decreasing	y=2(0.45)^x	$y = 2 {(0.45)}^{x}$
32331	Find Where Increasing/Decreasing	y=3x-x^3	$y = 3 x - x^{3}$
32332	Find Where Increasing/Decreasing	y=2(0.65)^x	$y = 2 {(0.65)}^{x}$
32333	Find the Domain and Range	f(x)=-x^2-2x+8	$f (x) = - x^{2} - 2 x + 8$
32334	Find the Domain and Range	f(x)=x^2-x-6	$f (x) = x^{2} - x - 6$
32335	Find dy/dx	y=( natural log of x)/(x^8)	$y = \frac{\ln (x)}{x^{8}}$
32336	Solve by Substitution	x/2-y/3=5/6 , x/5-y/4=71/10	$\frac{x}{2} - \frac{y}{3} = \frac{5}{6}$ , $\frac{x}{5} - \frac{y}{4} = \frac{71}{10}$
32337	Find dy/dx	y=10x^9-4x	$y = 10 x^{9} - 4 x$
32338	Solve by Substitution	3x+y=-3 , y=x+5	$3 x + y = - 3$ , $y = x + 5$
32339	Solve by Substitution	2x-y=16 , 3x+y=24	$2 x - y = 16$ , $3 x + y = 24$
32340	Find the Maximum/Minimum Value	y=x^2+2x+1	$y = x^{2} + 2 x + 1$
32341	Find dy/dx	y=1/(x^6)	$y = \frac{1}{x^{6}}$
32342	Find the Vertex	-x^2+6x-5	$- x^{2} + 6 x - 5$
32343	Find dy/dx	y=(3x^5-7x^2-4)/(x^2)	$y = \frac{3 x^{5} - 7 x^{2} - 4}{x^{2}}$
32344	Convert to Set Notation	x^4-82x^2+81>=0	$x^{4} - 82 x^{2} + 81 \geq 0$
32345	Find the Vertex	x^2-4x-5	$x^{2} - 4 x - 5$
32346	Convert to Set Notation	3x-1>=7+x	$3 x - 1 \geq 7 + x$
32347	Solve for x	(3x)/6+1=7	$\frac{3 x}{6} + 1 = 7$
32348	Convert to Set Notation	-5<=z<-2	$- 5 \leq z < - 2$
32349	Simplify	square root of 91	$\sqrt{91}$
32350	Find the Vertex	f(x)=(x+5)^2	$f (x) = {(x + 5)}^{2}$
32351	Convert to Set Notation	9-2x>=3	$9 - 2 x \geq 3$
32352	Convert to Set Notation	10>=x>2	$10 \geq x > 2$
32353	Convert to Set Notation	11-6(1-x)<=6	$11 - 6 (1 - x) \leq 6$
32354	Solve by Substitution	x-3y=-3 , -x+3y=3	$x - 3 y = - 3$ , $- x + 3 y = 3$
32355	Convert to Set Notation	\|4x-9\|>=4	$\| 4 x - 9 \| \geq 4$
32356	Simplify	cube root of y^2*3	$\sqrt[3]{y^{23}}$
32357	Solve by Substitution	y=5x+1 , 2y-6x=10	$y = 5 x + 1$ , $2 y - 6 x = 10$
32358	Find the Center and Radius	x^2+(y-2)^2=9	$x^{2} + {(y - 2)}^{2} = 9$
32359	Find the Center and Radius	x^2+(y-1)^2=1	$x^{2} + {(y - 1)}^{2} = 1$
32360	Find the Center and Radius	x^2+(y-2)^2=4	$x^{2} + {(y - 2)}^{2} = 4$
32361	Find the Center and Radius	x^2+y^2-2x+4y-4=0	$x^{2} + y^{2} - 2 x + 4 y - 4 = 0$
32362	Factor	a^(3y)+1	$a^{3 y} + 1$
32363	Simplify/Condense	log of 4x+1- log of x	$\log (4 x + 1) - \log (x)$
32364	Simplify/Condense	log of 8+ log of 125	$\log (8) + \log (125)$
32365	Expand the Logarithmic Expression	log base 3 of 3x^4	$\log_{3} (3 x^{4})$
32366	Expand the Logarithmic Expression	log base 3 of square root of 9x	$\log_{3} (\sqrt{9 x})$
32367	Expand the Logarithmic Expression	log base 3 of 27/y	$\log_{3} (\frac{27}{y})$
32368	Expand the Logarithmic Expression	log base 5 of 25/y	$\log_{5} (\frac{25}{y})$
32369	Expand the Logarithmic Expression	log base 6 of 36x^2	$\log_{6} (36 x^{2})$
32370	Expand the Logarithmic Expression	log base 6 of 36x^3	$\log_{6} (36 x^{3})$
32371	Expand the Logarithmic Expression	log base b of (x^2y)/(z^7)	$\log_{b} (\frac{x^{2} y}{z^{7}})$
32372	Expand the Logarithmic Expression	log base b of square root of 2x	$\log_{b} (\sqrt{2 x})$
32373	Expand the Logarithmic Expression	log base b of square root of xy	$\log_{b} (\sqrt{x y})$
32374	Expand the Logarithmic Expression	log base b of square root of 5x	$\log_{b} (\sqrt{5 x})$
32375	Simplify/Condense	1/6* natural log of x+ natural log of y	$\frac{1}{6} \cdot \ln (x) + \ln (y)$
32376	Find the Value Using the Unit Circle	arctan(- square root of 3)	$\arctan (- \sqrt{3})$
32377	Find dx/dy	y=10x^9-4x	$y = 10 x^{9} - 4 x$
32378	Find dx/dy	y=sin(x)cos(x)	$y = \sin (x) \cos (x)$
32379	Find dx/dy	x=tan(y)	$x = \tan (y)$
32380	Identify the Common Factors	25x^4	$25 x^{4}$
32381	Find the Quadrant	(0,9)	$(0, 9)$
32382	Identify the Common Factors	27n^27	$27 n^{27}$
32383	Find the Quadrant	(-1,-3)	$(- 1, - 3)$
32384	Identify the Common Factors	x+2y+3z	$x + 2 y + 3 z$
32385	Find the Quadrant	(-1,-2)	$(- 1, - 2)$
32386	Identify the Common Factors	72x^2y*18xy	$72 x^{2} y \cdot 18 x y$
32387	Identify the Common Factors	6x+6y+6z	$6 x + 6 y + 6 z$
32388	Identify the Common Factors	(72x^14y^8z^14)÷27x^3y^12z^14	$72 x^{14} y^{8} z^{14} \div 27 x^{3} y^{12} z^{14}$
32389	Identify the Common Factors	4x^(1/6)-6x^(1/6)+11x^(3/5)-5x^(3/5)	$4 x^{\frac{1}{6}} - 6 x^{\frac{1}{6}} + 11 x^{\frac{3}{5}} - 5 x^{\frac{3}{5}}$
32390	Solve by Graphing	x+y=1 , y-x=1	$x + y = 1$ , $y - x = 1$
32391	Find the Variance	9 , 10 , 10 , 8 , 7 , 11 , 12 , 9	$9$ , $10$ , $10$ , $8$ , $7$ , $11$ , $12$ , $9$
32392	Evaluate	log of 90	$\log (90)$
32393	Find the Variance	6 , 7 , 10 , 11 , 11 , 13 , 16 , 18 , 25	$6$ , $7$ , $10$ , $11$ , $11$ , $13$ , $16$ , $18$ , $25$
32394	Evaluate	log of 7*343	$\log (7) \cdot 343$
32395	Find the Variance	100 , 140 , 130 , 180 , 80 , 160	$100$ , $140$ , $130$ , $180$ , $80$ , $160$
32396	Evaluate	natural log of eighth root of e	$\ln (\sqrt[8]{e})$
32397	Evaluate	3 log of 4	$3 \log (4)$
32398	Find the Variance	12 , 13 , 8 , 13 , 9 , 11 , 12 , 9 , 11	$12$ , $13$ , $8$ , $13$ , $9$ , $11$ , $12$ , $9$ , $11$
32399	Evaluate	log of 54	$\log (54)$
32400	Evaluate	log of (2^4)/5	$\log (\frac{2^{4}}{5})$