Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
115901	Solve by Substitution	x^2+y^2=25 , y=x+1	$x^{2} + y^{2} = 25$ , $y = x + 1$
115902	Solve by Substitution	x^2+y^2=25 , x^2-y^2=7	$x^{2} + y^{2} = 25$ , $x^{2} - y^{2} = 7$
115903	Solve by Substitution	x^2+y^2=100 , y=x+2	$x^{2} + y^{2} = 100$ , $y = x + 2$
115904	Solve by Substitution	x^2+y^2=113 , x-y=1	$x^{2} + y^{2} = 113$ , $x - y = 1$
115905	Solve by Substitution	y=3x , 9x-3y=0	$y = 3 x$ , $9 x - 3 y = 0$
115906	Solve by Substitution	y+5x=-3 , 3y-2x=8	$y + 5 x = - 3$ , $3 y - 2 x = 8$
115907	Simplify/Condense	log base 7 of a* log base b of 7	$\log_{7} (a) \cdot \log_{b} (7)$
115908	Solve by Substitution	1/2x+2y=12 , x-2y=6	$\frac{1}{2} x + 2 y = 12$ , $x - 2 y = 6$
115909	Find the Inverse	y=(4^x+8)/4	$y = \frac{4^{x} + 8}{4}$
115910	Solve by Substitution	x^2-y=0 , x+y=6	$x^{2} - y = 0$ , $x + y = 6$
115911	Find the Inverse	y=e^(2x+5)	$y = e^{2 x + 5}$
115912	Solve by Substitution	x^2+y^2=49 , y^2-3x=49	$x^{2} + y^{2} = 49$ , $y^{2} - 3 x = 49$
115913	Find the Symmetry	f(x)=(x+2)/(x^2+x-12)	$f (x) = \frac{x + 2}{x^{2} + x - 12}$
115914	Solve by Substitution	x^2+y^2=36 , y^2-5x=36	$x^{2} + y^{2} = 36$ , $y^{2} - 5 x = 36$
115915	Find the GCF	60 , 72 , 900	$60$ , $72$ , $900$
115916	Solve by Substitution	x^2+y^2=36 , y=x-6	$x^{2} + y^{2} = 36$ , $y = x - 6$
115917	Solve by Substitution	x^2+y^2=9 , x^2-y^2=9	$x^{2} + y^{2} = 9$ , $x^{2} - y^{2} = 9$
115918	Solve by Substitution	5x+2y=21 , -2x+6y=-34	$5 x + 2 y = 21$ , $- 2 x + 6 y = - 34$
115919	Solve by Substitution	x^2+2y^2=729 , x+y=27	$x^{2} + 2 y^{2} = 729$ , $x + y = 27$
115920	Solve by Substitution	x^2+4y^2=16 , 6x^2-y^2=12	$x^{2} + 4 y^{2} = 16$ , $6 x^{2} - y^{2} = 12$
115921	Simplify/Condense	3 natural log of x+1-2 natural log of y+ natural log of y+ natural log of 2	$3 \ln (x + 1) - 2 \ln (y) + \ln (y) + \ln (2)$
115922	Find the Difference Quotient	f(x)=x^2+4	$f (x) = x^{2} + 4$
115923	Solve Using the Quadratic Formula	3x^2+14x=-8	$3 x^{2} + 14 x = - 8$
115924	Solve Using the Quadratic Formula	d^2-5d-24=0	$d^{2} - 5 d - 24 = 0$
115925	Find the Difference Quotient	h(x)=1/98x^2	$h (x) = \frac{1}{98} x^{2}$
115926	Find the Discriminant	4x^2-20x+25	$4 x^{2} - 20 x + 25$
115927	Determine if True	3(-6)+7(5)=17	$3 (- 6) + 7 (5) = 17$
115928	Find the Maximum Number of Real Roots	square root of -25	$\sqrt{- 25}$
115929	Find the Asymptotes	R(x)=(x^2)/(x^2+x-12)	$R (x) = \frac{x^{2}}{x^{2} + x - 12}$
115930	Find the Asymptotes	f(x)=(x-5)/(x^2+3x-18)	$f (x) = \frac{x - 5}{x^{2} + 3 x - 18}$
115931	Find the Properties	f(x)=x^2-3x-4	$f (x) = x^{2} - 3 x - 4$
115932	Find the x and y Intercepts	x^4-36x^2	$x^{4} - 36 x^{2}$
115933	Identify the Zeros and Their Multiplicities	f(x)=x^4-22x^3+121x^2	$f (x) = x^{4} - 22 x^{3} + 121 x^{2}$
115934	Find the Roots (Zeros)	x^3-8x^2+22x-20	$x^{3} - 8 x^{2} + 22 x - 20$
115935	Find the Properties	f(x)=(x-7)^2	$f (x) = {(x - 7)}^{2}$
115936	Convert to a Mixed Number	3.9	$3.9$
115937	Find the Properties	f(x)=(x-8)^2	$f (x) = {(x - 8)}^{2}$
115938	Find the Domain	square root of 3x-15	$\sqrt{3 x - 15}$
115939	Graph	y=1/(x+2)+1	$y = \frac{1}{x + 2} + 1$
115940	Graph	x<=y	$x \leq y$
115941	Determine if Odd, Even, or Neither	f(x)=4x^2+x^4	$f (x) = 4 x^{2} + x^{4}$
115942	Find the Properties	f(x)=x^2+10x+5	$f (x) = x^{2} + 10 x + 5$
115943	Solve for x	3\|4x-1\|-5=10	$3 \| 4 x - 1 \| - 5 = 10$
115944	Solve for y	31-8(y+5)=7	$31 - 8 (y + 5) = 7$
115945	Solve Using the Quadratic Formula	2x^2-7x-21=0	$2 x^{2} - 7 x - 21 = 0$
115946	Simplify	5/a-3/b+1/(ab)	$\frac{5}{a} - \frac{3}{b} + \frac{1}{a b}$
115947	Simplify	square root of x* cube root of x	$\sqrt{x} \cdot \sqrt[3]{x}$
115948	Simplify	(x+6)/(x^2+8x+15)+(3x)/(x+5)-(x-3)/(x+3)	$\frac{x + 6}{x^{2} + 8 x + 15} + \frac{3 x}{x + 5} - \frac{x - 3}{x + 3}$
115949	Solve Using the Quadratic Formula	x^2=10x-61	$x^{2} = 10 x - 61$
115950	Find the Properties	f(x)=-3x^2-2x-1	$f (x) = - 3 x^{2} - 2 x - 1$
115951	Find the Properties	f(x)=-4x^2-8x+10	$f (x) = - 4 x^{2} - 8 x + 10$
115952	Solve Using the Quadratic Formula	5y^2-y-4=0	$5 y^{2} - y - 4 = 0$
115953	Find the Difference Quotient	f(x)=4x-5	$f (x) = 4 x - 5$
115954	Solve Using the Quadratic Formula	2x(3x+1)=9	$2 x (3 x + 1) = 9$
115955	Simplify	5+7(ac+3b)+3ac	$5 + 7 (a c + 3 b) + 3 a c$
115956	Find the Properties	f(x)=x^2-3x+1	$f (x) = x^{2} - 3 x + 1$
115957	Find the Properties	f(x)=x^2-2x-5	$f (x) = x^{2} - 2 x - 5$
115958	Find the Properties	f(x)=x^2-6x-5	$f (x) = x^{2} - 6 x - 5$
115959	Find the Properties	f(x)=-x^2-4x-7	$f (x) = - x^{2} - 4 x - 7$
115960	Find the Properties	f(x)=x^2+9x+20	$f (x) = x^{2} + 9 x + 20$
115961	Find the Domain and Range	y=1- square root of 2x+3	$y = 1 - \sqrt{2 x + 3}$
115962	Find the Properties	f(x)=x^2-10x+25	$f (x) = x^{2} - 10 x + 25$
115963	Find the Domain and Range	y = square root of x+3-1	$y = \sqrt{x + 3} - 1$
115964	Find the Properties	f(x)=x^2-14x-4	$f (x) = x^{2} - 14 x - 4$
115965	Find the Domain and Range	y=14 root of x	$y = \sqrt[14]{x}$
115966	Find the Properties	f(x)=x^2+4x-9	$f (x) = x^{2} + 4 x - 9$
115967	Find the Properties	f(x)=-x^2+6x-12	$f (x) = - x^{2} + 6 x - 12$
115968	Find the Properties	f(x)=x^2+5x-14	$f (x) = x^{2} + 5 x - 14$
115969	Find the Inverse	7x-6	$7 x - 6$
115970	Find the Properties	f(x)=x^2+6x+13	$f (x) = x^{2} + 6 x + 13$
115971	Find the Inverse	-4/5x+1/5	$- \frac{4}{5} x + \frac{1}{5}$
115972	Solve for x	35-4x>2	$35 - 4 x > 2$
115973	Find the Properties	f(x)=x^2+2x+2	$f (x) = x^{2} + 2 x + 2$
115974	Solve for x	2^( log base 2 of 8x-5)<=6	$2^{\log_{2} (8 x - 5)} \leq 6$
115975	Factor	-5x^2y+10xy-15xy^2	$- 5 x^{2} y + 10 x y - 15 x y^{2}$
115976	Write as a Function of y	x-3=y^2	$x - 3 = y^{2}$
115977	Find the Properties	f(x)=x^2+2x-24	$f (x) = x^{2} + 2 x - 24$
115978	Find the Roots (Zeros)	f(x)=(1/2)^x	$f (x) = {(\frac{1}{2})}^{x}$
115979	Find the Roots (Zeros)	f(x)=x^3-4x^2-7x+10	$f (x) = x^{3} - 4 x^{2} - 7 x + 10$
115980	Find the Roots (Zeros)	f(x)=x^3-3	$f (x) = x^{3} - 3$
115981	Describe the Transformation	h(x)=1/3x^3	$h (x) = \frac{1}{3} x^{3}$
115982	Find the Asymptotes	y=(x-4)/(-4x-16)	$y = \frac{x - 4}{- 4 x - 16}$
115983	Find the Roots (Zeros)	f(x)=2x^2-13x-7	$f (x) = 2 x^{2} - 13 x - 7$
115984	Find the Roots (Zeros)	f(x)=5x^4-7x^3-x^2-3x-2	$f (x) = 5 x^{4} - 7 x^{3} - x^{2} - 3 x - 2$
115985	Evaluate	(7-i)/(3+i)	$\frac{7 - i}{3 + i}$
115986	Determine if Rational	-5pi	$- 5 π$
115987	Find the Domain and Range	4-x^2	$4 - x^{2}$
115988	Determine if Rational	-6pi	$- 6 π$
115989	Find the Domain and Range	f(x)=3x+5	$f (x) = 3 x + 5$
115990	Determine if Rational	-19pi	$- 19 π$
115991	Find the Domain and Range	f(x)=3x-6	$f (x) = 3 x - 6$
115992	Find the Domain and Range	f(x)=3x^2+12x+5	$f (x) = 3 x^{2} + 12 x + 5$
115993	Find the Domain and Range	f(x)=6	$f (x) = 6$
115994	Determine if Rational	0.3/0.9	$\frac{0.3}{0.9}$
115995	Find the Domain and Range	f(x)=5x^2-5x-10	$f (x) = 5 x^{2} - 5 x - 10$
115996	Find the Inverse	h(x) = cube root of x-3	$h (x) = \sqrt[3]{x - 3}$
115997	Find the Domain and Range	f(x)=2x^2-3x+6	$f (x) = 2 x^{2} - 3 x + 6$
115998	Find the Inverse	f(x)=(x+12)/(x-6)	$f (x) = \frac{x + 12}{x - 6}$
115999	Find the Inverse	f(x)=(3x+4)/(x-1)	$f (x) = \frac{3 x + 4}{x - 1}$
116000	Find the Domain and Range	f(x)=2x^2+8x+3	$f (x) = 2 x^{2} + 8 x + 3$