Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
90101	Find the Range	(x+4)^2+(y-6)^2=9	${(x + 4)}^{2} + {(y - 6)}^{2} = 9$
90102	Find the Range	(x+5)^2+(y-1)^2=16	${(x + 5)}^{2} + {(y - 1)}^{2} = 16$
90103	Find the Vertex	2x^2-5x+3	$2 x^{2} - 5 x + 3$
90104	Solve by Substitution	3x+y=18 , y=3x	$3 x + y = 18$ , $y = 3 x$
90105	Solve by Substitution	3x-2y=1 , -6x+4y=-2	$3 x - 2 y = 1$ , $- 6 x + 4 y = - 2$
90106	Solve by Substitution	3x-2y=5 , 4x-5y=30	$3 x - 2 y = 5$ , $4 x - 5 y = 30$
90107	Solve by Substitution	3x-y=4 , 2x+y=16	$3 x - y = 4$ , $2 x + y = 16$
90108	Solve by Substitution	4x^2-5y^2=-16 , 5x^2+2y^2=13	$4 x^{2} - 5 y^{2} = - 16$ , $5 x^{2} + 2 y^{2} = 13$
90109	Find the Range	(x+6)^2+(y-1)^2=9	${(x + 6)}^{2} + {(y - 1)}^{2} = 9$
90110	Solve by Substitution	3x-8y=3 , -3x+13y=-18	$3 x - 8 y = 3$ , $- 3 x + 13 y = - 18$
90111	Solve by Substitution	2x-3y=-13 , y=2x+7	$2 x - 3 y = - 13$ , $y = 2 x + 7$
90112	Solve by Substitution	2x-y=7 , 3x-2y=10	$2 x - y = 7$ , $3 x - 2 y = 10$
90113	Solve by Substitution	3x^2-4y^2=-13 , 2x^2+5y^2=22	$3 x^{2} - 4 y^{2} = - 13$ , $2 x^{2} + 5 y^{2} = 22$
90114	Find the Range	(x-1)^2+(y-4)^2=25	${(x - 1)}^{2} + {(y - 4)}^{2} = 25$
90115	Solve by Substitution	3x+2y=16 , x=3y-2	$3 x + 2 y = 16$ , $x = 3 y - 2$
90116	Solve by Substitution	-5x+3y=12 , x+2y=8	$- 5 x + 3 y = 12$ , $x + 2 y = 8$
90117	Find the Range	(x-2)^2+(y-5)^2=4	${(x - 2)}^{2} + {(y - 5)}^{2} = 4$
90118	Solve by Substitution	-4x-15y=-17 , -x+5y=-13	$- 4 x - 15 y = - 17$ , $- x + 5 y = - 13$
90119	Find the Range	(x-4)^2+(y-1)^2=16	${(x - 4)}^{2} + {(y - 1)}^{2} = 16$
90120	Solve by Substitution	5x+2y=7 , 10x+4y=14	$5 x + 2 y = 7$ , $10 x + 4 y = 14$
90121	Solve by Substitution	5x+3y=80 , 2x+y=30	$5 x + 3 y = 80$ , $2 x + y = 30$
90122	Find the Range	(x-4)^2+(y-3)^2=25	${(x - 4)}^{2} + {(y - 3)}^{2} = 25$
90123	Solve by Substitution	4x-y=20 , -2x-2y=10	$4 x - y = 20$ , $- 2 x - 2 y = 10$
90124	Find the Range	(x-4)^2+(y-5)^2=16	${(x - 4)}^{2} + {(y - 5)}^{2} = 16$
90125	Solve by Substitution	4x-5y=-7 , y=5x	$4 x - 5 y = - 7$ , $y = 5 x$
90126	Find the Range	(x-5)^2+(y-6)^2=9	${(x - 5)}^{2} + {(y - 6)}^{2} = 9$
90127	Solve by Substitution	5x+6y=3 , 10x+12y=6	$5 x + 6 y = 3$ , $10 x + 12 y = 6$
90128	Solve by Substitution	5x+y=9 , 10x-7y=-18	$5 x + y = 9$ , $10 x - 7 y = - 18$
90129	Solve by Substitution	-5x+y=-5 , -4x+2y=2	$- 5 x + y = - 5$ , $- 4 x + 2 y = 2$
90130	Solve by Substitution	-7x+4y=24 , 4x-4y=0	$- 7 x + 4 y = 24$ , $4 x - 4 y = 0$
90131	Find the Range	f^-1(x)=8/7+x/7	$f^{- 1} (x) = \frac{8}{7} + \frac{x}{7}$
90132	Solve by Substitution	2x+5y=10 , y=2-x	$2 x + 5 y = 10$ , $y = 2 - x$
90133	Solve by Substitution	2x+3y=2 , 4x+6y=4	$2 x + 3 y = 2$ , $4 x + 6 y = 4$
90134	Solve by Substitution	2x+3y=18 , 5x-y=11	$2 x + 3 y = 18$ , $5 x - y = 11$
90135	Solve by Substitution	2x+y=15 , y=3x	$2 x + y = 15$ , $y = 3 x$
90136	Find the Range	f^-1(x) = square root of 14+x	$f^{- 1} (x) = \sqrt{14 + x}$
90137	Solve by Substitution	2x+6y=32 , 5x-2y=12	$2 x + 6 y = 32$ , $5 x - 2 y = 12$
90138	Solve by Substitution	x^2+y^2=25 , x-y=1	$x^{2} + y^{2} = 25$ , $x - y = 1$
90139	Solve by Substitution	x^2-y^2=39 , x-y=3	$x^{2} - y^{2} = 39$ , $x - y = 3$
90140	Solve by Substitution	1/2x+1/3y=5 , 1/4x+y=10	$\frac{1}{2} x + \frac{1}{3} y = 5$ , $\frac{1}{4} x + y = 10$
90141	Solve by Substitution	x^2+y^2=4 , x+y=2	$x^{2} + y^{2} = 4$ , $x + y = 2$
90142	Solve by Substitution	x^2-y=0 , 3x+y=18	$x^{2} - y = 0$ , $3 x + y = 18$
90143	Find the x and y Intercepts	f(x)=x^3-2x^2-9x+18	$f (x) = x^{3} - 2 x^{2} - 9 x + 18$
90144	Solve for X	X = log base 5 of 1	$X = \log_{5} (1)$
90145	Find the Range	h(x)=-8^x	$h (x) = - 8^{x}$
90146	Find the Range	x^2+(y-5)^2=16	$x^{2} + {(y - 5)}^{2} = 16$
90147	Simplify	(2y+3)(3y^2+4y+5)	$(2 y + 3) (3 y^{2} + 4 y + 5)$
90148	Simplify	(2x)/(x^2-6x+9)+4/(x^2+2x-15)	$\frac{2 x}{x^{2} - 6 x + 9} + \frac{4}{x^{2} + 2 x - 15}$
90149	Find the Properties	g(x)=x^2-10x-3	$g (x) = x^{2} - 10 x - 3$
90150	Find the Properties	f(x)=x^2-2x-6	$f (x) = x^{2} - 2 x - 6$
90151	Find the Range	y=-1/2cos(3theta)	$y = - \frac{1}{2} \cos (3 θ)$
90152	Find the Properties	f(x)=x^2-6x+4	$f (x) = x^{2} - 6 x + 4$
90153	Find the Range	y=1/(x+5)+7	$y = \frac{1}{x + 5} + 7$
90154	Find the Range	y=10/(x^2-36)	$y = \frac{10}{x^{2} - 36}$
90155	Find the Properties	f(x)=-x^2+6x-8	$f (x) = - x^{2} + 6 x - 8$
90156	Simplify	5/( square root of 30)	$\frac{5}{\sqrt{30}}$
90157	Simplify	-3 root of -8	$\sqrt[- 3]{- 8}$
90158	Find the Range	y = square root of x-5-1	$y = \sqrt{x - 5 - 1}$
90159	Simplify	4a^2-12a^2-3a+8+9a^2-1-9a+8a	$4 a^{2} - 12 a^{2} - 3 a + 8 + 9 a^{2} - 1 - 9 a + 8 a$
90160	Simplify	square root of 600a^9b^7c^11	$\sqrt{600 a^{9} b^{7} c^{11}}$
90161	Find the Range	y=-3(5^x)	$y = - 3 (5^{x})$
90162	Find the Range	y=3sin(2)(x+90)-1	$y = 3 \sin (2 (x + 90)) - 1$
90163	Find the Properties	f(x)=x^2+6x-1	$f (x) = x^{2} + 6 x - 1$
90164	Find the Range	y=5^(x-2)+7	$y = 5^{x - 2} + 7$
90165	Find the Range	y=5+ square root of 4-x	$y = 5 + \sqrt{4 - x}$
90166	Write with Rational (Fractional) Exponents	square root of x^3* cube root of y	$\sqrt{x^{3}} \cdot \sqrt[3]{y}$
90167	Find the Range	y=cos(4x)+1	$y = \cos (4 x) + 1$
90168	Find the Roots (Zeros)	f(x)=2x^2-17x-9	$f (x) = 2 x^{2} - 17 x - 9$
90169	Find the Range	y-4=(x+1)^2	$y - 4 = {(x + 1)}^{2}$
90170	Solve Using the Quadratic Formula	x^2=9x+6	$x^{2} = 9 x + 6$
90171	Find the Range	y-9=(x+1)^2	$y - 9 = {(x + 1)}^{2}$
90172	Determine if a Polynomial	1/3x^4	$\frac{1}{3} x^{4}$
90173	Find the Roots (Zeros)	f(x)=x^3-5x^2-9x+45	$f (x) = x^{3} - 5 x^{2} - 9 x + 45$
90174	Determine if a Polynomial	(2a-5)(a^2-1)	$(2 a - 5) (a^{2} - 1)$
90175	Determine if a Polynomial	(33y^2)/(x^2)-62y^2xz-35z^2y^2	$\frac{33 y^{2}}{x^{2}} - 62 y^{2} x z - 35 z^{2} y^{2}$
90176	Solve Using the Quadratic Formula	6x^2-2x+36=5x^2+10x	$6 x^{2} - 2 x + 36 = 5 x^{2} + 10 x$
90177	Determine if a Polynomial	(3m-2n)(4m-n)	$(3 m - 2 n) (4 m - n)$
90178	Determine if a Polynomial	(3x^3-5x-8)+(5x^3+7x+3)	$(3 x^{3} - 5 x - 8) + (5 x^{3} + 7 x + 3)$
90179	Graph	y<=2x	$y \leq 2 x$
90180	Determine if a Polynomial	4/5xy^4+3/4xy	$\frac{4}{5} x y^{4} + \frac{3}{4} x y$
90181	Determine if a Polynomial	4/x-11x^2	$\frac{4}{x} - 11 x^{2}$
90182	Determine if a Polynomial	(6x^3+8x^2-2x+4)+(10x^3+x^2+11x+9)	$(6 x^{3} + 8 x^{2} - 2 x + 4) + (10 x^{3} + x^{2} + 11 x + 9)$
90183	Determine if a Polynomial	(x^2)/2-(3x)/7+2	$\frac{x^{2}}{2} - \frac{3 x}{7} + 2$
90184	Find the Domain and Range	f(x)=2x^2-7x-4	$f (x) = 2 x^{2} - 7 x - 4$
90185	Find the Domain and Range	f(x)=2x^2+4x-1	$f (x) = 2 x^{2} + 4 x - 1$
90186	Find the Domain and Range	f(x)=x^2+3x-18	$f (x) = x^{2} + 3 x - 18$
90187	Determine if a Polynomial	square root of 5x^5+ square root of 3x^3+x	$\sqrt{5 x^{5}} + \sqrt{3 x^{3}} + x$
90188	Determine if a Polynomial	square root of 7x^3- square root of 5x-7	$\sqrt{7} x^{3} - \sqrt{5} x - 7$
90189	Find the Domain and Range	f(x)=x^2+5x-14	$f (x) = x^{2} + 5 x - 14$
90190	Determine if a Polynomial	-10p^2q+7p^3q-5q	$- 10 p^{2} q + 7 p^{3} q - 5 q$
90191	Subtract	-1-5	$- 1 - 5$
90192	Determine if a Polynomial	10x^3*7z^2+8	$10 x^{3} \cdot 7 z^{2} + 8$
90193	Find the Domain and Range	f(x)=x^2-3x-10	$f (x) = x^{2} - 3 x - 10$
90194	Determine if a Polynomial	2p^2-11pq+24q^2	$2 p^{2} - 11 p q + 24 q^{2}$
90195	Determine if a Polynomial	2x^2 cube root of x^3+8y	$2 x^{2} \sqrt[3]{x^{3} + 8 y}$
90196	Write in Standard Form	(1-4i)(5-2i)	$(1 - 4 i) (5 - 2 i)$
90197	Find the Domain and Range	f(x)=x/(x^2-4)	$f (x) = \frac{x}{x^{2} - 4}$
90198	Find the Domain and Range	f(x)=x^3+4x^2-25x-100	$f (x) = x^{3} + 4 x^{2} - 25 x - 100$
90199	Determine if a Polynomial	2x^2-3x^-53	$2 x^{2} - 3 x^{- 53}$
90200	Find the Domain and Range	f(x)=x^3(x-2)^2(x+4)	$f (x) = x^{3} {(x - 2)}^{2} (x + 4)$