Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
48101	Use the Rational Roots Test to Find All Possible Roots	f(x)=3x^3+9x^2+2x-9	$f (x) = 3 x^{3} + 9 x^{2} + 2 x - 9$
48102	Convert to Interval Notation	-3x<9	$- 3 x < 9$
48103	Convert to Interval Notation	x^2-13x+36>0	$x^{2} - 13 x + 36 > 0$
48104	Convert to Interval Notation	x^2-12x+36<0	$x^{2} - 12 x + 36 < 0$
48105	Convert to Interval Notation	x^2+5x+4>0	$x^{2} + 5 x + 4 > 0$
48106	Use the Rational Roots Test to Find All Possible Roots	f(x)=24x^3-64x^2+50x-12	$f (x) = 24 x^{3} - 64 x^{2} + 50 x - 12$
48107	Use the Rational Roots Test to Find All Possible Roots	f(x)=24x^3-8x^2-34x-12	$f (x) = 24 x^{3} - 8 x^{2} - 34 x - 12$
48108	Convert to Interval Notation	x^2+6x+5>0	$x^{2} + 6 x + 5 > 0$
48109	Use the Rational Roots Test to Find All Possible Roots	f(x)=54x^3-135x^2+93x-18	$f (x) = 54 x^{3} - 135 x^{2} + 93 x - 18$
48110	Convert to Interval Notation	x^3-2x^2-5x+6<0	$x^{3} - 2 x^{2} - 5 x + 6 < 0$
48111	Use the Rational Roots Test to Find All Possible Roots	f(x)=-4x^4-9x^3+2x^2+7x-2	$f (x) = - 4 x^{4} - 9 x^{3} + 2 x^{2} + 7 x - 2$
48112	Convert to Interval Notation	x^3-7x^2+14x-8<0	$x^{3} - 7 x^{2} + 14 x - 8 < 0$
48113	Use the Rational Roots Test to Find All Possible Roots	g(x)=3x^3+7x+12	$g (x) = 3 x^{3} + 7 x + 12$
48114	Convert to Interval Notation	x^2-2x-35>0	$x^{2} - 2 x - 35 > 0$
48115	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^6-4x^5+20x^4-21x^3-6x^2-37x-14	$f (x) = x^{6} - 4 x^{5} + 20 x^{4} - 21 x^{3} - 6 x^{2} - 37 x - 14$
48116	Convert to Interval Notation	x^2-20x+100<0	$x^{2} - 20 x + 100 < 0$
48117	Convert to Interval Notation	x^2-5x-14>0	$x^{2} - 5 x - 14 > 0$
48118	Solve for x	6(x-2)=4	$6 (x - 2) = 4$
48119	Solve for x	(x-3)-2(x+6)=-5	$(x - 3) - 2 (x + 6) = - 5$
48120	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4-4x^3-3x^2+16x-4	$f (x) = x^{4} - 4 x^{3} - 3 x^{2} + 16 x - 4$
48121	Simplify	square root of 109	$\sqrt{109}$
48122	Evaluate the Function	f(-5)=x^3+3x^2-9x-13	$f (- 5) = x^{3} + 3 x^{2} - 9 x - 13$
48123	Convert to Interval Notation	x<8	$x < 8$
48124	Convert to Interval Notation	x>-7	$x > - 7$
48125	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+11x^2-7x-77	$f (x) = x^{3} + 11 x^{2} - 7 x - 77$
48126	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+3x^2-75x-77	$f (x) = x^{3} + 3 x^{2} - 75 x - 77$
48127	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+6x^2-46x-51	$f (x) = x^{3} + 6 x^{2} - 46 x - 51$
48128	Convert to Interval Notation	(x+5)/(x+6)>0	$\frac{x + 5}{x + 6} > 0$
48129	Solve by Substitution	y=-5 , 5x+4y=-20	$y = - 5$ , $5 x + 4 y = - 20$
48130	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+5x^2-10x-14	$f (x) = x^{3} + 5 x^{2} - 10 x - 14$
48131	Solve by Substitution	y=2x+3 , y=3x+1	$y = 2 x + 3$ , $y = 3 x + 1$
48132	Solve by Substitution	y=x-2 , y=4x+1	$y = x - 2$ , $y = 4 x + 1$
48133	Solve by Substitution	x-3y=9 , -x+3y=-9	$x - 3 y = 9$ , $- x + 3 y = - 9$
48134	Use the Rational Roots Test to Find All Possible Roots	f(x)=8x^3-62x^2+43x-7	$f (x) = 8 x^{3} - 62 x^{2} + 43 x - 7$
48135	Solve by Substitution	x-5y=10 , 2x-10y=20	$x - 5 y = 10$ , $2 x - 10 y = 20$
48136	Solve by Substitution	-x+2y=2 , x-2y=-2	$- x + 2 y = 2$ , $x - 2 y = - 2$
48137	Solve by Substitution	x+7y=-2 , 3x+y=34	$x + 7 y = - 2$ , $3 x + y = 34$
48138	Solve by Addition/Elimination	5x+6y=3 , 10x+12y=6	$5 x + 6 y = 3$ , $10 x + 12 y = 6$
48139	Find the Vertex	p(x)=x^2+4x-5	$p (x) = x^{2} + 4 x - 5$
48140	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-73x+72	$f (x) = x^{3} - 73 x + 72$
48141	Find the Vertex	p(x)=x^2+8x+12	$p (x) = x^{2} + 8 x + 12$
48142	Find the Vertex	p(x)=3x^2+12x+5	$p (x) = 3 x^{2} + 12 x + 5$
48143	Find the Vertex	p(x)=3x^2+6x+2	$p (x) = 3 x^{2} + 6 x + 2$
48144	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+7x^2-71x-77	$f (x) = x^{3} + 7 x^{2} - 71 x - 77$
48145	Find the Vertex	p(x)=5x^2+10x+3	$p (x) = 5 x^{2} + 10 x + 3$
48146	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-12x^2-15x+26	$f (x) = x^{3} - 12 x^{2} - 15 x + 26$
48147	Simplify	cube root of (x^5)/(y^7)	$\sqrt[3]{\frac{x^{5}}{y^{7}}}$
48148	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-14x-8	$f (x) = x^{3} - 14 x - 8$
48149	Find the Maximum/Minimum Value	f(x)=-2x^2+4x-3	$f (x) = - 2 x^{2} + 4 x - 3$
48150	Use the Rational Roots Test to Find All Possible Roots	n(t)=4t^3-2t^2+8t+5	$n (t) = 4 t^{3} - 2 t^{2} + 8 t + 5$
48151	Evaluate	log base square root of 7 of 49	$\log_{\sqrt{7}} (49)$
48152	Use the Rational Roots Test to Find All Possible Roots	g(x)=x^4-7x^3+8x^2+28x-48	$g (x) = x^{4} - 7 x^{3} + 8 x^{2} + 28 x - 48$
48153	Determine if @POINT is a Solution	y>x-1 ; (0,6)	$y > x - 1$ ; $(0, 6)$
48154	Determine if @POINT is a Solution	2(x+y)>3y , (9,2)	$2 (x + y) > 3 y$ , $(9, 2)$
48155	Determine if @POINT is a Solution	x^2>y , (2,9)	$x^{2} > y$ , $(2, 9)$
48156	Simplify	2 square root of 50	$2 \sqrt{50}$
48157	Find the Perpendicular Line	x+3y=16 ; (-3,-4)	$x + 3 y = 16$ ; $(- 3, - 4)$
48158	Find the Vertex	f(x)=x^2+10x+11	$f (x) = x^{2} + 10 x + 11$
48159	Find the Perpendicular Line	(4,-2) 4x+7y=9	$(4, - 2)$ $4 x + 7 y = 9$
48160	Find the Perpendicular Line	y-2=-1/6(x+1) ; (-1,2)	$y - 2 = - \frac{1}{6} (x + 1)$ ; $(- 1, 2)$
48161	Find the Perpendicular Line	y=2x (1,2)	$y = 2 x$ $(1, 2)$
48162	Find the Perpendicular Line	(1,1) y=4x+6	$(1, 1)$ $y = 4 x + 6$
48163	Solve by Substitution	2x-3y=-2 , 4x+y=24	$2 x - 3 y = - 2$ , $4 x + y = 24$
48164	Find the Perpendicular Line	(1,6) 3x+7y=1	$(1, 6)$ $3 x + 7 y = 1$
48165	Solve by Substitution	2x-3y=3 , -4x+6y=-6	$2 x - 3 y = 3$ , $- 4 x + 6 y = - 6$
48166	Find the Perpendicular Line	(5,-4) 5x+6y=7	$(5, - 4)$ $5 x + 6 y = 7$
48167	Solve by Substitution	2x-y=6 , x+y=-3	$2 x - y = 6$ , $x + y = - 3$
48168	Find the Perpendicular Line	(3,-2) 3x+4y=7	$(3, - 2)$ $3 x + 4 y = 7$
48169	Solve by Substitution	3x-7y=18 , -5x+4y=-30	$3 x - 7 y = 18$ , $- 5 x + 4 y = - 30$
48170	Find the Perpendicular Line	(-3,1) y=-3x+7	$(- 3, 1)$ $y = - 3 x + 7$
48171	Solve by Substitution	5x-3y=-3 , 2x-6y=-6	$5 x - 3 y = - 3$ , $2 x - 6 y = - 6$
48172	Find the Perpendicular Line	(1,7) 2x+7y=1	$(1, 7)$ $2 x + 7 y = 1$
48173	Solve by Substitution	7x+2y=24 , 8x+2y=30	$7 x + 2 y = 24$ , $8 x + 2 y = 30$
48174	Identify the Sequence	4 , 10 , 16 , 22 , 28	$4$ , $10$ , $16$ , $22$ , $28$
48175	Find the Focus	y=x^2-2x-3	$y = x^{2} - 2 x - 3$
48176	Identify the Sequence	-7.25 , -6.75 , -6.25 , -5.75	$- 7.25$ , $- 6.75$ , $- 6.25$ , $- 5.75$
48177	Solve by Substitution	x/2-y/3=5/6 , x/5-y/4=15/10	$\frac{x}{2} - \frac{y}{3} = \frac{5}{6}$ , $\frac{x}{5} - \frac{y}{4} = \frac{15}{10}$
48178	Identify the Sequence	5/2 , 7/2 , 9/2 , 11/2	$\frac{5}{2}$ , $\frac{7}{2}$ , $\frac{9}{2}$ , $\frac{11}{2}$
48179	Solve by Substitution	x/2-y/3=5/6 , x/5-y/4=29/10	$\frac{x}{2} - \frac{y}{3} = \frac{5}{6}$ , $\frac{x}{5} - \frac{y}{4} = \frac{29}{10}$
48180	Identify the Sequence	3 , 7/3 , 5/3	$3$ , $\frac{7}{3}$ , $\frac{5}{3}$
48181	Solve by Substitution	2x^2-5y^2=-12 , 5x^2+2y^2=28	$2 x^{2} - 5 y^{2} = - 12$ , $5 x^{2} + 2 y^{2} = 28$
48182	Identify the Sequence	500 , 200 , 80 , 32	$500$ , $200$ , $80$ , $32$
48183	Solve by Substitution	15x-10y=1 , 15y=2+5x	$15 x - 10 y = 1$ , $15 y = 2 + 5 x$
48184	Identify the Sequence	3 , 5 , 9 , 17	$3$ , $5$ , $9$ , $17$
48185	Find the x and y Intercepts	f(x)=x^3-3x^2-25x+75	$f (x) = x^{3} - 3 x^{2} - 25 x + 75$
48186	Identify the Sequence	20 , 25 , 30 , 35	$20$ , $25$ , $30$ , $35$
48187	Identify the Sequence	21 , 15 , 9 , 3	$21$ , $15$ , $9$ , $3$
48188	Simplify	cube root of 125^2	$\sqrt[3]{125^{2}}$
48189	Identify the Sequence	-3 , -14 , -25 , -36	$- 3$ , $- 14$ , $- 25$ , $- 36$
48190	Identify the Sequence	-45 , -30 , -15 , 0	$- 45$ , $- 30$ , $- 15$ , $0$
48191	Identify the Sequence	-15 , -11 , -7 , -3	$- 15$ , $- 11$ , $- 7$ , $- 3$
48192	Identify the Sequence	10 , 20 , 30 , 40	$10$ , $20$ , $30$ , $40$
48193	Identify the Sequence	4 , -8 , 16 , -32	$4$ , $- 8$ , $16$ , $- 32$
48194	Find the Properties	f(x)=2x^2+4x-1	$f (x) = 2 x^{2} + 4 x - 1$
48195	Identify the Sequence	51 , 5.1 , 0.51 , 0.051	$51$ , $5.1$ , $0.51$ , $0.051$
48196	Find the Asymptotes	f(x)=(-2x)/(x+1)	$f (x) = \frac{- 2 x}{x + 1}$
48197	Identify the Sequence	45 , 90 , 180 , 360	$45$ , $90$ , $180$ , $360$
48198	Find the Properties	f(x)=x^2+4x-3	$f (x) = x^{2} + 4 x - 3$
48199	Identify the Sequence	7 , 11 , 15 , 19	$7$ , $11$ , $15$ , $19$
48200	Factor	pq-3r+pr-3q	$p q - 3 r + p r - 3 q$