Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
48101	Convert to Interval Notation	\|3x-6\|>12	$\| 3 x - 6 \| > 12$
48102	Convert to Interval Notation	\|3x-6\|>15	$\| 3 x - 6 \| > 15$
48103	Use the Rational Roots Test to Find All Possible Roots	f(x)=14x^3+56x^2+2x-7	$f (x) = 14 x^{3} + 56 x^{2} + 2 x - 7$
48104	Convert to Interval Notation	\|x\|<4	$\| x \| < 4$
48105	Simplify	square root of 35* square root of 10	$\sqrt{35} \cdot \sqrt{10}$
48106	Simplify	square root of 3* square root of 15	$\sqrt{3} \cdot \sqrt{15}$
48107	Use the Rational Roots Test to Find All Possible Roots	f(x)=3x^4+5x^3-5x^2+2x-12	$f (x) = 3 x^{4} + 5 x^{3} - 5 x^{2} + 2 x - 12$
48108	Find the Perfect Square Trinomial	x^2-2x+	$x^{2} - 2 x +$
48109	Use the Rational Roots Test to Find All Possible Roots	f(x)=3x^3+9x^2+2x-9	$f (x) = 3 x^{3} + 9 x^{2} + 2 x - 9$
48110	Convert to Interval Notation	-3x<9	$- 3 x < 9$
48111	Convert to Interval Notation	x^2-13x+36>0	$x^{2} - 13 x + 36 > 0$
48112	Convert to Interval Notation	x^2-12x+36<0	$x^{2} - 12 x + 36 < 0$
48113	Convert to Interval Notation	x^2+5x+4>0	$x^{2} + 5 x + 4 > 0$
48114	Use the Rational Roots Test to Find All Possible Roots	f(x)=24x^3-64x^2+50x-12	$f (x) = 24 x^{3} - 64 x^{2} + 50 x - 12$
48115	Use the Rational Roots Test to Find All Possible Roots	f(x)=24x^3-8x^2-34x-12	$f (x) = 24 x^{3} - 8 x^{2} - 34 x - 12$
48116	Convert to Interval Notation	x^2+6x+5>0	$x^{2} + 6 x + 5 > 0$
48117	Use the Rational Roots Test to Find All Possible Roots	f(x)=54x^3-135x^2+93x-18	$f (x) = 54 x^{3} - 135 x^{2} + 93 x - 18$
48118	Convert to Interval Notation	x^3-2x^2-5x+6<0	$x^{3} - 2 x^{2} - 5 x + 6 < 0$
48119	Use the Rational Roots Test to Find All Possible Roots	f(x)=-4x^4-9x^3+2x^2+7x-2	$f (x) = - 4 x^{4} - 9 x^{3} + 2 x^{2} + 7 x - 2$
48120	Convert to Interval Notation	x^3-7x^2+14x-8<0	$x^{3} - 7 x^{2} + 14 x - 8 < 0$
48121	Use the Rational Roots Test to Find All Possible Roots	g(x)=3x^3+7x+12	$g (x) = 3 x^{3} + 7 x + 12$
48122	Convert to Interval Notation	x^2-2x-35>0	$x^{2} - 2 x - 35 > 0$
48123	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^6-4x^5+20x^4-21x^3-6x^2-37x-14	$f (x) = x^{6} - 4 x^{5} + 20 x^{4} - 21 x^{3} - 6 x^{2} - 37 x - 14$
48124	Convert to Interval Notation	x^2-20x+100<0	$x^{2} - 20 x + 100 < 0$
48125	Convert to Interval Notation	x^2-5x-14>0	$x^{2} - 5 x - 14 > 0$
48126	Solve for x	6(x-2)=4	$6 (x - 2) = 4$
48127	Solve for x	(x-3)-2(x+6)=-5	$(x - 3) - 2 (x + 6) = - 5$
48128	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4-4x^3-3x^2+16x-4	$f (x) = x^{4} - 4 x^{3} - 3 x^{2} + 16 x - 4$
48129	Simplify	square root of 109	$\sqrt{109}$
48130	Evaluate the Function	f(-5)=x^3+3x^2-9x-13	$f (- 5) = x^{3} + 3 x^{2} - 9 x - 13$
48131	Convert to Interval Notation	x<8	$x < 8$
48132	Convert to Interval Notation	x>-7	$x > - 7$
48133	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+11x^2-7x-77	$f (x) = x^{3} + 11 x^{2} - 7 x - 77$
48134	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+3x^2-75x-77	$f (x) = x^{3} + 3 x^{2} - 75 x - 77$
48135	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+6x^2-46x-51	$f (x) = x^{3} + 6 x^{2} - 46 x - 51$
48136	Convert to Interval Notation	(x+5)/(x+6)>0	$\frac{x + 5}{x + 6} > 0$
48137	Solve by Substitution	y=-5 , 5x+4y=-20	$y = - 5$ , $5 x + 4 y = - 20$
48138	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+5x^2-10x-14	$f (x) = x^{3} + 5 x^{2} - 10 x - 14$
48139	Solve by Substitution	y=2x+3 , y=3x+1	$y = 2 x + 3$ , $y = 3 x + 1$
48140	Solve by Substitution	y=x-2 , y=4x+1	$y = x - 2$ , $y = 4 x + 1$
48141	Solve by Substitution	x-3y=9 , -x+3y=-9	$x - 3 y = 9$ , $- x + 3 y = - 9$
48142	Use the Rational Roots Test to Find All Possible Roots	f(x)=8x^3-62x^2+43x-7	$f (x) = 8 x^{3} - 62 x^{2} + 43 x - 7$
48143	Solve by Substitution	x-5y=10 , 2x-10y=20	$x - 5 y = 10$ , $2 x - 10 y = 20$
48144	Solve by Substitution	-x+2y=2 , x-2y=-2	$- x + 2 y = 2$ , $x - 2 y = - 2$
48145	Solve by Substitution	x+7y=-2 , 3x+y=34	$x + 7 y = - 2$ , $3 x + y = 34$
48146	Solve by Addition/Elimination	5x+6y=3 , 10x+12y=6	$5 x + 6 y = 3$ , $10 x + 12 y = 6$
48147	Find the Vertex	p(x)=x^2+4x-5	$p (x) = x^{2} + 4 x - 5$
48148	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-73x+72	$f (x) = x^{3} - 73 x + 72$
48149	Find the Vertex	p(x)=x^2+8x+12	$p (x) = x^{2} + 8 x + 12$
48150	Find the Vertex	p(x)=3x^2+12x+5	$p (x) = 3 x^{2} + 12 x + 5$
48151	Find the Vertex	p(x)=3x^2+6x+2	$p (x) = 3 x^{2} + 6 x + 2$
48152	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+7x^2-71x-77	$f (x) = x^{3} + 7 x^{2} - 71 x - 77$
48153	Find the Vertex	p(x)=5x^2+10x+3	$p (x) = 5 x^{2} + 10 x + 3$
48154	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-12x^2-15x+26	$f (x) = x^{3} - 12 x^{2} - 15 x + 26$
48155	Simplify	cube root of (x^5)/(y^7)	$\sqrt[3]{\frac{x^{5}}{y^{7}}}$
48156	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-14x-8	$f (x) = x^{3} - 14 x - 8$
48157	Find the Maximum/Minimum Value	f(x)=-2x^2+4x-3	$f (x) = - 2 x^{2} + 4 x - 3$
48158	Use the Rational Roots Test to Find All Possible Roots	n(t)=4t^3-2t^2+8t+5	$n (t) = 4 t^{3} - 2 t^{2} + 8 t + 5$
48159	Evaluate	log base square root of 7 of 49	$\log_{\sqrt{7}} (49)$
48160	Use the Rational Roots Test to Find All Possible Roots	g(x)=x^4-7x^3+8x^2+28x-48	$g (x) = x^{4} - 7 x^{3} + 8 x^{2} + 28 x - 48$
48161	Determine if @POINT is a Solution	y>x-1 ; (0,6)	$y > x - 1$ ; $(0, 6)$
48162	Determine if @POINT is a Solution	2(x+y)>3y , (9,2)	$2 (x + y) > 3 y$ , $(9, 2)$
48163	Determine if @POINT is a Solution	x^2>y , (2,9)	$x^{2} > y$ , $(2, 9)$
48164	Simplify	2 square root of 50	$2 \sqrt{50}$
48165	Find the Perpendicular Line	x+3y=16 ; (-3,-4)	$x + 3 y = 16$ ; $(- 3, - 4)$
48166	Find the Vertex	f(x)=x^2+10x+11	$f (x) = x^{2} + 10 x + 11$
48167	Find the Perpendicular Line	(4,-2) 4x+7y=9	$(4, - 2)$ $4 x + 7 y = 9$
48168	Find the Perpendicular Line	y-2=-1/6(x+1) ; (-1,2)	$y - 2 = - \frac{1}{6} (x + 1)$ ; $(- 1, 2)$
48169	Find the Perpendicular Line	y=2x (1,2)	$y = 2 x$ $(1, 2)$
48170	Find the Perpendicular Line	(1,1) y=4x+6	$(1, 1)$ $y = 4 x + 6$
48171	Solve by Substitution	2x-3y=-2 , 4x+y=24	$2 x - 3 y = - 2$ , $4 x + y = 24$
48172	Find the Perpendicular Line	(1,6) 3x+7y=1	$(1, 6)$ $3 x + 7 y = 1$
48173	Solve by Substitution	2x-3y=3 , -4x+6y=-6	$2 x - 3 y = 3$ , $- 4 x + 6 y = - 6$
48174	Find the Perpendicular Line	(5,-4) 5x+6y=7	$(5, - 4)$ $5 x + 6 y = 7$
48175	Solve by Substitution	2x-y=6 , x+y=-3	$2 x - y = 6$ , $x + y = - 3$
48176	Find the Perpendicular Line	(3,-2) 3x+4y=7	$(3, - 2)$ $3 x + 4 y = 7$
48177	Solve by Substitution	3x-7y=18 , -5x+4y=-30	$3 x - 7 y = 18$ , $- 5 x + 4 y = - 30$
48178	Find the Perpendicular Line	(-3,1) y=-3x+7	$(- 3, 1)$ $y = - 3 x + 7$
48179	Solve by Substitution	5x-3y=-3 , 2x-6y=-6	$5 x - 3 y = - 3$ , $2 x - 6 y = - 6$
48180	Find the Perpendicular Line	(1,7) 2x+7y=1	$(1, 7)$ $2 x + 7 y = 1$
48181	Solve by Substitution	7x+2y=24 , 8x+2y=30	$7 x + 2 y = 24$ , $8 x + 2 y = 30$
48182	Identify the Sequence	4 , 10 , 16 , 22 , 28	$4$ , $10$ , $16$ , $22$ , $28$
48183	Find the Focus	y=x^2-2x-3	$y = x^{2} - 2 x - 3$
48184	Identify the Sequence	-7.25 , -6.75 , -6.25 , -5.75	$- 7.25$ , $- 6.75$ , $- 6.25$ , $- 5.75$
48185	Solve by Substitution	x/2-y/3=5/6 , x/5-y/4=15/10	$\frac{x}{2} - \frac{y}{3} = \frac{5}{6}$ , $\frac{x}{5} - \frac{y}{4} = \frac{15}{10}$
48186	Identify the Sequence	5/2 , 7/2 , 9/2 , 11/2	$\frac{5}{2}$ , $\frac{7}{2}$ , $\frac{9}{2}$ , $\frac{11}{2}$
48187	Solve by Substitution	x/2-y/3=5/6 , x/5-y/4=29/10	$\frac{x}{2} - \frac{y}{3} = \frac{5}{6}$ , $\frac{x}{5} - \frac{y}{4} = \frac{29}{10}$
48188	Identify the Sequence	3 , 7/3 , 5/3	$3$ , $\frac{7}{3}$ , $\frac{5}{3}$
48189	Solve by Substitution	2x^2-5y^2=-12 , 5x^2+2y^2=28	$2 x^{2} - 5 y^{2} = - 12$ , $5 x^{2} + 2 y^{2} = 28$
48190	Identify the Sequence	500 , 200 , 80 , 32	$500$ , $200$ , $80$ , $32$
48191	Solve by Substitution	15x-10y=1 , 15y=2+5x	$15 x - 10 y = 1$ , $15 y = 2 + 5 x$
48192	Identify the Sequence	3 , 5 , 9 , 17	$3$ , $5$ , $9$ , $17$
48193	Find the x and y Intercepts	f(x)=x^3-3x^2-25x+75	$f (x) = x^{3} - 3 x^{2} - 25 x + 75$
48194	Identify the Sequence	20 , 25 , 30 , 35	$20$ , $25$ , $30$ , $35$
48195	Identify the Sequence	21 , 15 , 9 , 3	$21$ , $15$ , $9$ , $3$
48196	Simplify	cube root of 125^2	$\sqrt[3]{125^{2}}$
48197	Identify the Sequence	-3 , -14 , -25 , -36	$- 3$ , $- 14$ , $- 25$ , $- 36$
48198	Identify the Sequence	-45 , -30 , -15 , 0	$- 45$ , $- 30$ , $- 15$ , $0$
48199	Identify the Sequence	-15 , -11 , -7 , -3	$- 15$ , $- 11$ , $- 7$ , $- 3$
48200	Identify the Sequence	10 , 20 , 30 , 40	$10$ , $20$ , $30$ , $40$