Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
102201	Solve Using the Quadratic Formula	3x^2-10x=-2	$3 x^{2} - 10 x = - 2$
102202	Divide	(x^3-x^2-17x-15)/(x-5)	$\frac{x^{3} - x^{2} - 17 x - 15}{x - 5}$
102203	Find g(f(x))	f(x)=2x , g(x)=x+3	$f (x) = 2 x$ , $g (x) = x + 3$
102204	Find the Roots (Zeros)	2x^3+5x^2-8x-10=0	$2 x^{3} + 5 x^{2} - 8 x - 10 = 0$
102205	Find g(f(x))	f(x)=7x-2 , g(x)=(x+7)/2	$f (x) = 7 x - 2$ , $g (x) = \frac{x + 7}{2}$
102206	Find g(f(x))	f(x)=6x-6 , g(x)=7-3x	$f (x) = 6 x - 6$ , $g (x) = 7 - 3 x$
102207	Find g(f(x))	f(x)=10x+6 , g(x)=(x-6)/10	$f (x) = 10 x + 6$ , $g (x) = \frac{x - 6}{10}$
102208	Find g(f(x))	f(x)=x/2 g(x)=2x	$f (x) = \frac{x}{2}$ $g (x) = 2 x$
102209	Convert to Interval Notation	x^2-16<0	$x^{2} - 16 < 0$
102210	Convert to Interval Notation	x^2-2x>3	$x^{2} - 2 x > 3$
102211	Convert to Interval Notation	x^2-3x-18<0	$x^{2} - 3 x - 18 < 0$
102212	Find g(f(x))	f(x)=x+25 , g(x)=x-25	$f (x) = x + 25$ , $g (x) = x - 25$
102213	Convert to Interval Notation	x^2-2x-24<0	$x^{2} - 2 x - 24 < 0$
102214	Convert to Interval Notation	x^2-5x-24>0	$x^{2} - 5 x - 24 > 0$
102215	Convert to Interval Notation	x^2-4x-21<0	$x^{2} - 4 x - 21 < 0$
102216	Find g(f(x))	f(x)=2+8 g(x)=4+12x-7	$f (x) = 2 + 8$ $g (x) = 4 + 12 x - 7$
102217	Convert to Interval Notation	x^2-3x-40>0	$x^{2} - 3 x - 40 > 0$
102218	Find g(f(x))	f(x)=2x+4 , g(x)=4-x	$f (x) = 2 x + 4$ , $g (x) = 4 - x$
102219	Find g(f(x))	f(x)=4x-3 g(x)=(x+4)/3	$f (x) = 4 x - 3$ $g (x) = \frac{x + 4}{3}$
102220	Find g(f(x))	f(x)=x+23 , g(x)=x-23	$f (x) = x + 23$ , $g (x) = x - 23$
102221	Convert to Interval Notation	x^3-3x^2-9x+27<0	$x^{3} - 3 x^{2} - 9 x + 27 < 0$
102222	Convert to Interval Notation	x^3-4x>0	$x^{3} - 4 x > 0$
102223	Find g(f(x))	f(x)=4-x g(x)=4x^2+x+6	$f (x) = 4 - x$ $g (x) = 4 x^{2} + x + 6$
102224	Find g(f(x))	f(x) = square root of 2x , g(x)=7x-9	$f (x) = \sqrt{2 x}$ , $g (x) = 7 x - 9$
102225	Convert to Interval Notation	x^2<25	$x^{2} < 25$
102226	Convert to Interval Notation	x^2>-2x	$x^{2} > - 2 x$
102227	Find g(f(x))	f(x)=3x g(x)=x+5	$f (x) = 3 x$ $g (x) = x + 5$
102228	Convert to Interval Notation	x^2-11x+24>0	$x^{2} - 11 x + 24 > 0$
102229	Find g(f(x))	f(x)=64-x^2 , g(x)=8-x	$f (x) = 64 - x^{2}$ , $g (x) = 8 - x$
102230	Convert to Interval Notation	x^2-14x+49<0	$x^{2} - 14 x + 49 < 0$
102231	Convert to Interval Notation	x^2+6x>0	$x^{2} + 6 x > 0$
102232	Find g(f(x))	f(x)=6/(x-3) , g(x)=6/x+3	$f (x) = \frac{6}{x - 3}$ , $g (x) = \frac{6}{x} + 3$
102233	Convert to Interval Notation	x^2+2x-8<0	$x^{2} + 2 x - 8 < 0$
102234	Convert to Interval Notation	x/(x-8)>0	$\frac{x}{x - 8} > 0$
102235	Convert to Interval Notation	x/(x-9)>0	$\frac{x}{x - 9} > 0$
102236	Find g(f(x))	f(x)=2/(x-6) , g(x)=2/x+6	$f (x) = \frac{2}{x - 6}$ , $g (x) = \frac{2}{x} + 6$
102237	Convert to Interval Notation	2x^2<5x+12	$2 x^{2} < 5 x + 12$
102238	Find g(f(x))	f(x)=x+4 g(x)=3x+2	$f (x) = x + 4$ $g (x) = 3 x + 2$
102239	Find g(f(x))	f(x)=2^(x-1)+3 g(x)=5x-9	$f (x) = 2^{x - 1} + 3$ $g (x) = 5 x - 9$
102240	Convert to Interval Notation	(x-1)/(x-6)>3	$\frac{x - 1}{x - 6} > 3$
102241	Convert to Interval Notation	(x-3)/(x+2)<0	$\frac{x - 3}{x + 2} < 0$
102242	Graph	f(x)=1/2*(x-2)^2+3	$f (x) = \frac{1}{2} \cdot {(x - 2)}^{2} + 3$
102243	Find g(f(x))	f(x)=6x^2-10x , g(x)=2x	$f (x) = 6 x^{2} - 10 x$ , $g (x) = 2 x$
102244	Convert to Interval Notation	(x+5)/(x-2)>0	$\frac{x + 5}{x - 2} > 0$
102245	Convert to Interval Notation	1<x<4	$1 < x < 4$
102246	Graph	4/5x-2y>=3	$\frac{4}{5} x - 2 y \geq 3$
102247	Find g(f(x))	f(x)=3x+6 , g(x)=4x-1	$f (x) = 3 x + 6$ , $g (x) = 4 x - 1$
102248	Convert to Interval Notation	0<x<1	$0 < x < 1$
102249	Find g(f(x))	f(x)=x^2-4 , g(x)=x^3	$f (x) = x^{2} - 4$ , $g (x) = x^{3}$
102250	Convert to Interval Notation	7-x/6>8	$7 - \frac{x}{6} > 8$
102251	Convert to Interval Notation	3x>9/(x+2)	$3 x > \frac{9}{x + 2}$
102252	Find g(f(x))	f(x)=x^3-1 , g(x) = cube root of x+1	$f (x) = x^{3} - 1$ , $g (x) = \sqrt[3]{x + 1}$
102253	Find g(f(x))	f(x)=x^2 ; g(x) = square root of 625-x^2	$f (x) = x^{2}$ ; $g (x) = \sqrt{625 - x^{2}}$
102254	Evaluate	8 cube root of 16	$8 \sqrt[3]{16}$
102255	Find g(f(x))	f(x)=2x-9 , g(x)=(x+2)/9	$f (x) = 2 x - 9$ , $g (x) = \frac{x + 2}{9}$
102256	Divide	((2pi)/(4pi^2-1))÷((6pi^3)/(6pi+3))	$\frac{2 π}{4 π^{2} - 1} \div \frac{6 π^{3}}{6 π + 3}$
102257	Write with Rational (Fractional) Exponents	cube root of 9x^2	$\sqrt[3]{9 x^{2}}$
102258	Write with Rational (Fractional) Exponents	cube root of 343	$\sqrt[3]{343}$
102259	Find g(f(x))	f(x)=2x-5 , g(x)=3x+7	$f (x) = 2 x - 5$ , $g (x) = 3 x + 7$
102260	Write with Rational (Fractional) Exponents	cube root of 5x^2y	$\sqrt[3]{5 x^{2} y}$
102261	Write with Rational (Fractional) Exponents	cube root of -64	$\sqrt[3]{- 64}$
102262	Write with Rational (Fractional) Exponents	fourth root of 14	$\sqrt[4]{14}$
102263	Write with Rational (Fractional) Exponents	fourth root of 81	$\sqrt[4]{81}$
102264	Write with Rational (Fractional) Exponents	fifth root of 9^10	$\sqrt[5]{9^{10}}$
102265	Find g(f(x))	f(x)=3x-9 , g(x)=x/3+3	$f (x) = 3 x - 9$ , $g (x) = \frac{x}{3} + 3$
102266	Write with Rational (Fractional) Exponents	fifth root of -243x^10y^15	$\sqrt[5]{- 243 x^{10} y^{15}}$
102267	Find g(f(x))	f(x)=3x-1 , g(x)=4x^2	$f (x) = 3 x - 1$ , $g (x) = 4 x^{2}$
102268	Find g(f(x))	f(x)=7/(x-5) , g(x)=7/x+5	$f (x) = \frac{7}{x - 5}$ , $g (x) = \frac{7}{x} + 5$
102269	Find g(f(x))	f(x)=1/(x-7) , g(x)=4/x+7	$f (x) = \frac{1}{x - 7}$ , $g (x) = \frac{4}{x} + 7$
102270	Find g(f(x))	f(x)=-2x+12 , g(x)=-1/2x-12	$f (x) = - 2 x + 12$ , $g (x) = - \frac{1}{2} x - 12$
102271	Find the Perfect Square Trinomial	x^2+16x+	$x^{2} + 16 x +$
102272	Simplify	3 square root of 6-4 square root of 6	$3 \sqrt{6} - 4 \sqrt{6}$
102273	Find g(f(x))	f(x)=(7x+4)/(x+3) g(x)=(3x-4)/(7-x)	$f (x) = \frac{7 x + 4}{x + 3}$ $g (x) = \frac{3 x - 4}{7 - x}$
102274	Simplify	square root of -7* square root of -14	$\sqrt{- 7} \cdot \sqrt{- 14}$
102275	Find g(f(x))	f(x)=3x^3-2x^2+7x-5 , g(x)=5x^2+x-1	$f (x) = 3 x^{3} - 2 x^{2} + 7 x - 5$ , $g (x) = 5 x^{2} + x - 1$
102276	Simplify	square root of 63* square root of 175	$\sqrt{63} \cdot \sqrt{175}$
102277	Find g(f(x))	f(x)=5/(x+2) , g(x)=3/x	$f (x) = \frac{5}{x + 2}$ , $g (x) = \frac{3}{x}$
102278	Simplify	square root of 2* square root of 6	$\sqrt{2} \cdot \sqrt{6}$
102279	Find g(f(x))	f(x)=(x-7)/9 , g(x)=9x+7	$f (x) = \frac{x - 7}{9}$ , $g (x) = 9 x + 7$
102280	Simplify	square root of 45- square root of 20	$\sqrt{45} - \sqrt{20}$
102281	Find g(f(x))	f(x)=4x+3 , g(x)=3-7x	$f (x) = 4 x + 3$ , $g (x) = 3 - 7 x$
102282	Simplify	square root of 3+4 square root of 3	$\sqrt{3} + 4 \sqrt{3}$
102283	Simplify	square root of 6* square root of 15	$\sqrt{6} \cdot \sqrt{15}$
102284	Find g(f(x))	f(x) = square root of x-2 g(x)=3x	$f (x) = \sqrt{x - 2}$ $g (x) = 3 x$
102285	Convert to Interval Notation	\|2/3x-2\|>2	$\| \frac{2}{3} x - 2 \| > 2$
102286	Find g(f(x))	f(x)=4x-4 , g(x)=x^2-4	$f (x) = 4 x - 4$ , $g (x) = x^{2} - 4$
102287	Convert to Interval Notation	\|(4x+8)/3\|<8	$\| \frac{4 x + 8}{3} \| < 8$
102288	Find g(f(x))	f(x)=4 , g(x)=0.01	$f (x) = 4$ , $g (x) = 0.01$
102289	Find g(f(x))	f(x)=x^3-7x^2+2x+11 , g(x)=x+1	$f (x) = x^{3} - 7 x^{2} + 2 x + 11$ , $g (x) = x + 1$
102290	Convert to Interval Notation	\|2-8x\|<-13	$\| 2 - 8 x \| < - 13$
102291	Find g(f(x))	f(x)=3x-1 g(x)=(2x-1)/x	$f (x) = 3 x - 1$ $g (x) = \frac{2 x - 1}{x}$
102292	Convert to Interval Notation	(x-7)(x+3)>0	$(x - 7) (x + 3) > 0$
102293	Simplify	6 cube root of 5+4 cube root of 625	$6 \sqrt[3]{5} + 4 \sqrt[3]{625}$
102294	Find g(f(x))	f(x)=9/(x-5) , g(x)=9/x+5	$f (x) = \frac{9}{x - 5}$ , $g (x) = \frac{9}{x} + 5$
102295	Convert to Interval Notation	(x-1)(x+2)<0	$(x - 1) (x + 2) < 0$
102296	Convert to Interval Notation	(x-3)(x+1)<0	$(x - 3) (x + 1) < 0$
102297	Find g(f(x))	f(x)=3-x , g(x)=4x^2+x+4	$f (x) = 3 - x$ , $g (x) = 4 x^{2} + x + 4$
102298	Convert to Interval Notation	(x-4)(x+7)<0	$(x - 4) (x + 7) < 0$
102299	Convert to Interval Notation	(x-4)(x+3)<0	$(x - 4) (x + 3) < 0$
102300	Convert to Interval Notation	\|x-6\|>1	$\| x - 6 \| > 1$