Math Help questions: page 560

Solve by Addition/Elimination	y=-3x+5 y=-8x+25	${\displaystyle y=-3x+5}$ ${\displaystyle y=-8x+25}$	Algebra
Simplify the Radical Expression	-3 square root of 2+3 square root of 20-3 square root of 8	${\displaystyle -3\sqrt{2}+3\sqrt{20}-3\sqrt{8}}$	Algebra
Simplify the Radical Expression	-2 square root of 3+3 square root of 27	${\displaystyle -2\sqrt{3}+3\sqrt{27}}$	Algebra
Simplify	sixth root of x^9	${\displaystyle \sqrt[6]{x^9}}$	Algebra
Solve for y	limit as x approaches 4 of (x^2+7x+y)/(x^2-6x+8)=15/2	${\displaystyle \underset{x\to 4}{lim}\frac{x^2+7x+y}{x^2-6x+8}=\frac{15}{2}}$	Algebra
Simplify	square root of 2-4 square root of 2+9 square root of 2	${\displaystyle \sqrt{2}-4\sqrt{2}+9\sqrt{2}}$	Algebra
Solve the Rational Equation for b	-5 square root of b=-50	${\displaystyle -5\sqrt{b}=-50}$	Algebra
Solve for x	10^2+10^2=x^2	${\displaystyle {10}^2+{10}^2=x^2}$	Algebra
Solve the System of Equations	-v+w=7 v+w=1	${\displaystyle -v+w=7}$ ${\displaystyle v+w=1}$	Algebra
Simplify	(-4)(3x^2)(2x)	${\displaystyle (-4)\left(3x^2\right)\left(2x\right)}$	Algebra
Solve for x	cube root of 2x+1 = cube root of x+8	${\displaystyle \sqrt[3]{2x+1}=\sqrt[3]{x+8}}$	Algebra
Simplify	(11 square root of 12)/(2 square root of 7)	${\displaystyle \frac{11\sqrt{12}}{2\sqrt{7}}}$	Algebra
Solve for x	2 cube root of x=4 cube root of x+7	${\displaystyle 2\sqrt[3]{x}=4\sqrt[3]{x}+7}$	Algebra
Evaluate	10-4÷2+3*4-1	${\displaystyle 10-4÷2+3\cdot 4-1}$	Algebra
Simplify	( square root of 3x^4)/( square root of 2x^2y^5)	${\displaystyle \frac{\sqrt{3x^4}}{\sqrt{2x^2{y}^5}}}$	Algebra
Solve the Inequality for q	6q<-18	${\displaystyle 6q<-18}$	Algebra
Simplify the Radical Expression	square root of (x^2)/12	${\displaystyle \sqrt{\frac{x^2}{12}}}$	Algebra
Graph	The graph of y=f(x) is shown below. Draw the graph of y=-f(x)	The graph of ${\displaystyle y=f\left(x\right)}$ is shown below. Draw the graph of ${\displaystyle y=-f\left(x\right)}$	Algebra
Multiply	square root of 2*5 square root of 8	${\displaystyle \sqrt{2}\cdot 5\sqrt{8}}$	Algebra
Solve for x	square root of 3x+1-3=7	${\displaystyle \sqrt{3x+1-3}=7}$	Algebra
Simplify	(8y^3)(-3x^2y^2)(3/8xy^4)	${\displaystyle \left(8y^3\right)(-3x^2{y}^2)\left(\frac{3}{8}x{y}^4\right)}$	Algebra
Find the x and y Intercepts	y=x^3+x^2-12x	${\displaystyle y=x^3+x^2-12x}$	Algebra
Describe the Transformation	f(x)=-3*2^(x-1)+7	${\displaystyle f\left(x\right)=-3\cdot 2^{x-1}+7}$	Algebra
Simplify	(-5xy)(4x^2)(y^4)	${\displaystyle (-5xy)\left(4x^2\right)\left(y^4\right)}$	Algebra
Simplify	((4x^2yz^3)^2)/(2x^3y^2z^-4)	${\displaystyle \frac{{\left(4x^{2}y{z}^3\right)}^2}{2x^3{y}^2{z}^{-4}}}$	Algebra
Find the x and y Intercepts	f(x)=4*(2/3)^x+1	${\displaystyle f\left(x\right)=4\cdot {\left(\frac{2}{3}\right)}^x+1}$	Algebra
Write the Fraction in Simplest Form	9/( square root of 3+ square root of 7)	${\displaystyle \frac{9}{\sqrt{3}+\sqrt{7}}}$	Algebra
Solve for x	1/2x-4+1=-3-1/2x	${\displaystyle \frac{1}{2}x-4+1=-3-\frac{1}{2}x}$	Algebra
Simplify	(2x)/(5x)+(2x)/(x^2)	${\displaystyle \frac{2x}{5x}+\frac{2x}{x^2}}$	Algebra
Simplify	(2x+10)/3*(6x)/(x+5)	${\displaystyle \frac{2x+10}{3}\cdot \frac{6x}{x+5}}$	Algebra
Factor by Grouping	16a^4+64a^3b^2+96a^2b^4+64ab^6+16b^8	${\displaystyle 16a^4+64a^3{b}^2+96a^2{b}^4+64a{b}^6+16b^8}$	Algebra
Solve for R	E/R=I	${\displaystyle \frac{E}{R}=I}$	Algebra
Simplify the Radical Expression	27 2/3	${\displaystyle 27\frac{2}{3}}$	Algebra
Simplify	((14m^4)/(3m))÷((7m^2)/(18m^5))	${\displaystyle \frac{14m^4}{3m}÷\frac{7m^2}{18m^5}}$	Algebra
Graph	x^2+(y-(4/x)^2)*2=1	${\displaystyle x^2+(y-{\left(\frac{4}{x}\right)}^2)\cdot 2=1}$	Algebra
Simplify	(5- square root of 21)/( square root of 3- square root of 7)	${\displaystyle \frac{5-\sqrt{21}}{\sqrt{3}-\sqrt{7}}}$	Algebra
Simplify	(2x+22)/3*6/(4x)	${\displaystyle \frac{2x+22}{3}\cdot \frac{6}{4x}}$	Algebra
Simplify	20/(26x)*(13x)/(4x)	${\displaystyle \frac{20}{26x}\cdot \frac{13x}{4x}}$	Algebra
Simplify	((20x-4)/(8x^2))÷(5x-1)*(6x)/5	${\displaystyle \frac{20x-4}{8x^2}÷(5x-1)\cdot \frac{6x}{5}}$	Algebra
Solve the System of Equations	3x+2y=4 2y=8-5x	${\displaystyle 3x+2y=4}$ ${\displaystyle 2y=8-5x}$	Algebra
Simplify	cube root of 5^5* square root of 5	${\displaystyle \sqrt[3]{5^5}\cdot \sqrt{5}}$	Algebra
Simplify	(4x^-2y^4)/(8x^3(y^-2)^3)	${\displaystyle \frac{4x^{-2}{y}^4}{8x^3{\left(y^{-2}\right)}^3}}$	Algebra
Solve for x	24/(2x-4)=(x+6)/39	${\displaystyle \frac{24}{2x-4}=\frac{x+6}{39}}$	Algebra
Solve for p	9p-3p-5=19	${\displaystyle 9p-3p-5=19}$	Algebra
Simplify the Radical Expression	cube root of 8/512	${\displaystyle \sqrt[3]{\frac{8}{512}}}$	Algebra
Simplify	((x^2y^-3)/(z^2))^-1	${\displaystyle {\left(\frac{x^2{y}^{-3}}{z^2}\right)}^{-1}}$	Algebra
Solve for x	square root of x-3 = square root of 2x	${\displaystyle \sqrt{x-3}=\sqrt{2x}}$	Algebra
Simplify	(8a^3(b^5)^2)/(2a^5b^3)	${\displaystyle \frac{8a^3{\left(b^5\right)}^2}{2a^5{b}^3}}$	Algebra
Write in Slope-Intercept Form	2x-y<3	${\displaystyle 2x-y<3}$	Algebra
Simplify	((-6x^4y^6)^2)/((-4x^-3y^5)^3)	${\displaystyle \frac{{(-6x^4{y}^6)}^2}{{(-4x^{-3}{y}^5)}^3}}$	Algebra
Solve the Inequality for x	6 square root of 8x-32-13<=11	${\displaystyle 6\sqrt{8x-32}-13\le 11}$	Algebra
Graph	f(x)=1/8*4^(x+1)	${\displaystyle f\left(x\right)=\frac{1}{8}\cdot 4^{x+1}}$	Algebra
Simplify	(42x^-4y^10z^3)/(6x^2y^-2z)	${\displaystyle \frac{42x^{-4}{y}^{10}{z}^3}{6x^2{y}^{-2}z}}$	Algebra
Evaluate	(12^(4(10-8)))/4+5	${\displaystyle \frac{{12}^{4(10-8)}}{4}+5}$	Algebra
Identify the Conic	r=2/(1-cos(theta))	${\displaystyle r=\frac{2}{1-\cos \left(\theta \right)}}$	Algebra
Simplify	3/(6u)+(3u)/(4v)	${\displaystyle \frac{3}{6u}+\frac{3u}{4v}}$	Algebra
Evaluate the Function	f(x)=3-x at x=2	${\displaystyle f\left(x\right)=3-x}$ at ${\displaystyle x=2}$	Algebra
Simplify	(-1/2)*(m^2+2n-p)	${\displaystyle (-\frac{1}{2})\cdot (m^2+2n-p)}$	Algebra
Simplify	(i^4-i^2)/(i^3)	${\displaystyle \frac{i^4-i^2}{i^3}}$	Algebra
Write in Slope-Intercept Form	3x+y>=6	${\displaystyle 3x+y\ge 6}$	Algebra
Find All Complex Solutions	6- square root of x-2=x+4	${\displaystyle 6-\sqrt{x-2}=x+4}$	Algebra
Evaluate	-5^2*2^3*3^0	${\displaystyle -5^2\cdot 2^3\cdot 3^0}$	Algebra
Graph	y<1/2x+1 y<-2x+2	${\displaystyle y<\frac{1}{2}x+1}$ ${\displaystyle y<-2x+2}$	Algebra
Find All Complex Solutions	-3/(x+3)=x/(x+3)-x/5	${\displaystyle \frac{-3}{x+3}=\frac{x}{x+3}-\frac{x}{5}}$	Algebra
Solve for x	5/2=3/(2(x+5))+2/(x+5)	${\displaystyle \frac{5}{2}=\frac{3}{2(x+5)}+\frac{2}{x+5}}$	Algebra
Simplify	(-3x^2-5x+2)/(x^3+2x^2)	${\displaystyle \frac{-3x^2-5x+2}{x^3+2x^2}}$	Algebra
Solve the System of Equations	y=-5x y=x-6	${\displaystyle y=-5x}$ ${\displaystyle y=x-6}$	Algebra
Graph	f(x)=2-(x-1)^3	${\displaystyle f\left(x\right)=2-{(x-1)}^3}$	Algebra
Simplify	3*2x+9z+2-4x-1	${\displaystyle 3\cdot 2x+9z+2-4x-1}$	Algebra
Convert to a Decimal	12rad	${\displaystyle 12}$ radians	Algebra
Simplify the Radical Expression	square root of (x+5)^6	${\displaystyle \sqrt{{(x+5)}^6}}$	Algebra
Simplify	3(14÷(4^2-3^2)-5)	${\displaystyle 3(14÷(4^2-3^2)-5)}$	Algebra
Simplify	7 square root of 3y^2*2 square root of 6x^3y	${\displaystyle 7\sqrt{3y^2}\cdot 2\sqrt{6x^{3}y}}$	Algebra
Write as a Single Logarithm	1/2( log base 6 of 45- log base 6 of 5)+ log base 6 of 12	${\displaystyle \frac{1}{2}({\log }_6\left(45\right)-{\log }_6\left(5\right))+{\log }_6\left(12\right)}$	Algebra
Simplify	((5y^2)/(1-y^2))÷(1-1/(1-y))	${\displaystyle \frac{5y^2}{1-y^2}÷(1-\frac{1}{1-y})}$	Algebra
Evaluate	(-4x)^-3	${\displaystyle {(-4x)}^{-3}}$	Algebra
Find the x and y Intercepts	f(x)=(3/4)^(2(x+1))-5	${\displaystyle f\left(x\right)={\left(\frac{3}{4}\right)}^{2(x+1)}-5}$	Algebra
Solve the System of Equations	2/3x+3/7y=-13/3 1/8x+3/7y=-13/4	${\displaystyle \frac{2}{3}x+\frac{3}{7}y=-\frac{13}{3}}$ ${\displaystyle \frac{1}{8}x+\frac{3}{7}y=-\frac{13}{4}}$	Algebra
Graph	x^2-6x+9<=0	${\displaystyle x^2-6x+9\le 0}$	Algebra
Write as a Single Logarithm	2 log of x- log of y+2 log of z	${\displaystyle 2\log \left(x\right)-\log \left(y\right)+2\log \left(z\right)}$	Algebra
Solve for y	fourth root of 2y+3+1=0	${\displaystyle \sqrt[4]{2y+3}+1=0}$	Algebra
Solve for x	y=3 fourth root of x	${\displaystyle y=3\sqrt[4]{x}}$	Algebra
Simplify	(x^2+5x)/(x+7)-14/(x+7)	${\displaystyle \frac{x^2+5x}{x+7}-\frac{14}{x+7}}$	Algebra
Evaluate	(-9x+5)^(1/2)=(3+4x)^(1/2)	${\displaystyle {(-9x+5)}^{\frac{1}{2}}={(3+4x)}^{\frac{1}{2}}}$	Algebra
Simplify	((143xy)^0d^-8)/(d^-5)	${\displaystyle \frac{{\left(143xy\right)}^0{d}^{-8}}{d^{-5}}}$	Algebra
Simplify	((3x^2)/(x+2))÷((3x)/(x^2-4))	${\displaystyle \frac{3x^2}{x+2}÷\frac{3x}{x^2-4}}$	Algebra
Simplify the Radical Expression	(3- fourth root of 5x^2)/( fourth root of 3x^3)	${\displaystyle \frac{3-\sqrt[4]{5x^2}}{\sqrt[4]{3x^3}}}$	Algebra
Simplify the Radical Expression	fourth root of (x^12)/(y^16)	${\displaystyle \sqrt[4]{\frac{x^{12}}{y^{16}}}}$	Algebra
Simplify	((-3x^6)^2)/(5x^3*3x^3)	${\displaystyle \frac{{(-3x^6)}^2}{5x^3\cdot 3x^3}}$	Algebra
Convert to Radical Form	(5x)1/2	${\displaystyle \left(5x\right)\frac{1}{2}}$	Algebra
Simplify	(5-4 square root of 2)/(4-3 square root of 2)	${\displaystyle \frac{5-4\sqrt{2}}{4-3\sqrt{2}}}$	Algebra
Simplify	(x^5)^3(16x^8)^(1/2)	${\displaystyle {\left(x^5\right)}^3{\left(16x^8\right)}^{\frac{1}{2}}}$	Algebra
Solve for x	4/(x+3)-5/(3-x)=1/(x-3)-1	${\displaystyle \frac{4}{x+3}-\frac{5}{3-x}=\frac{1}{x-3}-1}$	Algebra
Simplify	(k^0m^-3)/(m^-3)	${\displaystyle \frac{k^0{m}^{-3}}{m^{-3}}}$	Algebra
Evaluate	f(-1)=3(2)^-1	${\displaystyle f(-1)=3{\left(2\right)}^{-1}}$	Algebra
Simplify	(24x)/(12-8x)	${\displaystyle \frac{24x}{12-8x}}$	Algebra
Simplify	8 cube root of 5- cube root of 40-2 cube root of 135	${\displaystyle 8\sqrt[3]{5}-\sqrt[3]{40}-2\sqrt[3]{135}}$	Algebra
Find the Degree, Leading Term, and Leading Coefficient	-10x^6-2x^5+4x^4+7x^3-9x^2+5.5x-1	${\displaystyle -10x^6-2x^5+4x^4+7x^3-9x^2+5.5x-1}$	Algebra
Solve for y	y=x/2+9 , x=-12	${\displaystyle y=\frac{x}{2}+9}$ , ${\displaystyle x=-12}$	Algebra
Solve for y	square root of y+3 = square root of 5-2y	${\displaystyle \sqrt{y+3}=\sqrt{5-2y}}$	Algebra