Solve each equation. √(3√(2x+3)) = √(5x-6)

Solve each rational inequality. Give the solution set in interval notation. 3/(x-2)<1

In the metric system of weights and measures, temperature is measured in degrees Celsius (°C) instead of degrees Fahrenheit (°F). To convert between the two systems, we use the equations. C =5/9 (F-32) and F = 9/5C+32. In each exercise, convert to the other system. Round answers to the nearest tenth of a degree if necessary. 100°F

Solve each equation. 10/(4x-4) = 1 /(1-x)

Find each product. Write answers in standard form. (√6+i)(√6-i)

Solve each rational inequality. Give the solution set in interval notation. -4/(1-x)<5

Solve each equation. 3-√x=√(2(√x)-3)

Solve each equation or inequality.

$\mid 4x+3\mid >0$

Solve each equation. (√x)+2=√(4+7√x)

Solve each equation. (x-4)^2/5 = 9

Solve each rational inequality. Give the solution set in interval notation. 10/(x+3)≥1

Work each problem. Round to the nearest tenth of a degree if necessary. Temperature of VenusVenus is the hottest planet, with a surface temperature of 867°F. What is this temperature in degrees Celsius? (Data from The World Almanac and Book of Facts.)

Solve each equation. ∛(4x+3)=∛(2x-1)

Write an equation involving absolute value that says the distance between p and q is 2 units.

Find each product. Write answers in standard form. i(3-4i)(3+4i)

Solve each equation. ∛2x=∛(5x+2)

Solve each cubic equation using factoring and the quadratic formula. See Example 7.

$x^3-27=0$

Solve each rational inequality. Give the solution set in interval notation. 3/(x+5)>2

Find each product. Write answers in standard form. i(2+7i)(2-7i)

Solve each rational inequality. Give the solution set in interval notation. 10/(3+2x)≤5

Work each problem. Round to the nearest tenth of a degree if necessary. Temperature in South Carolina A record high temperature of 113°F was recorded for the state of South Carolina on June 29, 2012. What is the corresponding Celsius temperature? (Data from U.S. National Oceanic and Atmospheric Administration.)

Solve each equation. (x-2)^2/3 = x^1/3

Write each statement using an absolute value equation or inequality.

m is no more than 2 units from 7.

Find each product. Write answers in standard form. 3i(2-i)²

Solve each cubic equation using factoring and the quadratic formula. See Example 7.

$x^3+64=0$

Solve each rational inequality. Give the solution set in interval notation. 1/(x+2)≥3

Solve each rational inequality. Give the solution set in interval notation. 7/(x+2)≥1/(x+2)

Solve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. $s=\left(\frac{1}{2}\right)g{t}^2$, for t

Solve each equation. ∜(x-15)=2

Solve each equation. (√x+2)-x = 2