Exam 1: Equations and Inequalities

The height h in feet of an object thrown upward from a height of 4 ft, with an initial velocity of 30 ft/sec, is given by the equation , where h represents the height of the object after t seconds. How long will it take the object to hit the ground? Answer in decimal form rounded to the nearest thousandth.

Use the following to answer questions : -Express the compound inequality in interval notation.

Solve.

Identify the equation as an identity, a contradiction, or a conditional equation. If conditional, state the solution. -6(x + 3) = -3 + 3(-2x - 5)

Solve. Simplify your results. x² = -3x - 6

At 9:00 a.m. a truck leaves the truck yard and travels west at a rate of 35 mph. At 11:00 a.m., a second truck leaves along the same route, traveling at 70 mph. When will the second truck catch up to the first?

Determine the domain for the expression. Write your answer in interval notation.