Physics A ball is thrown vertically upward with an initial

Solve the inequality-3x - 2 6 7

Write 1-2, 7] using inequality notation

In Problems 36, use the figure to solve each inequality.!4 !3 3 3 (!2, 0) (2, 0) y " f(x) (a) (b) f1x2 0 f1x2 7 0

In Problems 36, use the figure to solve each inequality.y !5 !4 !2 2 4 5 (!1, 0) (4, 0) (1.5, 5) y " g(x) (a) (b) g1x2 0 g1x2 6 0

In Problems 36, use the figure to solve each inequality.y !4 !4 4 8 (!2, 8) (1, 2) (2, 8) y " g(x) y " f(x) a) (b) f1x2 7 g1x2 g1x2 f1x2

In Problems 36, use the figure to solve each inequality.y !12 !3 3 6 (!3, !12) (3, !12) (1, !3) y " g(x) (a) (b) f1x2 g1x2 f1x2 6 g1x2

In Problems 722,solve each inequality.- 3x - 10 6 0

In Problems 722,solve each inequality.+ 3x - 10 7 0

In Problems 722,solve each inequality.x + 8x 7 0 2 x - 4x 7 0

In Problems 722,solve each inequality.x2 x + 8x 7 0

In Problems 722,solve each inequality.x - 1 6 0 2 - 9 6 0

In Problems 722,solve each inequality.x + x 7 12 2 x - 1 6 0

In Problems 722,solve each inequality.x + 7x 6 -12 2 x + x 7 12

In Problems 722,solve each inequality.x2 x + 7x 6 -12

In Problems 722,solve each inequality.2x 6 6 + 5x 2 6 5x + 3

In Problems 722,solve each inequality.6x - x + 1 0 2 2x 6 6 + 5x

In Problems 722,solve each inequality.x + 2x + 4 7 0 2 6x - x + 1 0

In Problems 722,solve each inequality.x2 x + 2x + 4 7 0

In Problems 722,solve each inequality.4x + 16 6 40x 2 + 9 6 6x

In Problems 722,solve each inequality.25x - 12 7 5x 2 4x + 16 6 40x

In Problems 722,solve each inequality.61x - 3x2 7 -9 2 25x - 12 7 5x

In Problems 722,solve each inequality.212x2 61x - 3x2 7 -9

What is the domain of the functionf1x2 = 2x ? 2 - 16?

What is the domain of the functionf1x2 = 2x - 3x2?

In Problems 2532, use the given functions f and g. (a) Solve f1x2 = 0. (b) Solve g1x2 = 0. (c) Solve f1x2 = g1x2. (d) Solve f1x2 7 0. (e) Solve g1x2 0. (f) Solve f1x2 7 g1x2. (g) Solve f1x2 1.f1x2 = x2 - 1 g1x2 = 3x + 3

In Problems 2532, use the given functions f and g. (a) Solve f1x2 = 0. (b) Solve g1x2 = 0. (c) Solve f1x2 = g1x2. (d) Solve f1x2 7 0. (e) Solve g1x2 0. (f) Solve f1x2 7 g1x2. (g) Solve f1x2 1.f1x2 = -x2 + 3 g1x2 = -3x + 3

In Problems 2532, use the given functions f and g. (a) Solve f1x2 = 0. (b) Solve g1x2 = 0. (c) Solve f1x2 = g1x2. (d) Solve f1x2 7 0. (e) Solve g1x2 0. (f) Solve f1x2 7 g1x2. (g) Solve f1x2 1.f1x2 = -x2 + 1 g1x2 = 4x + 1

In Problems 2532, use the given functions f and g. (a) Solve f1x2 = 0. (b) Solve g1x2 = 0. (c) Solve f1x2 = g1x2. (d) Solve f1x2 7 0. (e) Solve g1x2 0. (f) Solve f1x2 7 g1x2. (g) Solve f1x2 1.f1x2 = -x2 + 4 g1x2 = -x - 2

In Problems 2532, use the given functions f and g. (a) Solve f1x2 = 0. (b) Solve g1x2 = 0. (c) Solve f1x2 = g1x2. (d) Solve f1x2 7 0. (e) Solve g1x2 0. (f) Solve f1x2 7 g1x2. (g) Solve f1x2 1.f1x2 = x2 - 4 g1x2 = -x2 + 4

In Problems 2532, use the given functions f and g. (a) Solve f1x2 = 0. (b) Solve g1x2 = 0. (c) Solve f1x2 = g1x2. (d) Solve f1x2 7 0. (e) Solve g1x2 0. (f) Solve f1x2 7 g1x2. (g) Solve f1x2 1.f1x2 = x2 - 2x + 1 g1x2 = -x2 + 1

In Problems 2532, use the given functions f and g. (a) Solve f1x2 = 0. (b) Solve g1x2 = 0. (c) Solve f1x2 = g1x2. (d) Solve f1x2 7 0. (e) Solve g1x2 0. (f) Solve f1x2 7 g1x2. (g) Solve f1x2 1.f1x2 = x2 - x - 2 g1x2 = x2 + x - 2

In Problems 2532, use the given functions f and g. (a) Solve f1x2 = 0. (b) Solve g1x2 = 0. (c) Solve f1x2 = g1x2. (d) Solve f1x2 7 0. (e) Solve g1x2 0. (f) Solve f1x2 7 g1x2. (g) Solve f1x2 1.f1x2 = -x2 - x + 1 g1x2 = -x2 + x + 6

Physics A ball is thrown vertically upward with an initial velocity of 80 feet per second. The distance s (in feet) of the ball from the ground after t seconds is (a) At what time t will the ball strike the ground? (b) For what time t is the ball more than 96 feet above the ground?

Physics A ball is thrown vertically upward with an initial velocity of 96 feet per second.The distance s (in feet) of the ball from the ground after t seconds is (a) At what time t will the ball strike the ground? (b) For what time t is the ball more than 128 feet above the ground?

Revenue Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p dollars, the revenue R (in dollars) is R1p2 = -4p2 + 4000p(a) At what prices p is revenue zero? (b) For what range of prices will revenue exceed $800,000?

Revenue The John Deere company has found that the revenue from sales of heavy-duty tractors is a function of the unit price p, in dollars, that it charges. If the revenue R, in dollars, is (a) At what prices p is revenue zero? (b) For what range of prices will revenue exceed $1,200,000?R1p2 = - 1 2 p2 + 1900p

Artillery A projectile fired from the point (0, 0) at an angle to the positive x-axis has a trajectory given by y = cx - 11 + c22ag2b axv b2 where x " horizontal distance in meters y " height in meters " initial muzzle velocity in meters per second (m/sec) g"acceleration due to gravity = 9.81 meters per second squared (m/sec2 ) is a constant determined by the angle of elevation. A howitzer fires an artillery round with a muzzle velocity of 897 m/sec.(a) If the round must clear a hill 200 meters high at a distance of 2000 meters in front of the howitzer, what c values are permitted in the trajectory equation? (b) If the goal in part (a) is to hit a target on the ground 75 kilometers away, is it possible to do so? If so,for what values of c? If not, what is the maximum distance the round will travel?

Runaway Car Using Hookes Law, we can show that the work done in compressing a spring a distance of x feet from its at-rest position is , where k is a stiffness constant depending on the spring. It can also be shown that the work done by a body in motion before it comes to rest is given by , where w = weight of the object (lb), g = acceleration due to gravity (32.2 ft/sec2 ), and objects velocity (in ft/sec). A parking garage has a spring shock absorber at the end of a ramp to stop runaway cars. The spring has a stiffness constant k = 9450 lb/ft and must be able to stop a 4000-lb car traveling at 25 mph.What is the least compression required of the spring? Express your answer using feet to the nearest tenth. [Hint: Solve ]. Source: www.sciforums.com W 7 W ' , x 0

Show that the inequality 1x - 422 0 has exactly one solution.

Show that the inequality 1x - 222 7 0 has one real number that is not a solution.

Explain why the inequality x2 + x + 1 7 0 has all real numbers as the solution set.

Explain why the inequality x2 - x + 1 6 0 has the empty set as solution set.

Explain the circumstances under which the x-intercepts of the graph of a quadratic function are included in the solution set of a quadratic inequality.