91Ó°ÊÓ

Use interval notation to express the solution set of each inequality. $$|x+3|>30$$

Determine the profit function for the given revenue function and cost function. Also determine the break-even point. $$R(x)=124 x ; C(x)=78.5 x+5005$$

Projectile The height in feet of a projectile with an initial velocity of 64 feet per second and an initial height of 80 feet is a function of time \(t\) in seconds given by $$ h(t)=-16 t^{2}+64 t+80 $$ a. Find the maximum height of the projectile. b. Find the time \(t\) when the projectile achieves its maximum height. c. Find the time \(t\) when the projectile has a height of 0 feet.

The perimeter of a rectangle is 27 centimeters, and its area is 35 square centimeters. Find the length and the width of the rectangle.

Find the two points on the circle given by \(x^{2}+y^{2}=25\) such that the slope of the radius from (0,0) to each point is 0.5.

Find a formula for the set of all points \((x, y)\) for which the sum of the distances from \((x, y)\) to (4,0) and from \((x, y)\) to (-4,0) is 10

Simplify \(\sqrt{50} .[\mathrm{A} .1]\)

Find an equation of a circle that is tangent to both axes, has its center in the second quadrant, and has a radius of 3.