3. Determine the values of a, b, and c, if the slope of the tangent to the curve y = ax3 + bx2 + cx at it's point of inflection (1,5) is 4.

Find the average speed of a rabbit that runs a distance of 22 m in a time of 1.8 s .

The rumpart family is building a new room onto their house. the width of the new room will be 16 feet. the length of the room will be 4% greater than the width. write an expression to find the length of the new room. what will be the area of this new room?

Determine the number of outcomes in the event. decide whether the event is a simple event or not. upper a computer is used to select randomly a number between 1 and 9 comma inclusive. event upper b is selecting a number greater than 4. event upper b has nothing outcome(s). is the event a simple event? (yes or no) because event upper b has (fewer than, exactly, more than) one outcome.