On a coordinate plane, a piecewise function has 3 lines. The first line has an open circle at (negative 1, negative 3) and continues up through (negative 4, 0) with an arrow instead of an endpoint. The second line has a closed circle at (negative 1, 2), continues horizontally at y = 2, then has an open circle at (3, 2). The third line has a closed circle at (3, 5) and continues down through (5, 1) with an arrow instead of an endpoint. Consider the piecewise-defined function given by the graph. What are these values?

f(–3) =

f(–1) =

f(3) =

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

The larger of two number is 4 less than twice the smaller number. the sum is 41. find the numbers

David is spreading mulch on a triangular area of his flower bed. the coordinates of the vertices of the area are (1, 3), (9, 3), and (4, 6). what is the area of the triangle if each square has an area of 3 square feet?