Find the x-intercepts of the parabola with
vertex (-3,-14) and y-intercept (0,13).
write your answer in this form: (x1,y1), (x2,42).
if necessary, round to the nearest hundredth.

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

Find the area of an equilateral triangle with a side of 6 inches

Michael is training for a marathon. in his first week he plans to run 8miles. what path should he take