Tamara and Alex arrive at a park at the same time. Tamara lives 8 mi from the park and Alex lives 6 mi from the park. After meeting at the park, Tamara goes to a store that is 8 mi from the park, while Alex goes to a store that is 6 mi from the park. The function f(x) = 2|x| represents Tamara’s time and distance from her home to the park and then to the store. The function g(x) = 3|x| represents Alex’s time and distance from his home to the park and then to the store. Graph each absolute value function. Identify the vertex of each graph. What does the vertex represent?

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

Use the distributive law to multiply. 3(4x + 5y + 6)

How to do this , and can some one explain