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part 1. create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. use the equation below as a model. ax+b+c=d use a constant in place of each variable a, b, c, and d. you can use positive and negative constants in your equation. part 2. show your work in solving the equation. include the work to check your solution and show that your solution is extraneous. part 3. explain why the first equation has an extraneous solution and the second does not.

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

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.

Explain how you could use the interactive table to tell if sets of points are on the same line. math 8