Megan and sam were solving a system of equations. they both noticed that the two lines had different slopes. megan said that because each line in the system had different slopes, the two lines had to intersect, which meant there was one solution to the system. sam disagreed, and said they should also look at the y-intercepts. who is correct?

a. megan is correct. when two lines have different slopes, they must intersect, producing one solution.
b. neither person makes a valid argument.
c. sam is correct. when two lines intersect, their y-intercepts determine how many solutions there will be.

Write each fraction as an equivalent fraction with a denominator of 120then write the original fractions in order from samllest to largest

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

A. 127 cm^2 b. 144.5 cm^2 c. 172 cm^2 d. 50 cm^2