Graphing the solution region of a system can get messy. brainstorm ways of graphing the solution region that aren’t so messy. be creative. select one of the systems below and work it out step by step using your method . provided systems:
three inequality system written in standard form:
4x+y> 8
2x-3y< 18
y< 0

y> 2x-5
y< -4x+2
x> 0
or
four inequality systems:
3y> x-24
4x+y< 6
y< 4x-1
y< 0

y< 2/3 x + 6
y x> 0
y> 0
show work

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.

In an improper fraction, is the numerator equal to, less than, or greater than the denominator