Which expression can be used to determine the slope of the linear function represented in the table?

xy
05
49

StartFraction 9 minus 5 Over 4 minus 0 EndFraction
StartFraction 4 minus 0 Over 9 minus 5 EndFraction
StartFraction 5 minus 0 Over 9 minus 4 EndFraction
StartFraction 9 minus 4 Over 5 minus 0 EndFraction

If the public debt of a country in 2009 was $10432000000000 and the budget for 2010 was in deficit by $201645000000, what was the public debt in 2010? do not include commas in your answer.

Write the system of equations represented by the matrix. 0 1 2 4 -2 3 6 9 1 0 1 3

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?