What happens to the graph of a line when the slope is negative? check all that apply. may choose more then 1.
a. as the absolute value of the negative slope gets bigger, the graph of the line gets steeper.
b. as the absolute value of the negative slope gets smaller, the graph of the line gets steeper.
c. the line goes down from left to right.
d. the line shifts down.
e. the line goes up from left to right

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10

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?

At the beginning of year 1, carlos invests $600 at an annual compound interest rate of 4%. he makes no deposits to or withdrawals from the account. which explicit formula can be used to find the account's balance at the beginning of year 5? what is, the balance?