To enter a local fair, one must pay an entrance fee and pay for the number of ride tickets he/she wants. admission to the fair is given by the equation f(x) = .50x + 10, where x represent the number of tickets purchased and f(x) represents the total price. on opening weekend, they have a discount night where they decrease the tickets price to 5 cent each. how does this change the equation?

Dilations map circles to circles and ellipses to ellipses with the same. true or false

Apositive number a or the same number a increased by 50% and then decreased by 50% of the result?

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?