David wants to rent a bicycle for a couple of hours to explore the city. The price of the bike rental, (P), depends on the time the bike was out, (t). The price consists of a base charge of $8 and a variable hourly cost. The graph of the function is shown below. • The hourly charge is ($ ) per hour for the first 3 hours.

• The rate then drops to ($ ) per hour until the end of the 6th hour.

• The hourly rate drops further to ($ ) per hour between the 6th and 10th hours.

• The maximum price of the bike rental is ($ ).
Please help

The larger of two number is 4 less than twice the smaller number. the sum is 41. find the numbers

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?

Mr. brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. he has drawn a sketch on a coordinate grid. he has the lower vertices of the sign at (9, –3) and (–6, –3). where would the upper vertices be on the grid?