Acertain calling card gives the following rate to call malaysia. there is a connection fee of $0.39 which allows you to connect for up to (but not including) one minute. for each additional minute or part of a minute, there is a $0.24 cent charge. (for example, 1 minute up to but not including 2 minutes costs $0.63.) this fare is only valid for up to (but not including) 40 minutes. 15. express this information as a function, where f(x) represents the amount of money charged and x represents the number of minutes which have elapsed. 16. what is the domain for this function? 17. what is the range for this function? 18. what is f(2.5)? what does this value represent in the context of the problem? 19. is this function one-to-one? how do you know?

Written as a simplified polynomial in standard form, what is the result when (2x+8)^2(2x+8) 2 is subtracted from 8x^2-38x 2 −3?

The statements below can be used to prove that the triangles are similar. ? △abc ~ △xyz by the sss similarity theorem. which mathematical statement is missing? ∠b ≅ ∠y ∠b ≅ ∠z

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.