1. simplify the expression (3x+5)/(2(x+1/4x)-1)
2. determine the domain and range of the function {(-3,,,9)}
3. find the vertex of the parabola that represents the function f(x)=(x-5)^2+9
4. find the domain of the function . write the answer in interval notation f(x)=(2x^3-250)/(x^2-2x-15)
5. find the domain of the function g(x) = 4/x^2+3x+2. write your answer in set builder notation.
6. which of the following functions have only one point that is not in the domain? select all that apply.
a. f(x)= x^2-6x-8
b. f(x)=3/x^2+2x+1
c. f(x)=1/x^2+5x+4
d. f(x)=5/3+x
7.

Mr and mrs smith buy tickets for themselves and their four children. the cost of an adult ticket is ? 6 more than the adult ticket. the total cost of the six tickets is ? 40.50 work out the cost of an adult ticket. in your working let c be the cost of the child ticket and a be the cost of the adult ticket.

Me on this one i will give you 20pts. answer should be in detail . this is the discussion topic. one of the most fiercely debated topics in sports is the hot hand theory. the hot hand theory says that success breeds success. in other words, rather than each shot a basketball player takes or each at-bat a baseball player has being an independent event, the outcome of one event affects the next event. that is, a player can get hot and make a lot of shots in a row or get a lot of hits in a row. the hot hand theory, however, has been shown to be false in numerous academic studies. read this article, which discusses the hot hand theory as it relates to a professional basketball player. state whether you agree or disagree with the hot hand theory, and give reasons for your opinion. be sure to use some of the terms you’ve learned in this unit, such as independent event, dependent event, and conditional probability, in your answer.

Find the domain of the following expression: 1/(√x)-2