Todd travels frequently for his business. For tax reasons, he wants to use up all of his remaining money in his business travel fund this year. He uses the function f (x) = x^2− 8 x + 16 to determine how many trips he must take to spend all of his remaining business travel funds. In this function, x represents the number of trips and f ( x ) is the amount of money left in his fund after the trips. The discriminant of this quadratic function tells us that his quadratic equation has real solutions

A. none

B. one

C. two

D. three
According to this function, Todd can use all of the remaining money in his travel fund if he takes business trips this year.

A. two

B. three

C. four

D. five

Jeffery conducted a survey in his school and found that 30 of the 50 eighth grade students' favorite subject is mathematics. based on the results, jeffery concluded that out of the 200 students in his school, 120 students' favorite subject is mathematics. select the statement that is true about jeffery's conclusion. a. jeffery's conclusion is not valid because the sample was biased since only 200 students were surveyed. b. jeffery's conclusion is valid because the sample was random since all of the students were eighth grade students. c. jeffery's conclusion is valid because the sample was random. d. jeffery's conclusion is not valid because the sample was biased since all of the students were eighth grade students.

Determine the difference: 3.2 × 1010 – 1.1 × 1010. write your answer in scientific notation.

Jonathan can type 20 documents in 40 minutes ,and susan can type it in 30 minutes and jack can type it in 24 minutes working together ,how much time will it is take them type the same document