Determine if the following statements are true or false. If true give a reason or cite a theorem and if false, give a counter example. a. If {a _n} is bounded, then it converges.
b. If {a _n} is not bounded, then it diverges.
c. If {a _n} diverges, then it is not bounded

Give an example of divergent sequences {a _n} and {b _n} such that {a _n + b _n} converges

Identify the conclusion of the conditional statement. if you live in phoenix, then you live in arizona.

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 5x^2 + 10x