Analyze the function f (x) = - 2 cot 3x. Include:

- Domain and range

- Period

- Two Vertical Asymptotes

Tim bought a pen for $2.25, a pencil for $0.59, a notebook for $6.49, and a highlighter for $1.49. He used a coupon that gave him $5.25 off his entire purchase. How much did he spend in total?

The ratio 25:45 in simplest form is

Apply the distributive property to create an equivalent expression 4 (x-2+y) =

Complete the steps to identify all potential rational roots of f (x) = 3x2 - x - 4. Values of p are factors of. Values of q are factors of.

The ratio of the sides of a triangle is 2:6:7 if the perimeter of tge triangle is 195 meters, what is the length of the longest side

The cost of petrol rises by 2 cents a liter. last week a man bought 20 liters at the old price. This week he bought 10 liters at the new price. Altogether, the petrol costs $9.20. What was the old price for 1 liter?

1. Which equation represents the linear graph? A) y = 2x - 4 B) y = 2x + 4 C) y = 4x - 2 D) y = 4x + 2

Mary has $500 in her account. She makes a $350 withdrawal, deposits $100, and then gets charged a $20 fee. How much does she have in her account? A) $180 B) $230 C) $290 D) $340

A function g (x) has x-intercepts at (1/2,0) and (6,0). Which could be g (x) ? g (x) = 2 (x + 1) (x + 6) g (x) = (x-6) (2x - 1) g (x) = 2 (x - 2) (x-6) g (x) = (x + 6) (x + 2)

Roger is training for a half-marathon. The course is 13.1 miles long. Let p represent Roger's average pace in minutes per mile. Write and solve an inequality to show the average pace needed to finish the half marathon in less than 2 hours.