The school wants to buy a new speaker system for the football stadium with the money they raised from the bake sale. They compared speaker system prices from two different distributors. From Schools'R'Us, a system, t, costs $210 less than twice the price of the same speaker system, d, at The Warehouse. The difference in price between the speaker system at Schools'R'Us and The Warehouse is $176.

Which system of equations can be used to determine the price of the speaker system at each distributor?
A.
2t - d = -210
t - d = 176

B.
t - 2d = -210
-t + d = 176

C.
2t - d = -210
-t + d = 176

D.
t - 2d = -210
t - d = 176

Given that (x-3) is a factor of f(x)=x^3+ax^2-x-6, find a and hence the number of real roots or the equation f(x)=0

How do the definitions, properties, and postulates you've learned about line segments, parallel lines, and angles to define the shapes of polygons

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?