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

How can you construct perpendicular lines and prove theorems about perpendicular lines

Will give let f(x)=2x and g(x)=[tex]2^{x}[/tex] graph the functions on the same coordinate plane. what are the solutions to the equation f(x)=g(x) ? enter your answers in the boxes x=[? ] or x=[? ]

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?