Hotel management: the airgle ag800 can purify the air in a conference hall in 20 fewer minutes than it takes the airgle ag950 to do the same job. together, the two machines can purify the air in the conference hall in 10.5 min. how long would it take each machine, working alone, to purify the air in the room?

Demonstrate the proof of your new polynomial identity through an algebraic proof and a numerical proof in an engaging way! make it so the whole world wants to purchase your polynomial identity and can't imagine living without it! you must: label and display your new polynomial identity prove that it is true through an algebraic proof, identifying each step demonstrate that your polynomial identity works on numerical relationships create your own using the columns below. see what happens when different binomials or trinomials are combined. square one factor from column a and add it to one factor from column b to develop your own identity. column a column b (x − y) (x2 + 2xy + y2) (x + y) (x2 − 2xy + y2) (y + x) (ax + b) (y − x) (cy + d)

Given the conditional statement, match the following. conditional statement: if two lines intersect, then their intersection is one point.

Which of the following is true for the relation f(x)=2x^2+1