Using the polynomials q = 3 x2 + 5 x - 2, r = 2 - x2 , and s = 2 x + 5, perform the indicated operation. q - [ r + s ]

4x^2 + 3x - 9

Step-by-step explanation:

First, add together functions R(x) and S(x).  Stack them vertically and combine like terms:

R(x) = 2 - x^2

S(x) = 2x + 5

(R+S)(x) = -x^2 + 2x + 7

Now subtract the above result from Q(x):

Q(x) - (R(x) + S(x)) =  3x^2 + 5x - 2  + x^2 - 2x - 7, or 4x^2 + 3x - 9

angle q= 92 degree

step-by-step explanation:

the solution is in the picture

when a quadrilateral is inscribed in a circle, the opposite angles are supplement to each other. in other words, the sum of the 2 angle is 180 degree

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.