Fine one of the zeros of f(x) =4x^2 + 16x -20

(Make sure to set f(x) to zero)

For this, I will be completing the square. Firstly, add 20 to both sides of the equation:

Next, divide both sides by 4:

Next, we want to make the right side of the equation a perfect square. To do that, divide the x coefficient by 2 and square that quotient. In this case:

4 ÷ 2 = 2, 2² = 4

Add four to both sides of the equation:

Next, factor the right side of the equation:

Next, square root both sides of the equation:

Lastly, subtract 2 to both sides of the equation and your answers are:

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

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.