Hich ordered pairs in the form (x, y) are solutions to the equation 4x−5y=24 select each correct answer. (1, −4) (4, 8) (6, 0) (−9, −12)

(1, - 4), (6, 0), (- 9, - 12)

Step-by-step explanation:

To determine which ordered pairs are solutions, substitute the coordinates of the points into the left side of the equation and if equal to the right side then they are solutions.

(1, - 4)

(4 × 1) - (5 × - 4) = 4 - (- 20) = 4 + 20 = 24 ← this is a solution

(4, 8 )

(4 × 4) - (5 × 8) = 16 - 40 = - 24 ← not a solution

(6, 0 )

(4 × 6) - (5 × 0) = 24 - 0 = 24 ← this is a solution

(- 9, - 12 )

(4 × - 9) - (5 × - 12) = - 36 - (- 60) = - 36 + 60 = 24 ← this is a solution

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.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.