Justin and michelle are playing a card game. In the first round, caitlin scored 100 points and justin scored 75 points. In each of the next few rounds, they each scored 50 points. Create a table to show how many points they scored in rounds 1-5

Round:      Justin:      Caitlyn:

1                   75              100

2                  85              110

3                  95              120

4                 105              130

5                  110              140

6                  115              150

10 points each round (i may be wrong)

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: