Ella and kate play basketball last year ella scored 16 points per game kates total points for the season were 22 less than ellis the following expression shows kates total points 16z-22. in the expression what does variable z represent?

Alright, lets get started.

Ella and kate played basketball last year.

In each game, Ella scored 16 points.

We have not given the number of games played.

So, lets suppose there are n games played last year.

So, total points of Ella will be = number of games * each game score

total points of Ella will be = n * 16 = 16 n

Kates total points for the season are 22 less than Elli's points

Means , Kates total points = 16 n - 22

This expression is similar with expression given 16 z - 22 (which is give in question)

It means z = n , means variable z means total games played in last year. : Answer

Hope it will help :)

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step-by-step explanation:

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: