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True [87]
3 years ago
14

In a football (soccer) league, teams receive 3 points for a win (W), 2 points for a tie (T) and 1 point for a loss (L).

Mathematics
1 answer:
Marrrta [24]3 years ago
7 0
A) Total points = 3W + 2T + 1L

b) (3*5) + (2*2) + (3*1)
15 + 4 + 3 = 22
The Black Scot’s total points were 22

c) so, Wins + Ties + Losses = 10 because there were only 10 games played. but we also have to remember that we only can have 22 points. I just randomly plug in numbers until I get what I am looking for.

so I did 4 wins, 4 ties, and 2 losses. this is a total of 10 games, and the points equal 22. we just plug those values into our first equation:
(3*4) + (2*4) + (1*2)
12 + 8 + 2 = 22 points


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A linear function has an x-intercept of 12 and a slope of 3/8. How does this
Alekssandra [29.7K]

Answer:

O It has the same slope and a different y-intercept.

Step-by-step explanation:

y = mx + b

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---

Data in the table:  slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).

 Change in x and y between two points.  I'll choose (-2/3,-3/4) and (1/3,-3/8).

Change in y:  (-3/8 - (-3/4)) = (-3/8 - (-6/8))  =  3/8

Change in x:  (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1

Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8

The slope of the equation is the same as the data in the table.

Now let's determine if the y-intercept is also the same (12).  The equation for the data table is y = (2/3)x + b, and we want to find b.  Enter any of the data points for x and y and then solve for b.  I'll use (-2/3, -3/4)

y = (3/8)x + b

Use (-2/3, -3/4)

-3/4 =- (3/8)(-2/3) + b

-3/4 = (-6/24) + b

b = -(3/4) + (6/24)

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b = -(6/12)

b = -(1/2)

The equation of the line formed by the data table is y = (3/8)x -(1/2)

Therefore, It has the same slope and a different y-intercept.

5 0
3 years ago
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