Answer:
Each goal gives 5 points and a penalty costs 7 points.
Step-by-step explanation:
Let a penalty cost = x points
And a goal gives = y points
Ben makes 7 goals and 2 penalties ending the game with 21 points,
7y - 2x = 21 --------(1)
Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,
10y - 8x = -6
5y - 4x = -3 --------(2)
Equation (1) multiplied by 2, then subtracted from equation (2),
(5y - 4x) - 2(7y - 2x) = -3 - 2(21)
5y - 4x - 14y + 4x = -3 - 42
-9y = -45
y = 5
From equation (1)
7(5) - 2x = 21
35 - 2x = 21
2x = 35 - 21
2x = 14
x = 7
Therefore, each goal gives 5 points and a penalty costs 7 points.
The slope of the line is -23
<h3>How to determine the
slope of the
line?</h3>
The line’s equation is given in point-slope form:
y − 6 = (−23)(x + 6)
The line’s equation in point-slope is represented as:
y − y1 = m(x - x1)
Where
m represents the slope
By comparing y − y1 = m(x - x1) and y − 6 = (−23)(x + 6), we have
m = -23
Hence. the slope of the line is -23
Read more about slope at:
brainly.com/question/3493733
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▹ Answer
<em>8 - 3q</em>
▹ Step-by-Step Explanation
19 - 4q + q - 11
Combine like terms in terms of q:
-4q + q = -3q
Combine like terms:
19 - 11 = 8
Final answer:
8 - 3q
Hope this helps!
CloutAnswers ❁
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Answer:
2 + m- 1 + m
Step-by-step explanation:
3m +1 -m
Combine like terms
3m-m +1
2m +1
We can split the m's
m+m +1
And we can rewrite 1 as 2-1
m+m+2-1
m+2+m-1
Rearranging the order
