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.
P(x) = x-4
k(x-4) = 5(x-4) - 8 = 5x - 28
So the answer is 2
Answer:
180
Step-by-step explanation:
k = 3
v = 60
(Found v by dividing any of the top numbers by the bottom number, ex: 420/7 = 60)
3k = 3(60)
3k = 180
8x + 7 = 5
A "product" is the result of a multiplication operation. So the product of a number, ( which we will call x,) and 8 would be 8x. (Or 8*"x" number) 7 more than that product would be 8x + 7 = 5
Hope that this helps!
