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.
Answer:
7,599
Step-by-step explanation:
Answer:
g(x) = –5*(0.8)^x
Step-by-step explanation:
In order to get the reflection of a function across the x-axis, you have to multiply that function by (-1)
Given the function:
f(x) = 5*(0.8)^x
then, its reflection across the x-axis is -f(x) = g(x) = –5*(0.8)^x. This result can be checked replacing the known points into the equation, as follows:
x | g(x)
0 | –5*(0.8)^0 = -5
1 | –5*(0.8)^1 = -4
4 | –5*(0.8)^4 = -2
