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:
Step-by-step explanation:
hello :
−7x>10
multiply by : -1 : 7x < -10
x< -10/7
the rates of change will be 210. if the change is after 8 hours than the rate of change will be 105
Answer:
By saying "paying the same rate"
I believe you want to know for example when two people are buying a product how to know if they are paying the same amount.
If so then there are a couple of factors at play.
First of all you need to identify the GDP of the product and the amount of tax/VAT which if calculated properly may help you tell if they are paying the same amount or not.
Answer:
The equation of the line is given as 2 y - x = 4.
Step-by-step explanation:
Here, the slope of the given line = 1/2
The point on the line is (x0,y0) = (6,5)
Now, by POINT SLOPE FORMULA:
The equation of line with (x0,y0) and slope m is written as:
(y - y0) = m (x-x0)
So, here the equation of line is given as
Hence the equation of the line is 2 y - x = 4.
