Properly identifying and assigning the proper variables to each part of the problem before attempting to solve it
Answer:
∅
Step-by-step explanation:
The solution to the system of equations is the points of intersection of the 2 graphs.
Since the 2 graphs have no points of intersection there is no solution.
This is represented by the empty set ∅
Answer:
Find the inverse f-1(x) for the given function f(x)=2x-5
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y
f
^−
1
(
x
)
=
x
/2
+
5/2
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.
Infinity Many Solutions
Write above. Thank me tomorrow when it’s right
- Harvard university professor
