f (x ) = 2 x + 5
For g (x) we will solve the system:
- 1 =-2 m + b
+
-9 = 2 m + b
----------------------
-10 = 2 b, b = -5
-9 = 2 m - 5
2 m = -4
m = -2
g ( x ) = - 2 x - 5
For h (X):
m = (-1-5 ) / ( 3-0 ) = -6/3 = -2
5 = 0 + b, b = 5
h ( x) = - 2 x + 5.
Now we have 4 linear functions:
1 ) f ( x ) = 2 x + 5
The slope is m = 2, y - intercept: y = 5 , zero: x = -2.5 and the function increases ( m > 0 ).
2 ) g(x) = - 2 x - 5
The slope is m = - 2, y-intercept: y =-5 , zero: x = -2.5 and the function decreases ( m < 0 ).
3 ) h ( x ) = - 2 x + 5
The slope is m = - 2, y - intercept . y = 5, zero: x = 2.5 and the function decreases.
4 ) j (x) = 2 x + 5
The slope is m = 2, y -intercept: y = 5, zero: x = -2.5 and the function decreases.
The functions f( x ) and j ( x ) are parallel and also g( x ) and h ( x ). They have the same slope.
The functions f ( x ) and j (x ) are increasing and h ( x ) and h ( x ) are decreasing.
Answer:
Angle 1 = 41°
Step-by-step explanation:
Since they are both vertical angles
(6x+11)° = (10x-9)°
6x - 10x = -9 - 11
-4x = -20
4x = 20
x= 5.
Therefore,
Angle 1 = 6(5) + 11
Angle 1 = 30 + 11
Angle 1 = 41°
Answer: 8 22 7 13 from top to bottom
Step-by-step explanation:
On the first row, the number of 2-player games is 1 meaning 2 players are playing meaning 48 are left to play the 6-player games so 8 is the number
On the second, the number of 6-player games is 1 meaning 6 players are playing meaning 44 are left to play the 2-player games so 22 is the number
On the third, the number of 2-player games is 4 meaning 8 players are playing meaning 42 are left to play the 6-player games so 7 is the number
On the fourth, the number of 6-player games is 4 meaning 24 players are playing meaning 26 are left to play the 2-player games so 13 is the number
The average score for the entire year is 88.44444, so by rounding down the answer is 88%
