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:
22.85
Step-by-step explanation:
20. 64. 2.7
+29 +49 58.6
------ ------ ---------
49. 113 60 .3
49+60.3+113=21.5
Answer:

Step-by-step explanation:
Mean 
Standard deviation 
Estimated price 
Generally the equation for P(x<3.12) is mathematically given by


Since from Z table

Therefore the proportion of the milk vendors that have prices that were less than $3.12 per gallon is

Answer:
Part A ) Equation represents a Linear Function.
Part B )

Step-by-step explanation:
Temperature in degrees ( C ) and Fahrenheit ( F ) relation is given as

Part A:
Linear function:
Linear functions are those whose graph is a straight line.
A linear function has the following form. y = f(x) = a + bx.
A linear function has one independent variable and one dependent variable.
The independent variable is x and the dependent variable is y.
Now,
∴
is a linear function as C independent variable and capital F as dependent variable.
Part B:

represent a straight line having
slope = m
y - intercept = c
So, on comparing the given degrees and Fahrenheit relation equation
we will get
