Answer:
y = 2 for x < 0
x for 0 ≤ x < 3
3 for x ≥ 3
Step-by-step explanation:
From the graph attached,
Equation of line (1),
y = 2
Where x < 0
Let the equation of line (2) is,
y = mx + b
y-intercept 'b' = 0 [line (2) passes through origin]
Slope of the line 'm' = 
= 
= 1
Therefore, equation of line (2) will be,
y = x
where 0 ≤ x < 3
Equation of line (3) will be,
y = 3
Where x ≥ 3
Therefore, piecewise linear function will be,
y = 2 for x < 0
x for 0 ≤ x < 3
3 for x ≥ 3
Answer:
Systematic sampling
Step-by-step explanation:
Systematic sampling is a form of random sampling that involves sampling based on numbering the members of the population and selecting the sample at a given specified interval.
However, when the systematic sampling technique is used, it is necessary to ensure that the numbering of the population does not result in an ordering of the population such that the selected sample will consist more of a particular group of the population.
Answer:
First one
Step-by-step explanation:
y = -3x + 5
Make x the subject
3x = 5 - y
x = (5 - y)/3
Interswitch variables
(f^-1)(x) = (5 - x)/3
= 5/3 - x/3
Answer:
2/3
Step-by-step explanation:
The value of b is one. You just have to use the standard equation y = a + bx^2 + c. Get a, b, then c and from the given equation above you can derive a formula which is x is equal to the - b over 2 multiplied by a. if you get the value of x then substitute it to the equation and you will now get the value of b.
