The function is applicable within the segments of x:
(-∞, -1) and [-1, 7), meaning it is valid for x < 7.
Importantly,
the function cannot be evaluated at x = -1 in the left part of the linear graph, while it is valid at x = -1 in the right segment of the same line. Additionally, the function is not defined at x = 7 or any value above it.
Conclusion: x < 7.
n equals 277
9 multiplied by 27 plus 2 multiplied by 31 minus 28 gives n
243 plus 62 minus 28 results in n
305 minus 28 equals n
which means 277 is n
Answer:
a) The outlier is the point located at the bottom right of the graph
b) The plotted points resemble a line that has a positive gradient
c) By conducting correlation analysis, we can determine the strength of the correlation
Step-by-step explanation:
a) The problem presents a scenario where Igor, who has recently moved, is experienced but needs to retrain medically to practice in the UK
Thus, he corresponds to the outlier situated nearest to the graph's bottom right
b) According to the scatter graph, there's a direct relationship showing that as a doctor's age increases, their annual salary tends to climb as well
Referencing the graph:
Age Salary
22 £28000
26 £30000
34 £44000
38 £42000
42 £30000
42 £46000
50 £55000
The data points follow a line demonstrating the proportional increase of salary with age.
c) To reinforce this conclusion's reliability, correlation analysis should be conducted to ascertain the relationship between age and annual incomes.
Answer:



Step-by-step explanation:
Given



Solving for (a): n
To find n;
We will utilize

Substituting values for XY and XZ



Dividing by -6

Solving for (b) XY

Substituting 3 for n



Solving for (c): XZ


Answer : y>0
f(x) = 9*2^x
This function is exponential in form

Substituting positive numbers for x yields positive y values
Substituting negative numbers for x also results in positive y values
Therefore, y remains positive regardless of the value of x.
The range comprises all possible y outputs of the function
Since y is always positive, the range is y > 0