The graphs of functions f(x) and g(x) = f(x) + k are shown: Graph of line f of x going through ordered pairs 0, 1 and 2, 6. Graph of line g of x going through ordered pairs 0, negative 1 and 2, 4.

What is the value of k?

k = 2
k = −2
k = 1
k = −1

Describe in detail how you would construct a 95% confidence interval for a set of 30 data points whose mean is 20 and population standard deviation is 3. be sure to show that you know the formula and how to plug into it. also, clearly state the margin of error.

What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83

Rationalize the denominator- 12x/√x-10