Number your responses to the questions as they are shown (1 and 2).
tanya is given the graphs of the following functions. the functions f(x)f(x) and g(x)g(x) are linear, and the function s(x)s(x) is quadratic.
f(x)=3x−8g
(x)=−2x+5
s(x)=4x^2−9x+2f(x)
tanya is then asked to find the graph of (f⋅g)(x)(f⋅g)(x) and the graph of (g⋅s)(⋅s)(x). for each combined function, she is given four options to choose from.
1. what clues will tanya identify the correct graph of (f⋅g)(x)? (f⋅g)(x)?
2. what clues will tanya identify the correct graph of (g⋅s)(x)? (g⋅s)(x)?

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to