The point p(7, 1) lies on the curve y = x − 6 . (a) if q is the point (x, x − 6 ), use your calculator to find the slope of the secant line pq (correct to six decimal places) for the following values of x. (i) 6.5 (ii) 6.9 (iii) 6.99 (iv) 6.999 (v) 7.5 (vi) 7.1 (vii) 7.01 (viii) 7.001 (b) using the results of part (a), guess the value of the slope of the tangent line to the curve at p(7, 1). (c) using the slope from part (b), find an equation of the tangent line to the curve at p(7, 1). y =

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Find the value of x. give reasons to justify your solutions! l, m ∈ kn

George is putting trim around his rectangular deck, including the gate. he will need 44 feet of trim to do the entire deck. if the deck is 13 feet long, how wide is the deck?