81, 27, 9, find the common ratio of the given sequence, and write an exponential function which represents the sequence. use n = 1, 2, 3, a) 3; f(n) = 81^n-1 b) 3; f(n) = 81(3)^n-1 c) 1 /3 ; f(n) = 81(3)^n-1 d) 1/ 3 ; f(n) = 81(1 /3 )^n-1answer -since each term is multiplied by 1/3to get to the next term, the common ratio is 1/3. the common ratio is also the base of anexponential function. the correct answer is1/3; f(n) = 81(1/3)^n-1so d.

Mr. brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. he has drawn a sketch on a coordinate grid. he has the lower vertices of the sign at (9, –3) and (–6, –3). where would the upper vertices be on the grid?

Find the value of x in each case. give reasons to justify your solutions! d q ∈ pr

Write the equation of a line that is perpendicular to the given line and that passes through the given point. –3x – 6y = 17; (6, 3) y = x – 9 y = 2x – 9 y = –2x – 9 y = x + 0 3. is the relationship shown by the data linear? if so, model the data with an equation. x y 1 5 5 10 9 15 13 20 the relationship is linear; y – 5 = (x – 1). the relationship is not linear. the relationship is linear; y – 5 = (x – 1). the relationship is linear; y – 1 = (x – 5). write an equation in point-slope form for the line through the given point with the given slope. (–10, –1); m = y + 10 = (x + 1) y – 1 = (x – 10) y – 1 = (x + 10) y + 1 = (x + 10) 5. write an equation for each translation of . 6.5 units up y + 6.5 = | x | y = | 6.5 x | y = | x | + 6.5 y = | x | – 6.5 6. write an equation for each translation of . 5.5 units right y = | x | + 5.5 y = | x – 5.5 | y = | x | – 5.5 y = | x + 5.5 | 7. which equation translates y = | x | by 8 units to the left? y = | x | – 8 y = | x | + 8 y = | x – 8| y = | x + 8|