Haruka and Mustafa were asked to find an explicit formula for the sequence 4\,,\,12\,,\,36\,,\,108,...4,12,36, 108,...4, comma, 12, comma, 36, comma, 108, comma, point, point, point. Haruka said the formula is g(n)=4\cdot3^{\large{n}}g(n)=4⋅3 n g, left parenthesis, n, right parenthesis, equals, 4, dot, 3, start superscript, n, end superscript, and Mustafa said the formula is g(n)=4\cdot4^{\large{n-1}}g(n)=4⋅4 n−1 g, left parenthesis, n, right parenthesis, equals, 4, dot, 4, start superscript, n, minus, 1, end superscript.

maybe showing the graph would

step-by-step explanation:

-387129 iq

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

x= cost per bracelet

number of bracelets * x + shipping charge = total cost

so

9x+9=72

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.