Graph: f(x) = 3/2 (2)^x Calculate the initial value of the function.

3/2

Step-by-step explanation:

f(0) = 3/2 · 2^0

anything raised to the power of zero equals one

f(0) = 3/2 · 1

the first dot plot best represents the data

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x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)