The sequence below represents marisa's fine at the library for each day that she had an overdue book: $0.50, $0.65, $0.80, $0.95, $1.10,
which equation represents marisa's library fine as a function of a book that is n days overdue?

Tn = 0.35 + 0.15n

Step-by-step explanation:

From the sequence given, the fine for overdue book: $0.50, $0.65, $0.80, $0.95, $1.10, ...

the difference between the 2 consecutive terms

d = T2 - T1 = T3 - T2

= $0.65 - $0.50

= $0.15

Let a = first term = $0.50

      d = common difference between 2 consecutive terms

      n = number of term

T1 = a =  $0.50

T2 = a + d = $0.50 + $0.15

    = $0.65

T3 = a + d + d = a + 2d

= $0.50 + $0.15 + $0.15

    = $0.80

Going by the sequence above

Tn = a + (n-1)d

Tn = 0.5 + (n-1)0.15

Tn = 0.5 + 0.15n - 0.15

Tn = 0.35 + 0.15n

Marisa's library fine as a function of a book that is n days overdue is given as 0.35 + 0.15n

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

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step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)