Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
a. (–3, –0.90)
b. (–2.5, –0.75)
c. (4.5, 1.35)
d. (8, 2.40)

The correct option is D.

Step-by-step explanation:

Lets have an explanation at each option.

Option A and Option are not valid.

The reason is that the value of number of days can not be negative and in option A and B, value of days -3 and -2.5 is negative.

Option C is also invalid because the library charges fee for the full day.  Library would not charge for 4.5 days, so the number for days would be a whole number.

Therefore the option which satisfies our condition is option D.

Let's solve:

(8, 2.40)

In this solution the value of x is 8

and the value of y is 2.40

Then,

y= 0.30*x

2.40 = 0.30* 8

2.40 = 2.40

Option D is correct

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

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.