Use words to describe the relationship between corresponding number of hours and weeks

There are "40 hours per week."     [unit rate means "how many of these for one of those"]

Notice how units cancel when we use the Multiplicative Identity (that is 1 -- multiply any value by 1 and it does not change):

    1  =   (40 hours)/(1 week) = (1 week)/(40 hours)        [choose the value needed to cancel units]

  120 hours

  (120 hours) * 1

  (120 hours) * (1 week)/(40 hours)

  (120/40) weeks                      [hours cancel, leaving only weeks[

     3 weeks

    5 weeks

   (5 weeks) * 1

   (5 weeks ) * (40 hours)/(1 week)

    (5*40) hours                    [note that weeks cancel]

     200 hours

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

fahrenheit

step-by-step explanation:

fahrenheit is more precise than celsius. the ambient temperature on most of the inhabited world ranges from -20 degrees fahrenheit to 110 degrees fahrenheit—a 130-degree range. on the celsius scale, that range is from -28.8 degrees to 43.3 degrees—a 72.1-degree range. this means that you can get a more exact measurement of the air temperature using fahrenheit because it uses almost twice the scale.