In 2000, 55 % of the residents in a large city regularly used newspapers for getting news and this has decreased at an average rate of approximately 1.7 % per year since then. find a linear function in slope-intercept form that models this description. the function should model the percentage of residents, upper p (x )comma who regularly used the news outlet x years after 2000.

P(x) = - 1.7x + 55

Step-by-step explanation:

x denotes the years that have passed since 2000. So for year 2000, x =  0

Therefore we have that when x₁ = 0, y₁ = 55. From the information given by the problem we know that the slope m is -1.7.

So by substituting these values in the formula y-y₁ = m( x - x₁) we get:

y - 55 = -1.7 (x - 0)

y - 55 = -1.7x

y = - 1.7x + 55

Thus our function P(x) that models the percentage of residents who regularly used the news outlet x years after 2000 is

P(x) = -1.7x + 55

  5.   y=6; de=7; fg=8

  6.   x=4.2; jl=14.2; mn=13

step-by-step explanation:

when chords cross inside a circle, the product of the segment lengths is a constant.

5. dh×eh = fh×gh

  y = gh = dh×eh/fh = 3×4/2 . . . divide by the coefficient of gh

  y = 6

of course, the total chord length is the sum of the lengths of its segments.

  de = dh +eh = 3+4 = 7

  fg = fh +gh = 2+6 = 8

6. this problem works the same way as the previous one.

  x = lk = mk×nk/jk = 6×7/10 = 4.2

  jl = jk +lk = 10 +4.2 = 14.2

  mn = mk +nk = 6 +7 = 13

comment on chords and secants

you can think of the points h (problem 5) and k (problem 6) as points where the chords meet. a chord is part of a secant line, a line that intersects the circle in two points. one can also consider these points (h or k) to be the points where the respective secant lines meet.

then, the product that is a constant is the product of the distance from the meeting point (h or k) to one circle intersection with the distance from that meeting point to the other circle intersection. for problem 5, the constant is the product hd×he = hf×hg.

it turns out that this rule regarding the products of lengths to points of intersection is also true when the secants intersect outside the circle.

that is, you only need to remember one rule to work both kinds of problems.

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.