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soccergirl88821
18.12.2019 •
Mathematics
The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is the number of photos printed, and f(x) is the amount of profit. part a: determine the vertex. what does this calculation mean in the context of the problem? (5 points) part b: determine the x-intercepts. what do these values mean in the context of the problem? (5 points
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Ответ:
a = -1
b = 20
c = -75
The formula in determining the vertex (h, k) is h = -b / 2a
Solving for h, we have it:
h = - 20/ 2*(-1)
h = -20 /-2
h = 10
Solving for k, we have it:
f(h) = -1*10² + 20*10 - 75
f(h) = -100 + 200 - 75
f(h) = 25
Therefore, the vertex is (10,25)
since value for a is negative, the vertex is the maximum point such as when you have 10 photos, you will get $25 profit
For letter B, solving for x-intercepts, we have it:
0 = -1x² + 20x - 75 , divide both sides by -1
0 = x² - 20x + 75
0 = (x-15) (x-5)
x1 = 15
x2=5
If these values are the number of photos, there will be no profit. Break even.
Ответ:
a
Step-by-step explanation:
FOIL
f-first
o-outer
i-inner
l-last