What is the vertex of the function f(x) = x2 + 12x?
2 answers:
Answer:
6, - 36 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = -
f(x) = x² + 12x ← is in standard form
with a = 1, b = 12, c = 0 , then
x = - = - 6
Substitute x = 6 into f(x) for corresponding value of y
f(6) = 6² + 12(- 6) = 36 - 72 = - 36
vertex = (6, - 36 )
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We have the following equation:
f = -1.2n + 38.1
We note that the slope of the line is:
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Therefore, the time decreases 1.2 minutes when the number of races increases n.
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SEE ATTACHED IMAGE, PLEASE.
The first thing we must do for this case is to define variables.
n = number of 5k races covered
f = end time.
We have the following equation:
f = -1.2n + 38.1
We note that the slope of the line is:
m = -1.2 minutes per race
Therefore, the time decreases 1.2 minutes when the number of races increases n.
Answer:
The model predicts that for each additional race to runner has run, the finishing time decreases by about 1.2 minutes