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AveGali [126]
3 years ago
10

1.) What is the average rate of change between x=2 and x=5?

Mathematics
2 answers:
Nimfa-mama [501]3 years ago
4 0

Answer:

Rate of change = 150%

Rate of change = 100%

Rate of change = 100%

Step-by-step explanation:

Find:

Rate of change

x=2 and x=5

x=3 and x=6

x=2 and x=4

Rate of change = [(5-2)/2]100

Rate of change = 150%

Rate of change = [(6-3)/3]100

Rate of change = 100%

Rate of change = [(4-2)/2]100

Rate of change = 100%

Natali [406]3 years ago
3 0

Answer:

2 4 8         next : increases

Step-by-step explanation:

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siniylev [52]
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
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The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or  y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
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