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Vinvika [58]
3 years ago
9

Complete the square.

Mathematics
1 answer:
Charra [1.4K]3 years ago
8 0

Answer:

+ 100

Step-by-step explanation:

Given

m² - 20m

To complete the square

add ( half the coefficient of the m- term )² to m² - 20m

m² + 2(- 10)m + (- 10)²

= m² - 20m + 100 = (m - 10)² ← perfect square

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha
Xelga [282]

Answer:

The average value of f over the interval [-2,5] is \frac{10}{7}.

Step-by-step explanation:

Let suppose that function f is continuous and integrable in the given intervals, by integral definition of average we have that:

\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6 (1)

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We obtain the average value of f over the interval [-2, 5] by algebraic handling:

F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)

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\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}

\bar f = \frac{10}{7}

The average value of f over the interval [-2,5] is \frac{10}{7}.

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5 0
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3 years ago
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monitta
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3 years ago
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