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3 years ago

Whats the answer to this problem

Mathematics

1 answer:

vlabodo [156]3 years ago

8 0

The answer would be to the right since after you factor the equation out the 9 is positive

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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)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

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

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

$F(5) - F(-2) = 10$

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

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

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

4 0

3 years ago

Recatangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2,1), B(3,1),C(3,4), and

Cloud [144]

Answer: 15

Step-by-step explanation:

When you plot the points, it makes a rectangle. The length is 5 units and the height is 3 units. 5 times 3 is 15

7 0

3 years ago

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Can Someone please help me with this I don't know it?!?! I have a test on Friday!!! Thank You!

aleksklad [387]

Answer: a = 3.5

Step-by-step explanation:

14=4a

divide both sides by 4

14/4 = 3.5

4a/4 =1a or a

so a= 3.5

3 0

3 years ago

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Tanzania [10]

Step-by-step explanation:

if any confusion..do inform......

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4 years ago

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dusya [7]

Answer:

quadrilateral

Step-by-step explanation:

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3 years ago