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3 years ago

What is the slope of the line that passes through the points (-9, 2) and (0.4)

Mathematics

1 answer:

max2010maxim [7]3 years ago

4 0

The slope of the line is -2/9

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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

2 years ago

What is the value of x

lora16 [44]

Answer:

Step-by-step explanation:

Lines have angles that are equal to 180. Therefore, because we already have 140 of the 180 necessary, we can subtract 140 from 180 to get 40. 40 divided by 5 is 8.

Hope that this helps!

5 0

2 years ago

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Alexandra is baby-sitting her little brother. To entertain him, she is building structures with his blocks. The picture below re

cricket20 [7]

Answer:

she adds two blocks each time

4 0

3 years ago

Find the missing measure. Round to the nearest whole number (9mm, xmm, 4mm) find x

fredd [130]

The answer is 10mm, I answered this in a previous question.

6 0

3 years ago

10/12 + 1/4 please help me

BartSMP [9]

Answer:

Here you go, hope this helps

Step-by-step explanation:

Exact form: 13/12

Decimal form: 1.083 repeating

Mixed Number form: 1 1/12

3 0

3 years ago

Read 2 more answers