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STALIN [3.7K]
3 years ago
14

Write an algebraic equation for the following sentence explaining each step of your reasoning:

Mathematics
1 answer:
inysia [295]3 years ago
6 0
2n-12=9+n you rearrange the variables to what the equation says
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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
SSC's Tuatara is the fastest car in the world with 331 miles per hour
Kipish [7]

Answer:

5.517miles/min

Step-by-step explanation:

331/1h

=331/(1*60) because 1h=60min

7 0
3 years ago
A + 3 + 2a = -1 + 3a + 4
Verdich [7]

Answer:The answer is Equal.

Step-by-step explanation:First you need to add A and 2A together. that equals 3a. Since 3 is left , it could be -1 and 4 because it would equal the same thing hope this helped :)

8 0
3 years ago
PLEASE HELP ME 3 friends are camping in the woods, Bert, Ernie and Elmo. They each have their own
fredd [130]

The answer is B

Reason:

Ernie ?

Bert 30°

Elmo 105°

Ernie was 5.2m Rounded = 5

6 0
2 years ago
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2 2/7 multiplied by 5 1/6
labwork [276]

Answer:

11 17/21

Step-by-step explanation:

8 0
3 years ago
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