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3 years ago

Given the function g(x) = x2 + 5x + 1, determine the average rate of change of

Mathematics

1 answer:

Elden [556K]3 years ago

6 0

Answer:

-6

Step-by-step explanation:

The average rate of change of a function, f(x), on interval [a,b] is (f(b)-f(a))/(b-a).

So the avereage rate of change of a function, f(x)=x^2+5x+1, on [-9,-2] is

(f(-2)-f(-9))/(-2--9)

(f(-2)-f(-9))/(7)

Stop!

To find f(-2), you replace x in f(x) = x^2 + 5x + 1, with (-2) giving you f(-2)=(-2)^2+5(-2)+1=4-10+1=-6+1=-5.

To find f(-9), you replace x in f(x) = x^2 + 5x + 1, with (-9) giving you f(-2)=(-9)^2+5(-9)+1=81-45+1=36+1=37.

Continue!

(f(-2)-f(-9))/(7)

=(-5-37)/7

=(-42)/7

=-42/7

=-6

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Answer:

Step-by-step explanation:

(look at the picture)

We have opposite and adjacent. Therefore we must use the tangent:

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Which fraction is nearest in value

Lubov Fominskaja [6]

Answer:

7/22

Step-by-step explanation:

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Describe the relationship between the two quantities. volume of a cylinder; height

Temka [501]

The volume of a given cylinder is directly proportional to its height.

When determining the volume of a cylinder, we take;

= Base Area(BA) of the cylinder * Height of the cylinder

This automatically proves that when the BA and Height of a particular cylinder is high, the results of its volume is also high.

From the above statement, it is very correct to state that the Height of a cylinder is directly proportional to the volume of a cylinder.

It is also correct to state that the BA of a cylinder is directly proportional to the volume.

Consider the image of the cylinder attached.

Assuming we were to calculate the volume of water from different heights of the cylinder, for example;

Height1= 15 cm

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Hence the bigger height will result to bigger volume.

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1 year ago

If a = 4, Evaluate 35 - 3a

Aloiza [94]

Answer:

Step-by-step explanation:

3 times 4 equals 12

then do

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Calculate the expected value E(X) of the given random variable X. X is the higher number when two dice are rolled, or the common

Sati [7]

Answer:

4.4722

Step-by-step explanation:

The following table shows the 36 elements of the sample space of the experiment

$\left[\begin{array}{cccccccc}&1&2&3&4&5&6\\--&--&--&--&--&--&--\\1\;|&1&2&3&4&5&6\\2\;|&2&2&3&4&5&6\\3\;|&3&3&3&4&5&6\\4\;|&4&4&4&4&5&6\\5\;|&5&5&5&5&5&6\\6\;|&6&6&6&6&6&6\end{array}\right]$

From this table we can compute the probabilities :

P(X = 1) = 1/36

P(X = 2) = 3/36

P(X = 3) = 5/36

P(X = 4) = 7/36

P(X = 5) = 9/36

P(X = 6) = 11/36

So the expected value equals

1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)+5P(X=5)+6P(X=6) =

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4.4722

7 0

3 years ago