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2 years ago

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Mathematics

1 answer:

nirvana33 [79]2 years ago

4 0

Answer:

Meh too much thx for point

Step-by-step explanation:

Meh too much thx for point

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Divide (x^3-20x+16)/(x-4)

Lorico [155]

$\frac{( x^{3}-20x+16) }{(x-4)}$

Use the rational root theorem:
$a_{o}$ =16, $a_{n}$ =1

The dividers of $a_{o}$ : 1,2,4,8,16
The dividers of $a_{n}$ : 1

Therefore, check the following rational numbers: +- $\frac{1,2,4,8,16}{1}$

$\frac{4}{1}$ is a root of the expression, so factor out x-4

Compute $\frac{ x^{3}-20x+16 }{x-4}$ to get the rest of the equation.

$\frac{(x-4)( x^{2} +4x-4)}{x-4}$

Cancel the common factor:
$x^{2}+4x-4$ is the final answer

8 0

3 years ago

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(8Q) Tell whether the function exhibits damped oscillation. If it does, identify the damping factor and tell whether the damping

dezoksy [38]

Answer:

Option c.

No damping

Step-by-step explanation:

We can easily solve this question by using a graphing calculator or any plotting tool.

The function is

f(x) = (√11)*cos(3.7x)

Which can be seen in the picture below

We can notice that f(x) is a cosine with maximum amplitude of (√11). Neither this factor nor the multiplication of x by 3.7 serve as a damping factor since they are constants.

f(x) does not present any dampening

5 0

3 years ago

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What is the range of possible sizes for side x? _ < x < _

qwelly [4]

Answer:

2.8 < x < 5.8

Step-by-step explanation:

We must apply the Triangle Inequality Theorem which states that for any triangle with sides a, b, and c:

a + b > c

b + c > a

c + a > b

Here, let's arbitrarily denote a as 4.1, b as 1.3, and c as x. So, let's plug these values into the 3 inequalities listed above:

a + b > c ⇒ 4.1 + 1.3 > x ⇒ 5.8 > x

b + c > a ⇒ 1.3 + x > 4.1 ⇒ x > 2.8

c + a > b ⇒ x + 4.1 > 1.3 ⇒ x > -2.8

Look at the last two: clearly if x is greater than 2.8 (from the second one), then it will definitely be greater than -2.8 (from the third), so we can just disregard the last inequality.

Thus, the range of possible sizes for x are:

2.8 < x < 5.8

~ an aesthetics lover

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3 years ago

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Find the average value of the function on the given interval. f(x)=ex/7; [0,7]

Anastaziya [24]

Answer:

$f_{avg}=e-1$