According to the Rational Root Theorem, which statement about f(x)=8x3−4x2+6x+3 is true?

Group of answer choices

Any rational root of f(x) is a multiple of 8 divided by a multiple of 3.

Any rational root of f(x) is a factor of 8 divided by a factor of 3.

Any rational root of f(x) is a multiple of 3 divided by a multiple of 8.

Any rational root of f(x) is a factor of 3 divided by a factor of 8.

Answers

Answer 1

The rational root theorem is used to determine the possible roots of a function.

The true statement is: (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.

The function is given as:

[tex]\mathbf{f(x) = 8x^3 - 4x^2 + 6x + 3}[/tex]

The possible roots of a function

[tex]\mathbf{f(x) = qx^n + ax^{n-1} +.....+ p}[/tex]

are

[tex]\mathbf{Roots = \pm\frac{Factors\ of\ p}{Factors\ of\ q}}[/tex]

By comparison: p = 3 and q = 8

So, we have:

[tex]\mathbf{Roots = \pm\frac{Factors\ of\ 3}{Factors\ of\ 8}}[/tex]

Hence, the true option is (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.

Read more about rational root theorem at:

https://brainly.com/question/9353378


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O 15
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the answer is 15!!!

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Step-by-step explanation: 20% → .20

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Answer:

Step-by-step explanation:

If theses are the edges of a prism then

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Step-by-step explanation:

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9514 1404 393

Answer:

  f^-1(x) = (x +6)/2

Step-by-step explanation:

The inverse function is found by solving ...

  x = f(y)

Here that is the solution to ...

  x = 2y -6

  x +6 = 2y . . . . . add 6

  (x +6)/2 = y . . . divide by the coefficient of y

The inverse function is ...

  f^-1(x) = (x +6)/2

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Step-by-step explanation:

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Answers

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Answers

Answer:

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9514 1404 393

Answer:

  5th: 32

  6th: 64

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Step-by-step explanation:

Sequence problems are always tricky. Any finite list of numbers can always be represented by a polynomial, and can include any arbitrary next number. Generally, you are asked to find a simple rule that can explain the sequence shown and can be used to predict the continuation of the sequence.

It is often useful to look at the differences between values and/or their ratios. The sequence of block counts is ...

  2, 4, 8, 16

1st differences are 4 -2 = 2, 4, 8 . . . . . the differences match the sequence

ratios are 4/2 = 2, 8/4 = 2, 16/8 = 2 . . . . . . the ratio is common: 2

We observe that each number of blocks is double the one before, and that the number of blocks is a power of 2 equal to the step number.

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_____

Additional comment

It also looks like the shape alternates between a rectangle and a square. The 5th step will probably be a rectangle, and the 6th step will be a square.

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Answers

9514 1404 393

Answer:

  (a) f(g(x)) = g(f(x)) = x; functions are inverses

  (b) f(g(x)) = g(f(x)) = x +4; functions are not inverses

Step-by-step explanation:

(a)

f(g(x)) = f(1/(6x)) = 1/(6(1/(6x))) = 1/(6/(6x)) = 1/(1/x)

f(g(x)) = x

__

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x

f and g are inverses of each other

__

(b)

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f(g(x)) = x +4

__

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x+4

__

f and g are not inverses of each other

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Answer:

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Step-by-step explanation:

Mark me as branliest maybe??

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Answer:

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Quotient ×Remainder+dividend=Divisor​

Answers

Answer:

Divisor × Quotient + Remainder = Dividend

Step-by-step explanation:

Hope it is helpful.....

Answer:

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Answers

200 times / 3 minutes = x times / 60 minutes

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Hope this helps!! :)

Answer:  4000 beats per hour

Step-by-step explanation:

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The term 'minutes' cancel out therefore you are left with beats per hour

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Answers

Answer:

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Step-by-step explanation:

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Hope this helps! Brainliest would be appreciated!

Answer:

[tex]p=\frac{c - 215}{5}[/tex]

Step-by-step explanation:

Hello!

Solve for p[tex]c = 5p + 215[/tex]

Subtract 215 from both sides

[tex]c - 215= 5p[/tex]

Divide both sides by 5

[tex]\frac{c - 215}{5} = p[/tex]

The solution for p is [tex]p=\frac{c - 215}{5}[/tex]


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Answers

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Step-by-step explanation:

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Cho các tập hợp
A =( x∈R|x²-5x+4≤0)
B= (x∈R|x-1|≤1)
C=(x∈R|x²-7x+6≤0)
xác định: (A∪B)∩C
(A∩B)∪C

Answers

ANSWER:

B.

CAN YOU BRAINLEST ME THANK YOU

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

By definition,

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Let the Length of EF be x

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So,

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Answers

Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

100+18.5=118.5

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c = ?

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

steps below

Step-by-step explanation:

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...........

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