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Sergeeva-Olga [200]
2 years ago
14

Which of the following does the graph below represent?

Mathematics
1 answer:
mafiozo [28]2 years ago
8 0

Answer:

Step-by-step explanation:

You cannot tell from the wiggly line! If that is supposed to be a straight line, you have equivalent ratios from point to point.

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According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x^5
nata0808 [166]

Answer:

The correct option is A.

Step-by-step explanation:

The question is:

According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 – 2x4 + 9x3 – x2 + 12?

A).f(x) = 3x5 – 2x4 – 9x3 + x2 – 12

B).f(x) = 3x6 – 2x5 + 9x4 – x3 + 12x

C).f(x) = 12x5 – 2x4 + 9x3 – x2 + 3

D).f(x) = 12x5 – 8x4 + 36x3 – 4x2 + 48

Solution:

The function given to us is:

3x5 – 2x4 + 9x3 – x2 + 12

Find the factors of 12 and consider it as 'p'

The factors of 12 are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q'

The factors of 3 are:

q = +/- 1 , +/- 3

We know that we write rational terms in p/q form.

Therefore the Rational roots are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Now we will solve the first function given in part A.

f(x) = 3x^5 – 2x^4 - 9x^3 + x^2 - 12

Again find the factors of 12 and consider it as 'p'

The factors are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q' .

q = +/- 1 , +/- 3

Rational root are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Therefore the rational roots of the given function matches the rational roots of the given equation.

Hence the correct option is A

6 0
2 years ago
What is the greatest common factor (GCF) of the numerator and denominator in the rational expression below? 6x-18/x^2-5x+6
brilliants [131]

Numerator 6x - 18 = 6(x - 3)

Denominator x^2 - 5x + 6 = (x - 3)( x - 2)

8 0
2 years ago
Read 2 more answers
Match the following equation to the correct situation.
IRISSAK [1]

Answer:

option D is right

...............

3 0
3 years ago
Which triangle correctly shows that the side opposite the larger angle is the larger side?
Shalnov [3]

Answer:

The answer is C

I turned it in and it was correct

Step-by-step explanation:

Please mark brainliest

8 0
3 years ago
Read 2 more answers
An equivalent expression for 12x+1 and 2(2x+5) please help​
zhannawk [14.2K]
<h2>Answer:</h2>

8x+9

<h2>Step-by-step explanation:</h2>

12x+1 = 2(2x+5)

<h3><em><u>Handle the brackets first</u></em></h3>

12x+1 = 4x+10

<h3><em><u>Collect like terms</u></em></h3>

=8x+9

3 0
3 years ago
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