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3 years ago

15

You need to put your reindeer, Lancer, Gloopin, Rudy, and Bloopin, in a single-file line to pull your sleigh. However, Gloopin a

nd Rudy are best friends, so you have to put them next to each other, or they won't fly. How many ways can you arrange your reindeer?

1 answer:

Arte-miy333 [17]3 years ago

5 0

Answer:

12

Step-by-step explanation:

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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

3 years ago

In ΔRST, the measure of ∠T=90°, the measure of ∠R=67°, and TR = 94 feet. Find the length of RS to the nearest tenth of a foot.

Dimas [21]

Answer:

the length of RS to the nearest tenth of a foot is 240.6ft

3 0

3 years ago

A 6-pound bag of birdseeds cost $4.92. What is the unit price?

Sergeu [11.5K]

I think you would have to multiply $4.92 and 6... if so the answer would be $29.52 for the unit price.

7 0

3 years ago

Use what you've learned in this unit to model the population of Western

azamat

The population function of the Western Lowland Gorillas can either represent population growth or population decay

<h3>How to model the population</h3>

The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.

So, I will give a general explanation to solve the question

A population function can be represented as:

$y = a(1 \pm r)^x$

Where:

The initial population of the Western Lowland Gorillas is represented by (a)
The rate at which the population changes is represented by (r)
The number of years since 2022 is represented by (x)
The population in x years is represented by (y)

From the question, we understand that the population of the Western Lowland Gorillas decreases.

This means that the rate of the function would be an exponential decay i.e. 1 -r

Take for instance:

$y = 2000 * 0.98^x$

By comparison.

a = 2000 and 1 - r = 0.98

The above function can be used to model the population of the Western Lowland Gorillas

Read more about exponential functions at:

brainly.com/question/26829092

4 0

2 years ago

Evaluate.<br><br> 1+5⋅32<br><br> A. 8<br><br> b. 9<br><br> c. 16<br><br> d.18

Anna007 [38]

Answer:

the answer should be 161

6 0

3 years ago