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Otrada [13]
3 years ago
8

3) The elevator in a large office building is not working so you start climbing the stairs. The first flight

Mathematics
1 answer:
snow_lady [41]3 years ago
8 0

Answer:

Oct 20, 2019 — So how many flights does it takes for stair climbing to qualify as a workout? ... the Harvard Alumni Health study reported that climbing 10-19 flights a week (two ... But to be clear, we're not talking about the type of stair climbing you do ... of 20 seconds (about 60 steps) or a single/double flight of stairs that ca

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
The length of a rectangle is 7/6 its width, w. Which expression represents the perimeter of the rectangle?
Hitman42 [59]
If the length is 7/6 the width w then the perimeter is w + (7/6)w + w + (7/6w)
= 2((7/6)w + w) = 2w + (14/6)w = (26/6)w = (13/3)w.
So the answer is the last one.
3 0
3 years ago
Which inequality represents the situation? The cost of the ticket is no more than $50.
Minchanka [31]

Answer:

1. ≤ 50

2. ≥ 200

Step-by-step explanation:

7 0
3 years ago
Solve x2 + 6x + 7 = 0.
docker41 [41]

Answer:

x= -7/8

Step-by-step explanation:

8x + 7 = 0

8x + 7-7 = 0-7

8x=-7

8x/8x = -7/8

3 0
3 years ago
Read 2 more answers
3<br> What is the difference of<br> 21<br> ?<br> 4
PilotLPTM [1.2K]

Answer:

The difference is 4–3. If you want the difference between 3 and -4, then the difference is 7.

Step-by-step explanation:

6 0
3 years ago
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