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Marina CMI [18]
2 years ago
10

Han is multiplying 10x^4 by 0.5x^3 and gets 5x^7 he says that 0.5x^3 is not a polynomial because 0.5 is not an integer.what is t

he error in his thinking ?explain your reasoning
Mathematics
1 answer:
Ivenika [448]2 years ago
8 0

Answer:

Answer in Explanation

Step-by-step explanation:

His reasoning is wrong. We can evaluate the validity of his reasoning by looking at the basics of what a polynomial is.

In the real sense of it, what makes a polynomial a polynomial is the power to which the variable is raised and not the integer attached to the variable.

In this case, we do not even have an integer attached.

What makes a polynomial a polynomial is that the variable is raised to an exponent or power which is a positive whole number ( integer)

In this case, while x^2 is a polynomial, x^-2 is not and also x^1/2 is not

Only x^2 is qualified as a polynomial because it is the only expression having its powers in positive integers

Hence; 0.5x^2 is a polynomial since it is raised to a positive whole number (integer)

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9 0
2 years ago
Read 2 more answers
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An electrician earns 100 dollars for a project installing light fixtures. She must pay for the light fixtures herself and they c
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Answer:

y = 100 - 2.5 x is the equation that represents her total profit from

the project

Step-by-step explanation:

The given is:

1. An electrician earns 100 dollars for a project installing light fixtures

2. She must pay for the light fixtures herself and they cost 2 dollars

   and 50 cents each

3. x represent the number of light fixtures and y represent her

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Her profit is the amount of money she has left over after paying for

the light fixtures

∵ The cost of each light fixtures is 2 dollars and 50 cents

- Let us change the cents to dollar

∵ $1 = 100 cents

∴ 50 cents =  dollar

∴ 2 dollars and 50 cents = $2.5

∵ Her profit = The money she earns - The money she pays

∴ The cost of each light fixtures = $2.5

∵ She installs x light fixtures

∴ She pays 2.5 x dollar

∵ She earns $ 100 for installing x light fixtures

∵ Her profit is $y

∴ y = 100 - 2.5 x

y = 100 - 2.5 x is the equation that represents her total profit from

the project

Step-by-step explanation:

4 0
2 years ago
Un tren pasa delante de un poste en 10 s y cruza un puente en 15 s. ¿En cuánto tiempo el tren cruzaría el puente si este tuviera
emmainna [20.7K]

Answer:

45 segundos.

Step-by-step explanation:

Un tren pasa por delante de un puente en 15 segundos; si el puente tuviera el doble de longitud, le tomaría el doble de tiempo en cruzarlo, si tuviera el triple de longitud, le tomaría el triple de tiempo y así sucesivamente.

En este caso, la pregunta es ¿En cuánto tiempo cruzaría el puente si tuviera el triple de su longitud? Por lo tanto, si cruza el puente en 15 segundos, teniendo el triple de longitud le tomaría 3 (15) = 45 segundos en cruzarlo.

6 0
2 years ago
A marble is selected at random from a jar containing 3 red​ marbles, 4 yellow​ marbles, and 6 green marbles. What is the probabi
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Answer:  a) \dfrac{3}{13},\ b)\dfrac{9}{13}\ c)\dfrac{9}{13},\ d)\dfrac{4}{13}

Step-by-step explanation:

Since we have given that

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Number of yellow marbles = 4

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Total number of marbles = 3 +4 +6 = 13

​a) the marble is​ red? ​

Probability of getting a red marble = \dfrac{3}{13}

b) the marble is not​ yellow?

Probability of not getting yellow = \dfrac{3+6}{13}=\dfrac{9}{13}

​c) the marble is either red or ​green?

Probability of getting either red or green = P(red) + P(green) =\dfrac{3}{13}+\dfrac{6}{13}=\dfrac{9}{13}

d) the marble is neither red nor ​green?

Probability of getting neither red nor green = P(getting yellow) = \dfrac{4}{13}

Hence, a) \dfrac{3}{13},\ b)\dfrac{9}{13}\ c)\dfrac{9}{13},\ d)\dfrac{4}{13}

5 0
2 years ago
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