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igor_vitrenko [27]
3 years ago
14

The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas. What is the

constant of proportionality (unit rate)?
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0

Given:

The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas.

To find:

The constant of proportionality

Solution:

We have,

P=0.25n       ...(i)

where P is the price and n is the number of bananas.

Price P is directly proportional to the number of bananas. So,

P\propto n

P=kn            ...(ii)

Where, k is the constant of proportionality.

On comparing (i) and (ii), we get

k=0.25

Therefore, the constant of proportionality is 0.25.

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When simplifying 4x^3-10x^2+6x/2x^3+x^2-3x, what are the term(s) that can be cancelled
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Answer:

x can be cancelled

Step-by-step explanation:

we are given

\frac{4x^3-10x^2+6x}{2x^3+x^2-3x}

Firstly, we will factor numerator and denominator

and then we can factor it

4x^3-10x^2+6x=2x(2x^2-5x+3)

4x^3-10x^2+6x=2x(2x+1)(x-3)

now, we can factor denominator

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2x^3+x^2-3x=x(x-1)(2x+3)

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both terms are having x common

so, x can be cancelled

So,

x can be cancelled

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3 years ago
CAN SOMEONE PLEASE HELP ME!!!! I NEED HELP BAD
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Step-by-step explanation:

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Which of the following sets of ordered pairs represents a function?
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{(-1,3),(-1,4),(-1,5),(-1,6)} is the set from the given question which is a set of ordered pairs representing a function.

<h3>What is ordered pair?</h3>

An ordered pair (a, b) in mathematics is a group of two things. The pair's order of objects matters because the ordered pair (a, b) differs from the ordered pair (b, a) unless a = b. (By contrast, an unordered pair of a and b equals an unordered pair of b and a.)

Ordered pairs are also known as 2-tuples, or sequences (or, in computer science, occasionally, lists) of length 2. Sometimes referred to as 2-dimensional vectors, ordered pairs of scalars. Technically speaking, this is a misuse of the term because an ordered pair need not be a component of a vector space. An ordered pair's entries may be other ordered pairs, allowing for the recursive definition of ordered n-tuples (ordered lists of n objects).

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1 year ago
Lasers can provide highly accurate measurements of small movements. To determine the accuracy of such a laser, it was used to ta
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