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seropon [69]
3 years ago
7

What relations are functions

Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0

The requirement is that every element in the domain must be connected to one - and one only - element in the codomain.


A classic visualization consists of two sets, filled with dots. Each dot in the domain must be the start of an arrow, pointing to a dot in the codomain.


So, the two things can't can't happen is that you don't have any arrow starting from a point in the domain, i.e. the function is not defined for that element, or that multiple arrows start from the same points.


But as long as an arrow start from each element in the domain, you have a function. It may happen that two different arrow point to the same element in the codomain - that's ok, the relation is still a function, but it's not injective; or it can happen that some points in the codomain aren't pointed by any arrow - you still have a function, except it's not surjective.

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nexus9112 [7]

The average rate of change between 1991 and 1996 is 40 million

<h3>How to determine the average rate of change between 1991 and 1996?</h3>

The given parameters are:

Population in 1991 = 1.5 billion

Population in 1996 = 1.7 billion

The average rate of change between 1991 and 1996 is calculated as:

Rate = (1.7 billion -1.5 billion)/(1996 - 1991)

Evaluate

Rate = 40 million

Hence, the average rate of change between 1991 and 1996 is 40 million

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2 years ago
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Huh

Step-by-step explanation:

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A car starts with a dull tank of gas. After driving around 5he city, 1/7 of the gas has been used. With the rest of the gas in t
Sati [7]

Answer:

\frac{2}{7}

Step-by-step explanation:

Given:

A car starts with a dull tank of gas

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Question asked:

What fractions of a tank of gas does each complete trip to Ottawa use?

Solution:

Fuel used around the city = \frac{1}{7}

Remaining fuel after driving around the city = 1 - \frac{1}{7}

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According to question:

As from the rest of the gas in the car that is \frac{6}{7}, the car can complete 3 trip to Ottawa  which means,

By unitary method:

The car can complete 3 trip by using = \frac{6}{7} tank of gas.

The car can complete 1 trip by using =  \frac{6}{7} \div 3

                                                             =\frac{6}{7} \times\frac{1}{3}

                                                             =  \frac{6}{21}

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Thus, \frac{2}{7} tank of gas used for each complete trip to Ottawa.

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3 years ago
What is 3x+4= -15? How would you get a negative number?
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Answer:

x=-\frac{19}{3}

Step-by-step explanation:

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