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Kisachek [45]
4 years ago
9

Which set of coordinates represents a function?

Mathematics
1 answer:
SIZIF [17.4K]4 years ago
3 0

Answer:

Assuming that the domain is \lbrace0,\, 1,\, 2,\, 3\rbrace (the set of whole numbers between 0 and 3, inclusive,) then only the third choice would represent a function:

\lbrace{(2,\, 15),\, (3,\, -3),\, (1,\, 3),\, (0,\, 0)\rbrace}.

Step-by-step explanation:

A function needs to be

  • one-to-one for all inputs in its domain, and
  • defined for all values on its domain.

A map is one-to-one only if it maps each input to only one output.

For example, in (0,\, 5) in the first choice, 0 is the input while 5 is the output. If this set of coordinates is indeed one-to-one, then this input,

Similarly, the second set of coordinates tries to map the input 1 to both 10 and 2. This option isn't one-to-one and does not represent a function, either.

Indeed, the third, fourth, and fifth options are all one-to-one. However, there are gaps in the domain of the fourth and fifth option. (The domain of a map is the set of all the points in its definition.)

  • The domain of the third option is \lbrace0,\, 1,\, 2,\, 3\rbrace.
  • The domain of the fourth option is \lbrace-1,\, 1,\, 3,\, 5\rbrace.
  • The domain of the fifth option is \lbrace-2,\, 1,\, 4,\, 5\rbrace.

Note, that whether these options are functions depend on the choice of the domain. For example, if the domain is merely \lbrace1\rbrace, then all three options would be functions. However, if the domain is the set of all integers (\mathbb{Z}= \lbrace\dots,\, -2,\, -1,\, 0,\, 1,\, 2,\, \dots\rbrace,) then none of these choices will be a function.

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inysia [295]

Answer:

9 tshirts

Step-by-step explanation:

Money he had for t shirts= $75

Cost of shipping= $3

Money left for t shirts= $75-$3=$72

Cost of 1 t shirt= $8

We can find the answer with two ways:

1st way: tshirts of $8=1

tshirts of $72=72/8

=$9

2nd way: Cost ($) 8 72

T shirts 1 x

8/1=72/x

by cross multiply

x=72/8

x=9

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a shipping company charged $15 to ship a package and 5% to ensure the package what was total cost to ship this
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Answer:

15.75

Step-by-step explanation:

So we know 5% is 1/20 out of 100 (20x5=100) so then we need to set up the equation to find how much 5% of 15 is. Which is .75 cents. So we then add the 75 cents to the already $15 shipping fee to get an answer of 15 dollars and seventy five cents.

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In a group of 120 recruits at the police academy 80 are college graduates and 25 are army veterans. If 15 of the recruits are bo
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Answer:

the number of recruits neither be college graduate and nor army veterans is 30

Step-by-step explanation:

The computation of the number of recruits neither be college graduate and nor army veterans is as follows;

= Total recruits - (college students + army veterans - both college graduates & army veterans)

= 120 recruits - (80 + 25 - 15)

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Answer please GIVING BRAINLIEST
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Answer:

see below

Step-by-step explanation:

defining variables:

since you are trying to find t shirt cost and jeans cost, your variables would be

the cost of the t shirt and the cost of jeans, denoted by any variable you want.

I'll use x and y since they are the most common variables (x = shirt y = jeans)

Equation

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3 years ago
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