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1 year ago

Which of the following sets of ordered pairs represents a function?

1 answer:

3 0

{(-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).

Learn more about ordered pairs

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If f(x)=x^2+3x+4 which of the number choices represents (f(x+h)-f(x))/h?

Helen [10]

In case you're not already aware, the expression $\frac{f(x+h)-f(x)}h$ is called the "difference quotient" and represents the average rate of change of a function $f$ over an interval $[x,x+h]$ .

For the function $f(x)=x^2+3x+4$ , by substituting $x+h$ we get

$f(x+h)=(x+h)^2+3(x+h)+4=(x^2+2xh+h^2)+(3x+3h)+4=x^2+3x+4+(2x+3)h+h^2$

Then the difference quotient is

$\dfrac{f(x+h)-f(x)}h=\dfrac{(x^2+3x+4+(2x+3)h+h^2)-(x^2+3x+4)}h$

$=\dfrac{(2x+3)h+h^2}h=2x+3+h$

where the last equality holds as long as $h\neq0$ .

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3 years ago

Das has 3/4 of bottle of water.He drinks 3/8 of the bottle.How much of the bottle dose he have left?

sesenic [268]

Answer:

3/8

Step-by-step explanation

Convert 3/4 to 6/8 to make it easier subract since this problem asks how much he has left.

So 6/8-3/8=3/8

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3 years ago

Pasta comes with tomato sauce and can be ordered with some, all, or none of these ingredients in the sauce: {onions, garlic, car

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Answer:

FORMULA USED-

NUMBER OF SUBSETS OF A SET WITH n ELEMENTS= 2^n

Here our set is { onions, garlic, carrots, brocoli, shrimp, mushrooms, zucchini, green pepper}

Different variations available for ordering pasta with tomato sauce= 28 = 256 ( As here n= 8)

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3 years ago

Last one - Thank you an advance :)

Ivan

Answers:
a. Given
b. Transitive property of congruence
c. Vertical angles are congruent
d. Transitive property of congruence

Let me know if you need any clarification as to how I got those answers. They should be self-explanatory but I'm happy to clarify further if needed.

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