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o-na [289]
2 years ago
10

What is the y-intercept of the line y = 2x - 5?

Mathematics
1 answer:
olga2289 [7]2 years ago
5 0

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have y = 2x - 5, then:

slope m = 2

y-intercept b = -5

<h3>Answer: y-intercept = -5.</h3>
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I don't know man my teacher is gonna have to deal with me leaving this blank lol.

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2 years ago
Is a relation always a function? Is a function always a relation? Explain.
katen-ka-za [31]

A function is always a relation but relation is not always a function

<u>Solution:</u>

Given that, we have to explain Is a relation always a function and is a function always a relation

Note that both functions and relations are defined as sets of lists.  

In fact, every function is a relation. However, not every relation is a function.  A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y.

That is, given an element x in X, there is only one element in Y that x is related to.

For example, consider the following sets X and Y. Let me give you a relation between them that is not a function;

X = { 1, 2, 3 }

Y = { a , b , c, d }

Relation from X to Y : { (1,a) , (2, b) , (2, c) , (3, d) }

This relation is not a function from X to Y because the element 2 in X is related to two different elements, b and c

Relation from X to Y that is a function: { (1,d) , (2,d) , (3, a) }

This is a function since each element from X is related to only one element in Y. Note that it is okay for two different elements in X to be related to the same element in Y. It's still a function, it's just not a one-to-one function.

So, we can say that function is a type of relation.

Which means whatever a function occurs, it will be a relation from one set to other.

But when a relation occurs it may be a function but need not be always a function.

Hence, a function is always a relation but relation is not always a function.

8 0
3 years ago
Between x = 2 and x = 3, which function has a greater average rate of change than y = 13 -x ?
Marrrta [24]
For this case what you should know is that the slope of the line can be calculated as:
 Tan x = sin x / cos x
 The lines x = 2 and x = 3 have an angle of 90 degrees with respect to the x axis:
 Tan 90 = sin 90 / cos 90 = 1/0 = inf
 Therefore, both lines have a rate of change that tends to infinity.
 answer
 Both lines have the same slope (infinity) Both are greater than m = -1
3 0
3 years ago
When factored completely, <br> X^3-7x^2-30x
sweet-ann [11.9K]

Answer:

x(x+3)(x−10)

Step-by-step explanation:

Hope this was helpful let me know if it was!

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2 years ago
The sum of two numbers is 21 . One number is 12 more than the other one. Find the numbers.
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The 2 numbers would be 9 and 12
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2 years ago
Read 2 more answers
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