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vazorg [7]
4 years ago
7

Why is it possible to have two different rational functions with the same asymptotes?

Mathematics
1 answer:
jolli1 [7]4 years ago
4 0

Answer: Down below.

Step-by-step explanation:

A horizontal asymptote for a function is a horizontal line that the graph of the function approaches as x approaches ∞ (infinity) or -∞ (minus infinity). ... There are literally only two limits to look at, so that means there can only be at most two horizontal asymptotes for a given function

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A probable passes through (3,0) (-2,3) and (-1,4) what function does this represent
xenn [34]
Thought you'd want to know:  If you're talking about parabolas, it's parabolas, not probables.  ;)

The standard equation of a a quadratic is  y = ax^2 + bx + c.  We need to find the values of the coefficients a, b and c.

Taking the first point:  When x=3, y=0, so write 0 = a(3)^2 + b(3) + c, or
                                                                           0 = 9a + 3b + 1c

Do the same for points (-2,3) and (-1,4).

You will have obtained three linear equations in a, b and c:

3= a(-2)^2 + b(-2) + c, or 3 = 4a - 2b + 1c, also

4 = a(-1)^2 + b(-1) + 1c, or 1a - 1b + 1c.

I used matrix operations to solve this system.  The results are:

a= -2/5, b= 1/5, c= 21/5

and so the function f(x) is f(x) = (-2/5)x^2 + (1/5)x + 21/5.
6 0
3 years ago
Rational number with a denominator of 4 that fall between -1 and -2
asambeis [7]

Answer:

-5/4

Step-by-step explanation:

You can use this it is -1.25 or -5/4, and lies between -1 and -2, rational numbers are numbers that can be expressed in the form x/y of two integers.

6 0
3 years ago
PLEASE HLEP <br> 14.Write the expanded form of the expressions below: y(-3-7x)
denis23 [38]

Answer:

− 7 − 3

Step-by-step explanation:

( − 3 − 7 )

( − 7 − 3 )

7 0
3 years ago
The symbols &lt;, &gt;, ≤, ≥ are called
AlekseyPX

Given:

The symbols ,\leq ,\geq.

To find:

The correct name for the given group of symbols.

Solution:

We know that,

Equality symbols is "=".

Inequalities symbols are ",\leq ,\geq".

Operational signs are +,-,\times , \div.

Radical signs is \sqrt{}.

It means, the symbols ,\leq ,\geq are called inequalities symbols.

Therefore, the correct option is B.

7 0
3 years ago
Please help!!
vesna_86 [32]
1. have you ever borrowed money from a friend?
6 0
4 years ago
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