How to know whether you have a vertical or horizontal asymptote?

1 answer:

Colt1911 [192]3 years ago

5 0

hello : 
1 ) if : xـــــــ> ± ∞ 
limf(x) = b ....(b∈R) so : y=b is the equation of the line horizontal asymptote.
2) if : xـــــــ> a ...(a∈R)
limf(x) = ± ∞
so : x=a is the equation of the line vertical asymptote.

You might be interested in

Please help!!!!!!!!!!!!!!!!!!!!

Ahat [919]

Greetings!

"Write and solve an equation to determine how many servings of this item ...exactly 45 grams of cholesterol"...

The variable in this equation would be the amount of servings she can eat of the items.
Lets represent this as $x$ ; $x$ =amount of servings

The item has 30 mg of cholesterol and she wants to only consume 45 mg.

The equation would be:
$30x=45$

Solve for x.
Divide both sides by 30.
$(30x)/30=(45)/30$
Simplify.
$x=1.5
$

Alisa can consume 1.5 servings of the item each day.

Hope this helps.
-Benjamin

7 0

3 years ago

Answer the question pictured to the right.

Norma-Jean [14]

You’re answer should be 9-7 hope this helped

3 0

3 years ago

Harriet works at the Mint, where new coins are made. Old and fake coins are also destroyed there. Harriet has 10 bags of $1 coin

Aloiza [94]

Answer:

3 times

Step-by-step explanation:

She would have to weigh the fake coins and another bag of real coins to spot a difference, and then she would need to check another bag to see which was correct. Maybe thats right.

4 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!

STatiana [176]

Considering High School level question, answer can be written as:

A system of 2 linear equations is [two] dimensional. It is a graph of [two] lines. The solutions can be [unique] solution if the graph intersects. [No] solution if the lines are parallel - meaning they have the same slope, or [Infinitely many] solutions if they are the same line.

Explanation:

when two lines are drawn on a two-dimensional plane then there are only three possible cases:

Case1: lines will intersect

In that case you will get a unique solution at the intersection point.

Case2: lines are parallel but don't touch each other

In that case there will be no point which lies on both lines so No solution.

Case3: lines are overlapping.

In that case all the points lies on both lines so infinitely many solutions.

6 0

4 years ago

Write all pairs of numbers satisfying the equation x2 + y2 =5 and x2 + y2= 25

lorasvet [3.4K]

Answer:

There is no solution for this set of equations.

The sum of two numbers can not have two different solutions.

6 0

3 years ago