1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
m_a_m_a [10]
3 years ago
11

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

Mathematics
1 answer:
Colt1911 [192]3 years ago
5 0

 

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

You might be interested in
Krystal puts three pencils in order from longest to shortest what is a fast way to order the same pencils from shortest to longe
Verdich [7]
Swap the shortest and longest pencil's places. You don't have to move the middle pencil.
5 0
3 years ago
Read 2 more answers
Find the vertex of the parabola.<br> F(x) = 5x^2 - 30x +49
Juli2301 [7.4K]

X=-b/2a is the formula for finding the axis of symmetry
So x= -30/2(5)
X=-30/10
X=-3

Because the axis of symmetry is -3, we know where to place our line, and we also know that the parabola is open downwards, which means that the vertex will be maximum. To find the vertex, plug in your values with the axis of symmetry as a midway point. Plug that in for x and so you should have the following:
F(x)
Y(f(x) and y variables are interchangeable) =5(-3)^2-30(-3)+49

Solve for y(f(x))
5(-3)^2-30(-3)+49
(-3)^2=3^2
3^2*5+30*3+49
Multiply
3^2*5+90+49
Add numbers
3^2*5+139
9*5=45
45+139=184
Y=184

So, your vertex would be
(-3,184) and it would be maximum. From there you can plug in the rest of your table of values.
4 0
3 years ago
The fuel tank of a certain airplane can hold up to 300 gallons of fuel. Let W be the total weight of the airplane (in pounds). L
velikii [3]

Answer:

35

Step-by-step explanation:

335kpkk[

7 0
3 years ago
Find the value of A in the equation 5/a+3=3/A-2
amid [387]
5+3a = 3-2a
So
5a = -2
a=-2/5=-0.4
4 0
3 years ago
Read 2 more answers
Given that MN = 5, NO = 12, and MO = 13, find cos O.
Galina-37 [17]

Answer:

12/13

Step-by-step explanation:

Given that MN = 5, NO = 12, and MO = 13, find cos O.

Since the reference angle is P, hence;

MN is the opposite = 5

MO is the hypotenuse = 13 (longest side)

NO is the adjacent = 12

Cos O = adj/hyp

Substitute the given values

Cos O = 12/13

Hence the value of Cos O is 12/13

8 0
3 years ago
Other questions:
  • All types of work are covered by a minimum wage. True False
    14·2 answers
  • 8pr/12p in simplest form
    13·1 answer
  • Write -0.89 as a fractions.
    11·2 answers
  • An experiment observes an integer uniformly chosen from {1.2, 3.4.5, 6, 7, 8, 9, 10, 11.12}
    11·1 answer
  • Hey guys if i can get some pointers on how to do this that would be great ive been stuck on this problem for over an hour my not
    8·1 answer
  • If f(x) = 5x2 − 2x, 0 ≤ x ≤ 3, evaluate the Riemann sum with n = 6, taking the sample points to be right endpoints. R6 =
    13·1 answer
  • The number of people using an older version of a spreadsheet program decreases at a rate that is proportional at any time to the
    15·1 answer
  • Which value could be substituted for x in order to make the inequality true? 8 &lt; x &lt; 8.5
    10·1 answer
  • X&gt;= -5 and y&gt;= -3 draw a graph with the following domain and range restrictions.
    9·1 answer
  • What is the factor of X^4-14х^3+40x^2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!