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
slega [8]
3 years ago
8

Find any points of discontinuity for each rational function. Sketch a graph. Describe any verticals or horizontal asympyoyes and

any holes
(X^2-4)/(X+2)(X^2-49)

Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0
For
  y = (x^2 -4)/((x +2)(x^2 -49))
the numerator factors to (x -2)(x +2), so the factor of (x +2) will cancel with that in the denominator, leaving
  y = (x -2)/(x^2 -49)

There are points of discontinuity at the hole, x=-2, and at each of the vertical asymptotes, at x=-7, +7.
The horizontal asymptote is y=0.

You might be interested in
Find ​(a) the slope of the curve at the given point​ p, and ​(b) an equation of the tangent line at p. y=−2−9x2​; ​p(2​,−38​)
Neporo4naja [7]

Answer:

a) -36

b) y = -36x +34

Step-by-step explanation:

a) The slope is found using the derivative of the function.

  f'(x) = dy/dx = 0 -9(2x) = -18x

Then at x=2, the slope is ...

  f'(2) = -18·2 = -36

___

b) The point-slope form of the equation can be written as ...

  y = -36(x -2) -38

Simplifying to slope-intercept form, we get ...

  y = -36x +34

6 0
3 years ago
I need help asap please!!!
Mashcka [7]
1. x = 118      2. x = -54      3. x = -54      4. x = -54

5 0
3 years ago
One root of f(x) = x + 10x2 – 25x – 250 is x = -10. What are all the roots of the function? Use the Remainder Theorem.
Natalka [10]

Answer:

-10

-5

5

Step-by-step explanation:

From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250

The Remainder Theorem is going to take a bit to solve.

You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.

The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.

However just to get the roots, the graph shows that

x = -10

x = - 5

x = 5

The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give

f((10) = 10^3 + 10*10^2 - 25*10 - 250

f(10) = 1000 + 1000 - 250 - 250

f(10) = 2000 - 500

f(10) = 1500 which is  not 0.

==================

f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250

f(1) = 1 + 10 - 25 - 250

f(1) = -264 which again is not zero

3 0
3 years ago
Read 2 more answers
GIVING LOTS OF POINTS!!!!
Orlov [11]

Answer:

80 cubes

Step-by-step explanation:

volume of one small cube = 1 /2 × 1 / 2 × 1 / 2

= 1 / 8cm^3

let x be the number of cubes needed

1 / 8 × x = 10

x = 10 × 8

x = 80 cubes

6 0
2 years ago
You randomly draw a marble from a bag of marbles that contains 8 blue marbles, 5 green marbles, and 8 red
Viktor [21]

P(red & blue) = 16/21

5 0
3 years ago
Read 2 more answers
Other questions:
  • How many atoms of carbon are in a single molecule of sugar?
    14·1 answer
  • The vertices of triangle ABC are A(2, -5), B(-3, 5), and C(3, -3). The triangle is reflected over the x-axis. Use arrow notation
    5·1 answer
  • The distance between two towns on a map is 9 centimeters. the actual distance between two towns is 63 kilometers. what is the sc
    5·2 answers
  • The base of pyramid A is a rectangle with a length of 10 meters and a width of 20 meters. The base of pyramid B is a square with
    9·2 answers
  • Find the difference for (-3ab-8a+8)-(-5ab+2)
    5·2 answers
  • What function to use and how to use it
    7·1 answer
  • Helpppppppppppppppppppppppppppppp Asapppppppppppppp
    6·1 answer
  • Lucy, Sam, and Jim sent a total of 75 text messages over their cell phones during the weekend. Lucy sent 5 more messages than Sa
    6·2 answers
  • What is the equation of the circle?
    7·1 answer
  • Find the lowest common denominator of 4/7 and 3/5
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!