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
adelina 88 [10]
2 years ago
13

19) Given that f(x)x² - 8x+ 15x² - 25find the horizontal and vertical asymptotes using the limits of the function.A) No Vertical

or Horizontal asymptotesB) No Vertical asymptotesHorizontal asymptote aty - 1Vertical asymptote at x = 5Horizontal asymptote at y = 1D) Vertical asymptote at x = -5Horizontal asymptote at y = 1
Mathematics
1 answer:
Tems11 [23]2 years ago
4 0

EXPLANATION

Since we have the function:

f(x)=\frac{x^2-8x+15}{x^2}

Vertical asymptotes:

For\:rational\:functions,\:the\:vertical\:asymptotes\:are\:the\:undefined\:points,\:also\:known\:as\:the\:zeros\:of\:the\:denominator,\:of\:the\:simplified\:function.

Taking the denominator and comparing to zero:

x+5=0

The following points are undefined:

x=-5

Therefore, the vertical asymptote is at x=-5

Horizontal asymptotes:

\mathrm{If\:denominator's\:degree\:>\:numerator's\:degree,\:the\:horizontal\:asymptote\:is\:the\:x-axis:}\:y=0.If\:numerator's\:degree\:=\:1\:+\:denominator's\:degree,\:the\:asymptote\:is\:a\:slant\:asymptote\:of\:the\:form:\:y=mx+b.If\:the\:degrees\:are\:equal,\:the\:asymptote\:is:\:y=\frac{numerator's\:leading\:coefficient}{denominator's\:leading\:coefficient}\mathrm{If\:numerator's\:degree\:>\:1\:+\:denominator's\:degree,\:there\:is\:no\:horizontal\:asymptote.}\mathrm{The\:degree\:of\:the\:numerator}=1.\:\mathrm{The\:degree\:of\:the\:denominator}=1\mathrm{The\:degrees\:are\:equal,\:the\:asymptote\:is:}\:y=\frac{\mathrm{numerator's\:leading\:coefficient}}{\mathrm{denominator's\:leading\:coefficient}}\mathrm{Numerator's\:leading\:coefficient}=1,\:\mathrm{Denominator's\:leading\:coefficient}=1y=\frac{1}{1}\mathrm{The\:horizontal\:asymptote\:is:}y=1

In conclusion:

\mathrm{Vertical}\text{ asymptotes}:\:x=-5,\:\mathrm{Horizontal}\text{ asymptotes}:\:y=1

You might be interested in
Anyone who knows this mathematic question will get the brainliest
spayn [35]
The third one is 510 not show in the pic here

7 0
3 years ago
He ran 10 meters in 2.7 seconds. priya ran 10 meters in 2.4 seconds.
anzhelika [568]

Answer:

The first person somehow

Step-by-step explanation: 10 divide by 2.7 is 3.7037037 and 10 divided by 2.4 is 4.16666667

7 0
3 years ago
What is the volume of a cylinder that has the same base and height dimensions as the cone shown below? Use 3.14 for pi the base
Zarrin [17]
Answer: I assume the radius is 1/2 the base of 6 in.

r = 3 ft
h = 10 ft
s = 10.4403 ft
V = 94.2478 ft³
L = 98.3976 ft²
B = 28.2743 ft²
A = 126.672 ft²


r = radius
h = height
s = slant height
V = volume
L = lateral surface area
<span>B = base surface area </span>
A = total surface area
π<span> = pi = 3.14159</span>
<span>√ = square root</span>
8 0
3 years ago
X is a number from the set [3,5,6] and y is a number from the set [4,7,8,9]. If xz/y is an integer and z is a positive integer,
UNO [17]

The smallest possible value of z is the denominator of the reduced fraction x/y. We note the prime factors of the members of set y are

... 2², 7, 2³, 3²

so if there are any even members of set x, the fraction can be reduced to something divided by 2. The number 6 in set x is even, so we have

... 6z/4 = 6·2/4 = 3 (an integer) when z=2

The lowest possible value of z is ...

... B) 2

4 0
4 years ago
Can I get some help on this problem? Thanks guys yo its really easy but I cant figure it out 
alina1380 [7]

Answer:

x is equal to 15.

Step-by-step explanation:

In order to solve this, we need to set it up as a proportion.

6/8 = x/20

Now that we have the proportion, we need to cross multiply to solve.

6*20 = 8*x

120 = 8x

15 = x

8 0
3 years ago
Other questions:
  • Drag each interval to a box to show if the function shown is increasing, decreasing, or
    7·1 answer
  • Identify the area of the trapezoid.
    14·1 answer
  • Find he value of x, round t nearest degree (sines and cosines)
    8·2 answers
  • In a survey of 97 resorts, it was found that
    6·1 answer
  • Balloon A is charged, and balloon C is charged. If balloon A approaches balloon C, there’ll be a force of between them.
    11·1 answer
  • What is the length of the hypotenuse of the following triangle to the nearest whole number?
    9·1 answer
  • A bus comes to a station once every 10 minutes and waits at the station for 1.5 minutes. Assume that you arrive at the station a
    8·1 answer
  • How would i answer this?​
    7·1 answer
  • ABCDEFGH is a rectangular prism with CD=5, AD=6, and AE=8. Find the volume of tetrahedron ABCF.
    5·2 answers
  • Find the formula for the geometric sequence 4, -8, 16, -32
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!