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
wariber [46]
2 years ago
6

(100 Points) Given f of x is equal to 10 divided by the quantity x squared minus 7x minus 30, which of the following is true?

Mathematics
2 answers:
ikadub [295]2 years ago
4 0

Answer:

f(x) is positive for all x > 10

Step-by-step explanation:

Given function:

f(x)=\dfrac{10}{x^2-7x-30}

<u>Asymptote</u>

Asymptote: a line which the curve gets infinitely close to, but never touches.

Factor the denominator of the function to find the vertical asymptotes:

\implies x^2-7x-30

\implies x^2-10x+3x-30

\implies x(x-10)+3(x-10)

\implies (x+3)(x-10)

Therefore:

f(x)=\dfrac{10}{(x+3)(x-10)}

The function is undefined when the denominator is equal to zero.

Therefore, there are vertical asymptotes at x = -3  and  x = 10
and a horizontal asymptote at y = 0

f(x) is positive for (10, ∞)

f(x) is negative for (-3, 10)

f(x) is positive for (-∞, -3)

katrin2010 [14]2 years ago
3 0

\\ \rm\Rrightarrow y=\dfrac{10}{x^2-7x-10}

If we factor

\\ \rm\Rrightarrow y=\dfrac{10}{(x+3)(x-10)}

Horizontal Asymptotes

  • y=0 as there is no variable in numbers

Vertical asymptotes

solve the denominator for 0

  • x=-3
  • x=10

Henec option D is correct

You might be interested in
Running Problem, Please Help!!!
kap26 [50]

Answer:

400

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help anybody! shoutout to
kirza4 [7]

Answer:

1/4 or 25%

Step-by-step explanation:

Only 1 whisker earned 25 or less so it's 1/4

6 0
2 years ago
Read 2 more answers
Order the following rational numbers from least to greatest:3•4 -0.01 1/4 12% -26.1
Angelina_Jolie [31]

Answer:

-26.1 , -0.01 , 12% , 1/4 , 3-4

Step-by-step explanation:

7 0
3 years ago
Uually Cxpressions
Oduvanchick [21]
4(x+1) is the only one equal to 0
5 0
3 years ago
A - 2 1/2 = 1 1/2 pls I need help. also dont now why it says im in high school.
yulyashka [42]

Answer:

question is not clear , what do u need exactly?

6 0
3 years ago
Other questions:
  • What is 42 of 100 equivalent to
    9·1 answer
  • Bastien, Inc. has been manufacturing small automobiles that have averaged 50 miles per gallon of gasoline in highway driving. Th
    12·1 answer
  • PLEASE ANSWER THIS QUICKLY
    14·1 answer
  • One - fifth as a percentage?
    9·2 answers
  • Which is greater 16/12 or 9/3
    14·2 answers
  • What is the initial value of the function represented by this graph? (1 point) A coordinate grid is shown with x- and y-axes lab
    8·1 answer
  • The Patriots won 9 games, lost 2 games, and tied 1 time. That means they won of their games!
    9·2 answers
  • Justify each step of this inequality by stating the property that was used to get to each step.
    15·1 answer
  • Sam is building a fence around his circular garden with a diameter of 8 ft. How long is the fence?
    10·1 answer
  • Help 4567778776655555
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!