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
max2010maxim [7]
3 years ago
14

let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q and p, if the y intercept is

(0,4)?
Mathematics
1 answer:
svlad2 [7]3 years ago
7 0

Answer:

The value of q and p is 4 and -24  respectively.

Step-by-step explanation:

Being f(x)=\frac{p+8}{x-q} , the line x=4 is a vertical asymptote to the graph of f(x).  The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.

Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:

x - q= 0

Solving:

x= q

Being the line x=4 the vertical asymptote, then

<u><em>4=q</em></u>

Then the function f (x) is:

f(x)=y=\frac{p+8}{x-4}

The y intercept is (0,4). This is, x= 0 and y=4. Replacing:

4=\frac{p+8}{0-4}

Solving:

4=\frac{p+8}{-4}

4*(-4)= p+8

-16= p+8

-16 - 8= p

<u><em>-24= p</em></u>

<u><em>The value of q and p is 4 and -24  respectively.</em></u>

You might be interested in
Can someone help me ?
V125BC [204]
10/3 x 5 + 10/3 x 1/4
5 0
2 years ago
Q. Find the measure of QR
Andreas93 [3]

Answer: 22

Step-by-step explanation:

Since U is the midpoint of P and R, and S is the midpoint of P and Q, SU must be a midsegment.

By the midsegment theorem, SU is 1/2 the value of QR. Therefore QW = SU*2 = 11*2 = 22.

8 0
2 years ago
Which graph represents a quadratic function with a vertex at (0, 0)?
maxonik [38]
The 3rd one. (where the round part of the graph is at 0, 0) because that is where the y axis meets
7 0
3 years ago
Read 2 more answers
Please answer number 4 I’ll give brainliest thanks!
bagirrra123 [75]

Answer:

1/8

Step-by-step explanation:

P(5) = 1/8

-----------

6 0
3 years ago
Read 2 more answers
What to the tenth power can get you 300
OLEGan [10]

Answer:

1.7689 (rounded to 4 decimal places)

Step-by-step explanation:

Let the number we are seeking be "x", thus we can write the equation as:

x^{10}=300

Since we have raised "x" to the "10th power", to get "x" back again, we need to take 10th root. Same goes for right side, we take 10th root of 300. We will get our answer. The process shown below:

x^{10}=300\\\sqrt[10]{x^{10}} =\sqrt[10]{300} \\x=\sqrt[10]{300} \\x=1.7689

hence, 1.7689 raised to 10th power will give us 300

5 0
3 years ago
Other questions:
  • Exact product of 379 and 8
    11·2 answers
  • Holly bought 23 Tickets to the baseball game. She got a group rate that gave her $4 off the regular ticket price for each ticket
    7·1 answer
  • Ben strikes out 90 times in 340 at bat. What percent of the time does Ben strike out
    8·1 answer
  • What percent of $5.00 is $.75
    5·2 answers
  • Plz help me with this
    6·2 answers
  • For the members of a neighborhood meeting group, the probability of randomly selecting a member who likes to cook is 42%, the pr
    15·1 answer
  • HELP!can somebody give me the answer then explain how they did and if you cheated tell me how you cheated lol
    10·1 answer
  • choose an expression for the following phrase. fifteen divided by unknown number. A) (3y)(3) B) y/15 C) 15/y D (5y)(3)
    14·2 answers
  • Find the exact trigonometric value:<br> sin 255
    7·2 answers
  • Can anyone please help me ASAP?I have included a picture.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!