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
Zielflug [23.3K]
3 years ago
13

Show all work to identify the asymptotes and zero of the faction f(x) = 4x/x^2 - 16.

Mathematics
1 answer:
Reptile [31]3 years ago
5 0

Answer:

  • asymptotes: x = -4, x = 4
  • zeros: x = 0

Step-by-step explanation:

The vertical asymptotes of the rational expression are the places where the denominator is zero:

  x^2 -16 = 0

  (x -4)(x +4) = 0 . . . . . true for x=4, x=-4

  x = 4, x = -4 are the equations of the vertical asymptotes

__

The zeros of a rational expression are the places where the numerator is zero:

  4x = 0

  x = 0 . . . . . . divide by 4

You might be interested in
Diane has a hospital appointment. when she arrives at the hospital, the car park is nearly full. there are a total of 534 car pa
Oksanka [162]
In total there are 534 spaces, but 476 are occupied.
Occupied spots cannot be parked in.
The answer is 534 - 476, which equals 58 available spots. 
4 0
3 years ago
Value of sin^6 + cos^6+3sin^2cos^2 ​
Sav [38]

Step-by-step explanation:

If you put into a calculator "Sin(6)+Cos(6)+3Sin(2)Cos(2)", you get 1.20368506925. Hope that helps

4 0
3 years ago
The graph of F(x), shown below, has the same shape as the graph of G(x)=x^4 but it is shifted 4 units to the left. What is the e
Rufina [12.5K]
G(x) = (x+4)^4 is the answer. It's D. last choice

G(x) = (x+4)^4 shifted F(x) = x^4      4 units to the left
3 0
2 years ago
Read 2 more answers
7 1/2÷3/4 Please help this mom out!!
gavmur [86]

Answer:

10

Step-by-step explanation:

give me brainly

am i correct? let me know

7 0
3 years ago
Find the slope of the line that passes through (6, 7) and (2, 10). and simplify if needed thx guys.
tekilochka [14]

Answer:

-\frac{3}{4}

Step-by-step explanation:

the equation for finding the slope of a line when given two points is \frac{y_2-y_1}{x_2-x_1}, aka the change in y over the change in x.

pick one of your coordinate pairs to be y_2\\ and x_2. it doesn't matter which coordinate pair you choose as long as you keep them as y_2\\ and x_2. the remaining coordinate pair will be y_1 and x_1.

for this example, i'll use (2, 10) for y_2\\ and x_2 and (6, 7) for y_1 and x_1.

<em>**before i begin, i just want to note that you can do these next four steps in any order that you want. i personally prefer to plug in my y-values first and then my x-values, but you can choose to instead plug in the values of each coordinate pair (like starting by plugging in the coordinate pair (2, 10) with 10 for </em>y_2\\ and 2 for x_2<em>). it's up to you. i'm going to explain the steps by plugging in my y-values first and then my x-values because that's the way i normally do it.</em>

<em />

first, start by plugging in the y-value from the coordinate pair of your choosing in for y_2\\. since i chose (2, 10) for y_2\\ and x_2, i'll plug in 10 for y_2\\.

\frac{y_2-y_1}{x_2-x_1} ⇒ \frac{10-y_1}{x_2-x_1}

then plug in the remaining coordinate pair's y-value in for y_1. since the coordinate pair that's left is (6, 7), i will plug in 7 for y_1.

\frac{y_2-y_1}{x_2-x_1} ⇒ \frac{10-7}{x_2-x_1}

now i'm going to plug in the x-values. i chose (2, 10) to plug in for y_2\\ and x_2, so now i'll plug in 2 for x_2.

\frac{y_2-y_1}{x_2-x_1} ⇒ \frac{10-7}{2-x_1}

and all that's left to plug in is the x-value from (6, 7), so i will plug that in for x_1.

\frac{y_2-y_1}{x_2-x_1} ⇒ \frac{10-7}{2-6}

after plugging in all the values, you have \frac{10-7}{2-6}.

subtract 10 - 7 as well as 2 - 6.

\frac{10-7}{2-6} ⇒ \frac{3}{-4}

\frac{3}{-4} cannot be simplified, therefore the slope of the line is \frac{3}{-4} or -\frac{3}{4}.

i hope this helps! have a lovely day <3

7 0
2 years ago
Other questions:
  • Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the numbe
    6·2 answers
  • Wrire a fraction that is less than 5/6 and has a denominator of 8
    13·1 answer
  • If Jenner has 5 dollars and spends 5 dollars how much does she have now
    15·2 answers
  • Differential Equations Problem
    5·1 answer
  • Find the gcf. 12 and 45<br> a. 180<br> b. 3<br> c. 45<br> d. 12
    13·1 answer
  • 7/10 pound of chicken split 3 ways
    9·1 answer
  • Convert to an improper fraction. Type in your answer with the negative in the numerator. -11 1/3
    10·2 answers
  • Jeremy bought a new pair of jeans. The jeans
    15·2 answers
  • Someone help me please !!
    11·1 answer
  • If f(x)=2 sin 3x+C, then the maximum value of f(x) is:<br> 1)C<br> 2) C+2<br> 3) C+3<br> 4) C+6
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!