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
kupik [55]
2 years ago
13

Which statement describes the vertical asymptotes of the graph of f(x)=x^2-64/8x-64

Mathematics
1 answer:
g100num [7]2 years ago
4 0
<h3>Answer:  Choice A</h3>

The graph has <u>no</u> vertical asymptote

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

Explanation:

Let's simplify the function by factoring each piece.

f(x) = \frac{x^2-64}{8x-64}\\\\f(x) = \frac{(x-8)(x+8)}{8x-64}\\\\f(x) = \frac{(x-8)(x+8)}{8(x-8)}\\\\f(x) = \frac{x+8}{8}\\\\

In the 2nd step, I used the difference of squares rule to factor the numerator. In the 4th step, the (x-8) terms cancel.

The simplified version doesn't have any variables in the denominator. This indicates the denominator is always 8, and never 0. So it's impossible to divide by zero in this simplified form. Consequently it means this graph <u>has no vertical asymptotes.</u>

However, there is a hole at x = 8 because this input causes a division by zero error in the original non-simplified function. Why? Because the calculator will use PEMDAS to evaluate the expression after replacing every copy of x with 8. It likely won't attempt to simplify like shown in the steps above. This is what causes the hole at x = 8.

The value x = -8 is perfectly fine in either the original function or the simplified one. It doesn't cause the denominator to be zero.

You might be interested in
LAST ONE SORRY I REALLY NEED HELP ON THIS ONEEEE
BartSMP [9]

Answer:

First, find the bats left 100 times for left-handed pitchers and right-handed pitchers:

0.285 x 100 = 28.5

0.175 x 100 = 17.5

Next, subtract these numbers to find how many more hits he will get:

28.5 - 17.5 = 11 and that is your answer

7 0
3 years ago
1
bogdanovich [222]

Answer:

12$ an hour

Step-by-step explanation:

60 minutes in an hour 15 times 4= 60 which is one hour, so 4 times 3 equals 12 which is the answer

4 0
3 years ago
Read 2 more answers
The square root of 68
Anna71 [15]

the  square root is 8.246211251

8 0
3 years ago
30 Points, 5 stars, thanks and Brainliest if answered correctly because I feel generous.
wlad13 [49]

Find the difference between each number:

-24/4 = -6

144/-24 = -6

The next number is multiplied by -6

You have the first 4 terms

5th term = -864 x -6 = 5184

6th term = 5184 x -6 = -31,104

7th term = -31,104 x -6 = 186,624

8th term = 186,624 x -6 = -1,119,744

4 0
3 years ago
Read 2 more answers
I need help on this hw
Vinil7 [7]
Its 21 because 9+10= 21

7 0
3 years ago
Other questions:
  • Jenny studied the characteristics of two species of bacteria. The number of bacteria of species A, A(t), after t hours is repres
    5·2 answers
  • Divide and answer in simplest form: 6 ÷ 4/3
    7·1 answer
  • 3x - 7y = -28 for y do I solve this equation differently than any other one?
    6·1 answer
  • What is the base of a parallelogram with an area of 72 square feet and a height of 12 feet?
    15·1 answer
  • Find the product. (a3 + 8)(a3 – 8)
    15·2 answers
  • Please check my answer. Find the slope of the line whose equation is y - 5x = 9. my answer is m=5
    15·2 answers
  • 33. What is the value of x when x + 10 = 4?<br> A. -14<br> B. -6<br> C. O<br> D. 6
    10·2 answers
  • An online spinner has two colored regions--blue and yellow. according to the website, the probability that the spinner lands in
    12·2 answers
  • Please solve this system of equations using the Substitution Method:<br> y= 2x + 10 and 2x+y= -6
    10·1 answer
  • Write an equation of a line that passes through (1,1)and (6,6)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!