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Effectus [21]
3 years ago
12

I NEED HELP IN QUESTION 8 PLEASE !

Mathematics
1 answer:
Lyrx [107]3 years ago
8 0

Answer:

Step-by-step explanation:

line segment  JM

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Match the features of the graph of the rational function.
Sunny_sXe [5.5K]

After applying <em>algebraic</em> analysis we find the <em>right</em> choices for each case, all of which cannot be presented herein due to <em>length</em> restrictions. Please read explanation below.

<h3>How to analyze rational functions</h3>

In this problem we have a rational function, whose features can be inferred by algebraic handling:

Holes - x-values that do not belong to the domain of the <em>rational</em> function:

x³ + 8 · x² - 9 · x = 0

x · (x² + 8 · x - 9) = 0

x · (x + 9) · (x - 1) = 0

x = 0 ∨ x = - 9 ∨ x = 1

But one root is an evitable discontinuity as:

y = (9 · x² + 81 · x)/(x³ + 8 · x² - 9 · x)

y = (9 · x + 81)/(x² + 8 · x - 9)

Thus, there are only two holes. (x = - 9 ∨ x = 1) Besides, there is no hole where the y-intercept should be.

Vertical asymptotes - There is a <em>vertical</em> asymptote where a hole exists. Hence, the function has two vertical asymptotes.

Horizontal asymptotes - <em>Horizontal</em> asymptote exists and represents the <em>end</em> behavior of the function if and only if the grade of the numerator is not greater than the grade of the denominator. If possible, this assymptote is found by this limit:

y = \lim_{x \to \pm \infty} \frac {9\cdot x + 81}{x^{2}+8\cdot x - 9}

y = 0

The function has a horizontal asymptote.

x-Intercept - There is an x-intercept for all x-value such that numerator is equal to zero:

9 · x + 81 = 0

x = - 9

There is a x-intercept.

Lastly, we have the following conclusions:

  1. How many holes? 2
  2. One <em>horizontal</em> asymptote along the line where y always equals what number: 0
  3. This function has x-intercepts? True
  4. One <em>vertical</em> asymptote along the line where x always equals what number: 1
  5. There is a hole where the y-intercept should be? False

To learn more on rational functions: brainly.com/question/27914791

#SPJ1

5 0
2 years ago
-9/2+ 1/2 + 13/2 = -1/2 (8+13)
AysviL [449]

Answer:

−9

2

+

1

2

+

13

2

?

=

−1

2

(8+13)

2.5≠−10.5

False

Step-by-step explanation:

5 0
3 years ago
If a puppet requires 3/4 yard of material, how many puppets can be made from 9 yards of material?
klasskru [66]
First find out how many times 3/4 yard goes into 9. 3/4 fits into 9 twelve times, so twelve puppets can be made.

Did I help? Thank me by clicking best answer!
5 0
3 years ago
Read 2 more answers
The formula for the volume of a cone is v=1/3pir^2h. Find the radius, to the nearest hundredth, of a cone with a height of 3 in.
Maru [420]
<span>Cone Volume = (<span>π<span> • r² •<span> h) ÷ 3
radius^2 = (3 * Volume) / (PI * height)
</span></span></span></span><span>radius^2 = (3 * 12) / (PI * 3)
radius^2 = (36)/ (</span><span>9.4247779608) </span><span>
radius^2 = </span> <span> <span> <span> 3.8197186342 </span> </span> </span>
radius = <span> <span> <span> 1.95</span></span></span>




7 0
3 years ago
Five friends are going bowling two of the rent shoes at three dollars per pair the group spent $15 at the snack bar the total co
Vedmedyk [2.9K]
66-(3*2)
 60/5= 11
so 11$ for the three who didn't rent shoes and the two who did spent  14 each
8 0
3 years ago
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