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Ksivusya [100]
3 years ago
15

Can someone please help me? thanks!

Mathematics
2 answers:
iragen [17]3 years ago
8 0
The small rectangle was blown up by 5 times to turn into the bigger rectangle to put x5 in the box =)
vodka [1.7K]3 years ago
6 0
The small rectangle was blown up by 5  to turn into the bigger rectangle to put x5 in the box. Hope this helps!
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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
20 points helppppp which pair shows equivilent fractions
skelet666 [1.2K]

Answer:

Third

Step-by-step explanation:

First would be, simplified, 2x+10=2x-10

Second, simplified, -2x-10=2x-10

Third, simplified, -2x-10=-2x-10

Fourth, simplified, -2x+10=2x-10

So it's third :)

hope this helps :D

4 0
3 years ago
Read 2 more answers
A triangle has side lengths of 15 10 and 7 is it a right triangle
lions [1.4K]

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Given:

The sides of the triangle =  15 10 and 7

To Find:

Whether the triangle is a right triangle = ?

Solution:

According to Pythagorean theorem , In an right triangle the the sum of the squares of the two smaller sides must equal to the square of the larger side

a^2 +b^2 =c^2\\

where

a and b are the smaller sides

c is the larger side

Now from the given data, lets assume

a = 10 and b =7 and c =15

Substituting in the above equation we get,

(10)^2 +(7)^2 = (15)^2

100 + 49 = 225

149 = 225

149 \neq 225

So, the given triangle is not a right triangle.

7 0
3 years ago
13. What is the absolute value of I -32 I?
Temka [501]

Answer:

32

Step-by-step explanation:

7 0
3 years ago
How are the decimals 0.009 and 0.09 related? Explain
xz_007 [3.2K]
Considering the place value of the digit 9, in the first number, the decimal value of 9 is thousands. In the second number, the decimal value of 9 is hundredths. The conclusion we are drawing is: The second decimal is 10 times larger than the first one
7 0
3 years ago
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