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HACTEHA [7]
3 years ago
14

What is a geometric sequence and arithmetic sequence? ~MUST EXPLAIN~

Mathematics
1 answer:
Vadim26 [7]3 years ago
6 0
A geometric sequence is one that involves addition or subtraction. One example would be "In an auditorium, the 1st row has 25 seats. The 2nd has 30. The 3rd has 35. How many does the 4th have? Take the formula, x + 5. All you do is simply add 5. 

An arithmetic sequence is one that involves multiplication or division. For example, "Jon receives 5 dollars each week. If he waits for 5 months, how much money will he have? Honestly, all you have to do is think about the formula. x * 5. x would be the number of weeks. 

I know my answer is not as good as the verified one, but it is simpler and easier to understand. I apologize if it isn't good enough. 
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1. 1/8 + 5/6 =?
Ivan
1)Find the lcd for 1/8+5/6
=2/24+5*4/24
since the denominators are equal, combine the fractions 
=3+4*5/24
=23/24

2)Convert the mixed numbers to improper
=15/8*17/5
=255/40
=51/8
=6 3/8

3)1/9 divided by 3
1/3*9
=1/27

4) 2 3/5* 2 6/35
13/5*76/35
13*76/175
988/175
=5 113/175
4 0
4 years ago
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
Which equation is quadratic in form?
Rainbow [258]

A quadratic equation refers to an equation with the highest degree of 2. The first equation, 2(x+5)^2 + 8x + 5 + 6 = 0 is the only one with the highest degree of 2 (in (x+5)^2), so that is the quadratic.

3 0
4 years ago
Read 2 more answers
Wahaj buys a pizza for rs 800.A week later,the same piza costs rs 900.When wahaj asks the manger for the reason ,he explain that
lions [1.4K]

Answer:

12.5%

Step-by-step explanation:

The price increased from 800 to 900. So what is the PERCENTAGE INCREASE??

The increase is 900 - 800 = 100

To find this in terms of original, we need to divide 100 by 800 and multiply by 100 to get the "percentage". Let's do it:

\frac{100}{800}*100=12.5

So the increase is 12.5% and thus the general sales tax is 12.5%

6 0
3 years ago
The model below represents an equation. Write the equation that is modeled then find what value of x makes the equation true.
Dimas [21]
6x-5=4x+5
+5

6x=4x + 0
-4x
2x=0
x =0

probably to late but whatever

4 0
3 years ago
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