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The horizontal asymptote of the function f(x) = (x - 2)/(x - 3)²is;

A: y = 0

We are given the function;

f(x) = (x - 2)/(x - 3)²

Expanding the denominator gives us;

f(x) = (x - 2)/(x² - 6x + 9)

The rules for a horizontal asymptote are;

In our given expression, we can see that the degree of the denominator polynomial is greater than that of the numerator and as such the horizontal asymptote is y = 0.

Read more about horizontal asymptote at; https://brainly.com/question/6459599

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Explanation:

When x = 0, we have y = 18. The y intercept value is 18. This is the initial value, and it's the value of 'a' in the equation below

y = a*b^x

The value of b is tied to the growth or decay rate, depending on if b > 1 or if 0 < b < 1 respectively.

In this case, we have growth due to y increasing as x increases. They increase together.

When x increases by 1 like this, the value of b can be determined by dividing any y term over its previous value. So for instance, we can say b = 21.6/18 = 1.2 or we could say b = 25.92/21.6 = 1.2

Then note how 1.2 = 6/5, which means b = 6/5

Therefore, y = a*b^x becomes y = 18(6/5)^x

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We can confirm this equation by plugging in x values from the table and we should get the y values, or f(x) values, listed

Example: plug in x = 0 to find that

y = 18(6/5)^x

y = 18(6/5)^0

y = 18(1)

y = 18 which matches

Then try x = 1

y = 18(6/5)^x

y = 18(6/5)^1

y = 18(1.2)

y = 21.6 that also matches

I'll let you confirm the other x values.

The reflection of shape from x = -2 shown below.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

We have,

To reflect the figure from x= -2.

Then, the coordinates of object after reflection is

(-1, -1)

(1, -1)

(-1, -4)

(0, -4)

(1, -3)

Learn more about transformation here:

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Answer:

6

Step-by-step explanation:

Answer:

1 hour and 40 minutes

Step-by-Step

4:10 to 5:10 is 1 hour. 5:10 to 5:50 is 40 minutes. Put it together and its 1 hour and 40 minutes.

Answer:

The answer is a 20% increase

Hope this helps!

Mark me brainliest if I'm right :)

9514 1404 393

Answer:

  (b)  49°, 59°, 72°

Step-by-step explanation:

The sum of the interior angles of a triangle is 180°. The only answer choice with that sum is the second one.

  49°, 59°, 72°

Answer:

12

Step-by-step explanation:

since 36 is double 18, you would then double 6. what you do to one side, you do to the other:)

Answer:

? = 12

Step-by-step explanation:

18  ⋅ 12  =  36 , multiply the numerator  

6  by  2  to get   12 .

Answer:

34560

Step-by-step explanation:

You have to multiply to get your answer

Hope I'm right...

Hope this helps plz like and brainly :D

Answer:

b

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6.5%/100 = 0.065 per year,

then, solving our equation

I = 95000 × 0.065 × 20 = 123500

I = $ 123,500.00

The simple interest accumulated

on a principal of $ 95,000.00

at a rate of 6.5% per year

for 20 years is $ 123,500.00.

Answer:

...Okay thank you!

Step-by-step explanation:

...... :)

Answer:

Hello random person, thanks for the points! <3

Answer:

rather 59 or 87?

Step-by-step explanation:

Not enough information is provided to answer Because there aren't being given an exact amount of each currency. So the correct option is E.

We have been given information;

Alisa has a bunch of coins. She has pennies. She has nickels. She has dimes She has quarters. They lie in one big pile.

Alisa wants to organize her coins So she goes into her cupboard and finds four jars.

Each jar has a different shape and size. Alisa puts the pennies into one jar and puts the nickels into another jar.

She puts the dimes into another jar. She puts the quarters into another jar Then she puts all four jars on the table and steps back.

Not enough information is provided to answer Because there aren't being given an exact amount of each currency, there is no way to know for sure which jar would have the most money in it.

So the correct option is E.

Learn more about this concept;

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Answer:

C

Step-by-step explanation:

If you expand C  you will find it to be true

The number of distinct arrangements of the 9 letters in SEVENTEEN is 7560

The number (n) of letters in SEVENTEEN is given as:

[tex]n = 9[/tex]

The repeated letters are E and N, and their frequencies are:

[tex]E=4[/tex]

[tex]N = 2[/tex]

So, the number of distinct arrangements is calculated as:

[tex]Arrangements = \frac{n!}{E!N!}[/tex]

Substitute values for n, E and N

[tex]Arrangements = \frac{9!}{4! \times 2!}[/tex]

Expand the factorials

[tex]Arrangements = \frac{362880}{24 \times 2}[/tex]

[tex]Arrangements = \frac{362880}{48}[/tex]

Evaluate the quotient

[tex]Arrangements = 7560[/tex]

Hence, the number of distinct arrangements is 7560

Read more about arrangements at:

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Answer:

85 dollars

Step-by-step explanation:

Big brain

Answer:

1/3

Step-by-step explanation:

-4 - (-3)= - 1

-12 -(-9)=-3

two negatives make a positive

-1/-3 = 1/3

9514 1404 393

Answer:

  A) ∠DHG = 96°

  B) arc EF = 134°

Step-by-step explanation:

Part A:

As you have shown in your work, angle DHG is supplementary to given angle FHG:

  ∠DHG = 180° -∠FHG

  ∠DHG = 180° -84°

  ∠DHG = 96°

__

Part B:

  ∠DHG is half the sum of arcs EF and DG.

  96° = (1/2)(arc EF + 58°) . . . . . fill in known values

  192° -58° = arc EF . . . . . . . . . . multiply by 2, subtract 58°

  arc EF = 134°

[tex]{ \huge {\underline {\underline {\mathfrak {\purple{Answer}}}}}}[/tex]

[tex] \longmapsto{2 {x}^{2} - 5x + 2}[/tex]

[tex] \longmapsto{2 {x}^{2} - 4x - x + 2}[/tex]

[tex]\longmapsto{2x(x - 2) - 1(x - 2)}[/tex]

[tex]\longmapsto{(2x - 1)(x - 2)}[/tex]

[tex] \boxed{ \huge x = \huge\dfrac{1}{2} \: or \: 2}[/tex]

Answer:

not proportional

Step-by-step explanation:

mrk brainliest

Answer:IknowdacorrectansweritisA

Step-by-step explanation:

Answer:

The final selling price would be $51.20

20% of 80 gives you 16

80-16= 64

20% of the 64 which is from the coupons gives you 12.5

64-12.5 =51.20

Answer:

person above me is correct

Step-by-step explanation:

just put what they put

Answer:

I think both A and B would work,

Answer:

Step-by-step explanation:

The blank is the x-axis

Answer:

1. 1               2.1/2           3. 0           4. 1              5. 1/2           6. 0

Step-by-step explanation:

Answer:

There are no equations that we can see but send me a screen shot in discord of it and I will help, my discord is Mousycritter#2842

Step-by-step explanation:

Answer: it’s a

Step-by-step explanation: