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Lynna [10]
2 years ago
5

Please help and Please write real equation for the answer thank you

Mathematics
1 answer:
Sidana [21]2 years ago
4 0

Answer:

  f(x) = (3x -12)/(x² -7x +12)

Step-by-step explanation:

The equation for a rational function can be written from the clues offered by the horizontal and vertical asymptotes, the y-intercept, and any "holes" in the function graph. Here, those clues are ...

  • horizontal asymptote: y = 0
  • vertical asymptote: x = 3
  • hole: (x, y) = (4, 3)
  • y-intercept: (0, -1)

__

The horizontal asymptote at y=0 tells you the denominator is of higher degree than the numerator. The vertical asymptote at x=3 tells you (x-3) is a factor of the denominator. The hole at x=4 tells you there is a factor of (x-4) in both numerator and denominator.

At this point, the function is tentatively ...

  f(x)=a\dfrac{x-4}{(x-3)(x-4)}

Evaluating this at the y-intercept, x=0, gives ...

  f(0) = -1 = a/(0 -3) = -a/3

  a = 3 . . . . . multiply by -3

Then our rational function, consistent with all of the features of the graph, is ...

  f(x)=\dfrac{3(x -4)}{(x -3)(x -4)}\\\\\boxed{f(x)=\dfrac{3x-12}{x^2-7x+12}}

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Mrs. Grubb bought some shirts for $4 each and some hats for $12 each. She bought 9 pieces of clothing for $100. Write a system o
Lana71 [14]

Answer:

Mrs. grub bought total number of shirts = 1

Mrs. grub bought total number of hats = 8

Step-by-step explanation:

Let Mrs. grub bought total number of shirts = x

Let Mrs. grub bought total number of hats = y

As given,

Price of 1 shirt = $4

Price of 1 hat = $12

⇒ Price of x shirts = $ 4x

   Price of y hats = $ 12y

Given that,

Mrs. Grubb bought total piece of clothes = 9

⇒ x + y = 9     .......(1)

Also given,

She bought all clothing for $100

⇒ 4x + 12 y = 100       ........(2)

Divide equation (2) by 4 we get

x + 3y = 25     .......(3)

Now,

Subtract equation (1) from equation (3) , we get

x + 3y  - ( x + y ) = 25 - 9

⇒ x + 3y - x - y = 16

⇒2y = 16

⇒y = \frac{16}{2} = 8

⇒ y = 8

Put value of y in equation (3), we get

x + 3(8) = 25

⇒x + 24 = 25

⇒x = 25 - 24 = 1

⇒x = 1

∴ we get

Mrs. grub bought total number of shirts = x = 1

Mrs. grub bought total number of hats = y = 8

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2 years ago
Find domain of this function. What you see are two rays on the graph.:
taurus [48]
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3 years ago
Can some please help me?? It’s do today also can you guys explain how to do it because it’s still More questions and I actually
Genrish500 [490]

Answer:

-3

Step-by-step explanation:

Slope of a line is "rise over run".  Pick two points on the line.  For example, (0,4) and (1,1).  As we move from the first point to the second, we move down 3 units and right 1 unit.  So the slope is -3/1 = -3.

Here's an algebraic approach.  If the two points are (x₁, y₁) and (x₂, y₂), then the slope is:

m = (y₂ − y₁) / (x₂ − x₁)

Plugging in our two points:

m = (1 − 4) / (1 − 0)

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3 0
2 years ago
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