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3 years ago

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How do you find vertical, horizontal and oblique asymptotes for f(x) = (5x-15 )/ (2x 14)?

1 answer:

Andrei [34K]3 years ago

6 0

For vertical asymptotes, find the values which make the function indetermine in this case x=-7,so this is the only vertical asymptote.
For horizontal asymptotes, find the limit when x tends to infinity:
=(5x/x-15/x)/(2x/x+14/x) = 5/2, this is the horizontal asymptote y=5/2
For obliques, you have to meet the degree of the numerator is exactly a greater degree than the denominator, in this case they are the same degree so no oblique asymptote.

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boyakko [2]

Answer:

$(x,y) =(-4,-3)$ --- Vertex

$x = -4$ --- Axis of symmetry

Step-by-step explanation:

Given

$y = -6(x + 4)^2 - 3$

Solving (a): The vertex

For an equation written in

$y = a(x - h)^2 + k$

The vertex is:

$(x,y) = (h,k)$

By comparison:

$y = a(x - h)^2 + k$ and $y = -6(x + 4)^2 - 3$

$-h =4$ $k = -3$

$h =-4$ $k = -3$

So, the vertex is:

$(x,y) =(-4,-3)$

Solving (b): The axis of symmetry

For an equation written in

$y = a(x - h)^2 + k$

The axis of symmetry is:

x = h

In (a):

$h =-4$

So:

$x = -4$

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2 years ago

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Answer: 0

Explanation:

I hope this helped!

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2 years ago

Read 2 more answers

To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top

tankabanditka [31]

Answer:

Height of the silo = 18 feet.

Step-by-step explanation:

From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.

Farmer is standing at 8 ft distance from the silo.

From triangle AEC,

tan(∠CAE) = $\frac{CE}{AE}$

= $\frac{5}{8}$

m(∠CAE) = $tan^{-1}(\frac{5}{8})$

= 32°

m∠BAE = 90° - 32° = 58°

From the triangle ABE,

tan58° = $\frac{BE}{AE}$

BE = 8tan58°

BE = 12.8 ft

Total height of the silo = BE + EC

= 12.8 + 5

= 17.8

≈ 18 ft

Therefore, total height of the silo is 18 ft.

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2 years ago

What is the order of √5 , -0.1, -5/3 , 0.7, √2 from least to greatest? A. √5, √2 , 0.7, -5/3 , –0.1 B. –0.1, 0.7, √2 , √5, -5/3

yKpoI14uk [10]

-5/3, -0.1, 0.7, -/2, -/5 Which is C

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3 years ago

What is the value of x?<br> (7x – 8)°<br> you<br> 62°

Leni [432]

Answer:

x=18

Step-by-step explanation:

180=62+(7x-8)

solve

x=18

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2 years ago