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Elis [28]
3 years ago
7

Show all work to identify the asymptotes and zero of the function f of x equals 4 x over quantity x squared minus 16.

Mathematics
1 answer:
wlad13 [49]3 years ago
3 0

9514 1404 393

Answer:

  • asymptotes: x = ±4, y = 0
  • zero: x = 0

Step-by-step explanation:

The function factors as ...

  f(x)=\dfrac{4x}{(x-4)(x+4)}

The vertical asymptotes are found where the denominator factors are zero:

  x-4 = 0   ⇒   x = 4

  x+4 = 0   ⇒   x = -4

The zero of the function is where the numerator is zero:

  4x = 0   ⇒   x = 0

The horizontal asymptote of the function is the value of 4x/x² when x tends to infinity. That value is zero. The equation of the horizontal asymptote is ...

  y = 0

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What is the answer to 9 + 5x = 6x + 4​
Tamiku [17]

Answer:

x=5

Step-by-step explanation:

9+5x=6x+4

  -5x  -5x

9=1x+4

-4      -4

5÷1=1x÷1

5=x

4 0
3 years ago
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What’s x in the question
Lina20 [59]

Answer:

x = 5/(a+3-b)

Step-by-step explanation:

ax+3x = bx+5

ax+3x-bx = 5

Take x as a common.

x(a +3 - b) = 5

x = 5/(a+3-b)

4 0
3 years ago
Given that is the angle bisector of A, determine the length of x. (SHOW YOUR WORK PLEASE!!!)
Sunny_sXe [5.5K]

The length of x will be 4 cm if is the angle bisector of A.

<h3>What is an angle bisector?</h3>

A straight line that splits an angle in a triangle into two congruent angles is known as the angle bisector.

Given sides;

AB=12

AE=8

BD=6

DE=x

From the triangle angle bisector theorem;

\rm \frac{BD}{DE} = \frac{AB}{AE} \\\\ \frac{6}{x} =\frac{12}{8} \\\\ x=4

Hence the length of x will be 4 cm.

To learn more about the angle bisector refer to:

brainly.com/question/12896755#SPJ5

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6 0
2 years ago
What is the perimeter, in units, of polygon UVWXYZ? Enter your answer in the box.
nikitadnepr [17]

Given:

Consider the below figure attached with this question.

To find:

The perimeter of the polygon UVWXYZ.

Solution:

All sides and vertical and horizontal. So, we can easily find the side lengths of the given polygon by counting the boxes between two points.

From the figure it is clear that,

UV = 9 units

VW = 2 units

WX = 3 units

XY = 3 units

YZ = 6 units

ZU = 5 units

Now, perimeter is the sum of all the sides.

Perimeter=UV+VW+WX+XY+YZ+ZU

Perimeter=9+2+3+3+6+5

Perimeter=28

Therefore, the perimeter of UVWXYZ is 28 units.

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3 years ago
Q # 7 please solve. the math
aleksandr82 [10.1K]
The first choice is the correct answer
12 in by 22 in by 4 in

the explanation is as shown in the figure
The dimension will be x , 20 - 2x , 30 -2x

the volume= v = x(20-2x)(30-2x) = 4x³ - 100x² + 600x
differentiating with respect to x and equating to zero
dv/dx = 12x² - 200x + 600 = 0
solve for x using calculator
x = 12.7 (unacceptable)   or x = 3.92 ≈ 4

∴ The dimension will be 4 , 12 , 22

7 0
3 years ago
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