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vagabundo [1.1K]
2 years ago
13

Two copies of the same Rational Function are shown below.

Mathematics
1 answer:
kvasek [131]2 years ago
4 0

The equation for the horizontal asymptote will be y = -2.

<h3>How to illustrate the information?</h3>

Since the degree of the numerator and denominator of f(x) is the same both being 1, therefore horizontal asymptote exists and is given by:

y = Leading coefficient of numerator of f(x) / Leading coefficient of denominator of f(x)

= y = -2/1

= y = -2

The vertical asymptote will be f(x) = -2x / (x + 3). To find the vertical asymptote we will equate the denominator of f(x) = 0

= x + 3 = 0

= x = -3

Learn more about asymptote on:

brainly.com/question/4138300

#SPJ1

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ZanzabumX [31]

Answer:

20m

Step-by-step explanation:

The rooms are 4m x 5m.

To find the area, multiply length by width: 4*5=20

8 0
3 years ago
5. Assuming that a is not equal to c, find the x-value of the intersection point of the lines y = ax +b and y = cx + d.
Ostrovityanka [42]

The x-value of the intersection point of the lines is ( d - b)/(a-c)

<h3>Intersection of lines</h3>

Given the equation of a line expressed as;

y = ax +b and;

y = cx + d.

Equating both lines, we will have:

  • ax + b = cx + d

Make x the subject of the formula:

ax - cx = d = b

x (a-c) = d - b

x = ( d - b)/(a-c)

Hence the x-value of the intersection point of the lines is ( d - b)/(a-c)

Learn more on intersecting lines here: brainly.com/question/2065148

7 0
2 years ago
Which number should each side of the equation 4/5x=8 be multiplied by to produce the equivalent equation of x=10?
kompoz [17]

Answer:

D

Step-by-step explanation:

(4/5)x*5=8*5

4x=40

4x/4=40/4

x=10

5 0
3 years ago
Find the points of intersection of the following function graphs: y=20x−70 and y=70x+30
LekaFEV [45]

Answer:

(-2,-110)

Step-by-step explanation:

First solve for x

20x−70=70x+30

x= -2

Now substitute x for -2

y=20x−70

y=20(-2)-70

y = -110

4 0
4 years ago
The tile along the edge of a triangular community pool needs to be replaced. A right triangles, where the hypotenuse is labeled
Anastaziya [24]

Answer:

C. 12x² + 8x + 25

Step-by-step explanation:

A. 12x² + 15

B. 20x² + 25

C. 12x² + 8x + 25

D. 24x² + 16x + 50

Hypotenuse = 8x²

Height = 4x² + 15

Base = 8x + 10

Perimeter of the triangle = hypotenuse + height + base

= 8x² + (4x² + 15) + (8x + 10)

= 8x² + 4x² + 15 + 8x + 10

Perimeter of the triangle = 12x² + 8x + 25

C. 12x² + 8x + 25

7 0
3 years ago
Read 2 more answers
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