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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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Grace has a 15 inch diameter bicycle tire. How many revolutions will it make traveling 500 feet?
Brums [2.3K]

Answer:

Revolution = 127.24 revolutions

Step-by-step explanation:

<em><u>Circumference of the tire = πD</u></em>

Where D = 15 inch

So,

C = 15π = 47.1 inch

<u><em>In feets:</em></u>

47.1 inch = 3.93 feet.

So, <u>one revolution = 3.93 feet</u>

<u><em>Travelling 500 feet will make the following revolutions:</em></u>

Revolution = 500 feet/3.93 feet

Revolution = 127.24 revolutions

5 0
3 years ago
Please help me out and show work
lina2011 [118]

Answer:

s(x)=\frac{0.2}{x+5}

Step-by-step explanation:

In 5 liters, there is 4% salt.

Lets find liters of salt.

First, converting 4% to decimal (dividing by 100):

4% = 4/100 = 0.04

0.04 * 5 = 0.2

So, there is 0.2 liters of salt.

Now, x liters of water is added to total, so total is now:

5 + x

The concentration of salt will be amount of salt divided by amount of salt water solution.

Amount of salt = 0.2 (as seen above)

Amount of new salt water solution = x + 5

So,

Concentration of salt in new solution is  \frac{0.2}{x+5}

2nd choice is right.

4 0
3 years ago
A floor is made up of 20 triangular tiles, each with sides 40 cm, 24 cm and 32 cm. Find the cost of polishing the floor at the r
pochemuha

Answer:

15360\,\,rupees

Step-by-step explanation:

Let sides of the triangle be a,b,c

a=40\,,\,b=24\,,\,c=32

Semi-perimeter (s) = \frac{a+b+c}{2}

=\frac{40+24+32}{2}\\ =\frac{96}{2}\\=48

Area of one tile =\sqrt{s(s-a)(s-b)(s-c)}

=\sqrt{48(48-40)(48-24)(48-32)}\\ =\sqrt{48(8)(24)(16)}\\ =\sqrt{147456} \\=384\,\,cm^2

So,

Area of 20 tiles =20(384)=7680\,\,cm^2

Cost of polishing the floor at the rate of 2 rupees per sq.cm = 7680(2)=15360\,\,rupees

7 0
3 years ago
SImplify the equation .. PLS HELP ME
Georgia [21]

Answer:

reeee

Step-by-step explanation:

6 0
2 years ago
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The amounts that two partners invested in a new business are given in the table above. If the partners share the profits in the
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