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Colt1911 [192]
3 years ago
12

What is the graph of the function f(x) = the quantity of x plus 2, all over x minus 3

Mathematics
2 answers:
Andrej [43]3 years ago
5 0

Answer:


Step-by-step explanation:

The given function is f(x)=\frac{x+2}{x-3} and we need to graph it.

In order to graph this function, we'll find below things:

Horizontal asymptote:

Since the degree of both numerator and denominator is same. Hence, the horizontal asymptote is the ratio of leading coefficient of numerator to the leading coefficient of  denominator.

Horizontal  asymptote is y = 1/1 = 1

Vertical asymptote:

Vertical asymptote occurs where the denominator is zero.

x-3=0\\x=3

x-intercepts:

For x-intercept, y = 0

\frac{x+2}{x-3}=0\\\\x+2=0\\x=-2

y-intercepts:

For y-intercept, x= 0

y=\frac{0+2}{0-3}=0\\\\y=-\frac{2}{3}

Using these, we can draw the graph of the rational expression.


oksano4ka [1.4K]3 years ago
4 0
f(x) = \frac{x + 2}{x - 3}

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A county's population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponential
aliina [53]
Let t=number of years since 1991.
Then 
P(t)=147 e^(kt)   ... in millions
P(0)=147 e^(0)=147
P(7)=147 e^(7k)=153
e^(7k)=(153/147)
take ln both sides
ln(e^(7k))=ln(153/147)
7k=0.0400 => k=0.005715

Year 2017=>t=2017-1991=26
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Answer: in 2017, the projected population is 170.55 millions.
6 0
3 years ago
Help me with this question please and thank you!!! :):)
kirill [66]

Answer:

A intersection B = ( elements which are common in both)

= ( 2,4,7,19)

A union B = ( all the elements which are either in A or in B).

= ( 2, 4, 7 , 13, 14, 19, 20 , 3, 5, 6, 10,11, 12 , 15,17 , 18 , 19 )

3 0
2 years ago
How many zeros are in the product of any nonzero whole number less than 10 and 500
worty [1.4K]

Answer:

If the non-zero whole number is even, then there are 3 zeroes

If the non-zero whole number is odd, then there are 2 zeroes

Step-by-step explanation:

* <em>Lets explain the information in the problem</em>

- Whole numbers are positive numbers, including zero, without

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- Nonzero whole numbers are positive numbers, not including zero

- The non-zero whole numbers less then 10 are:

  1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9

- The product of any nonzero whole number less than 10 and 500

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  number of zeros at the end of each of the factors.

# 1 × 500 = 5 × 100 ⇒ 2 zeros

# 2 × 500 = 2 × 5 × 100 = 10 × 100 ⇒ 3 zeros

# 3 × 500 = 3 × 5 × 100 = 15 × 100 ⇒ 2 zeros

# 4 × 500 = 2 × 2 × 5 × 100 = 2 × 10 × 100 ⇒ 3 zeros

# 5 × 500 = 5 × 5 × 100 = 25 × 100 ⇒ 2 zeroes

# 6 × 500 = 2 × 3 × 5 × 100 = 3 × 10 × 100 ⇒ 3 zeros

# 7 × 500 = 7 × 5 × 100 = 35 × 100 ⇒ 2 zeroes

# 8 × 500 = 2 × 2 × 2 × 5 × 100 = 4 × 10 × 100 ⇒ 3 zeros

# 9 × 500 = 3 × 3 × 5 × 100 = 45 × 100 ⇒ 2 zeros

- From all answers above:

# If the non-zero whole number is even (2 , 4 , 6 , 8), then there are

  3 zeros in the product

# If the non-zero whole number is odd (1 , 3 , 5 , 7 , 9), then there are

  2 zeros in the product

8 0
3 years ago
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<em>So, that means 3x - 1 = 3(1/3) - 1 = 0.</em>
6 0
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