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fomenos
3 years ago
5

Which function has a graph with a vertical

Mathematics
2 answers:
raketka [301]3 years ago
6 0

Answer:

f(x)=\frac{1}{x-7}-3, see the graph attached for a visual reference.

Step-by-step explanation:

Vertical asymptotes are only present in rational functions where the parent function f(x)=\frac{1}{x} has a vertical asymptote at the line x=0 and a horizontal asymptote at the line y=0. Because the vertical asymptote has to be x=7, the denominator must be x-7 in order for the denominator to equal 0. For the horizontal asymptote to be y=-3, then 3 must be subtracted from the rational function. Therefore, the function that has these asymptotes is f(x)=\frac{1}{x-7}-3.

Snezhnost [94]3 years ago
5 0
F(x) = 3 / (-3x - 3)

To find the vertical asymptotes, set the denominator of f(x) equal to zero.

-3x - 3 = 0

-3x = 3
x = -1

The vertical asymptote is
x = -1


To find the horizontal asymptotes, we examine the degree of the numerator and denominator of f(x). We use the leading terms to determine the degree. The leading term in the numerator is 7x0. The leading term of the denominator is -3x1. Since the exponent of x in the numerator is 0, the degree is 0 . Since the exponent of x in the denominator is 1, the degree is 1. The degree in the numerator is less than the degree in the denominator. Therefore, the horizontal asymptote is

y = 0

This also indicates that there are no x-intercepts.

To find the y-intercepts, set x=0.

The y-intercept is (0, -7/3).
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Andre is paid $12 per hour at his caddying job and $9.50 per hour working at a local fast food restaurant. He would like to keep
Fynjy0 [20]

The equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25

Let x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant.

Since he earn at least $275.00 a week, hence:

12x + 9.5y ≥ 275   (1)

Also, he can work no more than 25 hours, hence:

x + y ≤ 25   (2)

Therefore the equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25

Find out more at: brainly.com/question/25285332

5 0
3 years ago
4. Kevin has $24 to buy a gift for his cousin.
Roman55 [17]

Answer:  Yes, he would have enough money. In total he would spend  $23.10

Step-by-step explanation

Add 5% to the $24

4 0
3 years ago
What is being constructed based on the markings in the following diagram???
mamaluj [8]
Please include diagram.
7 0
3 years ago
Read 2 more answers
Un carro recorre 784 kilometros en una hora expresar la rapidez en m/sg
9966 [12]

Answer:

217.7777 m/s

Step-by-step explanation:

1km = 1000 metros

784 km = 784*1000 = 784000 metros

1 hora = 3600 segundos

entonces:

784 kilómetros en una hora = 784km/h = 784000m/3600ses

= 217.7777 m /s

es decir que recorre en cada segundo:

217.7777 metros.

Tarea relacionada:

https://brainly.lat/tarea/16056884

4 0
3 years ago
Information about five planets is shown in the table below.
Karo-lina-s [1.5K]

Answer:

(a)Jupiter

(b)24.4 km

(c)1.33 \times 10^{27}$ kg

Step-by-step explanation:

<u>Part A</u>

The planet with the greatest ma.ss is Jupiter.

It has a ma.ss of 1.898 X 10^{27}$ kg

<u>Part B</u>

The diameter of Mercury = 4.88 X 10

Radius = Diameter/2

Therefore:

Radius of Mercury

=\dfrac{4.88 X 10}{2}\\ =2.44 X 10\\=24.4$ km

<u>Part C</u>

M$a.ss of Saturn = 5.68 X 10^{26}\\$Mass of Jupiter = 1.898 X 10^{27}\\$Difference in their ma.ss =(1.898 X 10^{27})-(5.68 X 10^{26})\\=1.33 \times 10^{27}$ kg

4 0
3 years ago
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