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2 years ago

The graph of the function f(x)=6/x-3 is shown below. What is the vertical asymptote of the function

Mathematics

2 answers:

amm18122 years ago

6 0

Answer:

The vertical asymptote is $x=3$

Step-by-step explanation:

we know that

The vertical asymptote is the value of x that makes the denominator equal to zero:

In this problem we have

$f(x)=\frac{6}{x-3}$

$x-3=0$

Solve for x:

$x-3+3=0+3$

$x=3$

The vertical asymptote is $x=3$

see the attached figure to better understand the problem

lora16 [44]2 years ago

3 0

Answer:

d) x=3

Step-by-step explanation:

right on edge 2020

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A bus as speed of 20m/s begin to slow at constant acceleration of 8.00m/s2 along a straight line find the average speed for the

MrRissso [65]

Answer:

-20 m/s.

Step-by-step explanation:

The computation of the average speed is shown below:

Given that

The initial velocity of the bus, u = 20 m/s

Aceleration of the bus, -a = 8 m/s²

time of motion, t = 5 s

Now The final velocity of the bus is

v = u + at

v = 20 + (-8 × 5)

v = 20 - 40

v = -20 m/s.

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saveliy_v [14]

Answer:

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2 years ago

Read 2 more answers

The population of Luis’s city in 2005 was 7400 and the population in 2010 was 9000. Let x represent the number of years since 20

podryga [215]

Answer:

The linear equation is;

y = 320x + 7400

Step-by-step explanation:

Here, we want to write a linear equation that represents the population y at a year since 2005

To write this, we need points

Initially, we have (0,7400)

Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)

Mathematically, we can get the slope as follows;

m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320

The equation of the line can be represented using the general form as;

y = mx + b

where m is 320 and b is unknown

So we have the equation as;

y = 320x + b

we need to get b

To get b, we can use any point

let us use the point (0,7400)

substituting this;

7400 = 320(0) + c

c = 7400

so the equation is;

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2 years ago

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a red card

joja [24]

Answer: $\dfrac{3}{51}$

Step-by-step explanation:

Given : The total number of cards in a deck = 52

Number of red cards = 26

There are two types of red cards : diamond and heart.

Number of diamond cards = 13

The probability that the first card is a diamond :-

$\dfrac{13}{52}=\dfrac{1}{4}$

Since diamond is also a red card.

Now, the total cards left = 51

The number of red cards left = 12

The probability that the second card is a red card (without repetition) is given by :-

$\dfrac{12}{51}$

Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-

$\dfrac{1}{4}\times\dfrac{12}{51}=\dfrac{3}{51}$

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