All categories

2 years ago

What are the vertical asymptotes of the function f(x) = the quantity of 2 x plus 8, all over x squared plus 5 x plus 6?

Mathematics

2 answers:

Gre4nikov [31]2 years ago

8 0

Answer:

Step-by-step explanation:

Alright, lets get started.

The given rational function is :

$f(x)=\frac{2x+8}{x^2+5x+6}$

For finding the vertical asymptotes of a rational function, we must set the denominator equal to zero.

So, equaling denominator to zero :

$x^2 +5x+6 = 0$

factoring

$(x+3)(x+2)=0$

This will give two values of x

$x=-3, x=-2$

So, these two are vertical asymptotes : Answer

Hope it will help :)

lutik1710 [3]2 years ago

6 0

You'd find the vertical asymptotes by seeing where the denominator equals zero; you can do so by factoring the denominator.
In this case, you can factor the denominator into (x+3)(x+2), so if you set each of those equal to zero you can find the equations of the vertical asymptotes (x=-3 and x=-2).

You might be interested in

What is the difference between the smallest six digit number and the greatest four digit number

drek231 [11]

The smallest (whole number ) 6 digit number is 1,000,000
The greatest (whole number 4 digit number is 9,999
The difference between them means to subtract the four digit number from the 6 digit number.
The difference is 990,001

I would not consider 000001 to be a 6 digit number (in case this is supposed to be a trick question.)

6 0

3 years ago

Read 2 more answers

1 . fraction bar a fraction in which the numerator is smaller than the denominator 2 . numerator the number under the fraction l

11Alexandr11 [23.1K]

Answer:

The number under the fraction line tells how many equal parts the whole was broken into

8 0

1 year ago

What is the perimeter of the triangle shown on the coordinate plane,to the nearest tenth of a unit ?

ollegr [7]

Answer:

25.6 units

Step-by-step explanation:

From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).

First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:

$d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}$

where

$(x_1,y_1)$ are the coordinates of the first point

$(x_2,y_2)$ are the coordinates of the second point

- For AB:

$d=\sqrt{[1-(-5)]^{2}+(4-4)^2}$

$d=\sqrt{(1+5)^{2}+(0)^2}$

$d=\sqrt{(6)^{2}}$

$d=6$

- For BC:

$d=\sqrt{(3-1)^{2} +(-4-4)^{2}}$

$d=\sqrt{(2)^{2} +(-8)^{2}}$

$d=\sqrt{4+64}$

$d=\sqrt{68}$

$d=8.24$

- For AC:

$d=\sqrt{[3-(-5)]^{2} +(-4-4)^{2}}$

$d=\sqrt{(3+5)^{2} +(-8)^{2}}$

$d=\sqrt{(8)^{2} +64}$

$d=\sqrt{64+64}$

$d=\sqrt{128}$

$d=11.31$

Next, now that we have our lengths, we can add them to find the perimeter of our triangle:

$p=AB+BC+AC$

$p=6+8.24+11.31$

$p=25.55$

$p=25.6$

We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.

6 0

3 years ago

Import customs officials sometimes randomly select crates of cargo for close, but time-consuming, inspection. Suppose there are

Ostrovityanka [42]

The simple random sample is Cherryport, Dallhoise, Foxwood, and Sapphire.

What is the meaning of probability in math?

Probability is simply how likely something is to happen.
Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
The analysis of events governed by probability is called statistics.

Three Types of Probability

Classical: (equally probable outcomes) Let S=sample space (set of all possible distinct outcomes).
Relative Frequency Definition
Subjective Probability.

the list of random digits from left to right, starting at the beginning of the list.

74803 12009 45287 71753 98230 66419 84533 11793 04951 20597 11384

The simple random sample is Cherryport, Dallhoise, Foxwood, and Sapphire.

Learn more about probability

brainly.in/question/20798570

#SPJ4

4 0

1 year ago

How many solution does this equation have

eimsori [14]

The equation has 1 solution

4 0

3 years ago

Read 2 more answers