Identify the vertical asymptote(s) of each function. Check all of the boxes that apply. f(x)=x-8/x^2-3x+2

x = -8

x = -2

x = -1

x = 1

x = 2

x = 8

Nevermind the answer was x=1 and x=2. If anyone is wondering how to do it you can put the denominator in desmos and where the 2 points hit the x axis is your answer.

Answers

Answer 1

Since the function is:
[tex] \frac{x-8}{ x^{2} -3x+2} [/tex]

Now factorize the denominator:
[tex]\frac{x-8}{ x^{2} -x-2x+2}[/tex]

[tex]\frac{x-8}{ x(x-1) -2(x-1 ) }[/tex]

[tex]\frac{x-8}{ (x-1) (x-2 ) }[/tex]

Now put the denominator equals to zero:

[tex] (x-1) (x-2 ) = 0[/tex]

Now take each one of them separately to find the vertical asymptotes:
[tex]x-1 =0, x-2=0[/tex]

Ans: So there are TWO asymptotes:
1) x = 1.
2) x = 2.

-i

Answer 2

Answer:

x=1 and x=2

Step-by-step explanation:

Related Questions

A town has a population of 2000 and grows at 4% every year what will be the population after 15 years to the nearest whole number

Answers

Answer:

3602

Step-by-step explanation:

Final answer:

The population of the town after 15 years will be approximately 3495.

Explanation:

To find the population of the town after 15 years, we need to use the formula for compound interest: A = P(1 + r)^t, where A is the final amount, P is the initial amount, r is the growth rate expressed as a decimal, and t is the number of time periods. In this case, P = 2000, r = 0.04, and t = 15.

Using this formula, we can calculate the population after 15 years:

A = 2000(1 + 0.04)^15

A = 2000(1.04)^15

A ≈ 2000(1.747422)

A ≈ 3494.84

Rounding to the nearest whole number, the population after 15 years will be approximately 3495.

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Which algebraic expression represent the phrase “ seven more than half of a number”?

Answers

[tex] \frac{1}{2}n[/tex] + 7

Hope this helps =)

Answer:

The given expression “ seven more than half of a number” can be written mathematically as [tex]7+\frac{1}{2}N[/tex]

Step-by-step explanation:

Given phrase “ seven more than half of a number”

We have to write the algebraic expression for the given phase.

Algebraic expression is the way of writing an expression in mathematical form using mathematical operations and variables.

Consider the given phrase “ seven more than half of a number”

Let the number be N,

Then half of number is [tex]\frac{1}{2}N[/tex]

and seven more means seven is added to this, the expresion becomes [tex]7+\frac{1}{2}N[/tex]

Thus, the given expression “ seven more than half of a number” can be written mathematically as [tex]7+\frac{1}{2}N[/tex]

Gustavo tested 1000 calculators to see if any were defective. The company claimed that the probability of a defective calculator was 1% per 1000 calculators. Gustavo found 15 defective calculators out of 1000.

What was the predicted frequency?

Predicted Frequency . . .

=(# of trials)(theoretical probability)
=(1000)(0.01)

The predicted frequency was ____
A: 1
B: 10
C: 100
D: 1000

What was the relative frequency?

Relative Frequency = Observed Frequency/Total Number of Trails

The relative frequency was _____
A: 0.15%
B: 1%
C: 1.5%
D: 15%

Answers

We are to find the predicted and relative frequency of the defective calculators.

a) The company claimed that there is 1% probability of defective calculators out of 1000.
So predicted frequency = 1% of 1000
= 0.01 x 1000
= 10

b) 15 defective calculators were found in 1000 calculators.
Relative Frequency = Observed Frequency / Total Number
= 15/1000 x 100%
= 1.5%

ITS 10

Then 1.5% thank this

Please help me solve for r

Answers

Add the opposite of any terms that don't have r.
.. K +7s = 4r

Divide by the coefficient of r.
.. (K +7s)/4 = r

Solve the following system of equations using matrices.
4x – 2y = -6
3x – 6y = -18

(40, 90)

(3, 0)

(0, 3)

(-6, 18)

Answers

It is convenient to let a calculator do the math.
.. (x, y) = (0, 3) . . . . . your 3rd selection

_____
I prefer using the RREF function to put the augmented matrix into reduced row-echelon form. If the equations are dependent or inconsistent, using that method tells you so without giving a matrix inversion error.

PLEASE HELP ME!!!!!!!!!

Answers

The answer is “The speed of a car increases Constantly by 10 miles” and “The radioactivity of a substance decreases by 10 every year” last one is “ The amount of money in an account decreases for a few months and then increases”

Hope that helped! :)

Which graph shows the equation y = x + 2?

Answers

there ya go. your graphs should have this as one of the answers

kelly ran 2 miles and burned 240 calories. the next day she ran 3 miles and burned 360 calories. the next day4 miles and 480 miles. if this pattern continues, how
many calories will she burn if she runs 8 miles?

Answers

Kelly burns 120 calories per every mile she runs ( 240/2 = 120, 360/3 = 120, etc.).

120 calories x 8 miles = 960 calories

Kelly will burn 960 calories if she runs 8 miles.

Answer:

She will burn 960 calories if she runs 8 miles

Number of security staff = a over 100 if a audience, is 10500, how many security staff are needed for the event

Answers

Substituting for "a" in the formula, we have
.. Number of security staff = 10500/100 = 105

Question 11 options: you take a ride on a ferris wheel which has a diameter of 300 feet. if you ride for four revolutions, what linear distance did you travel? use 3.14 for pi when completing your calculations. round your answer to the nearest whole number, if necessary. the distance traveled is

Answers

is there a slope/graph here?

Please help me it's homework.

Answers

Left Side
=======
2 faces of 2 * 8 = 32
2 faces of 2 * 7 = 28
2 faces of 7 * 8 = 112
Total = 172

Right Side Prism
=========
2 faces of triangles 1/2 * 7.2 * 4.8 = 34.56
1 bottom face of 7.2 * 10 = 72
2 slanted faces 6 * 10 = 120
Total 34.56 + 72 + 120 = 226.56

I'm in need of Brainlys. If this answer suits you can you award one if it is possible for you to do.

HELP! ASAP!
What is the measure of ∠A?

What is the measure of ∠B?

Answers

The opposite angles of a parallelogram are equal.
Therefore
m∠A = m∠C, so that
5y - 3 = 3y + 27
Subtract 3y from each side.
5y - 3y - 3 = 3y - 3y + 27
2y - 3 = 27
Add 3 to each side.
2y - 3 + 3 = 27 + 3
2y = 30
y = 30/2 = 15

Therefore
m∠A = 5*15 - 3 = 72°
m∠C = 72°

Let x = m∠B
Then x = , m∠B = m∠C
Because the sum of the angles in the parallelogram is 360°, therefore
x + x + 72 + 72 = 360
2x = 360-144 = 216
x = 216/2 = 108

Answer:
m∠A = 72°
m∠B = 108°

Answer:

What is the measure of ∠A?

72°

What is the measure of ∠B?

108°

Step-by-step explanation:

I literally copied and pasted from edge

You are preparing to tile the floor of a rectangular room that is 15.5 feet by 18 feet in size. The tiles you plan to use are squares, measure 12 inches on each side, and are sold in boxes that contain enough tiles to cover 25 square feet. Each box costs $30.

To determine the cost of materials you multiply 15.5 by 18, divide by 25, round up to the next whole number, and multiply by 30. Is this correct?
A) Yes.
B) No, you need to round down and then multiply by 30.
C) No, you need to round down and then multiply by 144.
D) No, you need to divide by 144, round up, and then multiply by 30.
E) No, you need to divide by 144, round down, and then multiply by 30.

Answers

Final answer:

To find the cost of tiling the room, you have to calculate the area in square feet, convert tile size to the same units, calculate how many boxes needed and round up, then multiply by the cost per box. The correct answer is D).

Explanation:

The correct answer is D). The process to determine the cost of the tiles needed to cover the room starts with calculating the area of the room in square feet. This is done by multiplying the room's length and width, so 15.5 feet * 18 feet which equals 279 square feet.

The tiles are 12 inches in size on each side, but the dimensions of the room are in feet. Therefore, we need to convert the tile size to square feet. Since 1 foot = 12 inches, 1 square foot = 144 square inches. Our tile is 12 inches * 12 inches = 144 square inches, which equals 1 square foot.

However, the tiles are sold in boxes that cover 25 square feet. So, we will divide the total room area by the area covered by one box of tiles. 279 square feet / 25 = 11.16 boxes needed, approximately.

It's important to round up at this stage, as you can't buy a fraction of a box. So, you'd need 12 boxes.

The last step is to calculate the total cost, which is done by multiplying the number of boxes by the cost of each box. So, 12 * $30 equals $360.

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The volume of a sphere is 3,000π m3. What is the surface area of the sphere to the nearest square meter? 165 m2 2,158 m2 1,079 m2 37,699 m2

Answers

To solve this problem and calculate the area of the sphere, you must apply the following formulas:

Formula N° 1:

V=4/3(πr³)

V is the volume of the sphere (V=3,000π m³).
r is the radius.

Formula N° 2:

A=4πr²

A is the area of the sphere.
r is the radius.

As you can see, you don't have the value of the radius "r". So, you must rewrite the Formula N° 1, and clear "r":

V=4/3(πr³)
(3,000)(3)=4πr²
r³=9,000/4π
r=(9,000/4π)^1/3
r=13.1037 m

Then, to calculate the area of the sphere, you must substitute the value of "r" into the Formula N° 2:

A=4πr²
A=4π(13.1037)²
A=2,158 m²

What is the surface area of the sphere to the nearest square meter?

The answer is: 2,158 m²

Use the number line to find the ratio AC/CF simplify the ratio

A. 8/20
B 2/5
C 8/12
D 2/3

Answers

the answer is B. 2/5
it would originally be 8/20 but simplified it 2/5

Answer:

The correct option is D.

Step-by-step explanation:

From the given number line it is clear that A=0, B=2, C=8, D=14, F=20 and G=22.

The length of line segment AC is

[tex]AC=C-A=8-0=8[/tex]

The length of line segment CF is

[tex]CF=F-C=20-8=12[/tex]

The ratio of line segment AC to CF is

[tex]\frac{AC}{CF}=\frac{8}{12}[/tex]

Cancel out the common factors.

[tex]\frac{AC}{CF}=\frac{2}{3}[/tex]

The simplified ratio of [tex]\frac{AC}{CF}[/tex] is 2/3.

Therefore the correct option is D.

Jeannette earns $3.50 per hour and 4% commission on the gross amount of
her sales. How much did she earn the week she worked 35 hours and sold
$4,550 worth of merchandise?
a. $304.50
b. $182
c. $186.90
d. $122.50

HELP ASAPPP

Answers

[tex]3.5 \times 35 = 122.5 \\ \%4 \: of \: 4550 = 182 \\ 122.5 0+ 182 = 304.50[/tex]
so A is true

Mr Savage used 3 gallons of paint to cover 1,350 square feet of wall space. At this rate, how much paint will be needed to cover 1,800 square feet

Answers

This problem is solved using a rule of three

we know that
Mr Savage used 3 gallons of paint to cover--------------> 1,350 square feet
X--------------------------------------------------------------------> 1,800 square feet
X=1800*3/1350=4 gallons

the answer is 4 gallons

2.1 + (–3.7h) + 1.9h – 1.4

Answers

-1.8h-0.7 You combine like terms.

To solve for h, we need to simplify.

2.1 - 3.7h + 1.9h - 1.4 = 0
0.7 - 1.8h = 0
1.8h = 0.7
h = 0.38888....

Find the smallest possible set (i.e., the set with the least number of elements) that contains the given sets as subsets. {jill, john, jack}, {susan, sharon}

Answers

{Jill, John, Jack, Susan, Sharon}
Subsets make up the main set, so basically combine the subsets together.

The smallest possible set that contains the given sets as subsets is,

⇒ {jill, john, jack, Susan, sharon}

What is mean by Subsets?

A set 'A' is a subset of another set 'B' , if all the element of the set A are element of set of 'B'.

Given that;

The subsets are;

⇒ {jill, john, jack} , {Susan, sharon}

Now,

Clearly, A subsets of a set is contain all the elements of subsets.

So, We get the set;

Set = {jill, john, jack, Susan, sharon}

Thus, The smallest possible set that contains the given sets as subsets is,

⇒ {jill, john, jack, Susan, sharon}

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What is value of x?
https://static.k12.com/nextgen_media/assets/8093716-NG_GMT_SemB_08_UT_12.png

Answers

check the picture below.

The calculated measure of the angle x is 76 degrees

How to determine the measure of the angle x

From the question, we have the following parameters that can be used in our computation:

The figure

Also, we have

Angle with a measure of 76 degrees

By the theorem of corresponding angles, we have

x = 76

Hence, the measure of the angle x is 76 degrees

Answers

Associative Property of Addition
(3x + 4) + [(5x2 - 1) + (2x + 6)]

As given in the definition below, to make it an associative property, we can change the bracket

[(3x + 4) + (5x2 - 1)] + (2x +6)

Your answer will be the third option :)

It's C.

Trust me, I had trouble figuring out this answer...

A _____ is a type of variable that is not accounted for in a research experiment.
a. independent variable
b. dependent variable
c. confounding variable

Answers

The confounding variable.

C. Confounding variable

The image of a figure is shown. What are the coordinates of X in the pre-image of the figure if the rule that created the image was T–5.2, 1.4(x, y)? PLEASE ANSWER

X =
a. (-7.2, 3.4)
b. (1.2, 6.6)
c. (3.2, 0.6)
b. (9.2,-0.4)

Answers

The answer is C. The image of X is (-2, 2) according to the graph. The rule of translation is (-5.2, 1.4). Suppose the pre-image of X is (a,b). Then (a,b)+(-5.2,1.4)=(-2,2). a-5.2=-2, a=3.2. b+1.4=2, b=0.6. So (a,b) is (3.2, 0.6), before the translation occurs.

I agree the answer is C)

Hope this somewhat helped! :)

Use the quadratic formula to solve for the roots of the following equation. x 2 – 4x + 13 = 0

Answers

By using the quadratic formula, the roots of the equation are,

⇒ x = 2 ± (√3/2) i

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The quadratic equation is,

⇒ x² - 4x + 13 = 0

Now, By using the quadratic formula, the roots of the equation are,

⇒ x² - 4x + 13 = 0

⇒ x = - (- 4) ± √ (- 4)² - 4×1×13 / 2

⇒ x = 4 ± √16 - 52 / 2

⇒ x = 4 ± √- 36 / 2

⇒ x = 4 ± √6 i / 2

⇒ x = 2 ± (√3/2) i

Thus, We get;

⇒ x = 2 ± (√3/2) i

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Final answer:

The roots of the quadratic equation x² - 4x + 13 = 0 are complex numbers, specifically 2 + 3i and 2 - 3i, obtained through applying the quadratic formula.

Explanation:

To solve the quadratic equation x² – 4x + 13 = 0 using the quadratic formula, we first identify a, b, and c from the equation. Here, a=1, b=-4, and c=13. The quadratic formula is ‘x' equals minus ‘b’, plus-or-minus the square root of ‘b’ squared minus four ‘a’ ‘c', all over two 'a'. Applying these values, we get:

x = – (-4) ± √((-4)² – 4(1)(13)) / (2)(1)

This simplifies to:

x = 4 ± √(16 – 52) / 2

x = 4 ± √(-36) / 2

Since the square root of -36 is 6i (where i is the imaginary unit √(-1)), the solutions are:

x = (4 ± 6i) / 2

x = 2 ± 3i

Therefore, the roots of the equation are 2 + 3i and 2 - 3i, which are complex numbers.

Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.

Sample Response: A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand. Using a calculator might also be more time efficient because it might accept a line in any form. A calculator’s window can be adjusted quickly instead of having to redraw a graph by hand when adjusting the scale.

Answers

In addition, from the response shown, using a graphical calculator brings the following benefits:
1) You can write the system of linear equations as big as you want. This is: systems 3 * 3, 4 * 4, 5 * 5.
2) The response to systems of equations greater than 2 * 2 can be complicated when you graph the solution, therefore, the graphing calculator can be much more efficient in these cases.
3) You can write the linear equations in any way. Resolving by hand you should probably rewrite the system of equations to find the solution.

Which linear function has the greatest y-intercept?

A) x + 6y = 36

B) y = 15x + 5

C) 3x + 8y = 24

D) y = 4x + 7

Answers

I believe the answer is D).

Answer:

the answer is y=4x+7

Step-by-step explanation:

How could the relationship of the data be classified? (1 point)

scatter plot with points loosely scattered going down to the right

Answers

Scatterplots are a useful way of visualizing statistical data and to draw some quick conclusions from the data. Each scatterplot is unique but there are some common trends about association of the 2 variables that can be applied. In a scatterplot with an upward trend, we would say that the variables have a positive association or that they have a positive correlation. When one variable increases, the other increases too (in general). If the plot has a downward trend, we talk of a negative association. Finally, there could also be no association, with plot points scattered all around. Thus, in this case, we have negative correlation. If there is anything else you need regarding this answer, comment.

Find the exact value of sin ( 2
a. if cos a = 3 /5 . assume a is a quadrant i angle in standard position.

Answers

In a right angled triangle 'efg' cos a = 3/5
From Pythagoras theorem the third side will be 4
cos a =3/5
sin a =4/5
sin 2a =2 x 4/5
sin 2a= 8/5

Debra is on the swim team. Each week she swims a total of 7000 meters. How many kilometers does she swim each week?

Answers

Hm 7 meters is it kilometers...7 kilometers

Jeremiah scored 28 points in yesterday's basketball game. He made a total of 17 baskets. Some of the baskets were field goals (worth two points) and the rest were free throws (worth one point). How many field goals did Jeremiah make? How many free throws did he make?

Answers

Had all of Jeremiah's baskets been field goals, his score would have been 34 points. Since it was 6 points less, he must have made ...
.. 6 free throws, hence 11 field goals.

Answer:

6 and 11

Step-by-step explanation:

Other Questions

please help !!!from The Canterbury Tale, "The Wife of Baths Tale"14. Based on the character of the Wife of Bath and her tale, what do you think was Chaucers perspective on the state of women and their condition? Women were smart and worthy of the same authority as men.Women needed to set an example of piousness for men.Women were angelic creatures who could not harbor lust or vice.Women were too often victims of abuses by their husbands. Cause and effect what effect did the Texans defense of the Alamo have on Texas fight for independence List one advantage and one disadvantage of the family unit in jonas's community as compared to the family as we know it in our society. Give the correct balanced equation for the single replacement reaction of magnesium with aluminum oxide. A)Mg + AlO MgO + Al B)Mg + Al2O3 MgO + Al C)3Mg + Al2O3 3MgO + 2Al D)Mg + Al2O3 MgO3 + Al2 Select the sentence with the best positive emphasis.a. we will complete the process audit by friday.b. because of joan's inaccurate figures on the haymen project, we have not finished the process audit.c. we failed to complete the process audit on time.d. we haven't completed the process audit.e. the process audit was delayed due to operational reasons. What occurs over time as a result of inflation? Check all that apply. Which of the following cultural elements would you cite as evidence of Chinese influence in Korea? Select all that apply. military hierarchy woodblock printing feudal society development of Shinto written language civil serviceselect 3 Which of Indias regions is the most highly populated The sides of a triangle are 7, 4, n. If n is an integer, state the largest and smallest possible values of n. Sia sells large candles for $3 each and small candles for $2 each. She sold 17 candles for $46.00. How many of each size candle did she sell? There are 18 girls and 12 boys in class. What is the probability that a new kid in senior class will be a boy? how many grams of ammonia would be formed from the complete reaction of 4.50 moles hydrogen x + y = 21 3y + x = 19 Which value of x is part of a solution to this system of equations? What types of figurative language and imagery are used in the poemSimile? Read the passage and answer the question. [1620] . . . so as there died sometimes two or three of a day, in the foresaid time; that of one hundred and odd persons, scarce fifty remained. And of these in the time of most distress, there was but six or seven sound persons, who, to their great commendations be in spoken, spared no pains, night nor day, but with abundance of toil and hazard of their own health, fetched them wood, made them fires, dressed them meat, made their beds, washed their loathsome clothes, clothed and unclothed them; in a word, did all the homely and necessary offices for them which dainty and queasy stomachs cannot endure to hear named; and all this willingly and cheerfully, without any grudging in the least, showing herein their true love unto their friends and brethren. In the above passage, which word best describes how Bradford feels about the caretakers of the ill? Which of the following injuries can be life threatening? head injuries neck injuries back injuries all of the above el verbo to be y los pronombres personales en ingles What were the strengths and weaknesses of wilson's vision for postwar world? Find the area of the figure. PLEASE HELP FAST!!According to the density profile shown here, at which depth would you find the coolest, saltiest waters?A. depth BB. depth AC. depth CD. You cannot tell from this graph