Where are the asymptotes for the following function located? f (x) = StartFraction 7 Over x squared minus 2 x minus 24 EndFraction x = –4 and x = 6 x = –4 and x = 7 x = 4 and x = –6 x = 6 and x = 7

Answers

Answer 1

Answer:

x=-4 and x=6

Step-by-step explanation:

Factor the denominator of the equation and then set them equal to zero and you will get these answers.

Answer 2

The vertical asymptotes of the function f(x) = 7/(x² - 2x - 24) are found at x = 6 and x = -4, which are the values that make the denominator of the function equate to zero.

The function provided is a rational function, namely f (x) = 7/(x² - 2x - 24). To find the asymptotes for this function, we must identify the values of x that will make the denominator equate to zero, as these points result in undefined values within the function.

These points define the vertical asymptotes. To find these, we set the equation x² - 2x - 24 = 0 and solve for x. The solutions to this equation are the x-values of the vertical asymptotes.

By factoring the equation x² - 2x - 24 = 0, we get (x - 6)(x + 4) = 0. Therefore, the function will have vertical asymptotes at x = 6 and x = -4.

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Related Questions

The volume of a cone with a radius of 7 cm is 147 pi cubic centimeters. Which expression can be used to find h, the height of the cone?

147 pi = one-third (7) (h) squared
147 pi = one-third pi (7 squared) (h)
147 pi = one-third pi h
147 pi = one-third pi (7) (h)

Answers

Answer:

147 pi = one-third pi (7 squared) (h) 147 pi = one-third pi h

explanation:

Answer:

b. 147 pi = one-third pi (7 squared) (h)

Step-by-step explanation:

did test on e2021

PLEASE HELP ASAP IT IMPORTANT THAT I GET THIS RIGHT PLEASE

Answers

Answer:

x=12, both angles are 144°

Step-by-step explanation:

Since the angles are Z-angles (lookup 'alternate exterior angles') they are the same.

This means that 10x+24 = 6x+72, which can be simplified to

10-6x = 72-24

4x = 48

x = 12

Substitute x=12 in either expression and you get 144.

The seventh-grade spring class trip will either be to a zoo or an art museum. Which survey
method is most likely to provide a biased sample?
A. survey all of the seventh-grade students
B. survey every fifth seventh-grade student that arrives at school
C. survey 50 seventh-grade students whose names are chosen from an alphabetical list
D. survey those seventh-grade students who participated in this year’s art fair

Answers

Answer:

D. survey those seventh-grade students who participated in this year’s art fair

Step-by-step explanation:

The people who participated in the art fair will most likely want to go to the art museum, which is a biased result.

Answer:

it's d

Step-by-step explanation:

hope it helps :)

Pren recorded this data set, which contains an outlier. 204, 216, 111, 224, 230, 211, 210, 198, 200, 218 What numbers represent the range, lower quartile, and upper quartiles? range: 210.5 lower quartile: 200 upper quartile: 218 range: 14 lower quartile: 111 upper quartile: 198 range: 119 lower quartile: 218 upper quartile: 200 range: 119 lower quartile: 200 upper quartile: 218

Answers

The numbers that bes represent the range, lower quartile and upper quartiles is:

d. 200 range: 119 lower quartile: 200 upper quartile: 218.

What are the range, lower quartile, and upper quartiles?

Range:

Range = Maximum Value - Minimum Value

Range = 230 - 111

Range = 119

Lower Quartile (Q1):

Lower Half: 111, 198, 200, 204, 210

Median of Lower Half = (200 + 204) / 2 = 202

Upper Quartile (Q3):

Upper Half: 211, 216, 218, 224, 230

Median of Upper Half = (216 + 218) / 2 = 217.

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35% off $85.98. I'm having trouble with this.​

Answers

Answer:

$55.89

Step-by-step explanation:

To figure out the discounted price, you multiply the original price (85.98) by the percentage, (35% = .35) Then subtract that number, (30.093) from the original price to find the discounted price.

Answer:

$24.56

Step-by-step explanation:

85.98 / 35 = 2.456

2.456 x 10 = 24.56

What is the measure of QS?
84°

Answers

168 .................

The measurement of arc QS is 168 degree.

Now, Let the center of the given circle is O .

And central angle is double of the angle subtended by the arc.

So central angle is twice of 84 degree.

Hence, the measure of QS is,

= 2 x 84

= 168 degree

So, the central angle is of measurement 168 degree.

Therefore, The measurement of arc QS is 168 degree.

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If 2x – 3 + 3x = – 27, what is the value of x?

Answers

Answer:

x = -24/5

Step-by-step explanation:

2x – 3 + 3x = – 27

Combine like terms

5x -3 = -27

Add 3 to each side

5x-3+3 = -27+3

5x = -24

Divide each side by 5

5x/5 = -24/5

x = -24/5

Answer:

x= -24/5

Step-by-step explanation:

To solve, we need to get x by itself.

2x – 3 + 3x = – 27

Combine like terms

(2x+3x)-3= -27

5x-3=-27

Add 3 to both sides

5x-3+3=-27+3

5x= -24

Divide both sides by 5

5x/5= -24/5

x= -24/5

what two numbers give you the difference of 4 and the sum of 58?​

Answers

Answer:

46.4 & 11.6

Step-by-step explanation:

I just did some guess and check, but 46.4/11.6 = 4 and 46.4+11.6 = 58

The Pythagorean theorem states that if two side lengths of a(n) _____ triangle are known, the length of the third side can be found.

Answers

Answer:

right triangle

Step-by-step explanation:

What is the probability of an event that is impossible?

Answers

Answer:

0

Step-by-step explanation:

If the event is not possible it's not going to happen

Here is an inequality: -2x>10

Select all the values in the list for x that would make this inequality true

-10
-4
2
-6
-5
-8
0
-43

Answers

Answer:

The answer is -6, -8, -10 and -43.

Step-by-step explanation:

You can solve it :

-2x > 10

x < 10 ÷ -2

x < -5

(take note: you have to change symbol when it is divided by a negative no.)

Then choose the numbers from the options that satisfies the inequality, x < -5

Answer:

-10

-6

-8

-43

Step-by-step explanation:

(-2)*(-10)=20, 20>10

(-2)*(-4)=8, 8<10

(-2)*2=-2, -2<10

(-2)*(-6)=12, 12>10

(-2)*(-5)=10, 10=10, so it is not true

(-2)*(-8)=16, 16>10

(-2)*0=0, 0<10

(-2)*(-43)=86, 86>10

hope this helps :D

All of the following statements are true, except . . .
The product of b and c is positive.
The product of a and c is negative.
The product of b and 0 is 0.
The product of a and b is positive.

Answers

The only definite conclusion from the given information is that the product of b and c is positive, while the signs of a and b individually cannot be determined conclusively. Here option B is correct.

The product of a and c is negative: We cannot determine the signs of a and c individually, but from the given information, we can say that their product is negative. This is because the sum of a and c is 0 (a + b + c = 0), and b is positive.

If both a and c were positive or negative, their sum would be positive or negative, respectively. Therefore, one must be positive and the other negative for their sum to be zero.

The product of b and c is positive: As mentioned above, we know that b is positive and the product of a and c is negative. Since the sum of a, b, and c is zero, if b is positive and the product of a and c is negative, then the product of b and c must be positive to balance the equation.

The product of b and O is 0: This statement is always true because any number multiplied by zero is zero.

The product of a and b is positive: We cannot determine the signs of a and b individually based on the given information. As explained earlier, we only know that their sum is positive and the product of a and c is negative.

Therefore, the only statement that is guaranteed to be true based on the given information is that the product of b and c is positive. Here option B is correct.

In ΔEFG, the measure of ∠G=90°, FG = 2.3 feet, and EF = 6.4 feet. Find the measure of ∠F to the nearest degree.

Answers

this is super complicated

Answer:

69

Step-by-step explanation:

the inverse cosine of 2.3/6.4 is 69 degrees

A six-sided number cube is labeled with the numbers 1-6, one number on each face. Each number is used exactly once. How
many possible outcomes exist when the cube is rolled two times?
oooo
Save and Exit
Next
Submit
Mark this and return

Answers

Answer:

30 possible outcomes

Step-by-step explanation:

The total number of outcomes is found by multiplying the number of possiblities of each number cube together (6*6) which is 36.  You now need to remove the double, which there are six of them.  So subtract 6 from 36 to get 30.

There can 30 possible outcomes

Find the slope of the line that passes through (97,-54) and (-1, -15)

Answers

Answer:

The slope is -39/98

also known as m=-39/98

select the number like that matches the expression |-6-(-3)|

Answers

Answer:

3

Step-by-step explanation:

Firstly, do the numbers inside the absolute value bars.

-6-(-3)

The two negatives that are together turn to a addition sign.

-6+3

You can just subtract 6 and 3 which is 3 and add the - to it.

|-3|

The -3 turns to a 3 since the absolute value bars make all numbers positive within the bars.

Hope this helped.

What is the probability that in two rolls of a single die, a man will roll a 2 on the first roll and a number greater than five on the second?

(A) 1/3
(B) 1/6
(C) 1/12
(D) 1/18
(E) None of the above

I got; (E) None of the above. Because I got 1/36.
Is this correct?

Answers

Answer:

Step-by-step explanation:

I got A because the probability of rolling a 2 is 1/6 chance. Then the probability of getting a number greater than 5 is a 1/6 chance because there’s only one number bigger than five on a die. So I added them together got 2/6 and simplified down is 1/3

Answer:

That's right.

A 2 on the first roll means 1 possibility out of 6.

The only number greater than 5 in a dice is 6, therefore it's the same case from above.

1/6 on first roll

1/6 on second roll  

[tex]\frac{1}{6} * \frac{1}{6} = \frac{1}{36}[/tex]

Which value of x makes the following equation true?

3(x - 4) - 12 = 2(x - 6) + 5

Answers

Answer:

x = 17

Step-by-step explanation:

3(x - 4) - 12 = 2(x - 6) + 5

3x - 12 - 12 = 2x - 12 + 5

3x - 24 = 2x - 7

3x - 2x = -7 + 24

x = 17

Answer:

x=17

Step-by-step explanation:

3(x - 4) - 12 = 2(x - 6) + 5

Distribute

3x -12 -12 =2x-12 +5

Combine like terms

3x-24 = 2x -7

Subtract 2x from each side

3x-2x -24 =2x-2x-7

x-24 = -7

Add 24 from each side

x-24+24 = -7+24

x = 17

What do we do if the slope is a whole number ?

Answers

you’d treat it as if the denominator was 1 and the numerator is whatever number given

Answer: you convert it to a fraction

Step-by-step explanation: lets say the slope was 7 and you wanted to canovert it to a decimal

then you would make the denominator 1

so 7/1 which is equal to 7

hope this helps mark me brainliest if it helped

if i multiply a number by 3 and then subtract 4, the result is the same as adding 6 to twice the number. Find this number​

Answers

Final answer:

By setting up and solving the equation 3x - 4 = 2x + 6, we find that the number in question is 10. This process involves aligning the equation to solve for the variable x, representing the number we seek.

Explanation:

If we multiply a number by 3 and then subtract 4, the result is the same as adding 6 to twice the number. To find this number, we can set up an equation based on the given conditions.

Let's let the number be x. According to the first condition, multiplying x by 3 and then subtracting 4 can be represented as 3x - 4. According to the second condition, adding 6 to twice the number can be represented as 2x + 6.

The two expressions are equal, so our equation is 3x - 4 = 2x + 6.

Subtract 2x from both sides: x - 4 = 6.

Add 4 to both sides: x = 10.

Therefore, the number we are looking for is 10.

Given a term in a geometric sequence and the common ratio, find the explicit formula, a11=5120 ans r=-2

Answers

Answer:

[tex]U_n=5(-2)^{n-1}[/tex]

Step-by-step explanation:

Given a geometric sequence, the nth term of the geometric sequence is obtained by using the formula:

[tex]U_n=ar^{n-1}[/tex]

If the eleventh term, [tex]a_{11}=5120[/tex]

and the common ratio, r=-2.

Then:

[tex]5120=a(-2)^{11-1}\\a=\frac{5120}{2^{10}} =5[/tex]

The explicit formula for the sequence is:

[tex]U_n=5(-2)^{n-1}[/tex]

A pair of pants costs twice as much as a shirt. The total cost of 1 pair of pants and 1
shirt is $18. If s represents the cost of 1 shirt, which equation could you use to find the
cost of 1 shirt?

Answers

Answer:

The equation, or more accurately, the system of equations we can use is:

x + y = 18

2x = y

Step-by-step explanation:

Consider that the cost of the shirt was x.

Consider the cost of the pants to be y.

Then, you can say that 2x = y since twice the cost of the shirt would give you the cost of the pants which are represented by y.

The next piece of information can be used to form the equation x + y = 18 since the cost of a pair of pants and a shirt are, in total, $18.

We can use a system of equations to answer this.

2x = y

x + y = 18

Since y = 2x, use substitution.

x + 2x = 18

3x = 18    (Divide both sides by 3)

x = 6

x represents the cost of the shirt and thus, the shirt costs $6.

The equation, or more accurately, the system of equations we can use is:

x + y = 18

2x = y

Answer:

2s+1s = 18

3s = 18

Since the question asks for the equation

Step-by-step explanation:

Let s = cost of 1 shirt

Pants cost twice the price of 1 shirt

p = 2s

We are buying 1 pair of pants and 1 shirt for 18 dollars

2s+1s = 18

Combining like terms

3s = 18

Either equation can be used to solve

We can divide by 3 to solve for the cost of 1 shirt

3s/3 = 18/3

s = 6

What is the slope of the line on the graph below?

On a coordinate plane, a line goes through points (0, negative 5), (3, negative 4), and (6, negative 3).

Answers

Answer:

i think the answer is 1/3 but i'm not positive

Step-by-step explanation:

The slope of a linear line which is passing through the lines  (0,-5), (3, -4) , (6,3) is 1/3. The slope of a straight line is the ratio of y values of two points to the difference in x values of the two points.

What is slope ?

In mathematics, slope of a line describes the  steepness or inclination and the direction of the line. Slope of a line is calculated based on the characteristic of the line.

For straight line passing through some points, the x and y coordinates are related by the following expression:

y = mx +c

Where c is the intercept m be the slope.

For a line passing through two points, the slope m is :

m = y2 - y1 / (x2- x1)

Consider the line passing through the points (0, -5) and (3, -4). The slope m = -4 - (-5) / (3 - 0) = 1/3

Similarly if we consider the points (3, -4) and (6, -3)  we get the same slope 1/3.

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somebody pls answer this for me i will give you the brainliest

Answers

The total area of the parallelogram is 20 square inches

Calculating the area of the parallelogram

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

The parallelogram

The total area of the parallelogram is calculated using

Area = Base * Height

Measuring the side lengths of the parallelogram, we have

Base = 4 inches

Height = 5 inches

Using the area formula , we have the following:

Area = 4 inches * 5 inches

Evaluate

Area = 20 square inches

Hence. the total area of the figure is 20 square inches

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a triangle has vertices at (-1,5), (4,2), and (0,0). What is the perimeter of the triangle

Answers

The perimeter of the triangle is 15.4 units.

Step-by-step explanation:

The triangle has vertices at (-1,5), (4,2), and (0,0).

To find the perimeter of the triangle, you need to find the distance of the three points which is the length of the three sides of the triangle.

Let us consider the points as A (-1,5) and B (4,2) and C (0,0).

The distance formula is given by :

⇒ [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

Distance of AB :

A (-1,5) ⇒ (x1,y1)

B (4,2) ⇒ (x2,y2)

⇒ [tex]\sqrt{(4+1)^{2}+(2-5)^{2} }[/tex]

⇒ [tex]\sqrt{5^{2}+-3^{2} }[/tex]

⇒ [tex]\sqrt{25+9}[/tex]

⇒ [tex]\sqrt{34}[/tex]

⇒ 5.8

∴ The length of the side AB of the triangle is 5.8 units.

Distance of BC :

B (4,2) ⇒ (x1,y1)

C (0,0) ⇒ (x2,y2)

⇒ [tex]\sqrt{(0-4)^{2}+(0-2)^{2} }[/tex]

⇒ [tex]\sqrt{16+4 }[/tex]

⇒ [tex]\sqrt{20}[/tex]

⇒ 4.5

∴ The length of the side BC of the triangle is 4.5 units.

Distance of CA :

C (0,0) ⇒ (x1,y1)

A (-1,5) ⇒ (x2,y2)

⇒ [tex]\sqrt{(-1-0)^{2}+(5-0)^{2} }[/tex]

⇒ [tex]\sqrt{1+25}[/tex]

⇒ [tex]\sqrt{26}[/tex]

⇒ 5.1

∴ The length of the side CA of the triangle is 5.1 units.

Now, the perimeter of the triangle is given by :

Perimeter = Sum of the lengths of all three sides of the triangle.

⇒ 5.8 + 4.5 + 5.1

⇒ 15.4 units.

∴ The perimeter of the triangle is 15.4 units.

Help please I’m on a time limit

Answers

Answer:

I think that it is 295 degrees

Step-by-step explanation:

Pedro uses a coordinate system to map the locations of some tourist locations in a large city. Each grid unit represents 1 mile. Pedro wants to walk from the historic village to the science center. Then he will walk from the science center to the muesem. If he walks at speed of 2 7/10 miles per hour, how long will it take him. PLEASE ANSWER FAST

Answers

Answer:

5 hours

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

My answer:

Given that:

Each grid unit represents 1 mile Pedro's routes are: historic village => the science center => the museum Speed of 2 7/10 = [tex]\frac{27}{10}[/tex] miles per hour

and the given coordinates are:

historic village (-4 1/2, 5 1/4) = (-4.5, 5.25)

science center (-4 1/2, -1 3/4) = (-4.5, -1.75)

the museum (2, -1 3/4) = (2, -1.75)

=> The distance from historic village to the science center :

=[tex]\sqrt{(-4.5 -(-4.5))^{2} + (-1.75 - 5.25)^{2} }[/tex]  = 7

=> The distance from the science center to the museum:

= [tex]\sqrt{(2 -(-4.5))^{2} + (-1.75 - (-1.75))^{2} }[/tex] = 6.5

=> the total distance he travel is: 7 + 6.5 = 13.5 miles

The hours he traveled is: 13.5 miles /  [tex]\frac{27}{10}[/tex] miles per hour

= 5 hours

Please help :/ whoever answers I will put as brainpower answer ;)

Answers

Answer:

(x-9)^3

Step-by-step explanation:

so first you see "the cube" which means ^3 to whatever you are going to have

the difference means the answer of a subtraction equation

the the difference between "a number" (x) and 9 is (x-9)

then you see that when "adding" those together you get (x-9)^3

hope this helps

Which number is an integer?
-3/4
0
2.3
Square root

Answers

Answer:

0

Step-by-step explanation:

An integer is a whole number with no decimals.  0 is the only one.

Answer:the last answer is pi not square root

Step-by-step explanation:

4) The hospital and the fire department are 46 meters apart. From a window in the hospital,
the angle of elevation to the top of the fire department is 730. From the same window, the
angle of depression to the ground at the base of the fire department is 640. Find the height
of the fire department to the nearest tenth.

Answers

The height of the fire department is 244.72 m

Step-by-step explanation:

A)

Angle of elevation = 73°

The distance between the two buildings = 46 m

tan 73° = b/46

tan 73° = 3.27

tan 73° = b/46

3.27 = b/46

b = 3.27 x 46

b = 150.42 m

B)

Angel of depression= 64°

The distance between the two buildings = 46 m

tan 64° = a/46

tan 64° = 2.05

tan 64° a/46

2.05 = a/46

a = 2.05 x 46

a = 94.3 m

The total height of the fire department building = a + b

= 94.3 + 150.42

= 244.72 m

The height of the fire department is 244.72 m

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The Lones Star Republic, eastern part of Texas in 1845. Oregon in the northwest in 1846.The remainer of the Texas territory in 1848. Mexican Cession in the southwest in 1848. The Gadsden Purchase at the southern tip of New Mexico in 1853. This map shows the Western expansion of the United States.Map showing the goal, oil and coal resources by state. Georgia, Arkansas, Wisconsin, Minnesota, Montana, Colorado, New Mexico, Arizona, California, Washington and Alaska have gold. Pennsylvania, West Virginia, Ohio, Kentucky, Indiana, Illinois, Texas, Wyoming and Montana have coal. Louisianna, Texas, Oklahoma, Kansas, North Dakota, Wyoming and California have oil.This map highlights the different states that are rich in gold, oil, and coal resources. Some states have more than one natural resource.Describe events that explain the border differences between these maps. Use information from the maps and the lesson in your response. Use complete sentences.Besides land, what did the United States gain from expansion? Use information from the maps and the lesson in your response. Use complete sentences.Step Two: Answer the question below using the framework provided.People disagree whether the United States should have gone to war against Mexico. Should the United States have declared war? Consider information from the lesson and maps to explain your claim with at least two reasons.The United States _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ because _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _. A second reason is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.Step Three: Form your counterargument using the framework provided.Reporter McQuill mentions your claim will be stronger if you respond well to someone who disagrees with you. Use this framework to challenge a counterclaim.Even though some people think that _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _. Find the volume of a cone with a diameter of 40cm and a height of 40 cm. 15. Which of the following sentences is correct? (1 point)Es importante t estudies mucho.Es necesario que hacer ejercicio.Es mejor que la llames por telfono.Es bueno que nosotros quedarnos en un hotel. What is the only treatment item that is on both sides of the DD Form 1380 (TCCC) card? Carbon disulfide burns in oxygen to yield carbon dioxide and sulfur dioxide according to the chemical equation cs2() + 3 o2(g) co2(g) + 2 so2(g). if 1.25 mol of cs2 is combined with 0.57 mol of o2, identify the limiting reactant. A alocao dos custos das atividades aos produtos tem a premissa que so as atividades que consomem recursos e essas so consumidas por produtos e outros objetos de custo, em etapas essenciais para o projeto de implantao de um sistema ABC, mais especificamente, quando citamos a etapa que identifica os recursos consumidos em cada atividade e seus respectivos custos. Podemos definir esta etapa como:A. Identificar, definir e classificar as atividades e os atributos-chave.B. Atribuir o custo dos recusos s atividadesC. Indentificar os objetos de custo e especificar a demanda de cada atividade consumida por objeto de custo especifico.D. Calcular as taxas de atividades.E. Atribuir o cisto das atividades secundarias s atividades primrias