Use the graph of the function,

f(x)=x-1/x^2+5x+6

to identify the function's
vertical asymptotes.

a. x=-1, x= 6
b. x=1, x=-6
c. x=-2, x=-3
d. X= 2, x= 3

Answers

Answer 1

Answer:

c.    x = -2  or x = -3

Step-by-step explanation:

The vertical asymptotes occur where the denominator = 0.  That happens when the f(x) is undefined.  So,

x^2 + 5x + 6 = 0

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

x = -2  or x = -3


Related Questions

I need help with these

Answers

Answer:

1. − 5/4

2. 77/3

Step-by-step explanation:

SO SORRY IF THIS IS WRONG!! T^T

Someone answer this please

Answers

Answer:

[tex] 1,334.5 \: {cm}^{3} [/tex]

Step-by-step explanation:

Height of the cylinder h = 17 cm

Radius of the cylinder r = 5 cm

[tex]V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(5)}^{2} \times 17 \\ \\ = 3.14 \times 25 \times 17 \\ \\V_{cylinder} = 1,334.5 \: {cm}^{3} [/tex]

9+2+4+6+123=?
please help

Answers

Answer:

144

Step-by-step explanation:

9+2+4+6+123=

11+10+123
21+123
144

Plz show the work.........

Answers

Answer: 32A

Step-by-step explanation: KYXS

The ratio of sweaters to dresses that Susan has is 7:2. If Susan has 14 dresses then how many sweaters does she have?

Answers

Answer:

4 sweaters

Step-by-step explanation:

If the ratio is 7:2, then 14//7 = 2

2x2=4

Write 25 4 as a mixed number.

Answers

Answer:

6 1/4

Step-by-step explanation:

The number 6 with 1/4

so basically see how many times 4 goes in to 25 which is 6 times then take the remainder which is one so 6 1/4

Can i be Brainliest

10,14,18,22,26 find the 12 term of the sequence​

Answers

Answer:

30,34,38,42,46,50,54,58,62,66,70

In 1965, the population of a country was 192 thousand to 3 significant figures.

In 2020, the population of that country was 366 thousand to 3 significant figures.

Work out the percentage increase in population. Give your answer correct to 2 significant figures.

Answers

The percent change in population is 90.65%.

What is percent?

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given population of country in 1965 = 192 thousand = 1,92,000.

population of country in 2020 = 366 thousand = 3,66,000

the increase in population is = 366000 - 192000 = 1,74,000

the percentage increase =  (100)(increase in population)/(1965 population)

the percentage increase = (100) (174000)/(192000)

the percentage increase =  90.625%

Hence the percent increase is 90.62%.

Learn more about percent;

https://brainly.com/question/28840349

#SPJ1

[tex]if \: x = 1 - \sin( \alpha ) \: and \: y = 1 + \cos( \alpha ) \\ [/tex]
Express y in terms of x and alpha only

Answers

Answer:

A sample of helium was compressed at 35 °C from a volume of 0.5 L

to 0.25 L where the pressure is 500 mmHg. What was the original pressure?

Step-by-step explanation:

5.4 ⋅ 103 to standard form.

Answers

5.4 * 10^3=5,400 is your answer

ratiearbiteracy
toen we zui
ii
Ghics12
The average inflation rates for the period 2016 to 2017 are shown in the following iable.
2017
1 2018
Average Inflation rate 4,51%
6,59%
Cost of a brown bread
R9.99
A
8.1.1
Explain the meaning of the term inflation rate.
8.1.1
Calculate the cost of a loaf of brown bread in 2017 by using the average
inflation rates that are given in the table above.
ON NO: 3
: MAPS AND SCALES
ensure Learners know the following:
IBER/RATIO SCALE​

Answers

Explanation

Sorry but You gone have to higher the price for this, this is a big question.

In a equation is it true that when a variable is alone you have to add a number 1 to it?

I’m wondering since I have to add it to my notes.

Answers

You don’t necessarily have to add a one to it, the one just signifies that there is one of that there, but if you just put the variable that will also mean that you just have one of that. It works either way

Write a fraction that is equivalent to 5/6

Answers

Answer:

10/12 , 15/18 , 20/24 ...etc

Calculate the perimeter of a square with side 12cm

Answers

Answer: 48 cm

Step-by-step explanation:

12 + 12 + 12 + 12 = 48

The answer is 48 bc 12x4 equals 48

Please help me. It would be greatly appreciated

Answers

Answer:

11a) x=18

11b) 6x=108

11c) 4x=72

Step-by-step explanation:

11a) A line is equal to 180 degrees. Therefore, 6x and 4x have to add up to be 180.

6x+4x=180

10x=180

x=18

11b) We know what x is so we have to plug x into the expression. 6x=6(18)=108. 6x=108

11c) We know what x is so we have to plug x into the expression 4x=4(18)=72

4x=72.

If this helps please mark as brainliest

what fraction is 40 minutes of 8 hours

Answers

40 minutes of 8 hours as a fraction is 1/12.

What is fraction?

Fractions represent the parts of a whole or collection of objects. A fraction has two parts namely numerator (upper part) and denominator (lower part).

Given are 40 minutes to 8 hours.

We can write -

(40 minutes/8 hours)

{40 minutes/(8 x 60)}

(40/480)

1/12

Therefore, 40 minutes of 8 hours as a fraction is 1/12.

To solve more questions on fractions, visit the link below -

https://brainly.com/question/10354322

#SPJ1

Me jay bought a television for 9560, he used it for some years and later sold it at a profit of 1439. Find his selling price

Answers

Answer:

10999

Step-by-step explanation:

9560 + 1439 = 10999

Thenks and mark me brainliest :)

Five more than a number is greater than 26

Answers

x + 5 > 26
x > 21

The number is greater than 21
Here’s how you should write the equation: 5+x>26

Now solve for x. 26-5=21
X>21


The sum of two numbers is -3, and their difference is 25. Find the numbers.

Answers

are u sure you typed it out right?

3. (05.06 MC)
Graph the system of Inequalities presented here on your own paper, then use your graph to answer the following questions:
y < 4x – 2
y>5/2x-2 (should be the greater than or equal to sign)
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (-2,-2) Included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)

Answers

9514 1404 393

Answer:

  A) The first inequality has a dashed boundary line with a slope of 4 and a y-intercept of -2. The shading is below the line. The second inequality has a solid boundary line with a slope of 5/2 and a y-intercept of -2. The shading is above the line. The solution space is a narrow wedge extending up and to the right of the y-intercepts at (0, -2) through the fourth quadrant into the first quadrant.

  B) Not in the solution space. The point does not satisfy y < 4(-2) -2 because -2 is not less than -10.

Step-by-step explanation:

Part A:

The boundary line of each inequality is in slope-intercept form, so can be drawn easily by finding points with the appropriate slope=rise/run from the common y-intercept at (0, -2).

The first inequality does not include the "or equal to" case, so the boundary line will be dashed. The relation of y and the inequality symbol is y < ( ), so the shading will be below the line, where y-values are less than those on the line.

The second inequality includes the "or equal to" case, so the boundary line is solid. The relation of y and the inequality symbol is y ≥ ( ), so the shading will be above the line, where y-values are greater than those on the line.

The two shaded areas overlap in a narrow wedge between lines with slope 2.5 and 4. The lower-left point of the wedge is the common y-intercept at (0, -2). It extends through the fourth quadrant into the first quadrant. This wedge is the solution area.

__

Part B:

Based on the above description, no part of the solution space is in the third quadrant, where the point (-2, -2) lies. The point is not in the solution space. It does not satisfy the first inequality:

  [tex]-2\nless(4)(-2)-2=-10[/tex]

A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows:
Salary Education
34 3
66 1
89 4
56 3
71 7
80 2
111 7
51 0
23 7
36 2
100 1
35 1
71 6
68 9
163 5
56 0
86 5
58 4
128 9
33 0
Salary Education
34 3
66 1
⋮ ⋮
33 0
a. Find the sample regression equation for the model: Salary = β0 + β1Education + ε. (Round answers to 2 decimal places.) Salaryˆ= + Education
b. Interpret the coefficient for Education.
As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $4,690.
As Education increases by 1 unit, an individual’s annual salary is predicted to decrease by $4,690.
As Education increases by 1 unit, an individual’s annual salary is predicted to decrease by $8,590.
As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $8,590.
c. What is the predicted salary for an individual who completed 7 years of higher education? (Round coefficient estimates to at least 4 decimal places and final answer to the nearest whole number.)
Salaryˆ $

Answers

Answer:

y = 4.69X + 52.93 ;

As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $4,690. ;

$86000

Step-by-step explanation:

Given the data:

X:

34

66

89

56

71

80

111

51

23

36

100

35

71

68

163

56

86

58

128

33

Y:

3

1

4

3

7

2

7

0

7

2

1

1

6

9

5

0

5

4

9

0

The regression equation obtained using a linear regression calculator :

y = 4.689X + 52.93182

Where ;

y = Salary ; x = Educational attainment

Slope is the Coefficient of x = 4.689

Intercept = 52.93

The slope value in thousand = 4.689 * 1000 = 4689 = 4690 (the slope is interpreted to the mean the change in y value per unit change in the value of x)

Therefore, salary increases by about $4690 for every unit increase.

If x = 7

y = 4.689(7) + 52.93182

y = 32.823 + 52.93182

y = 85.7548

Salary =, $86,000

Relay Race Results
10. The table shows the time each
member of two relay teams took
to complete her leg of a relay race.
Team II won the race by 2 s. How
many seconds did Trina take to
run her leg of the race?
Leg
1
Team 1
Name
Time (s)
Ali
22
Bryn 25
Mai
23
Team II
Name
Time (s)
Lea
23
Niki
22
Trina
2
3
4
Tara
21
Sara
20

Answers

93

because if the team second wones the match with two points then the answer will be 93

Help ME WITH THIS QUESTION THANKS !

Answers

Answer:

6 units

Step-by-step explanation:

9x - 4 = 2 ( 5x - 5 )

9x - 4 = 10x - 10

10x - 10 = 9x - 4

10x - 9x = - 4 + 10

x = 6

someone plz help :(
i'm struggling heree

Answers

Answer:

39.96 in²

Step-by-step explanation:

10.8x3.7=39.96

Answer:

19.98

Step-by-step explanation:

area=½×base ×height

½×10.8×3.7

=19.98

Manuel will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $60 and costs an additional $0.60 per mile driven
The second plan has no initial fee but costs $0.80 per mile driven.
For what amount of driving do the two plans cost the
same?
miles
What is the cost when the two plans cost the same?
3

Answers

From the given values and conditions, We need to form a equations and equate both sides to solve for the miles, The answer is 300 miles.

What is a equation?

An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.

What is unitary method?

The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.

x= miles

60+0.6x=0.8x

0.8x-0.6x=60

0.2x=60

x=60/0.2

=300 miles

To learn more about equations visit:

https://brainly.com/question/29657983

#SPJ1

Is it true that congruent figures have the same shape and the same size?

TRUE OR FALSE?
22 POINTS BTW!!​

Answers

Answer:

yahh

Step-by-step explanation:

thats true

i know its help

Answer:

True

Step-by-step explanation:

Two congruent figures have the same shape and size.

What is the circumference of the circle that has a radius of 8.6mm?

Answers

It depends on what ur question is but the circumference will be around 54.04 because 2xpix8.6

Khan Academy math question

Answers

Answer:

the answer is 0 you're welcome bye

Find the equation of the straight line passing through the point (3, 5)
which is perpendicular to the line
y = 3x + 2

Answers

Answer:

y = -1/3x + 6

Step-by-step explanation:

the slope is -1/3 because you find the the reciprocal and switch the sign. To find the y intercept you plug in the points to the equation.

5 = -1/3(3) + b

5 = -1 + b

6 = b

Clare has $150 in her bank account. she buys a bike for $200. what is Clare's account balancenow?

Answers

Answer:

-50

Step-by-step explanation:

Answer:

Step-by-step explanation:

if she had $150 in he bank account and buys a bike that costs 200 she possibly can't afford it since she is $50 dollars short so even if she borrows $50 dollars she has to repay the person 50 dollars before she starts earning another money so i think it is -50. if it doesn't help am sorry I hope you got this answer correct. goodluck

Other Questions
A car that travels 20 miles in 1/2 hour at consent speed travels at the same rate as a car that travels 30 miles in 3/4 hour at a constant speed. Denise is comparing a salaried job offer for $1,500 a week to a wage of $55 per hour. Which equation would help her find the "break-even point" where each offer would be equal?A. 1500 = 55 + 2HB. 150010 = 55HC. 1500 = 55HD. 1500H = 55(40)E. 1500-H= 55 x 8 True or False? Pythagorastheorem involves the formula a2 +b = c The ratio of surfers to swimmers at a beach is 1 to 5. The ratio of female swimmers to the total number ofswimmers is 4 to 15. If there are 60 female swimmers, how many surfers are there? What is the difference of the polynomials 5x 3 4x 2 )-( 6x 2 2x 9? Why has the percentage of elderly people increased in China and Japan?A) Fewer children are born as resources are used up.B) More children are born as living standards decline.C) More children are born as resources are used up.D) Fewer children are born as living standards rise. hnberg Corporation had 540,000 shares of common stock issued and outstanding at January 1. No common shares were issued during the year, but on January 1, Ahnberg issued 160,000 shares of convertible preferred stock. The preferred shares are convertible into 320,000 shares of common stock. During the year Ahnberg paid $96,000 cash dividends on the preferred stock. Net income was $906,000. What were Ahnberg's basic and diluted earnings per share for the year What are 5 factors for determining your credit rating? When trees lose leaves in the fall, they begin to regrow them again in the spring. Would you say this is an example of a process running in reverse or something else. Explain your reasoning.Answer using at least 2 complete sentences. G The shareholders of a firm need to elect four new directors to the board. There are 14 million shares of common stock outstanding and the current share price is $15. If the company uses cumulative voting procedures (assume no seat staggering takes place), how much will it cost to guarantee yourself one seat on the board of directors Why do different substances have different properties? PLEASW HELP MY GRADE IS A 71 IS F PLEASE HELP BRAINLY PLEASE HELP MEE you are the manager of the marketing department of a large firm. your department was given 3 new computers. 5. Cundo hablamos de una repblica popular o socialista? Would you want to live in a command economic system? Explain why or why not Elements 'X', 'Y' and 'Z' have these atomic radii, in nanometers. X 0.072 nm Y 0.099 nm Z 0.111 nmWhen atomic radii are correctly arranged, how might these elements appear in the periodic table? Why? A student calculated the molarity of a solution prepared by dissolving 0.730 mol of table sugar (sucrose, C12H22O11) in 1.8x10^3 mL of water as 4.06x10^-4 M C12H22O11. Explain the student's calculation error and explain how the student should solve for the correct value of molarity. Show a valid calculation for the molarity. 5. Using technology related to oil production, explain how technological innovations impact how people modify the physical environment. The area of the base of a rectangular prism is 30 square centimeters. The height of the prism is 6 centimeters. What is the volume of the rectangular prism in cubic centimeters? Mili has 5 rocks in his rock collection .he finds 40 rocks outside that he wants to put in his collection . If he places the rocks into boxes of 9 how many boxes of rocks will he have in his collection