Which statements are true regarding f(x)=10/x+5

? Check all that apply.

The domain of f(x) is (–∞, –5) U (–5, ∞).
The range of f(x) is (–∞, 2) U (2, ∞).
The x-intercept is at (–5, 0).
The y-intercept is (0, 2). 
There is a vertical asymptote at x = –5.
The end behavior is  x → –∞, f(x) → 0 and x → ∞, f(x) → 0.

Answers

Answer 1

For the function   [tex]\frac{10}{x + 5}[/tex]  , we can say

The domain of f(x) is (–∞, –5) U (–5, ∞).

The y-intercept is (0, 2).

There is a vertical asymptote at x = –5.

The end behavior is  x → –∞, f(x) → 0 and x → ∞, f(x) → 0.  

What is a function?

A mathematical relationship from a set of inputs to a set of outputs is called a function.

What is domain of a function?

The domain of a function is the set of all possible inputs for the function.

What is range of a function?

The range of a function is the set of outputs the function achieves when it is applied to its whole set of outputs

What is asymptote?

An asymptote is a straight line that can be horizontal, vertical or oblique that goes closer and closer to a curve which is the graphic of a given function.

What is intercept?An intercept of any function is a point where the graph of the function crosses, or intercepts, the x-axis or y-axis.To find the x-intercept we need to do y = 0To find the y-intercept, we need to do x = 0

How to know the domain of function?

The given function is  [tex]\frac{10}{x + 5}[/tex]  

Now, if x = -5 then the function becomes undefined.

∴ The domain of the function is all real numbers except -5

So, The domain of f(x) is (–∞, –5) U (–5, ∞).

So, option a is correct.

How to know the range of the function?

Clearly, the range of the function includes all real numbers

So, option B is wrong

How to find the x-intercept?

To find the x-intercept , we will have to solve f(x) = 0,  which is not at all possible for this function.

So, option C is wrong

How to find the y-intercept?To find the y-intercept, we need to do x = 0

So, putting x = 0 in the function we get f(x) = 2

So, the y- intercept is (0, 2).

So, option D is correct.

How to find vertical asymptote ?To find the vertical asymptote, we need to make the                    denominator = 0

∴ x+ 5 = 0

∴ x = -5

So, there is a vertical asymptote at x = –5.

Hence option E is correct.

How to find the end behavior?

We can see,

As x tends to -∞, x + 5 will also tend to -∞We know that a number divided by ∞ or -∞ becomes 0

So, as x tends to -∞, f(x) will tend to 0

So, Option F is correct.

Find more about "Domain and Range of Functions" here: https://brainly.com/question/1942755

#SPJ2

Answer 2

Answer:

ADEF

Step-by-step explanation:

ADEF


Related Questions

Porsches mom told her to choose 3 crayons out of a box

Answers

Pink, yellow, and lime green.

I think this what your looking for ও

Hope this helped ♡

Identify the intersection of line l line m

Answers

The answer is (1 , 3)

HELP !! Find the x with the details in this picture^^

Answers

Answer:

x = 3.9

Step-by-step explanation:

So the whole angle PQS = 111 degrees

it gave you part of it so subtract that off . 111 - 72 = 39 degrees

10 times what equals about 39 degrees.

39/ 10 = 3.9

Crude oil imports to one country from another for 2009–2013 could be approximated by the following model where t is time in years since the start of 2000. I(t) = −33t2 + 800t − 3,000 thousand barrels per day (9 ≤ t ≤ 13) According to the model, approximately when were oil imports to the country greatest?

Answers

Answer:

Import in 2012 was the greatest

Step-by-step explanation:

Given

l(t) = -33t² + 800t - 3000

9 ≤ t ≤ 13

Required

Determine the year with highest import.

To do this we simply substitute the values of t from 9 to 13 in the given function.

When t = 9

l(t) = -33t² + 800t - 3000

l(9) = -33 * 9² + 800 * 9 - 3000

l(9) = -33 * 81 + 800 * 9 - 3000

l(9) = -2673 + 7200 -3000

l(9) = 1527

When t = 10

l(10) = -33 * 10² + 800 * 10 - 3000

l(10) = -33 * 100 + 800 * 10 - 3000

l(10) = -3300 + 8000 - 3000

l(10) = 1700

When t = 11

l(11) = -33 * 11² + 800 * 11 - 3000

l(11) = -33 * 121 + 800 * 11 - 3000

l(11) = -3993 + 8800 - 3000

l(11) = 1807

When t = 12

l(12) = -33 * 12² + 800 * 12 - 3000

l(12) = -33 * 144 + 800 * 12 - 3000

l(12) = -4752 + 9600 - 3000

l(12) = 1848

When t = 13

l(13) = -33 * 13² + 800 * 13 - 3000

l(13) = -33 * 169 + 800 * 13 - 3000

l(13) = -5577 + 10400 - 3000

l(13) = 1823

Comparing the values of l(t) for the range of t = 9 to 13,

The highest value of l(t) is:

l(12) = 1848

Hence, the year with the highest import is 2012

The oil imports to the country are greatest during the year 2012

Given the model where t is time in years since the start of 2000 expressed as I(t) = −33t² + 800t − 3,000

The oil imports more oil during the year 2012, is t = 12

I(12) = −33(12)² + 800(12) − 3,000

I(12) = -33(144) + 9600 - 3000

I(12) = -4752 + 6600

I(12) = 1848

Hence the oil imports to the country are greatest during the year 2012

Learn more on functions here: https://brainly.com/question/17192405

10 decreased by twice a is 23

Answers

I think the answer your looking for is A= 16.5, because a doubled is 33 then if you subtract 10 you get 23

THERE YOU GO I HAVE TO TYPE WORDS

what is 3/5 times 9/7

Answers

Answer:

[tex] \frac{27}{35} \\ [/tex]

Step-by-step explanation:

If you are going to multiply fractions, you just going to multiply their numerators and denominators and simplify when needed.

[tex] \frac{3}{5} \times \frac{9}{7} \\ \frac{3 \times 9}{5 \times 7} \\ \frac{27}{35} [/tex]

The exact form 27/35
Decimal form 0.7714285

plz help i need to rase my grade

Answers

The average of anything is calculated by adding up all the terms in the data set and dividing by the amount of terms in the data set.

In this problem,

The average = $1000

the amount of terms = 3

x = the amount earned Sunday

($1073 + $1108 + x) / 3 = $1000

First, multiply both sides by 3

$1073 + $1108 + x = $3000

Add together like terms

$2181 + x = $3000

Subtract $2181 from both sides.

x = $819

The restaurant needs to earn $819 on Sunday to have an average of $1000

Think of a number. Double the number. Substract 6 from the result and divide the answer by 2. The quotien will be 20. What is the number?

Answers

Answer:

23 is your answer hope this helps

Answer:

The number is 23

Step-by-step explanation:

23*2=46

46-6=40

40/2=20

The answer is 23

Hope that helps!

I need to know this I don’t understand and it is last one

Answers

Answer:

The answer is 4x

Step-by-step explanation:

Hope this helped

Find the dimensions of a rectangle whose width is 8 miles less than its length and whose area is 105 square miles

Answers

Area of a rectangle = w*l

w = width

l = length

In our problem,

Area = 105mi^2

l = x

w = x - 8

Let's plug our values into the formula above.

105mi^2 = x(x - 8)

Distribute the x

105mi^2 = x^2 - 8x

Subtract 105mi^2 from both sides.

0 = x^2 - 8x - 105

Let's factor the right side.

0 = (x - 15)(x + 7)

Set both terms equal to 0

x - 15 = 0

Add 15 to both sides.

x = 15

x + 7 = 0

Subtract 7 from both sides.

x = -7

Since the length cant be a negative number, 15 is the correct answer.

Length = x = 15 mi

Width = x - 8 = 15 - 8 = 7 mi

The length of the rectangle is 15 miles while the width is 7 miles.

What is a rectangle?

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

The perimeter of rectangle = 2( length + width).

Suppose the length is L while the width is W.

Area of rectangle = length × width.

L x W = 105

W = L - 8

By substitution,

L x (L - 8) = 105

L² - 8L - 105 = 0

L² - 15L + 7L - 105 = 0

L(L - 15) + 7(L - 15) = 0

(L + 7)(L - 15) = 0

L = -7, L = 15

Since length will not be negative thus L = 15 miles.

W = 15 - 8 = 7 miles

Hence "The length of the rectangle is 15 miles while the width is 7 miles."

For more about rectangles,

https://brainly.com/question/15019502

#SPJ2

1. Name the indicated geometric figures for the figure shown. Be sure to use correct notation.


A Name a point. _________

B Name a ray through Y. _________

C Name a line through Z. _________

D Name a plane. _________

Answers

Answer:

Step-by-step explanation:

A). There are three points given on the plane R.

    Point X, point Y and Point Z.

B). A ray from the point Y → [tex]\overrightarrow{XY}[/tex]

   A ray starting from point X and passing through Y to infinity.

C). Name of a line → [tex]\overleftrightarrow{YZ}[/tex]

    Aline passes through two points with both the ends directing towards infinity.

D). Name of a plane → Plane R or Plane XYZ

    A plane is defined by three points lying on the same surface.

In a population of elderly war veterans, the probability that a veteran will have been exposed to agent orange (a militarized herbicide) and develop cancer is 0.35. The probability is 0.75 that a veteran exposed to agent orange will develop cancer. The average age of the veterans is 67 years old. What is the probability that a random veteran will have been exposed to agent orange

Answers

Answer:

Probability that a random veteran will have been exposed to agent orange is 0.4667

Step-by-step explanation:

P(exposed to agent cancer and develop cancer) = 0.35

P(develop cancer given he is already exposed to agent orange) = 0.75

P(is exposed to agent cancer) = ?

 

P(A given B) = P(A and B)/P(B),

P(develop cancer | exposed to agent orange)  = P(develop cancer and exposed to agent orange)/P(exposed to agent orange)  

0.75 = 0.35/P(exposed to agent orange)  

P(exposed to agent orange) = 0.35/0.75

P(exposed to agent orange) = 0.4667

Round $537.307 to the nearest cent

Answers

Answer:

$531.31

round to the nearest cent is round to 2 decimal places

Answer:

537.31 hope this helps you out

What is the least common multiple of these two denominators 3/6 2/12

Answers

Answer:

1 1/2 = 36/24

3/8 = 9/24

5/6 = 20/24

3 = 72/24

Step-by-step explanation:

if this answers it or it is just 12

The least common multiple of these two denominators 6 and 12 is 2.

To find the least common multiple (LCM) of the denominators 6 and 12, follow these steps:

Step 1: Prime factorize each denominator.

6 = 2 × 3

12 = 2 × 2 × 3

Step 2: Identify the highest power of each prime factor.

In this case, the highest power of 2² is 2 and the highest power of 3 is 3.

Step 3: Multiply the highest powers of all prime factors.

[tex]2^2 * 3^1 = 4 * 3 = 12[/tex]

Therefore, the LCM of the denominators 6 and 12 is 2.

Learn more about Least common multiple here:

https://brainly.com/question/30060162

#SPJ6

You have a band concert coming up. You need to make sure that everyone in the audience has a seat. 70 people bought tickets. You set 6 rows of 11 chairs. Is that enough chairs? Why or why not? Show Work!

Answers

no this is not enough chairs!

if you have 6 rows of 11 chairs it would look like this

xxxxxx

xxxxxx

xxxxxx

xxxxxx

xxxxxx

(each x is a chair)

this would mean to figure out the amount of chairs you set down you would do 6 x 11 which is 66. so you would need 4 more chairs to fit all 70 people.

* 1. Name a point on line n. 2. Name a segment on line m. 3. Name a ray with endpoint C. 4. Name three collinear points.​

Answers

Answer:

1. D

2. AE (with a line above the 2 letters)

3. AC (with an arrowpointing to the right above the 2 letters)

4. B, A, and C

A tourist information center is between a bus station and a train station. When mapped on a grid, the tourist information center is located at (1,4) and the bus is located at (-3,7) The train station is located at point

Answers

Answer: The train station is located at point (5,1).

Step-by-step explanation:

Given: On a grid, information center is located at (1,4) and the bus is located at (-3,7).

A tourist information center is between bus station and train station.

i.e.  tourist information center is a mid point  of line joining bus station and  train station.

Midpoint between (a,b) and (c,d) is given by :-

[tex](x,y)=(\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex]

Let (a,b) be the coordinates of train station , then

[tex](1,4)=(\dfrac{-3+a}{2},\dfrac{7+b}{2})\\\\\Rightarrow\ 1=\dfrac{-3+a}{2}\ \ \ , 4=\dfrac{7+b}{2}\\\\\Rightarrow\ 2=-3+a\ \ \ , 8=7+b\\\\\Rightarrow\ 2+3=a\ \ \ , 8-7=b\\\\\Rightarrow a= 5,\ \ b=1[/tex]

Hence, the train station is located at point (5,1).

Find the slope intercept form of the equation of the line through the points(2,-4) parallel to the line 8x+2y+2=0

Answers

Answer:

y = -4x + 4

Step-by-step explanation:

8x+2y+2=0

turn that into slope intercept form:

y = -4x - 1

a parallel line has the same slope, but different y-intercept

y = -4x + b

put (2,-4) into the equation

-4 = -4(2) + b

you get b=4

final product:

y = -4x + 4

Chin researched the body weight, in pounds, of professional football players. He created a table of different sample means from his data. Sample Sample Mean (pounds) 1 240 2 236 3 245 4 243 5 238 6 242 Which statements are true? Select three choices. The variation in the sample means makes it possible to make predictions about the population mean. The actual population mean is greater than 236. The actual population mean is less than 245. The actual population mean is greater than 245. The population mean is the average of the sample means.

Answers

Answer:

The variation in the sample means makes it possible to make predictions about the population mean. The actual population mean is greater than 236. The actual population mean is less than 245.

Step-by-step explanation:

Sample data

1 2 3 4 5 6240 236 245 243 238 242

Mean = sum of sample data/sample frequency

(240+236+245+243+238+242)/6 = 240.67

Answer choices:

The variation in the sample means makes it possible to make predictions about the population mean.

Correct.  

The actual population mean is greater than 236.

Correct. 240.67 > 236

The actual population mean is less than 245.

Correct. 240.67 < 245

The actual population mean is greater than 245

Incorrect.

The population mean is the average of the sample means.

Incorrect.  

Answer:

It is numbers 1, 2, and 3!

Step-by-step explanation:

y varies directly with x Part 1

19. If y = 4 when x = -2, find x when y = 6
20. If y = 6 when x = 2, find x when y = 12
21. If y = 7 when x = 2, find x when y =3

Answers

Answer:

  19. -3

  20. 4

  21. 6/7

Step-by-step explanation:

Since the variables are proportional, you can multiply the given x value by the new/old ratio of y-values.

  19. x = 6/4(-2) = -3

  20. x = (12/6)(2) = 4

  21. x = (3/7)(2) = 6/7

What does this say? Please Help me!

Answers

Answer:

That is a child mom with triplets.

Step-by-step explanation:

In comparing different job opportunities, you found that firm A will start your salary at
RM25000 per year and guarantee you a raise of RM1200 each year while firm B will start
your salary at RM28000 per year but will guarantee you a raise of RM900 each year.
(a) In what year of service the yearly salary from both firm will be the same?
(b) In what year of service the total salary from both firm will be the same?
(c) Hence, state the firm for which you should choose if you plan to work for 25 years.

Answers

Answer: the answer i think is c

Savannah's balance in her checking account was –$638.57. She deposited two checks, each in the amount of $298.40. What is Savannah’s new checking account balance after the deposits?

Answers

$-41.77 you’re welcome

what is an equivalent expression to 6(x-5)?

Answers

Answer:

6x-30

Step-by-step explanation:

you use distribution

Answer: 6x -30

Step-by-step explanation: Distribute the 6 to x and -5 to get 6x -30.

Translate the following algebraic expression into a written expression 3x ^ 2 + 2y + 1/2

Answers

Answer:

5

Step-by-step explanation:

Suppose you work for a company that manufactures electronics. The development analysts estimate that 5% of their flagship product will fail within 2 years of the purchase date, with a replacement cost of $ 1200. A newly hired associate at the company proposes to charge $ 50 for a 2-year warranty. 1. Compute the expected value of this proposal. Let X be the amount profited or lost (by the company) on the warranties and P(X) is the probability. 2. Interpret the expected value in complete sentences.

Answers

I’m not sure but I tried

The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.

Interpretation of the expected value:

The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses.

To compute the expected value of the proposal, we need to calculate the amount profited or lost (X) by the company on the warranties and the probability (P(X)) of each outcome.

Now, we have,

The product doesn't fail within 2 years, and the company earns $50 from the warranty.

The product fails within 2 years, and the company incurs a replacement cost of $1200 but keeps the $50 warranty fee.

The probability of the product not failing within 2 years is 1 - 0.05 = 0.95,

and the probability of the product failing within 2 years is 0.05.

Now, we have to find the expected value (E(X)):

[tex]E(X) = P(X_1) * X_1 + P(X_2) * X_2[/tex]

Where:

[tex]P(X_1)[/tex] = Probability of the product not failing within 2 years = 0.95

[tex]X_1[/tex] = Amount profited when the product doesn't fail within 2 years = $50

[tex]P(X_2)[/tex] = Probability of the product failing within 2 years = 0.05

[tex]X_2[/tex] = Amount lost when the product fails within 2 years = -$1150 (Replacement cost of $1200 - $50 warranty fee)

E(X) = 0.95 * $50 + 0.05 * (-$1150)

E(X) = $47.50 - $57.50

E(X) = -$10

The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.

Interpretation of the expected value:

The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses. As a result, the company might want to reconsider the pricing of the warranty or look for other ways to reduce the potential costs associated with the product failures.

To learn more on probability click:

brainly.com/question/11234923

#SPJ3

Ms. D bought 18 bagels for $1.35 each and 2 containers of cream cheese for $3.45 each. Write and evaluate ONE expression to find the total cost of the food.

Answers

Answer:

(18+2)x($1.35+$3.45)= $96

Could I please have BRAINLIEST.

In June 2012, Twitter was reporting 400 million tweets per day. Each tweet can consist of up to 140 characters (letter, numbers, etc.). Create a comparison to help understand the amount of tweets in a year by imagining each character was a drop of water and comparing to filling something up

Answers

Assuming each tweet reaches the max of 140, there would be 56 billion drops of water daily. This would equate to 738,681.7 gallons of water or 98,870.4 cubic feet. This amount of drops of water could fill up almost half of the Goodyear blimp

Point S is on line segment RT. Given ST = 2x – 10, RS = 2x - 5, and
RT = 3x + 1, determine the numerical length of RT.

Answers

Answer: 49

Step-by-step explanation:

The numerical length of RT is 49 units if point S is on the line segment RT. Given ST = 2x – 10, RS = 2x - 5, and RT = 3x + 1.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Point S is on line segment RT.  

ST = 2x – 10,

RS = 2x - 5, and

RT = 3x + 1,

RT = RS + ST

3x + 1 = 2x - 5 + 2x - 10

The above equation is representing a linear equation in one variable.

After simplifying:

3x + 1 = 4x - 15

4x - 3x = 15 + 1

x = 16

RT = 3x + 1

Plug x = -14

RT = 3(16) + 1

RT = 48 + 1

RT = 49

The numerical value of RT = 49

Thus, the numerical length of RT is 49 units if point S is on line segment RT. Given ST = 2x – 10, RS = 2x - 5, and RT = 3x + 1.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

HELPP PLEASEEEE THANK YOUUU MU FRIEND!

Answers

Answer:

co.: 14, -2, -5 var. terms: 14x,-2x,-5x con. terms: 9,8,1

Step-by-step explanation:

Other Questions
what is the theme of jacob the great What effects has the dissolution of the Soviet Union had on the U.S.? Read the excerpt from "The Most Dangerous Game." "Life is for the strong, to be lived by the strong, and, if needs be, taken by the strong. The weak of the world were put here to give the strong pleasure. I am strong. Why should I not use my gift? If I wish to hunt, why should I not? I hunt the babble of the earthsailors from tramp shipslascars, blacks, Chinese, whites, mongrelsa thoroughbred horse or hound is worth more than a score of them." What does this piece of dialogue reveal about Zaroffs character? He feels he is entitled to practice his cruel sport. He would never hunt another member of the upper class. He is getting bored with the idea of hunting people. He believes that Rainsford feels the same way he does. Only 5 people went to a Melanie Martinez concert. Melanie Martinez got mad. Why did she get mad? Translate into Algebra.Jim will be x years old in two years. At that time, his sister will be twice as old as he will be. How old is Jim's sister now? ** Busca y anota en tu cuaderno con su significado en una oracin 50 palabras donde el acento hace su significado diferente ejemplo: The remains of the early civilizations of Mesoamerica are found in modern-day __________.A.Pakistan and IndiaB.EgyptC.IraqD.Mexico and Guatemala Is the underlined word an adjective or an adverb: The cat stretched slowly.A. adverbB. adjective Why is it imprecise to say that the equation 25 x 2 + 27 + 0 has no solution? Find all solutions of the equation. how do development activities help in keeping the balance of the environment? We will meet you later at the library. *willmeetOyoulaterAdverbs A basketball leaves a player's hands at a height of 2.20 m above the floor. The basket is 2.70 m above the floor. The player likes to shoot the ball at a 36.0 angle. Of the shot is made from a horizontal distance of 9.10 m and must be accurate to 0.23m (horizontally), what is the range of initial speeds allowed to make the basket Choose the appropriate descriptor for the term gram. mass volume length area If a boy was standing on his head, his mouth would be ___ to his nose. What is the range???????? Ninas total trip to and from work is 14 miles. If she works 243 days this year, how many miles will she drive to and from work? what was christoper columbus journey that he sailed 30 days for What is the definition of a term map? Before Bob gets in his car in the morning, he checks his taillights and sees that they both work. Two hours later, he is pulled overand given a ticket for the taillight that just burned out. Which of the following statements is TRUE?This offense was a strict liability offense.Bob committed a negligent criminal offense.This offense was a reckless act.Bob was not guilty because all laws require guilty intent Solve the equation . Check your solution