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

Solve for x: 3.8x − 2(x − 9) = 4.4x + 5

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]3.8x-2(x-9)=4.4x+5[/tex]

Distribute the -2:

[tex]3.8x+(-2x+18)=4.4x+5[/tex]

Combine like terms on the left:

[tex]1.8x+18=4.4x+5[/tex]

Subtract 1.8x from both sides. The left cancels:

[tex]18=2.6x+5[/tex]

Subtract 5 from both sides. The right cancels:

[tex]13=2.6x[/tex]

Divide both sides by 2.6:

[tex]x=13/2.6[/tex]

Simplify (multiply both layers by 10 to get rid of the decimal):

[tex]x=130/26[/tex]

Reduce (divide both layers by 26):

[tex]x=5[/tex]

So, the value of x is 5.

Answer:

5

Step-by-step explanation:

Step 1:

3.8x - 2 ( x - 9 ) = 4.4x + 5

Step 2:

3.8x - 2x + 18 = 4.4x + 5

Step 3:

1.8x + 18 = 4.4x + 5

Step 4:

18 = 2.6x + 5

Step 5:

13 = 2.6x

Answer:

5 = x

Hope This Helps :)

A construction worker estimates that a kitchen remodel will take 1 person 200 hours. If 5 people work on the job for 8 hours a day, how many days will it take for them to complete the job?

Answers

Answer:

5 days

Step-by-step explanation:

Multiply 8 hours by 5 people to get a total of an equivalent of 40 hours of work per day. 200/40 is equal to 5, so it would take them 5 days

Answer:

It will take them five days.

Step-by-step explanation:

So what I did was I multiplied 5 and 8 because there were 5 people and I'm taking it that each person worked 8 hours a day. So after multiplying that, I got 40. I then divided 40 by 200 and I got 5.

A triangle measures 12 degrees and 40 degrees what is the measurement of the 3rd angle of the triangle

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{128°}}}}}[/tex]

Step-by-step explanation:

Sum of angles of triangle add up to 180°

Let the third angle be x

Create an equation and solve for x

[tex] \sf{x + 12° + 40° = 180°}[/tex]

[tex] \dashrightarrow{ \sf{x + 52° = 180°}}[/tex]

[tex] \dashrightarrow{ \sf{x = 180° - 52°}}[/tex]

[tex] \dashrightarrow{ \boxed{\sf{x = 128°}}}[/tex]

Hope I helped!

Best regards! :D

A television sells for $550. Instead of paying the total amount at the time of the purchase, the same television can be bought by paying $100 down and $50 a month for 14 months. How much is saved by paying the total amount at the time of the purchase? PLEASE HELP ME !

Answers

Answer:

250 Dollars

Step-by-step explanation:

100 down + 50 x 14

100 +700= 800

800-550= 250

$150 is saved by paying the total amount at the time of purchase.

Hi i understand that the answer to the missing coordinate is 0 but can somebody explain to me how to get there? When i try to do the problem I get 5 even though the correct answer seems to be 0. Please help me.

Answers

Slope is change in y over change in x. From 0 to 10 we change by 10 so 10/x=2. The change in x=5 but you’re not looking for the change in x. You’re looking for a value that would give you change in x being 5 which would be 0. 0 to 5 gives us a change in x of 5. 10/5 is 2 which is the slope.

Find Y pls
Thank you

Answers

Answer:

y=3

y=1

y=0

Step-by-step explanation:

[tex]y=-\frac{1}{2}x+ \frac{5}{2} \\\\y=\frac{5-x}{2} \\\\x=-1\\\\y=\frac{5-(-1)}{2}\\\\y=\frac{5+1}{2}\\\\y=\frac{6}{2}\\\\y=3\\\\x=3\\\\y=\frac{5-3}{2}\\\\y=\frac{2}{2}\\\\y=1\\\\y=\frac{5-5}{2}\\\\y=\frac{0}{2}\\\\y=0[/tex]

Answer:

y=3

y=1

y=0

Step-by-step explanation:

For this problem, we are given the x-value. TO find the y-value, you plug in x and solve.

x=-1

[tex]y=-\frac{1}{2}(-1)+\frac{5}{2}[/tex]              [multiply]

[tex]y=\frac{1}{2}+\frac{5}{2}[/tex]                        [add]

[tex]y=\frac{6}{2}[/tex]                               [divide]

[tex]y=3[/tex]

---------------------------------------------------------------------------------------------------------------

x=3

[tex]y=-\frac{1}{2}(3)+\frac{5}{2}[/tex]                [multiply]

[tex]y=-\frac{3}{2}+\frac{5}{2}[/tex]                    [add]

[tex]y=\frac{2}{2}[/tex]                              [divide]

[tex]y=1[/tex]

---------------------------------------------------------------------------------------------------------------

x=5

[tex]y=-\frac{1}{2}(5)+\frac{5}{2}[/tex]               [multiply]

[tex]y=-\frac{5}{2}+\frac{5}{2}[/tex]                   [add]

[tex]y=0[/tex]

.48 covert to fraction

Answers

Answer:

12/25

Step-by-step explanation:

answer: 12/25 48%
explanation: Since there are 2 digits in 48, the very last digit is the "100th" decimal place. So we can just say that . 48 is the same as 48/100. terms by dividing both the numerator and denominator by 4.

Solve the equation for y in terms of x
12x + 3y = 12

Answers

Answer:

y = 4 - 4x

Step-by-step explanation:

Step 1: Write equation

12x + 3y = 12

Step 2: Subtract 12x on both sides

3y = 12 - 12x

Step 3: Divide both sides by 3

y = 4 - 4x

Answer:

12x + 3y = 12

3y=12-12x

y=(12-12x)/3=3(4-4x)/3=4-4x

please help! BRAINLIEST to best answer!

Answers

Answer:

I'm not sure if I'm right but you should try X = the x value of the vertex.

Find the coordinates of n if n is exactly halfway between m (-10,-13) and d (-7,-7)

Answers

I think it’s Midpoint is (xM, yM) = (-8.5, -10) but I might be wrong but this is what I got.

Complete the expressions to find the perimeter P of a rectangle that is 7 inches long by 5 inches wide.
P21+2
-2.7+
20
15

Answers

Answer:

[tex] P = 2*7 + 2*5 [/tex]

[tex] P = 14 + 10 [/tex]

[tex] P = 24 inches [/tex]

Step-by-step explanation:

Lenght (l) of rectangle = 7 inches

Width (w) of rectangle = 5 inches

Perimeter (P) of rectangle is given as [tex] P = 2l + 2w [/tex]

Plug in the values of l and w into the formula:

[tex] P = 2*7 + 2*5 [/tex]

Multiply each

[tex] P = 14 + 10 [/tex]

Add together

[tex] P = 24 inches [/tex]

The mean of data set A ls 43.5 and the MAD is 3.7. The mean of data set B is 12.8 and the MAD is 4.1.

1. Which data set shows greater variability? Explain your reasoning​

Answers

Answer:

Data Set B

Step-by-step explanation:

Mean Absolute Deviation(MAD) can be defined as the distance between one data point (value) to the Mean in a give Data set

It can also be defined as the deviation of the mean from the data points or values given in a data set.

From the above question, we are told that:

The mean of data set A ls 43.5 and the MAD is 3.7.

The mean of data set B is 12.8 and the MAD is 4.1.

Comparing the two Data set, the Mean Absolute Deviation of Data set A is smaller than that of Data set B.

Hence, Data set B shows a greater degree of variability because the distance between a data point(value) and the mean is 4.1. This also means that the data points in Set B are more spread out compared to the data points in Set A.

Answer:

b

Step-by-step explanation:

A class has 6 boys and 14 girls. What is the ratio in simplest form?

Answers

Answer: If your doing the ratio of boys to girls, it would be 6:14. Simplified- 3:7

Step-by-step explanation:

The factors of 6-1,2,3,6

The factors of 14-1,2,12,14

The common factor of the two #’s is 2 so you would divide both of them by that number. 3 and 7 are prime numbers so you can’t simplify the ratio anymore.

PLS HELP ASAP OR I WILL FAIL How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of 2 7/10 mph

Answers

Hey! Not to good at explaining this, but the correct answer is 3/5 hours, or 36 minutes.

Answer:

3/5

Step-by-step explanation:

just did it and my school said i got it right

the floor of a house is shaped like a parallelogram the height of the parallelogram is 8 feet less than the base. the base is 48 feet. the length of the other side of the parallelogram is 45 ft what is the area of the floor?​

Answers

Answer:

1920 ft^2

Step-by-step explanation:

base = 48 ft

height = 48 ft - 8 ft = 40 ft

area = base * height

area = 48 ft * 40 ft

area = 1920 ft^2

Pattern in this sequence
1,1+3,1+3+5,1+3+5+7, ...

Answers

Answer:25

Step-by-step explanation:

1 , 1+3 ,1+3+5 ,1+3+5+7,_

1 , 4 , 9 , 16 ,_

From 1 to 4 there is a difference of 3

From 4 to 9 there is a difference of 5

From 9 to 16 there is a difference of 7

From 16 to x there should be a difference of 9 because all the differences mentioned above are all odd numbers so that is the pattern in the sequence

16+9=25

Answer and I will give you brainiliest




MATH​

Answers

Answer:

I think that the answer would be question 3

Step-by-step explanation:

I think i remember doing this question

Someone please help me.

Answers

Answer:

1 is good number 2 is wrong number 3 is good

Step-by-step explanation:

your welcome im juss writting more so it wont say issa short question!!

find the indicated unknown angle measure.​

Answers

Answer:

Pretty sure it's 47°

4x - 7 (2 - x) = 3x + 2

Answers

Answer:

x=2

Step-by-step explanation:

4x−7(2−x)=3x+2

4x+(−7)(2)+(−7)(−x)=3x+2(Distribute)

4x+−14+7x=3x+2

(4x+7x)+(−14)=3x+2(Combine Like Terms)

11x+−14=3x+2

11x−14=3x+2

Step 2: Subtract 3x from both sides.

11x−14−3x=3x+2−3x

8x−14=2

Step 3: Add 14 to both sides.

8x−14+14=2+14

8x=16

Step 4: Divide both sides by 8.

x=2

You are the CEO of a big company. You are paid an annual salary, plus a bonus of the company's profits over $5,000,000,000. Consider the two functions: g(x) = x - 5,000,000,000 ; f(x) = 0.01x which of the following represents your bonus?
a. (g ⚬ f)(x)
b. (f ⚬ g)(x)

Answers

Answer:

(g ⚬ f)(x)

Step-by-step explanation:

(g ⚬ f)(x)

the number of hours you work in a week.​

Answers

Answer:56 hours a week is what you have to work 8 hours a day 7 days a week

Which mathematical symbol would best fill in the blank to compare the two real numbers?√7_14/5

Answers

Answer:

√7 is less than 14/5

Step-by-step explanation:

√7 equals about 2.6

14/5 equals 2.8

which polynomial represents the company’s total output?

Answers

Answer:

C. 2b^3 + b^2 - 2b - 380

Step-by-step explanation:

Factory A: 2b^3 - 3b^2 + b - 120

Factory B: 4b^2 - 3b - 260

Add the polynomials:

2b^3 - 3b^2 + b - 120 + 4b^2 - 3b - 260 =

Be careful to combine like terms.

= 2b^3 - 3b^2 + 4b^2 + b - 3b - 120 - 260

= 2b^3 + b^2 - 2b - 380

Answer: C. 2b^3 + b^2 - 2b - 380

write the ratio to 10 ounces to 4 pounds

Answers

1 pound = 16 ounces

you should make both with the same unit measurement. Let's convert them to ounces.

4 pounds= 4x16 ounces=64 ounces

ratio 10 ounces to 4 pounds= 10 ounces : 64 ounces

= 5 ounces : 32 ounces= 5 : 32

Answer:

5 : 32

Step-by-step explanation:

1 pound = 16 ouncestherefore, 4 pounds = 64 ounces= 10 ounces : 64 ounces = 5 : 32

Here is ur answer !!!

plzz like share and comment guys!!!!!!! and don't forget to vote

If all else remains constant and the values of two variables move in the same direction it indicates a Group of answer choices negative slope relationship. inverse slope relationship. the values of the two variables will move in the same direction then move in opposite directions. positive slope relationship.

Answers

Answer:

positive slope relationship.

Step-by-step explanation:

When two variables move in the same direction, they are positively related. An increase in one variable would lead to an increase in the other variable.

For example, price and quantity supplied are positively correlated. An increase in price, leads to an increase in quantity supplied and a decrease in price leads to a decrease in quantity supplied.

Please check the attached image for a positively correlated curve

g The following scatterplot shows the 20 top-selling cars with their weight on the horizontal axis and their miles per gallon (mpg) on the vertical axis. The overall direction of this data is __________. The strength of the association is __________. a.) positive; weak b.) positive; strong c.) negative; strong d.) negative; weak

Answers

scatterplot relating to the question is attached below.

Answer: Negative ; Strong

Step-by-step explanation:

From the picture of the scatter plot Given, it could be observed that the trend of the scatter points exhibits a negative gradient as the points on the graph slopes downward depicting that an inverse relationship exists between the two variables. With weight decreasing as miles per gallon increases. The relationship between the two variables depicted by the scatter plot is strong as the slope of the point is looks moderately steep.

6.1+
4.55+
1.09 +
15.9+
3.771

Answers

Answer:

31.411

Step-by-step explanation:

6.1+4.55+1.09+15.9+3.771= 31.411


which is the right one????

Answers

B) 13

Step-by-step explanation:

Set up the question by doing 2x + 10 + 4x + 1 = 29 since both of these sections equal KN or 29. Simplify it to 6x + 11 = 29. Subtract 11 from both sides so 6x = 18. Divided both sides by 6 so x =3. CN’s equation is 4x + 1. Plug 3 in for x to be 4(3) + 1 which is 13. Hope this helped!

Answer:

13

Step-by-step explanation:

If 29 is KN, that would mean that both expressions, since they make up KN, add up to 29.

So, you end up combining like terms and getting this:

6x+11=29

Subtract 11 from both sides

6x=18

Divide both sides by 6

x=3

and now to find out CN, simply plug 3 in for x:

4(3)+1

12+1

CN=13

Jazziel bought a smart phone 5 years ago for $90. His sister paid 30% more for the same model. Show your work in the space provided to answer the following questions. Part A: How much more did his sister pay for her phone? a) $27 b) $30 c) $36

Answers

Answer:

B

Step-by-step explanation:

90/3=30

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