domain and range of y = x/(x+4)

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]y=\frac{x}{x+4}[/tex]

for domain x+4≠0

x≠-4

domain={R-{-4}}

R=all real numbers.

y(x+4)=x

yx+4y=x

yx-x=-4y

x(y-1)=-4y

[tex]x=-\frac{4y}{y+1} \\y+1\neq 0\\y\neq -1\\[/tex]

so Range ={R-{-1}}

Answer 2
X/x+4= y or vise versa

Related Questions

What is the slope of the line that
passes through these two points?

Simplify your answer completely.
Enter

Answers

Answer:

2/6

Step-by-step explanation:

you move up to spaces and over six spaces

Given the triangle below, find the value of x

Answers

Answer:

I think it is b I’m not quite sure though. Sorry if wrong…

Step-by-step explanation:

Please help! Steps if possible: If n=31, ¯x (x-bar)=41, and s=12, construct a confidence interval at a 90% confidence level. Assume the data came from a normally distributed population.

Give your answers to one decimal place.
decimal place.

________ < μ < _______

Answers

Answer:  [tex]\boldsymbol{37.5} < \mu < \boldsymbol{44.5}[/tex]

===========================================================

Explanation:

At a 90% confidence level, the z critical value is roughly z = 1.645. Use a reference table or a calculator to determine this. Despite not knowing what sigma is, we can use a z interval here because n > 30. If the sample size n was smaller than 30, then we'd have to use a T distribution instead.

We'll plug that z value, along with the other given values, into the formula for the lower boundary L of the confidence interval.

[tex]L = \text{lower boundary}\\\\L = \overline{x} - z*\frac{s}{\sqrt{n}}\\\\L = 41 - 1.645*\frac{12}{\sqrt{31}}\\\\L = 41 - 3.545\\\\L = 37.455\\\\L = 37.5\\\\[/tex]

This value is approximate.

Do the same for the upper boundary as well

[tex]U = \text{upper boundary}\\\\U = \overline{x} + z*\frac{s}{\sqrt{n}}\\\\U = 41 + 1.645*\frac{12}{\sqrt{31}}\\\\U = 41 + 3.545\\\\U = 44.545\\\\U = 44.5\\\\[/tex]

This value is also approximate.

We have 90% confidence that the population mean [tex]\mu[/tex] (greek letter mu) is somewhere between L = 37.5 and U = 44.5

Therefore, we would write the 90% confidence interval as [tex]\boldsymbol{37.5} < \mu < \boldsymbol{44.5}[/tex]

This is the same as writing the confidence interval in the form [tex](\boldsymbol{37.5} , \boldsymbol{44.5})[/tex]. Both forms are two different ways to say the same thing. The first form being [tex]L < \mu < U[/tex] while the second form is [tex](L,U)[/tex].

Side note: The value 3.545 calculated earlier is the approximate margin of error.

Which value for x satisfies the equation 3x−6=15?

Answers

Answer:

x= 7

Step-by-step explanation:

1. Add 6 to both sides

2. simplify

3. Divide by the same term

4. simplify

Answer:

7

Step-by-step explanation:

3x7=21

= 21 - 6 = 15

I hope you find it helpful ..

Good luck

A plane is pointed S 15° E, with indicated speed 500 mph. It flies through a wind
blowing N 20° E at 55 mph. Find the resultant speed and direction of the plane.

Answers

Answer:

N 2.4 ∘ W  or Bearing  357.6 ∘

672.2x  km/hr

Step-by-step explanation:

Triangle XYZ is similar to ABC.

Enter the missing side length.

Answers

11.6 is the missing side length

Solve the system. Give answer as
(
x
,
y
,
z
)


2
x

2
y
+
4
z
=
0



6
x

4
y

4
z
=
2



3
x

8
y
+
4
z
=
1


(
x
,
y
,
z
)
=
(

,
,
)

Answers

Answer:

howwwwww

Step-by-step explanation:

it's alot going on

Graph the system of linear inequalities. Your graph should demonstrate that you're following the instructions below.

Use x- and y- intercepts to graph inequality A.
Use point-slope form to graph inequality B.

A) 3x - 9y > 27
B) (y-3) ≤ -4/3 (x+7)

Show ALL work and EXPLAIN all your steps.
Thank you for helping me understand this.
PLEASE SHOW ME A PICTURE OF THE GRAPHED ANSWERS.

Answers

[tex]\\ \sf\longmapsto 3x-9y> 27[/tex]

[tex]\\ \sf\longmapsto x-3y>9---(1)[/tex]

And

[tex]\\ \sf\longmapsto y-3\leqslant -4/3(x+7)[/tex]

[tex]\\ \sf\longmapsto 3y-9\leqslant -4x+28[/tex]

[tex]\\ \sf\longmapsto 3y+4x\leqslant 37--(2)[/tex]

Graph attached

Need help with this

Answers

Answer:

It CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

Step-by-step explanation:

nope

A spherical tank has a circular orifice in its bottom through which the liquid flows out. The following data is collected for the flow rate through the orifice as a function of time:

Answers

Hi small cats and cats and dogs have a great experience with the evening of the evening of 6th century the morning of this

A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data from a random month, in which there were 2333 class attendees. The data is summarized in the table below. Class Type and Member Status of Class Attendees Class Type Member Non-Member Barre 157 232 Boot Camp 259 258 Boxing 282 215 Spinning 161 235 Yoga 271 263

Answers

The likelihood that a class attendee is a non-member of the gym taking a barre class or a member of the gym taking a boot camp class is 0.009.

What is the probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The marketing team has gathered data from a random month, in which there were 2039 class attendees.

The probability that a class attendee is a non-member of the gym and is attending a barre class

= 185/2039

= 0.09

The probability that a class attendee is a member of the gym and is attending a boot camp class

= 204/2039

= 0.10004

The probability for both the event would be

= 0.09 x 0.10004

= 0.009

The complete question is attached with the answer below.

Learn more about probability here;

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Christa sells bracelets during the summer months to earn some extra money. She
made this pictograph to represent her sales for last summer.
Bracelets Sold
June
July
August
=4 bracelets
How many bracelets did Christa sell in June and July?
8
32
12
40

Answers

Answer:

32 bracelets

Step-by-step explanation:

First multiply each bracelet by 4 to get the correct amount:

3x4=12

4x5=20

Then, add the two.

12+20=32

1. Describe the location of entry m52 in a matrix called M

Answers

Check the picture below.

What single transformation was applied to quadrilateral A to get quadrilateral B?

A) translation
B) Rotation
C) Reflection
D) Dilation

Answers

Answer:

A) Translation

Step-by-step explanation:

Since the triangle didn't turn at all it isn't rotation.

Since the triangle wasn't flipped over a line it isn't reflection.

Since the size of the triangle wasn't changed it isn't dilation.

That leaves translation.

which number line represents the solution of 4x - 9 > - 21?

Answers

Answer:4x -9 >= -21

4x >= -12

x >= -12/4

x >= -3  

so this number line started with -3 and go away till + infinity  

hope this will help you

Answer:

D

Step-by-step explanation: srry if im wrong

3/2 (7/3x+1) = 3/2

Show work. (simple if possible)

Giving Brainliest.

Answers

Answer:

[tex]7/2x + 3/2 = 3/2 <=> x = 0[/tex]

Step-by-step explanation:

help ??? on edu math review

Answers

Answer:

It must be C.

Step-by-step explanation:

x² - 9 = 16

=> 16 + 9 = x²

=> 25 = x²

=> x = 5

Referring to the options, C is the only one that is accurate to me. Hoped this helped.

The answer for that one is B

Please help! Grade 7 math

Answers

Answer:

6 apple pies

Step-by-step explanation:

The P(A) = 0.4 and the P(B) = 0.32. What is P(A and B)? O a. 0.272 b. 0.128 O c.0.08 O d. 0.72​

Answers

Answer:

b

Step-by-step explanation:

the answer is no.b as P(A)*P(B)

Ki has captured many yellow-spotted salamanders. He weighs each and then
counts the number of yellow spots on its back. This trend line is a fit for
these data.
A. parabolic
B. strong
c. weak
D.negative

Answers

Answer:

B

Step-by-step explanation:

HI is number 12 correct?

Answers

Answer: there nothing there
Proof

The Lamborghini Sports Car reaches a maximum speed of 200km/h in 15.50s
The McLaren Sports Car displays the same time as the Ferrari Sports Car.
The Renault Sports Car is small in size.
The Ferrari Sports Car is a tenth second slower than the Lamborghini Sports Car.
The Renault Sports Car is three tenths of a second faster than the McLaren Sports Car.
What time does the Renault Sports Car displays to reache a maximum speed of 200km/h?

Answers

The Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.

Since the Lamborghini Sports Car reaches a maximum speed of 200km / h in 15.50s, the McLaren Sports Car displays the same time as the Ferrari Sports Car, the Ferrari Sports Car is a tenth second slower than the Lamborghini Sports Car, and the Renault Sports Car is three tenths of a second faster than the McLaren Sports Car, to determine what time does the Renault Sports Car displays to reache a maximum speed of 200km / h the following calculation must be performed:

15.5 - 0.1 + 0.3 = X 15.4 + 0.3 = X 15.7 = X

Therefore, the Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.

Learn more in https://brainly.com/question/25561796

5. A 32 foot tree casts a 60 foot shadow as shown below. A man next to the tree casts a 12 foot shadow. How tall
is the man? Justify your solution

Answers

Answer:

Step-by-step explanation:

The shadow length will be proportional to height

12 / 60 = h / 32

h = 12(32)/60 = 6.4 ft or 6 ft 4.8 inches

3. The graph of F(x), shown below,
resembles the graph of G(X)=x2, but
it has been changed somewhat.
Which of the following could be the
equation of F(x)?
1
16
FOX0 = ?
G00= x
5
Answer Choices:
F(X)=-X²+2
F(x)= 3x2 +2
F(x)=2x2 - 2
F(x) = (2x + 2)2

Answers

The number three is correct

The equation of f(x) from the graph if, G(x) = x², is F(x) = 2x² + 3, so option A is correct.

What is a graph?

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

here, we have,

Given:

G(x) = x²,

As you can see from the graph, the vertex of the parabola is (0, 3),

Write the equation of a parabola as shown below,

y = a(x - 0)² + 3

y = ax² + 3

Here a is the slope of the parabola,

slope = 4 / 2  (from the graph),

slope = 2

Thus, the equation will be,

y = 2x² + 3 or  F(x) = 2x² + 3

To know more about Graph:

brainly.com/question/10712002

#SPJ7

i'll be asking a lot of questions because this assignment has like 50 questions
PLEASE ANSWER WITHIN THIS HOUR!
You and your friend decide to have a road trip. If a car travel 280 miles in 7 hours. How far will it travel in 12 hours?
Thank you for your help!!

Answers

Answer:

480 miles

Step-by-step explanation:

Well, firstly - no idea, as cars can go slower or faster and there is no indication that this particular car would maintain the exact same avg. speed over 12 hours.

There is no way to solve this otherwise though, so we'll assume the car's speed is constant.

280mi / 7h = 40mph

40mph * 12h = 480mi

(10 points!!!) AND I’LL MAKE YOU BRAINLEST

I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!

The answer is ( Jose, $901.31 more)

Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?


Use the table to answer:

Answers

Well I’m not sure if I know how explain this mathematically but what I think happens is Josè is putting 150 dollars in and earning 3% interest quarterly instead of by the year, meaning his money is increasing more often then Janell, who only gets interest every year. I’m sorry if this isn’t what you were looking for

what is the numerical answer?

Answers

Answer:

x = 3

Step-by-step explanation:

In a parallelogram the diagonals bisect each other , then

6x + 11 = 5x + 14 ( subtract 5x from both sides )

x + 11 = 14 ( subtract 11 from both sides )

x = 3

also need help with this one

Answers

Answer:

x=8°

Step-by-step explanation:

Let's make an equation with this problem, since all side have to add up to 180 degrees we can solve it

(5x-2)+(9x+3)+(11x-21)=180°

lets add up light terms

25x-20=180°

add both sides by 20 and we get 25x=200°

divide both sides by 25 and we get x=8°

We have: (9x+3) + (5x-2) + (11x-21) = 180
=> 9x + 5x + 11x = 180 + 21 + 2 - 3
=> 25x = 200
=> x = 8

Ok done. Thank to me:>

In your own words what does pi 7 mean if it’s right I’ll give you brainliest

Answers

Answer:

10

Step-by-step explanation:

Evaluate the expression.
8P2

Answers

Answer:

8×100+P×10+2×1

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The evaluation would be 8•P•2 because when there are numbers and variables next to each other in a non-digit form, the operation is multiplication.
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