How would the domain and range of the function

Y = (1/4)x - 6

be determined? Explain. ​

Answers

Answer 1

Answer:

Domain and range both [tex](-\infty, \infty)[/tex]

Step-by-step explanation:

The range is determined by finding the domain of the inverse of the function(if it has one, in this case it does). The domain is easily determined, because [tex]x[/tex] can obviously range from [tex](-\infty, \infty)[/tex] without restriction.

The inverse of the function can be found as such:

[tex]x=(1/4)f^{-1}(x)-6\\x+6=(1/4)f^{-1}(x)\\4(x+6)=f^{-1}(x)\\f^{-1}(x)=4x+24[/tex].

Here, [tex]x[/tex] can also range from [tex](-\infty, \infty)[/tex] without restriction.

So, the domain and range are both [tex]\boxed{(-\infty, \infty)}[/tex]


Related Questions

3/5 × 7 1/2 ÷ 2 7/10

Answers

Answer:

simplify??

Step-by-step explanation:

Exact form:5/3

Decimal form:1.6

Mixed number form:1 2/3

Find the mean rounded to the nearest tenth median mode and range 59,50,54,50,50

Answers

Answer:

Mean = 52.6

Median = 50

Mode = 50

Range = 9

Step-by-step explanation:

How to find the mean

The mean of a set of numbers is the sum divided by the number of terms.You add 59,50,54,50,50 then divide it by 5 because there are 5 numbers

How to find the median

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

How to find the mode

The mode is the element that occurs most in the data set. In this case,  50 occurs  3  times.

How to find the range

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 59 − 50 = 9

Hope this helps

HELPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

89 divided by 4.

4 goes into 80, 20 times with none left over.

4 goes into 9, 2 times with 1 left over.

Answer: 22 1/4

Hope this helps!! :)

I NEED THE ANSWER ASAP!!!

Answers

Answer:

b i think

Step-by-step explanation:

PLEASE HELP AND PLEASE MAKE YOUR EXPLANATION DETAILED!!!

if y=28 when x= 168, find y when x =108.

Answers

Answer: oke we give y=a*x

Step-by-step explanation:a=[tex]\frac{1}{6}[/tex]

[tex]\frac{y}{108}[/tex]=[tex]\frac{1}{6}[/tex]

=>y =18

Mikah bought a dozen cupcakes for her friend's birthday. If she paid $3.48 for the cupcakes, what was the cost per cupcake?
A.$0.28
B.$0.29
C.$1.80

Answers

Answer:

29 cents each

Step-by-step explanation:

B because you could divide $3.48 by 12 because there are 12 cupcakes in a dozen

what is 3 +3 divded by 4

Answers

Answer:3/2

Step-by-step explanation: 3+3/4

6/4=3/2

Answer:

1.5

Step-by-step explanation:

3+3=6

6/4 =1.5

The length of a rectangle is 3 more than twice its width. If the
perimeter of the rectangle can be no more than 78 ft, what are all of
the possible widths of
the rectangle?
.

Answers

Answer:

x <= 9.75

Step-by-step explanation:

W = x

L = 3x

P = 2L + 2W <= 78

2(3x) + 2(x) <= 78

6x + 2x <= 78

8x <= 78

x <= 9.75

A figure above the line y=-1 is reflected across the line y=-1 and then reflected across the line y=-5. Determine the slope and magnitude of the equivalent translation vector.

Answers

Answer:

s

Step-by-step explanation:

Help me plz! Really appreciate!
:D

Answers

D

point-slope is usually

y-y1=m(x-x1)

so thats how you get the answer

2(h+3.5)=-11. What is the value of h

Answers

Answer:

The value of h would be nine

Each side of a square patio is 10.5 feet. The patio is made up of 1.5 foot by 1.5-foot square stones. What is the number of stones in the patio? Look at the solution below.
Does it include all the steps needed to solve the problem? Explain

10.5 x 10.5 = 110.25 PLZ SOLVE THE PROBLEM
110.25 ÷ 1.5 = 73.5

Answers

The steps your teacher gave you are on the right track, but not quite 100% correct.

The first line has us find the area of the entire patio. That area being 110.25 square feet.

The next step is to find the area of each stone. That would be 1.5 x 1.5 = 2.25 square feet.

Therefore, the patio is made up of 110.25 ÷ 2.25 = 49 tiles

When arranged into a square, we'll have a 7 by 7 square set of stone tiles. Notice how 7 x 7 = 49.


The triangles are congruent. Write the congruence statement

Answers

Answer:

answerr is d

beacause the middle congruence which is c shoild be in the middle

Alexandra had a 15% coupn for movie tickets. The total cost of the movie tickets was $66. How much did she pay after the discount?

Answers

Answer:

$56.10

Step-by-step explanation:

Alexandra has a $66  ticket with a 15% discount. 15% of 66 is 9.9

Subtract the discount (9.9) from the cost $66

$66-$9.9= $56.10

Answer:

i think its 9.9

Step-by-step explanation:

just use a calculator

A loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks.
What is the ratio of boxes of socks to boxes of shoes?
26 : 83
26 : 57
57 : 83
57 : 26

Answers

The answer is 26:57

A bicycle has a speed of 6 m/s. What is its speed in km/h?
(1 km=1000 m)
(1 h = 3600 s)

Answers

answer:

m/s --- km/h = [tex]\frac{1000}{3600}[/tex]

km/h= [tex]\frac{5}{18}[/tex]

6m/s= [tex]\frac{6*5}{18}[/tex]

6m/s= 1.66 km/h

The speed of the bicycle in km/h is 21.6 km/h.

Given that;

A bicycle has a speed of 6 m/s.

Since we know that;

1 km = 1000 m

And, 1 hour = 3600 s

Hence change the speed of the bicycle in km/h as;

[tex]Speed = 6 m/s[/tex]

It can be equal to;

[tex]Speed = \dfrac{6 \times \dfrac{1}{1000} km }{\dfrac{1}{3600} seconds }[/tex]

[tex]Speed = 21.6 km/s[/tex]

Therefore, the speed of the bicycle in km/h is 21.6 km/h.

To learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ3

Find the output, h, when the input, x, is –18.
h=17+x/6
h=

Answers

Answer:

14

Step-by-step explanation:

h= 17 + -18/6

h= 17 + -3

h = 14

The sum of two unknown numbers is equal to -34

Please write this into an equation! :)

Answers

Answer:

a+b=-34

Step-by-step explanation:

a and b represent the two unknown numbers, which we know to sum to -34

I NEED HELP ASAP PLEASE NO LINKS!!!

Answers

Answer:

-31/4

Step-by-step explanation:

[tex]\frac{1}{2} ^{2}[/tex] is actually just (1/2)(1/2) and that equals 1/4

2 - (2/3) you can simplify to (6/3) - (2/3). that equals 4/3

now put it together!

(1/4) - 6(4/3)

(1/4) - (24/3) --------> (which simplifies to 8)

1/4 - 8 ----> (now you have to simplify this to match 1/4 denominator)

(1/4) - (32/4)

-31/4

msg or comment if you have any questions!

How many lines can be drawn through C that would be parallel to AB?

answer choices:

None

1

2

3 or more

Answers

Answer:

just 1 line cuz ab is already drawn and we have to draw one linewhich is parallel to ab.

Answer:

2 lines

Step-by-step explanation:

answeeeeeeeeeeeeer plzzzzzzzz

Answers

Answer:

x-18°+24°=180°[co interior angle]

x+6°=180°

x=180°-6°

x=174°

answer

Leila runs at 12 miles per hour. Find the number of miles she can travel if she runs for k less than 6 hours.

Answers

Distance is the product of speed and time. Hence, the distance covered by Leika is 12k - 72 miles.

Given that :

Speed = 12 miles per hour Run Time = k - 6

Recall :

Distance traveled = Speed × time

Distance covered by Leila can be calculated thus :

Distance = 12 × (k - 6)

Distance = 12k - 72

Therefore, the distance covered by Leila is 12k - 72 miles.

Learn more : https://brainly.com/question/18796573

For the time k less than 6 hours, the distance that Leila travel is less than 72 miles.

The given parameters;

speed of Leila, v = 12 miles per hourtime of motion of Leila = k < 6 hours

The maximum distance that Leila can travel in a time less than 6 hours is calculated as follows;

Distance < speed x time

Distance < 12 mph x 6 hours

Distance < 72 miles

Thus, for the time k less than 6 hours, the distance that Leila travel is less than 72 miles.

Learn more here:https://brainly.com/question/17859945

A car that travels 20 miles in 12hour at constant speed is traveling at the same speed as a car that travels 30 miles in 34 hour at a constant speed. Which of these explains or shows why? Select all that apply.Both cars are moving 10 miles in a quarter of an hour, so they are at the same speed.Both cars are moving a multiple of 10 miles.Both cars can travel 40 miles in an hour, so they are traveling at the same speed.Both cars have moved for less than an hour, so they are traveling at the same speed.

Answers

Answer:

wait I will give the answer in 2 minutes

Step-by-step explanation

PLEASE HELPPPP!!!! Ugh

Answers

1. 180°-∠CBE=90°,90°=∠ABC,90=2x+3x,90=5x,x=18,∠ABD=36°,∠DBC=54°

b + 2 = -18 find what the letter b means

Answers

Answer:

b = -20

Step-by-step explanation:

b + 2 = -18

b = -20

Answer:

b= -20

Step-by-step explanation:

the first step is to subtract 2 from both sides of the equation.

b + 2 = -18

   -2      -2

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

the -2 and +2 cancel

b = -20

hope this helps! :D

Estimate the following square and cube roots by using the above process. Circle
any Rational Roots.

Please help❗️❗️❗️❗️❗️

Answers

The estimates of the square roots and cube roots using the attached process are;

1) √15 = 3.81

2) √44 = 6.6.

3) √81 = 9

4) ∛12 = 2.88.

5) ∛125 = 5

6) ∛320 = 6..8

The process we are to follow is shown in the attachment.

The first thing we are to do is to list all the perfect squares from 1 to 100 and then do the same for all perfect cubes from 1 to 1000.

Perfect squares from 1 to 100; 4, 9, 16, 25, 36, 49, 64, 81, 100

Perfect cubes from 1 to 1000; 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.

1) √15;

The nearest perfect squares to it are; 9 and 16

Thus; √9 < √15 < √16

⇒ 3 < √15 < 4

This means that √15 is between 3 and 4.

Since 15 is closer to 16 than 9, it means √15 is closer to 4 and thus, we can estimate √15 as 3.81.

2) √44;

The nearest perfect squares to it are; 36 and 49

Thus; √36 < √44 < √49

⇒ 6 < √44 < 7

This means that √44 is between 6 and 7.

Since 44 is closer to 16 than 9, it means √44 is closer to 6 and thus, we can estimate √44 as 6.6.

3) √81

This is a perfect square and the method used to estimate other non-perfect square doesn't apply here. Thus; √81 = 9

4) ∛12

The nearest perfect cubes to it are; 8 and 27

Thus; ∛8 < ∛12 < ∛27

⇒ 2 < ∛12 < 3

This means that √12 is between 2 and 3.

Since 12 is closer to 8 than 27, it means ∛12 is closer to 2 than 3 and thus, we can estimate ∛12 as 2.88.

5) ∛125

This is a perfect cube and the method used to estimate other non-perfect cubes doesn't apply here. Thus; ∛125 = 5

6) ∛320

The nearest perfect cubes to it are; 216 and 343

Thus; ∛216 < ∛320 < ∛343

⇒ 6 < ∛320 < 7

This means that ∛320 is between 6 and 7.

Since 320 is closer to 343 than 216, it means ∛320 is closer to 7 than 6 and thus, we can estimate ∛320 as 6..8

Read more at; https://brainly.in/question/39745029

23 What is the solution to this equation?
2x + 3 = x - 4

Answers

Answer:

x = -7

Step-by-step explanation:

2x + 3 = x - 4

~Subtract 3 to both sides

2x = x - 7

~Subtract x to both sides

x = -7

Best of Luck!

Answer:

Hello!!

Solving for the equation [tex]2x+3=x-4[/tex] ... the correct answer would be

[tex]x=-7[/tex]

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolate the variable

Hope this helps!!

What is 1+1?
Thought since there doesn’t seem to be any big point questions, I’d give some to ya’ll.

Answers

Answer: 2

Step-by-step explanation: Thank you

Answer:

The answer is 2

16. For any two integers a and b, (a + b)2 = a² + b2
true or false

Answers

Answer:

false is the answer ........

The statement is false.

Solution:

(a+b)^2 = (a+b)(a+b)= a^2 + ab + ab + b^2= a^2 + 2ab + b^2

So the statement is false and the correct statement is:

For any two integers a and b, (a+b)^2 = a^2+2ab+b^2.

A smartphone costs $140. Sales tax is 4%. What is the total cost, including tax?

Answers

Answer:

145.60

Step-by-step explanation:

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