What is the inverse of the function f(x) = one-quarterx – 12?

Answers

Answer 1

Answer:

y = 4x - 48

Step-by-step explanation:

y = 1/4 x - 12

x = 1/4 y - 12

4x = y - 48

y = 4x - 48

Answer 2

Answer:

[tex]f^{-1}[/tex] (x) = 4x + 48

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = [tex]\frac{1}{4}[/tex] x - 12 ( multiply through bt 4 to clear the fraction )

4y = x - 48 ( add 48 to both sides )

4y + 48 = x

Change t back into terms of x with x = [tex]f^{-1}[/tex] (x)

[tex]f^{-1}[/tex] (x) = 4x + 48


Related Questions

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y - 3 = 1/2 (x - 1). What is the slope-intercept for of the equation for this line?

A.) y = 1/2x + 2

B.) y = 1/2x - 4

C.) y = 1/2x + 5/2

D.) y = 1/2x - 7/2

PLEASE HELP!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

To convert from point-slope form to slope-intercept form, we can simplify and isolate the y.

We have the equation:

[tex]\displaystyle y-3=\frac{1}{2}(x-1)[/tex]

Distribute the right-hand side:

[tex]\displaystyle y-3=\frac{1}{2}x-\frac{1}{2}[/tex]

Add 3 to both sides:

[tex]\begin{aligned} \displaystyle y&=\frac{1}{2}x-\frac{1}{2}+3\\\\&=\frac{1}{2}x-\frac{1}{2}+\frac{6}{2}\\\\&=\frac{1}{2}x+\frac{5}{2}\end{aligned}[/tex]

Our answer is C.

Dado un rectángulo cuya base, lado mayor es 15 cm y cuya altura, lado menor, es 10 cm. Calcular el perímetro y el área
ayuda es para hoy doy 5 estrellas

Answers

Answer:

Área de un rectángulo = 150 cm²

El perímetro de un rectángulo = 50 cm

Step-by-step explanation:

Área de un rectángulo = largo × ancho (alto)

= 15 cm × 10 cm

= 150 cm²

El perímetro de un rectángulo = 2L + 2W

Donde L = longitud = 15 cm

W = Ancho = 10 cm

= 2 (15 cm) + 2 (10 cm)

= 30 + 20

= 50cm

i need help like asap!!!!

Answers

Answer:

to do this lets first solve this so

5*5*5*5=625

5^-3=0.008

0.008^2=0.000064

0.000064*625=0.4

so all equations that are equal to 0.4 are right which is C

is 2x+3y=5 a straight-line graph​

Answers

Answer:

Yes, it is

Step-by-step explanation:

A straight line graph is of the general form;

y = mx + b

where m is the slope and b is the y intercept

We can rewrite what we have as

3y = -2x + 5

y = -2x/3 + 5/3

As we can see, it can be expressed in the general form and that makes it a straight graph

The quantity p varies inversely as the square of (q + 2)
p=5 when q = 3
Find p when q = 8​

Answers

Answer:

p = 1.25

Step-by-step explanation:

varies inversely

p (q + 2)² = k

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

Find k

p=5 when q = 3

5(3 + 2)² = k

5(25) = k

125 = k

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

Find p when q = 8​

p(8 + 2)² = 125

p(100) = 125

divide both sides by 100

p = 1.25

749
B
C
(2y +34)
Okay

Answers

...........................

probability please help i will give brainliest

Answers

There are (5 C 1) = 5! / (5 - 1)! = 5 ways of drawing a red marble, and (11 C 1) = 11! / (11 - 1)! = 11 ways of drawing any marble, so that the probability of drawing a red marble is 5/11.

After putting back the first marble, the probability of drawing another red is again 5/11.

So the probability of drawing 2 red marbles with replacement is (5/11)² = 25/121.

pls help plsssss sss sss sss s

Answers

25√2

Step-by-step explanation:

Since angle BAC and angle ABC are equal, AB = BC.

Let x = AB = BC

By the Pythagorean theorem,

AB² + BC² = AC²

x² + x² = 50²

2x² = 2500

x²= 1250

x = √1250

x = √(2 • 625)

x = √2 • √625

x = √2 • 25

x = 25√2

x = AB = 25√2

Which Statement or Inequalities describe the number line graph?

Answers

I might be wrong but:

x is less than negative three and x is greater than or equal to negative one.

Inequality is x<-3 and x ≥ -1

Written as a simplified polynomial in standard form, what is the result when (2x - 7) ^ 2 is subtracted from 1?

Answers

Answer:

ans: -4( x-3 )( x-4 ) I.e -4( x² + x - 12 )

Step-by-step explanation:

as per question

1- (2x-7)²

= (1 + 2x - 7)(1- 2x + 7)

= ( 2x - 6)(-2x +8)

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

The simplified form of [tex](2x-7)^{2}[/tex] is [tex]4x^{2} +49-28x[/tex].

And we get, [tex]-4x^{2} -48+28x[/tex] when we subtract [tex](2x-7)^{2}[/tex] from 1.

What is the polynomial?

Polynomials are algebraic expressions that consist of variables and coefficients.

What is the identity for [tex](a-b)^{2}[/tex]?

[tex](a-b)^{2} =a^{2} +b^{2} -2ab[/tex]

According to the given question

We have a polynomial [tex](2x -7)^{2}[/tex].

Therefore, the simplified form of [tex](2x-7)^{2}[/tex] is given by

[tex](2x-7)^{2} =(2x)^{2} +(7)^{2} -2(2x)(7)[/tex]

⇒[tex](2x-7)^{2} =4x^{2} +49-28x[/tex]

Therefore, the simplified form of [tex](2x-7)^{2}[/tex] is [tex]4x^{2} +49-28x[/tex].

Now,

[tex]1-(4x^{2} +49-28x)= 1-4x^{2} -49+28x[/tex]

⇒[tex]1-(4x^{2} +49-28x)=-4x^{2} -48+28x[/tex]

Hence, we get [tex]-4x^{2} -48+28x[/tex] when we subtract [tex](2x-7)^{2}[/tex] from 1.

Learn more about polynomials here:

https://brainly.com/question/11536910

#SPJ2

Which of these shows 9 + 4p rewritten using the commutative property of addition?
4p + 9
9p + 4
9 − 4p
4p − 9

Answers

Answer:

[tex]4p + 9[/tex]

Step-by-step explanation:

Commutative property of addition:

Changing the order of addends does not change the sum.

Hope it is helpful...

Answer:

4p+9

Step-by-step explanation:

Addition is the same reversed.

For example,

7+5=12

AND

5+7=12

The sides of ∆ are 8 cm, 7 cm and 5 cm respectively. Find its semi-perimeter

Answers

perimeter = length plus

breadth

8cm +7cm + 5cm

= 20

Simplify variable expressions involving like terms and the distributive property

Answers

Answer:

gracias por los puntos xd

Devons current financial goals are to reduce his credit card debt start a retirement plan and save for a down payment on a house which smart goal attribute in the table applies to each of devons financial goals

Answers

Answer:

timely, timely,measurable

Step-by-step explanation:

Answer:

specific, timely, measurable

Step-by-step explanation:

i took the test on plato

What is the area of a rectangle with vertices at 4,3 11,3 11,9 4.9

Answers

Answer:

42 units²

Step-by-step explanation:

the area = (11-4) × (9-3)

=7×6 = 42 units²

HELP NOW!!! Yani buys 4 dozen flyers for $7.80. What is the unit rate?

Answers

Answer:

1.95

Step-by-step explanation:

Kevin buys the items listed below at a grocery store. 3 packages of chicken priced at $12.36 per package 12 pound of broccoli priced at $1.98 per pound 1 gallon of milk priced at $6.48 per gallon There is no sales tax on the food she buys. Susan pays for the items and receives $0.45 in change. What amount of money does Kevin use to pay for the items?

Answers

Answer:

67.77$ Kevin use to pays for the items.

Step-by-step explanation:

According To the Question, We have

Kevin buys the item listed below at a grocery store

3 Packages of chicken priced 12.36$ per package = 12.36×3=37.08$12 Pound of Broccoli Priced 1.98$ per pound = 1.98×12 = 23.76$1 gallon of milk priced 6.48$ per gallon = 6.48×1 = 6.48$

Now, Kevin Pays for the items and receives 0.45$ in Change.

Amount of Money Kevin Pays

6.48$+23.76$+37.08$+0.45$ = 67.77$

how do i solve for x with an equation that says 19 = x - 3

Answers

Answer: x = 22

Step-by-step explanation: Since x is unknown, we want to isolate it and determine what it equals. We know that x - 3 gives us 19, but we don't want to know what x - 3 is, just x. So we can add three to both sides of the equation, to get our answer and keep it balanced. As a result, we get x = 22

Answer:

x = 22

Step-by-step explanation:

19 = x - 3

Add 3 to each side

19 + 3 = x - 3 + 3

Simplify

22 = x

25 points!!!!!!!!!!!!!!!!!!!!!!
2x+2y=, for ,x=-2,y=5

Answers

Answer:

6

Step-by-step explanation:

2x+2y=2*(-2)+2*5=6

Answer:

6

Step-by-step explanation:

Substitute x = - 2, y = 5 into the expression

2x + 2y

= 2(- 2) + 2(5)

= - 4 + 10

= 6

In parallelogram QRST if m∡TQR=50∘ find m∡STQ.

Answers

Answer:

[tex] {x }^{o} = {130}^{o} [/tex]

Step-by-step explanation:

[tex] {50}^{o} + {x}^{o} = {180}^{o} [/tex]

[tex] {x}^{o} = {180}^{o} - {50}^{o} [/tex]

[tex] {x }^{o} = {130}^{o} [/tex]

Hope it is helpful....

Answer:

x= 130°

Step-by-step explanation:

hope it helps

Keegan deposited $700 into his bank account. After one year, his bank account balance was $761.60. What interest rate did he earn?

Answers

Answer:

8.8%

Step-by-step explanation:

We first divide the new amount by the original and close it with brackets.

Our one year will be shown as 1/1 as an indices

(761.60/700)^1/1

= 1.088

We then convert it to 0.088 and times it by 100.

0.088×100= 8.8% Compound interest rate.

This is correct as:

700×1.088= 761.6

Have a nice day! :)

Find the reciprocal of 9.

Answers

the reciprocal of 9 is 1 divided by 9, i.e. 1/9

Solve 4(x - 3) - 2x - 1) > 0​

Answers

Answer:

x > 5.5

Step-by-step explanation:

4(x - 3) - (2x - 1) > 0

4x - 12 - 2x + 1 > 0

4x - 2x - 11 > 0

2x - 11 > 0

2x - 11 + 11 > 0 + 11

2x > 11

2x ÷ 2 > 11 ÷ 2

x > 5.5

Answer:

x>13/2

Step-by-step explanation:

4x-12-2x-1>0

2x-13>0

2x>13

X>13/2

Solve the system of equations: y=2x+1. y=x^2+2x-8

Answers

Answer:

Step-by-step explanation:

Answer:

(- 3, - 5 ) , (3, 7 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 1 → (1)

y = x² + 2x - 8 → (2)

Substitute y = x² + 2x - 8 into (1)

x² + 2x - 8 = 2x + 1 ( subtract 2x + 1 from both sides )

x² - 9 = 0 ( add 9 to both sides )

x² = 9 ( take the square root of both sides )

x = ± [tex]\sqrt{9}[/tex] = ± 3

Substitute these values into (1) for corresponding values of y

x = - 3 : y = 2(- 3) + 1 = - 6 + 1 = - 5 ⇒ (- 3, - 5 )

x = 3 : y = 2(3) + 1 = 6 + 1 = 7 ⇒ (3, 7 )

HELP PLEASE! 50 points

Answers

Answer:

D. 270°

Step-by-step explanation:

mADC = 360° - m∠AOCmADC = 360° - 90° = 270°

Correct choice is D

Answer:

D. 270°

Step-by-step explanation:

Can someone pls help me?

Answers

Answer:

4 a

9 b

i think its a answer

Answer:

if we have to choose the option than it might be B but i didn't get question

this we havent learned but teacher gave us for end of year est plz help

Answers

Answer:

15

Step-by-step explanation:

Finding total number of pupils(y)

3/y x 360°=27°

3x360°/y=27°

1080°/y=27°

1080°=27°y

1080°/27°=27°y/27°

40=y

Number of pupils who said that Maths was their favorite (z)

z/40x360°=135°

360°z/40=135°

360°z=135°x40

360°z=5400°

360°z/360°=5400°/360°

z=15

I need help in this question

Answers

Answer:

the think the answer is €170

because 15000+20/100

= 170

What is in ? Record the measurement.

Answers

Answer:

In could be mean inches? otherwise there is not enough context to know sorry :/

Step-by-step explanation:

Answer:the answer is 90

What is the slope of the line that passes through the points (3,2) and (-4,3)?​

Answers

Answer:

slope = 1/-7

Step-by-step explanation:

We have two points which are (3,2) and (-4,3) .

To find slope , use the slope formula

m = ( y² - y¹ ) / ( x² - x¹)

Where,

m is the slope of line.( y² - y¹ ) = ( 3 - 2 )( x² - x¹) = ( - 4 - 3)

substitute the values

m = ( 3 - 2 ) / ( - 4 - 3)

m = 1/-7

Hence, slope of line is 1/-7

Other Questions
Photosynthesis and cellular respiration are both complementary and relatively balanced on modern Earth, but early history of life on Earth showed increasing oxygen concentrations 2.5-2 billion years ago. This indicates that Write the expanded form of the expression.y(0.5+6)y(0.5+ 6) =(Simplify your answer. Use integers or decimals for any numbers in the expression.) Tania is buying a guitar. Guitar Central has 20% off coupons available, and has the guitar Tania wants for $349. Music Mart has the guitar Tania wants for $419, but is offering a $200 rebate. Which is the better deal? _________________________________________________________________________________________ The wordhivehas more than one meaning. Explain the two most likely meanings of the wordhivein Jean Toomer's poem "Beehive." (Read the poem below.) Then explain how the word makes the poem more meaningful. Using cost behavior patterns MFG Company experiences the following cost behavior patterns each week: Fixed costs: supervisors salary $1,600; factory rent $3,700 Mixed costs: utilities $2,100 + $6.75 per unit Variable costs per unit: manufacturing labor wages $23.00; supplies used in production $10.00; packaging cost $3.75; warranty cost $4Required:Compute total costs to be incurred for a week with 2,750 units of activity. They ____________ their homework yet. * can someone help me with this maths question? workings would be appreciated :]Adrian, Ben and Charlie share some sweets in the ratio 8:5:10Charlie got 20 more sweets than Adrian.Work out the total amount of sweets. The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination.A graph on a coordinate plane titled Distance Remaining Over Time. The x-axis is labeled time (in hours), numbered 1 to 8, and the y-axis is labeled miles to destination, numbered 50 to 400. A straight line with a negative slope starts at point (0, 350) and ends at point (7, 0).Which statement is true?It took Michelle 6 hours to complete the trip.For each hour that Michelle drove, she traveled an additional 50 miles.In the first 6 hours, Michelle had traveled a total of 50 miles.In the first 3 hours, Michelle had traveled a total of 200 mile\ Mr Tay had 265 m of wire.He cut the wire into 4 equal pieces with 25 m left over.What was the length of each equal piece of wire? Instant Dinner comes in packages with weights that are normally distributed, with a standard deviation of 0.5 oz. If 2.3% of the dinners weigh more than 13.2 oz, what is the mean weight? Which of the following is an arithmetic sequence?O A. 1,3,9,27,..O B. 1,0,1,0,1,0,...O C. 800, 200, 50,...O D. 10.7.4 1.-2... 10 points!!!!!! 16-20 please answer correctly and hurry please Which statement best completes the diagram effect some Mongol Empire on China Which type of chemistry studies the chemical reactions that occur in the human body?O biochemistryO materials chemistryO physical chemistryO environmental chemistry What is the remainder for the synthetic division problem? Find the value of x that makes A || B.ANB5522 = 3x 10 and 23 = x + 30x= [?]IEnter Consider a maximization linear programming problem with extreme points xi, x2, Xz. and x4. and extreme directions d1,. d2, and dz. and with an objective function gradient e such that cx1 =4, cx2 = 6, cx3= 6, cx4=3, cd1= 0, cd2=0, and cd3=2. Characterize the set of alternative optimal solutions to this problem. The exponent on b when b^3 is multiplied by b^3 isA. 3B. 6C. 9 explain briefly the procedures in making arrest find the value x in the figure :