Find the inverse of each of the given functions.
f(x) = 4x - 12

Answers

Answer 1
Answer:

(x + 12) / 4

Explanation:

This was the way I was taught, hopefully it helps you.

y = 4x - 12

x = 4y - 12

x + 12 = 4y

(x + 12) / 4 = y

Related Questions

"la temperatura mas baja conocida en la tierra es de 273° bajo cero mientras que la temperatura promedio de la superficie de la tierra es de 37 calcula la variacion de la temperatura"

Answers

Answer:

Variación de temperatura: 310°C

Step-by-step explanation:

La variación de temperatura entre la temperatura más baja conocida en la tierra (-273°C = 273° bajo cero) y la temperatura promedio de la tierra (37°C) será el valor absoluto de la diferencia de estos dos valores, es decir:

Variación de temperatura: |-273°C - 37°C|

Variación de temperatura: |-310°C|

Como el valor absoluto de un número negativo es su valor positivo (|-x| = x)

Variación de temperatura: 310°C

The sum of 3 consecutive odd number is 53 What is the second number in the sequence

Answers

Answer:

Step-by-step explanation:

Let

x = first odd number

x + 2 = second odd number

x + 4 = third odd number

Total = 53

53 = x + (x + 2) + (x + 4)

53 = x + x + 2 + x + 4

53 = 3x + 6

53 - 6 = 3x

47 = 3x

x = 47/3

x = 15.7

x + 2 = second odd number

15.7 + 2 = 17.7

Second number = 17.7

how do i estimate 260000?

Answers

Answer:

260000

Estimate = 300000

For her phone service, Lucy pays a monthly fee of $25, and she pays an additional $0.06 per minute of use. The least she has been charged in a month Is
$103.72
What are the possible numbers of minutes she has used her phone in a month?
Usem for the number of minutes, and solve your inequality for m.
DO

Answers

Answer:

1312.5 minutes

Step-by-step explanation:

For her phone service, Lucy pays a monthly fee of $25, and she pays an additional $0.06 per minute of use. The least she has been charged in a month Is $103.72

What are the possible numbers of minutes she has used her phone in a month?

Use m for the number of minutes, and solve your inequality for m.

The term least = ≥ = greater than or equal to

Our inequality equation is given as:

$25 + $0.06 × m ≥ $103.72

25 + 0.06m ≥ 103.72

0.06m ≥ 103.72 - 25

0.06m≥ 78.75

m ≥ 78.75/0.06

m ≥ 1312.5 minutes

The possible number of minutes she used is 1312.5 minutes

Write the trigonometric expression in terms of sine and cosine, and then simplify. cot()/sin()-csc()

Answers

Answer:

First, we know that:

cot(x) = cos(x)/sin(x)

csc(x) = 1/sin(x)

I can't know for sure what is the exact equation, so I will assume two cases.

The first case is if the equation is:

[tex]\frac{cot(x)}{sin(x)} - csc(x)[/tex]

if we replace cot(x) and csc(x) we get:

[tex]\frac{cot(x)}{sin(x)} - csc(x) = \frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)}[/tex]

Now let's we can rewrite this as:

[tex]\frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)} =\frac{cos(x)}{sin^2(x)} - \frac{1}{sin(x)}[/tex]

[tex]\frac{cos(x)}{sin^2(x)} - \frac{sin(x)}{sin^2(x)} = \frac{cos(x) - sin(x)}{sin^2(x)}[/tex]

We can't simplify it more.

Second case:

If the initial equation was

[tex]\frac{cot(x)}{sin(x) - csc(x)}[/tex]

Then if we replace cot(x) and csc(x)

[tex]\frac{cos(x)}{sin(x)}*\frac{1}{sin(x) - 1/sin(x)} = \frac{cos(x)}{sin(x)}*\frac{1}{sin^2(x)/sin(x) - 1/sin(x)}[/tex]

This is equal to:

[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1}[/tex]

And we know that:

sin^2(x) + cos^2(x) = 1

Then:

sin^2(x) - 1 = -cos^2(x)

So we can replace that in our equation:

[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1} = \frac{cos(x)}{sin(x)}*\frac{sin(x)}{-cos^2(x)} = -\frac{cos(x)}{cos^2(x)}*\frac{sin(x)}{sin(x)} = - \frac{1}{cos(x)}[/tex]

7.
If cos θ= 0.866, find θ, writing your answer to the nearest degree.

Answers

See attachment for reply and answer.

Help I need help I’m struggling

Answers

Answer:

the slope is 3/2

Step-by-step explanation:

Answer:

1.5

Explanation:

the slope of the line can be calculated by rise ÷ run, or the vertical increase divided by the horizontal increase. we can see that from the point (1,-3) to the point (3,0), the line increases vertically by 3 and horizontally by 2.

since the line is moving upwards, it is positive.

thus, the slope of the line is 3 ÷ 2 = 1.5.

You drive 150 miles in 3 hours. At this rate how far would you travel in 7 hours

Answers

Answer:

350 miles in 7 hours

Step-by-step explanation:

If you drive 150 miles in 3 hours, you need to find the "base" meaning how many miles you can go to by 1 hour. To do that you divide 150 with 3 Which equals to 50. So in 1 hour you can travel up to 50 miles. But we need to find how many miles you can go by 7 hours. For that you multiply 50 with 7.

Therefore the answer is 350 miles.

Kate conducts a survey at her middle school to determine the students' favorite sport. Which sampling method would best produce a representative sample of the population?

Answers

Incomplete question. The missing options read;

a. Kate surveys every 8th student from a roster of the choir members.

b. Kate surveys the football team.

c. Kate surveys seventh-grade students.  

d. Kate surveys every 4th student entering the school.

Answer:

d. Kate surveys every 4th student entering the school.

Step-by-step explanation:

Interestingly, after careful examination of all the listed sampling methods, none except option d would best produce a representative sample of the population.

This is because;

in the first, second, and third option, none of them evenly represents the entire school population; meaning it fails to produce a representative sample of the population.

However, if Kate surveys every 4th student entering the school, then chances of getting a representative sample of the entire school population are very likely; as different grade level students would likely be entering into the school when the survey activity is taking place.

if dillon read 5 articles, how many social media posts did he read

Answers

Answer:

Not enough information to answer this question.

find the value of X

Answers

Answer:

x = [tex]\frac{91}{6}[/tex]

Step-by-step explanation:

Given 2 intersecting chords in a circle, then

The product of the parts of 1 chord is equal to the product of the parts of the other chord, that is

6x = 7 × 13 = 91 ( divide both sides by 6 )

x = [tex]\frac{91}{6}[/tex]

What is the measure of <C? Round your answer to the nearest tenth of a degree.

A 73.4
B 74.1
C 106.6
D 100.7​

Answers

Given:

In triangle [tex]ABC, AB=9,BC=4,AC=7[/tex].

To find:

The measure of angle C.

Solution:

We have, [tex]AB=9,BC=4,AC=7[/tex]. It means [tex]c=9,a=4,b=7[/tex].

According to the law of cosines:

[tex]cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

[tex]cos C=\dfrac{4^2+7^2-9^2}{2(4)(7)}[/tex]

[tex]cos C=\dfrac{16+49-81}{56}[/tex]

[tex]cos C=\dfrac{-16}{56}[/tex]

Taking cos inverse on both sides, we get

[tex]C=cos^{-1} \dfrac{-16}{56}[/tex]

[tex]C=106.60155[/tex]

[tex]C\approx 106.6[/tex]

Therefore, the correct option is C.

help please by tonight !! Thank you (answer only)

Answers

Answer:

5.) 48

6.) 60

It's the other half of the triangle.

find to the nearest degree the size of each angle of a regular heptagon
plsss i need answers nowwww​

Answers

Answer:

That's the question

Step-by-step explanation:

Ok so for this one your need the formula, S = (n- 2) x 180
A pentagon has 7 sides so 7-2 =5 and 5x180 = 900
Answer is 900 for the entire pentagon. Now if it were only one side of the pentagon angle then you’d divide 900 by 7 you get something around 128.57 degrees. Hope this helps!

What is the lateral area of the can below that has a diameter of 8 and a height that is three times the radius? Round to the nearest tenth. [Hint: Find the radius first]

Answers

Answer:

402.1

hope it helps

please mark Brainliest

How would you solve this?

Answers

Answer:

f(x) = (1/5)^x

Step-by-step explanation:

We have

x = 1, f(x) = 1/5

x = 0, f(x) = (1/5)^0 = 1

x = 2, f(x) = (1/5)^2 = 1/25

That means we have

f(x) = (1/5)^x

Answer:

f(x)=[tex]5^{-x}[/tex]

Step-by-step explanation:

Not sure if this is what you're looking for but i hope this helps

if y varies directly with x and y=60 when x =15 find k and write an equation of direct variation

Answers

Answer:

k=45

equation: y=x+45

Step-by-step explanation:

60=15+k

substract 15 on both sides to get 45=k

y=2/3x+2. I need help

Answers

2 is the y intercept and 2/3 is the slope.. if you need help graphing it go up 2 and over 3 continuously until you get a line.. hope this helps

Answer:

Using the slope-intercept form, the slope is 23, but you will have to combine 2/3 and x. y= 2x/3+2

Step-by-step explanation:

if this helped subscribe to amiredagoat Yt

The distance between A (-4, 2) and B(4, 2) is.

Answers

Step-by-step explanation:

the answer is 8 units

I remember I had this

The answer to this would be highly appreciated

Answers

Answer:

SA = 254 cm²

Steps:

SA = 2(L×W) + 2(H×L) + 2(H×W)

given:

L = 9 cm

W = 4 cm

H = 7 cm

SA = 2(9×4) + 2(7×9) + 2(7×4)

SA = 2×36 + 2×63 + 2×28

SA = 72 + 126 + 56

SA = 254 cm²

Consider the function: h(x) = 11 - 3x What is h(-2) ?​

Answers

Answer:

17

Step-by-step explanation:

11-3x

11-3(-2)

11+6

Hence, 17

Hope it helps!

The evaluation is 17 when h(-2) of h(x) = 11-3x.

What is a function?

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co domain, and domain for every function.

The given function is

h(x) = 11-3x

when x = -2

h(-2) = 11-3(-2)

       = 11 + 6

        = 17.

Therefore, the h(x) = 11-3x is 17 when x = -2

To learn more about the function;

brainly.com/question/28303908

#SPJ2

Which of the following expressions represents the distance between −3.9 and −4.7?

NEED NOW

Answers

i hope this helps and yea i guess

The diagram shows a field ABC.

AC = 240 m

Use the sine rule to calculate AB.

Answers

Answer:

AB ≈ 312.1 m

Step-by-step explanation:

Using the Sine rule in the triangle, then

[tex]\frac{AB}{sin85}[/tex] = [tex]\frac{240}{sin50}[/tex] ( cross- multiply )

AB × sin50° = 240 × sin85° ( divide both sides by sin50° )

AB = [tex]\frac{240sin85}{sin50}[/tex] ≈ 312.1 m ( to 1 dec. place )

Find the surface area of the square pyramid (above) using its net (below)​

Answers

Answer:

please where is the above square pyramid

Step-by-step explanation:

please I wish I could help you but your question is in complete

Molly is using a map with a scale of 12 = 40 molly needs to travel from point x to point y how far does she need to travel

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Ratio=12:40[/tex]

Required

Determine the actual distance between x and y

The question is incomplete, as the scale distance between x and y is not given.

To solve this, we make assumptions.

A scale measurement is represented as:

[tex]Ratio = Scale : Actual[/tex]

So, we have:

[tex]Scale : Actual = 12 : 40[/tex]

Express as fraction

[tex]\frac{Actual}{Scale} = \frac{40}{12}[/tex]

Make Actual, the subject

[tex]Actual = \frac{40}{12} * Scale[/tex]

Now, assume that the distance between x and y is 60 (on the scale), the actual distance traveled will be:

[tex]Actual = \frac{40}{12} * 60[/tex]

[tex]Actual = 200[/tex]

A bag contains 6 green marbles, 5 blue, and 9 red. What is the probability that you will select two green marbles from the bag?

Answers

Answer:

2/20

Step-by-step explanation:

if you add all of the marbles you will get 20 marbles in total.

Giving brainlist to whoever answers

Answers

Answer:

84+ z =180

Step-by-step explanation:

42 x 2=84

84+ z =180

What is Common denominator of 1/6 and 3/4? 30, 48, 20, or 64?

Answers

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

A landing pad for a helicopter is in the shape of a circle with a radius of
7 meters. Which of the following is
closest to the area of the landing pad?
A. 44 square meters
B. 154 square meters
C. 205 square meters
D. 308 square meters

PLEASE NO LINKS!

Answers

Answer:

154 m^2

Step-by-step explanation:

Area of a circle:  A = (pi)(radius)^2

Here, r = 7 m, so A = (3.14)(7 m)^2 = 154 m^2

HELP PLEASE DUE SOON!!!

Answers

Answer:

37+23

Step-by-step explanation:

I searched it up. someone else asked the exact same question. I hope it's correct though.

Answer:

The larger number is 37 and the smaller number is 14.

Step-by-step explanation:

Let's solve this problem in terms of x and y:

x+y=60

x-y=14

x will be the larger number while y will be the smaller number.

When we add both those equations together, we get 2x=74 since y-y=0. Now we do 74÷2 which equals 37 so x=37. Finally we know that x=37 so our y  must be the remaining part since x+y=60. We simply subtract 37 from 60 and get our smaller number, 23.

I hope this helps :)

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