If f(x)=2x+4 and g(x)=3x-7; then find f^-1(x)

Answers

Answer 1

Answer:2x + 4

Step-by-step explanation:

if you divide two linear binomials, you will get a quotient that is a monomial with a remainder.  Use long division.

 

 

 

               2/3

            ___________

(3x - 7) |  2x + 4

              2x - (14/3)

             ___________

                    (14/3) + 4

 

 

Quotient is  2/3

 

Remainder =  (14/3) + (12/3) = 26/3

 

 

To check, we multiply the quotient by the divisor, then add the remainder to the result.

 

 

(2/3)(3x - 7) + (26/3) =

 

2x - (14/3) + (26/3) =

 

2x + (12/3) =


Related Questions

(4x + 8)
Solve for the value of x in the picture above.

Answers

Answer: C

Step-by-step explanation:

The triangle in the picture is an equilateral triangle. We know this is true because all sides are equal, as denoted by the tick marks. In equilateral triangles, each angle is 60° because when you add all the angles, you get 180°.

4x+8=60        [subtract both sides by 8]

4x=52            [divide both sides by 4]

x=13

Now, we know that C is the correct answer.

PLS HELP ASAP!!! 70 POINT QUESTION NO SCAM

WHAT IS THE MISSING NUMBER TO THE SUBTRACTION

Answers

Answer: 0.985

Step-by-step explanation: The answer shown is accurate.

Answer:

1-0.985

Step-by-step explanation:

0.985+0.015=1. How I figured it out is 1-x=0.015, it must be 0.985. Hope it helps!

I need help on how to solve 8 × 6 + (12 - 4) ÷ 2​

Answers

Answer:

42

Step-by-step explanation:

8x6+(8)/2

48+4

42

Answer:

52

Step-by-step explanation:

So in order to answer this question we are going to have to use the order of operations by starting with the parenthesis of subtracting 4 from 12:

8 × 6 + (12 - 4) ÷ 2​

12 - 4 = 8

Now the equation looks like this:

8 × 6 + 8 ÷ 2

Now we multiply 8 by 6 and dividing 8 by 2 because multiplication and division come first​:

8 * 6 = 48

8/2 = 4

So the equation looks like this:

48 + 4

We now add them together to get our answer:

48 + 4 = 52

So the answer to this equation is 8 × 6 + (12 - 4) ÷ 2​ = 52

Hope this helps you

HELP PLEASE IM GIVING BRAINLIST EEEEEEEE

Answers

Answer:

-4.1x - 6y + 3.6

Step-by-step explanation:

Distribute

-2 * 2.1x = -4.1

-2 *3y = -6y

-2 * -1.8 = 3.6

So that's the final answer

4.2-6y+3.6 is answer ur welcome

HELP MATH ASAP!!! MARKING BRAINLISETS

Answers

Answer:

y = -3x -16

Step-by-step explanation:

For problems like this, I like to start with a variation of the point-slope form of the equation of a line:

y = m(x -h) +k . . . . . for a line with slope m through point (h, k)

For your given values, this is ...

y = -3(x +3) -7

y = -3x -9 -7 . . . . eliminate parentheses; next, combine terms

y = -3x -16

Hope this helps! ;)

Answer:

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Step-by-step explanation:

11. What is the cost of four $5.00 small drinks with a sales tax of 6%? (answer in only numbers) PLEASE HELP ASAP

Answers

Answer:

$21.2

Step-by-step explanation:

cost without tax=$20

$20x106%=21.2

6 QUESTIONS!! Simplify, thankyou!!

1. (-2 + 7) - (g + 11)

2. (6d + 5) - (2 - 3d)

3. (4 - 5y) - 2(3.5y - 8)

4. (2n - 9) - 5(-2.4n + 4)

5. 1/8(-8c + 16) - 1/3(6 + 3c)

6. 3/4(3x + 6) - 1/4(5x - 24)

Answers

Answer: Check explanation

Step-by-step explanation: -g-6, 9d+3, -12y+20, 14n-29, -2c, x+21/2

Answer:

1. -g-6

2.  9d+3

3. -12y+20

4. 14n-29

5. -2c

6. x+21/2

Step-by-step explanation:

(PLEASE HELP IM TAKING A MATH QUIZ) Seventy parents showed up for a parent meeting at school. Mrs. Quinn set up 12 tables in the library for the meeting. The graph below displays this information.

Answers

Step-by-step explanation:

Depends on what the question if th question is how many more tables she need the answer is 1 if it asked how many ppl sit and each table 5 ppl and 12 tables and 1 at the last table other than that in confussed

nathan smiled at 50 people one day and recorded that 36 people smiled back at him.Based on his observations how many people should nathan expect to return a smile if he smiles at 650 people over a period of time

Answers

Given :

Nathan smiled at 50 people one day and recorded that 36 people smiled back at him.

To Find :

How many people should Nathan expect to return a smile if he smiles at 650 people over a period of time.

Solution :

Ratio of people smiled by total number of people is :

[tex]R = \dfrac{36}{50}[/tex]

Now, it is given that we have to use the given conditions.

Therefore, ratio will be same :

[tex]\dfrac{s}{650}=\dfrac{36}{50}\\\\s = \dfrac{36}{50}\times 650\\\\s = 468[/tex]

Therefore, number of smiles Nathan expect to return is 468.

Find the lenght of the unknown side. Round it to the nearest tenth
A.9.4 m
B.88 m
C.15.8 m
D.4 m

Answers

The answer is 9.4. Use pythagorean theorem. C^2 is 13 and B^2 is 9, so 13^2 - 9^2 = 88. the. to get 88 back to A^2 , find the square root.

I need some help y'all hmu

Answers

omg thats so weird cause im learning that exact thing rnnn

4.75,4.75 exponent form​

Answers

2.36................!!!!!!!!!!!
2.36:::::::::::::::://///////////:::::

A family has three children.The oldest is 4 years older than the middle,and the youngest child is 2 years younger than the middle child.The sum of the ages of the children is 26.

Answers

Answer:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

Step-by-step explanation:

Let us represent:

The age of the youngest child = x

The age of middle child = y

The age of the oldest child = z

The sum of the ages of the children is 26.

Hence: x + y + z = 26...... Equation 1

The oldest is 4 years older than the middle

z = 4 + y

The youngest child is 2 years younger than the middle child

x = y - 2

Hence, we substitute 4 + y for z and y - 2 for x in Equation 1

x + y + z = 26...... Equation 1

y - 2 + y + 4 + y = 26

y + y + y -2 +4 = 26

3y + 2 = 26

Subtract 2 from both sides

3y + 2 - 2 = 26 - 2

3y = 26 - 2

3y = 24

y = 24/3

y = 8

Solving for x

x = y - 2

x = 8 - 2

x = 6

Solving for z

z = 4 + y

z = 4 + 8

z = 12

Therefore:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

PLZ HELP URGENT !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

its 7. but try socratic

Is the triangle congruent by SSS, SAS, or ASA. What is the congruent statement for the shape

Answers

Answer:

SAS

Step-by-step explanation:

I hope this helps you out!

Please give me the correct answer ​

Answers

Answer:

11 units

Step-by-step explanation:

Not sure if you still need it but I hope this helps :)

Find the missing angle

Plssss help !!!

Answers

Answer:

120 degrees

Step-by-step explanation:

Place each job in order from highest to lowest by reading each description. Think about other civiliation
social classes!

Answers

Answer:

1. Priests and rulers of society.

2. Warriors

3. Merchants

4. Blacksmiths

Step-by-step explanation:

1. They were born into status and religion was a big part of society so priests would be treated well.

2. Warriors were able to work their way up in society and became respectable.

3. These were lower level people right  under warriors and didnt lead a bad life.

4. Rejects and weren't able to have rights

someone PLEASE help me with this ASAP!! (domain and range)

Answers

Answer:

domain is all your x values and range is all your y values

Step-by-step explanation:

-5, -1, 2, 4, 5 are the domain and 3, 5, 2,-5, and -2 are your range.

hope this helps!

-Jules

anyone know how I can solve this ? x = -2y - 1 ​

Answers

Step-by-step explanation:

put into y=mx+b form

2y=-x-1

devive both sides my 2

y = - x/2 - 1/2

Please, someone help? ​

Answers

Answer:

x = -5 + [tex]\sqrt{26}[/tex]

Step-by-step explanation:

f(x) = x² + 10x - 1

        x² + 10x = 1

        x² + 10x + 25 = 1 + 25

        (x + 5)² = 26

take the square root of each side to get:

        x + 5 = √26

        x = √26 - 5  or -5 + √26

       

Make
x
the subject of the formula
x

3
=
q

Answers

Answer:

x = q + 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

x - 3 = q

Step 2: Solve for x

Add 3 to both sides:          x = q + 3

the numbers of
You have a total of 10 coins consisting of nickels and dimes in your pocket. The value of the coins is $0.70. Write and solve a system of linear equations to
nickels and dimes in your pocket. Let x represent the number of nickels and let y represent the number of dimes.
System of equations
There are
nickels in your pocket and
dimes in your pocket

Answers

Answer:

6 nickels and 4 dimes

Step-by-step explanation:

6 times .05 is .30

4 times .10 is .40

just add them

.40 + .30 = .70

The equation should be:

.70 = .10y + .05x

I have 4 dimes and 6 nickels.

The question is ill-formatted. The following is the question.

You have a total of ten coins in your pocket, all of which are nickels and dimes. The total value of the coins is $0.70. To find nickels and dimes in your pocket, write and solve a system of linear equations. Let x represents the number of nickels and let y represent the number of dimes. Find the number of nickels and dimes.

How much is a cent?

One-hundredth of a dollar is equivalent to one cent.

How much is a nickel?

A nickel is worth 5 cents. That means $0.05.

How much is a dime?

A dime is worth 10 cents. That means $0.10.

How to solve the question?

As per the question,

conversion of the statements into mathematical equations:

"You have a total of ten coins in your possession, all of which are nickels and dimes."
this statement is converted into
x+y=10"The coins have a total value of $0.70."
this statement is converted into
0.05x+0.10y=0.70
⇒x+2y=14

Subtracting the above equation from the below equation we get y=4.
And by substituting y=4 in x+y=10 we get x=6.

Hence, I have 4 dimes and 6 nickels.

To learn more about the system of linear equations visit- brainly.com/question/19549073

#SPJ2


Pythagorean theorem to find the side of 16 20

Answers

Answer: 12

Step-by-step explanation:

Although you have not included which value is the hypotenuse or if they are legs, I will assume the hypotenuse is 20, due to the triangle appearing to be a multiple of the standard 3-4-5 triangle.

The pythagorean theorem is a^2+b^2=c^2, where a and b are the legs and c is the hypotenuse.  Thus, plug in the values to get:

[tex]16^2+b^2=20^2[/tex]

[tex]256+b^2=400[/tex]

[tex]b^2=144[/tex]

[tex]b=12[/tex]

Help me pls I need this by today

Answers

Answer: r=0.4 its a guess but i dont think thats a negitive slope it looks positive so :P

Step-by-step explanation:

Please help me with this plssss

Answers

Last option..................

Answer:

See below.

Step-by-step explanation:

The ones that work are:

3(1/8y + 2)3/8y + 61/8(3y + 48)

Someone help plz? I need some help

Answers

Answer:

[tex]AB =10.8166538264[/tex]

[tex]AB \approx10.8[/tex]

Step-by-step explanation:

[tex]A( - 5,6),B(1, - 3)[/tex]

[tex]A( - 5,6),B(1, - 3) \\ A( { x }_{ 1 } , { y }_{ 1 } ),B( { x }_{ 2 } , { y }_{ 2 } )[/tex]

[tex]AB = \sqrt{( { { x }_{ 2 } - { x }_{ 1 } ) }^{2} + {( { y }_{ 2 } - { y }_{ 1 } ) }^{2} } [/tex]

[tex]AB = \sqrt{ {(1 - - 5)}^{2} + {( - 3 - 6)}^{2} } [/tex]

[tex]AB = \sqrt{ {(1 + 5)}^{2} + { (- 3 - 6)}^{2} } [/tex]

[tex]AB = \sqrt{ {(6)}^{2}+ {( - 9)}^{2} } [/tex]

[tex]AB = \sqrt{36 + 81} [/tex]

[tex]AB = \sqrt{117} [/tex]

[tex]AB =10.8166538264[/tex]

[tex]AB \approx10.8[/tex]

PLEASE HELP ME ASAP?!?
(look at the image)
What is the order, from widest to narrowest graph, of the
quadratic functions f(x) = -0.5x2, f(x) = 1/4x2, and f(x) = x2?

Answers

Answer:

f(x) = [tex]\frac{1}{4}x^{2}[/tex]  > f(x) = -0.5x² > f(x) = x²

Step-by-step explanation:

In a quadratic function leading coefficient decides the width of a graph.

In simpler words, leading coefficient decides the vertical stretch of the graph.

Higher the value of leading coefficient, higher the vertical stretch.

When a graph is vertically stretched it becomes narrower.

(Note: Minus sign of the coefficient decides the opening of the graph, upwards or downwards)

Therefore, f(x) = x² having coefficient = 1 is the narrowest and f(x) = [tex]\frac{1}{4}x^{2}[/tex] will be the widest.

So the descending order will be,

f(x) = [tex]\frac{1}{4}x^{2}[/tex]  > f(x) = -0.5x² > f(x) = x²

From the choices below, choose an expression that is equivalent to the expression below

22/ -4

please helpp!!!!

Answers

Answer:.

Step-by-step explanation:

1. Mary is making a necklace by alternating red, yellow, and green beads. In
a bowl, she has 20 red beads, 20 yellow beads, and 20 green beads. If
Mary needs a red bead, what is the probability of her picking one
randomly?

Answers

Answer:    20/ 60 = 1/3

Step-by-step explanation:

60 beads in total which makes that the denominator and how many red beads in the numerator (20) then just reduce the fraction

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