Find the inverse function in slope-intercept form (mx+b):

f(x)=2x-8

Find The Inverse Function In Slope-intercept Form (mx+b):f(x)=2x-8

Answers

Answer 1

Answer:

[tex]\sf f^{-1}(x) = \dfrac{x}{2}+4[/tex]

Step-by-step explanation:

A function is given to us and we need to find the inverse of the function in slope intercept form . The given function is ,

[tex]\sf\implies f(x) = 2x - 8 [/tex]

Let us assume that y = f(x) , so that ,

[tex]\sf\implies y = 2x - 8 [/tex]

Now interchange the positions of x and y , we have ,

[tex]\sf \implies x = 2y - 8[/tex]

Solve for y in terms of x ,

[tex]\sf \implies 2y = x + 8 \\\\\sf\implies y =\dfrac{x}{2}+4 [/tex]

This is the inverse of the function in slope intercept form. Now we can replace this y with f-¹(x) , as ,

[tex]\sf \implies \boxed{\pink{\frak{f^{-1}(x) = \dfrac{x}{2}+4}}}[/tex]


Related Questions

helpppppooppppppppikkkk

Answers

Step-by-step explanation:

Used desmos, it is a graphing app that is easy to used

the function is( -7,1)(-5,3)(-7,-1)(5,13)

Answers

Answer:

Not a function

Step-by-step explanation:

The an x-value (the first number in your ordered pair)ca not appear in another ordered pair.  It it does, you do not have a function.

( -7,1)(-5,3)(-7,-1)(5,13)  -7 appears as the first number in two of your ordered pairs.  Not a function!

Use the Completing the Square method to solve for x.
y= (x + 3)2 – 4.
OX= 1 & 5
Ox= -1 & 5
O x = 1 & -5
OX= -1 & -5

Answers

Answer:

x = -1

x = -5

Step-by-step explanation:

y= (x+3)^2 - 4

(x + 3)^2 = x^2+6x+9

y = x^2 + 6x + 9 - 4

y = x^2 + 6x + 5

x^2 + 6x = -5

x^2 + 6x + 9 = -5+9 (6/2=3, 3^2 = 9) (add 9 to both sides)

(x + 3)^2 = 4

x + 3 = sqrt 4

x + 3 = +- 2

x + 3= 2. x = 2-3. x = -1

x + 3 = -2. x = -3-2. x = -5

can someone help on number 7 and 8
show work please aswell this is due tmr!

Answers

Answer:

In the picture

Step-by-step explanation:

For #8, make sure you combine the like terms on the parantheses due to PEMDAS, then distribute and solve for the variable.

I need help please!!!

Answers

Answer:

Step-by-step explanation:

1. p║ q

50+130 = 180

If the same side interior angles are supplementary angles then the lines are parallel.

2. p║ q

70 = 70

If the corresponding angles are congruent the lines are parallels.

4. p║ q

x = x

If alternating exterior angles are congruent then the lines are parallel.

5. we do not know if p is parallel with q

We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines.

7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.

3x= 45 , divide both sides by 3

x= 15

For x = 15 the p║ q

8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.

2x+10 = 120, subtract 10 from both sides

2x = 110, divide both sides by 2

x = 55

For x = 55 the p║ q

on a coordinate grid what is the distance of (-2,4) and (5,4)

Answers

Answer:

the distance is 7 units

Step-by-step explanation:

Since the we calculate the distance between (-2,4) and (5,4) and those points have the same y=4 coordinate then they are both part of a horizontal  line.

The distance is found by looking at the x-axis.

From -2 to 5 so is form -2 until 0 is (2 )+ (5 )more = 7

Evaluate the algebraic expression x + 2y when w = 12, x = 10, y = 5 and z = 9.
A:12
B:17
C:20
D:27

Answers

Answer:

20

Step-by-step explanation:

Plugin x = 10 and y = 5 in the expression.

x + 2y = 10 + 2*5

          = 10 + 10

          = 20

x+2y Plug in the values of x and y
10+2(5)= 10+10
=20 the answer is C

Sixty tickets at $70 each cost

Answers

Answer:

60x$70=$4100

Step-by-step explanation:

ekdjnsjs

Answer:

60 x 70= 4200$

Step-by-step explanation:

60

70   x

_____

(jk no need to do this just multiply them this way,because there are zeros just multiply 6 and 7 which equals 42 then add the zeros which are equal to= 4200$

The n sequence question

Answers

Answer:

a) in order

-3;-2;-1

b) 6

1-4=-3

2-4=-2

3-4=-1

4-4=0

5-4=1

6-4=2

7-4=3

8-4=4

9-4=5

10-4=6

someone please help me

Answers

Answer:

the slope is -2

Step-by-step explanation:

Answer:

1/1 = 1

Step-by-step explanation:

Use rise/run.

The x value increases by 1 in the same amount of time that the y value increases by 1. This gives you the slope 1/1 (y increase/x increase).

1/1 can then be converted to 1.

Simplify the radical please I need sleep it's 1 am I wake up at 4

Answers

Answer:

[tex]4cba*\sqrt{5bc}[/tex]

Step-by-step explanation:

[tex]\sqrt{4^{2} *5a^{2}b^{2}bc^{2} c }[/tex]

[tex]4cba*\sqrt{5bc}[/tex]

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x-3)+2

A) infinite solutions

B) One

C) no solutions

Answers

Answer:

-7 = -7

a. infinite solution

Which equation is equivalent to 0.3y +0.4(25 - y) = 6.8 ?

Answers

Answer

y = 32

Step-by-step explanation:

Let's solve your equation step-by-step.

0.3y+0.4(25−y)=6.8

Step 1: Simplify both sides of the equation.

0.3y+0.4(25−y)=6.8

0.3y+(0.4)(25)+(0.4)(−[tex]\frac{-0.1y}{-0.1} =\frac{-3.2}{-0.1}[/tex]y)=6.8(Distribute)

0.3y+10+−0.4y=6.8

(0.3y+−0.4y)+(10)=6.8(Combine Like Terms)

−0.1y+10=6.8

−0.1y+10=6.8

Step 2: Subtract 10 from both sides.

−0.1y+10−10=6.8−10

−0.1y=−3.2

Step 3: Divide both sides by -0.1.

-0.1y/-0.1=-3.2/-0.1

y=32

I hope this helps?

AYUDA porfavor

asdfghjk,l.

Answers

Answer:

english please?

Step-by-step explanation:

Answer:

english pls

Step-by-step explanation:

if sin x equal to a/b
what is sin(90-x)​

Answers

Answer:

[tex] \sin(x) = \frac{a}{b} \\ \sin(90 - x) = \sin(90) \cos(x) - \cos(90) \sin(x) \\ \sin(90 - x) = \cos(x) \\ { \sin(x) }^{2} + { \cos(x) }^{2} = 1 \\ { \cos(x) }^{2} = 1 - {( \frac{a}{b})}^{2} = \frac{ {b}^{2} - {a}^{2} }{ {b}^{2} } \\ \cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ \sqrt{ {b}^{2} } } \\ \boxed{ \sin(90 - x) =\cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ b} } \\ [/tex]

The value equal to the given trigonometric expression sin(90°-x)​ is √(b²-a²)/b.

Given that, sinx=a/b.

We know that, sinθ=Opposite/Hypotenuse

Here, Opposite = a and Hypotenuse = b

Let the adjacent side be x.

Here, x=√(b²-a²)

Given that, sin(90°-x)​ = cosx

Now, cosx=x/b

cosx=√(b²-a²)/b

Therefore, the value equal to the given trigonometric expression sin(90°-x)​ is √(b²-a²)/b.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

#SPJ6

On a drawing of a model airplane, the scale used is 1 in.:3 ft. How many feet would 4.5 inches represent?

A. 13.5 feet
B. 6.5 feet
C. 1.5 feet
D. 4.5 feet

Answers

Answer:

13.5

Step-by-step explanation:

4.5*3=13.5

3 time 4.5 is 12+1.5 so it’s A lol

HELPOOPPPOOPFOLFMTMR ME

Answers

Answer:

1.) 2y        2.) 14y

Step-by-step explanation:

Which inequality has a solution that is the set of all real numbers?
12 < 14
x < 12
12 > 14
x > 14

Answers

Answer:

12<14

x<12

14>12

14>x

Step-by-step explanation:

I dont know if it is correct but I think it is that way try

HELPOOPPP AND IF YOU DONT GET IT RIGHT I REPORT

Answers

Answer:

(-4,2)

Step-by-step explanation:

Answer:

(-4,2)

Step-by-step explanation:

hope this helps

6. Cafe A offers 2 free bottled waters or juices for every 20 purchased. What is the ratio of free drinks to purchased drinks? *

Answers

Answer:

1: 10

Step-by-step explanation:

2/2 =2

20/2 = 10

a = 1/3 (b+c)
make b the subject ​

Answers

Answer:

b= 3a-c

Step-by-step explanation:

Solve for b.

a= 1/3(b+c)

multiplying both sides by 3.

3a= b+c

subtract c from both sides.

3a-c=b

or

b= 3a-c

Answer:

b= 3a-c

Step-by-step explanation:

Solve for b.

a= 1/3(b+c)

Multiplying both sides by 3.

3a= b+c

Subtract c from both sides.

3a-c=b

or

b= 3a-c

okay now i rlly need this done man

Answers

Answer:

x=9.5

EDIT: Its actually x=6

Step-by-step explanation:

Brainliest?PLEASE?

Answer:

4

8

+

2

{\color{#c92786}{\frac{4x}{8}}}+2

84x​+2

2

+

2

Step-by-step explanation: please mark brainliest

.
13
14
15
16
17
18
19
20
>
Complete the following:
1. Write an exponential expression: choose an odd number between 0 and 10 to be the base and an even number
between 0 and 10 to be the exponent.
2. Label the base and the exponent.
3. Then write the exponential expression in expanded form and standard form

Answers

Answer:

I have work busy byeeeeeeeee

HELPP PLEASE will put brainliest ​

Answers

Answer:

Slope of function A is equal to slope of function B

Step-by-step explanation:

Function A

[tex]y =\dfrac{2}{5}x+1\\\\\\slope=\dfrac{2}{5}[/tex]

Function B:

[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{3-[-1]}{5-[-5]}\\\\=\dfrac{3+1}{5+5}\\\\\\=\dfrac{4}{10}\\\\\\=\dfrac{2}{5}[/tex]

Can someone maybe help me on number 6 and 7?

Answers

6) the answer is 39
7) the answer is 22

Complete the conjecture based on the pattern you observe in the examples below:

Conjecture: The sum of any two odd numbers is ___

1 + 1 = 2 9 + 11 = 20

1 + 5 = 6 13 + 21 = 34

7 + 9 = 16 101 + 103 = 204


Conjecture: The product of any two numbers is ___

1 . 1 = 1 9 . 11 = 99

1 . 3 = 3 13 . 11 = 143

3 . 7 = 21 101 . 103 = 10,403


Conjecture: The product of a number (x-1) and the number (x+1) is always equal to ___

3 . 5 = 4² - 1 7 . 9 = 8² - 1

4 . 6 = 5² - 1 6 . 8 = 7² - 1

5 . 7 = 6² - 1 8 . 10 = 9² - 1

Answers

Step-by-step explanation:

the writing and spacing of the problem description is difficult to understand.

but there is no mystery. look at the examples.

all of them

3×5 = 15 = 16 - 1 = 4² - 1

4×6 = 24 = 25 - 1 = 5² - 1

5×7 = 35 = 36 - 1 = 6² - 1

6×8 = 48 = 49 - 1 = 7² - 1

7×9 = 63 = 64 - 1 = 8² - 1

8×10 = 80 = 81 - 1 = 9² - 1

so, what does this look like ?

(x-1)×(x+1) is always equal to (x² - 1)

8/3×(−2 1/2) find the product

Answers

Step-by-step explanation:

8/3 × -5/2 = -20/3

that is the answer

Add 2 1/2 + (-3 1/3). Write your answer as a mixed number in simplest form.​

Answers

Answer:

Exact Form: -⅚

Decimal Form: -0.83 repeating

solve−4 1/3÷−2 3/5

a 1 2/3
b 1 4/5
c 2 1/5
d 2 3/5

Answers

A 1 2/3
-4 1/3 / -2 3/5=1.6666=1 2/3

How would you solve the equation -13=-5║n║

Answers

Answer:

-13/5

Step-by-step explanation:

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