If f(x)=8x+2, find the inverse *

Answers

Answer 1

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To find the inverse first we need to solve the equation for x ,

Then put x instead of y .

_________________________________

Let's do it...

[tex]f(x) = 8x + 2[/tex]

[tex]y = 8x + 2[/tex]

[tex]8x + 2 = y[/tex]

Subtract sides 2

[tex]8x + 2 - 2 = y - 2[/tex]

[tex]8x = y - 2[/tex]

Divide sides by 8

[tex] \frac{8x}{8} = \frac{y - 2}{8} \\ [/tex]

[tex]x = \frac{y - 2}{8} \\ [/tex]

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Thus ;

[tex] {f}^{ - 1} (x) = \frac{x - 2}{8} \\ [/tex]

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Related Questions

Which expression is equivalent to p x q x q x q x q x q x q x q x q x q

Answers

Answer:

p x q[tex]^{9}[/tex]

Step-by-step explanation:

You can combine all of the q terms as one single exponent.

Answer:p=q^9

Step-by-step explanation:

Choose the graph that matches the inequality ­ y < –2x + 4.

Answers

Answer:

C

Step-by-step explanation:

You know that if its < or >, the line is - - - -, not a fully dark line.

So it would be either A or C

Plot in some numbers for x

Less than would be to the left.

So it wouldn't be A, leaving us with C

Answer:

I belive this would be C

Step-by-step explanation:

The probability of college graduate getting employed within a year is 90 % 90%. The probability of a college graduate getting employed and buying a car within a year is 72 % 72%. What is probability that a college graduate bought a car within a year given that he got employed within a year?

Answers

Answer:

Step-by-step explanation:

Let the probability of getting employed after graduated within a year be P(A)

and the probability of buying a car within a year be P(B)

Given that:

The probability of getting employed after graduated within a year = 90% = 0.9

Then; Let that be P(A)

The probability of getting employed and buying a car within a year = 72% = 0.72.

Then; Let that be P(A∩ B).

The probability that a college student will get both events is P(B/A)

[tex]P(B/A) = \dfrac{P(A \cap B) }{P(A)}[/tex]

[tex]P(B/A) = \dfrac{0.72}{0.90}[/tex]

P(B/A) = 0.80

Can anyone help me ????

Answers

Answer:

i know i had this question let me find it

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

the formula for a parallelogram is A=b*h

16.9 and 1.7 and 0.17 and 2.0 added up

Answers

Answer:

20.77

Step-by-step explanation:

Answer:

20.77

Step-by-step explanation:

Simplify  16.9+ 1.7  to  18.6

18.6 +0.17+2.0

Simplify  18.6+0.17 to  18.77

18.77+2.0

Simplify.

ANddddd the answer is

20.77


Give the slope between the points
(-5,-3) (-1,-8)

Answers

slope is difference in y over difference in x:

m = ( -8 - -3) / (-1 - -5) = (-5)/(4) = -5/4

The slope is -5/4.

What proportion results in the equation 9m=10n?

Answers

Answer:

the 2 nd one 9/m=10/n

Step-by-step explanation:

(01.01 MC)Why is 2 + (−3) equal to −1? Because it is 3 units to the left of 2 on a horizontal number line Because it is 3 units to the right of 0 on a horizontal number line Because it is 3 units to the left of 0 on a horizontal number line Because it is 3 units to the right of 2 on a horizontal number line

Answers

Answer:

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

Given

[tex]2 + (-3) = -1[/tex]

Required

Why?

The interpretation of the question is that:

[tex]2 + (-3) = -1[/tex]

What is the result when 2 is shifted 3 units in the negative direction (i.e. towards the left)?

First, we have a horizontal to have the the following representation:

<.....-4   -3   -2   -1   0   1    2   3   4   5 ......>

Taking the positions of 2 and -1 into consideration,

<.....-4   -3   -2   -1   0   1    2   3   4   5 ......>

We can see that the distance between 2 and -1 is 3 units towards the left

In other words, -1 is 3 units from 2 in the left direction

Hence, option A answers the question

Answer:

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

how would you round 1.2983 to the thousandth​

Answers

Answer:

1.298

Step-by-step explanation:

After the decimal the numbers go

tenths Hundredths and then thousands

Then take the number that's after thousands and raise the thousands number up is the numbers after is above 5 keep it the same if its 4 or under.

1)) Norachai school is selling tickets for the annual talent show. On the first day of ticket sales, the school sold 5 adult tickets and 4 student tickets for a total of $ 85. The school received $ 55 on the second day selling 5 adult tickets and 2 student tickets. What is the price of each adult and student ticket?

Answers

9514 1404 393

Answer:

adult: $5student: $15

Step-by-step explanation:

If we let 'a' represent the price of an adult ticket, and 's' represent the price of a student ticket, the two sales can be described by ...

  5a +4s = 85

  5a +2s = 55

Subtracting the second equation from the first gives ...

  (5a +4s) -(5a +2s) = (85) -(55)

  2s = 30 . . . . simplify

  s = 15 . . . . divide by 2

Substituting this into the second equation, we have ...

  5a +2(15) = 55

  5a = 25 . . . . subtract 30

  a = 5 . . . . . divide by 5

Each adult ticket sold for $5; each student ticket sold for $15.

A ​15 foot ladder is leaning against a​ building, with the base of the ladder 4 feet from the building. How high up on the building will the top of the ladder​ reach?
The ladder will reach
android:
nothing ft high up on the building.
​(Round to the nearest​ tenth.)
Enter your answer in the answer box and then click Check Answer.
All parts showing

Answers

Answer: The height of the building = 14.5 feet.

Step-by-step explanation:

Given: Length of ladder = 15 feet

Distance of base of ladder from building = 4 feet

Since building is standing vertical on ground making right angle.

So with ladder a right triangle is formed , where base = 4 feet , Hypotenuse = 15 feet [Hypotenuse is side opposite to right angle]

According to the Pythagoras theorem ,

Hypotenuse² = Perpendicular² + Base²

⇒ (15)² =  Perpendicular² +  (4)²

⇒ 225 = Perpendicular² +16

⇒ Perpendicular² = 225 -16

⇒ Perpendicular² = 209

⇒  Perpendicular = √209 = 14.4568322948 ≈ 14.5 feet

Hence, the height of the building = 14.5 feet.

What is the solution to the inequality f + 4 < 2?

Answers

Answer: f=-2

Step-by-step explanation:

math

Answer:

f < -2

Step-by-step explanation:

Please help ASAP!!!!!!

Answers

9514 1404 393

Answer:

  a) correct

  b) needs parentheses: -1, (1±i√2)/3

Step-by-step explanation:

a) You can factor by grouping:

  (x³ -2x²) -(5x -10) = x²(x -2) -5(x -2) = (x² -5)(x -2)

Roots are ±√5, 2.

__

b) The sum of odd-degree coefficients is equal to the sum of even-degree coefficients (3-1 = 1+1), so one root is x=-1. Factoring out that leaves the quadratic factor ...

  3x³ +x² -x +1 = (x +1)(3x² -2x +1)

The quadratic formula can be used on the quadratic factor to find its roots:

  x = (-(-2) ±√((-2)²-4(3)(1)))/(2(3)) = (2 ±√-8)/6 = (1 ±√-2)/3

Roots are -1, (1 ±i√2)/3.

Solve Using the Elimination Method.

x + 6y = 17

-x + 3y = -8

Answers

Answer:

x =11,  y=1

(11,1)

Step-by-step explanation:

Is (1,8), (2,12), (3,16) (4,20) a function?

Answers

Yes it is a function. As x increases by one, y constantly increases by 4. The function would me y=4x+4

If there were 80 points scored overall, how many of them were scored by Bridgette? she scored 5% of the points

Answers

Answer: she scored 4 points

Step-by-step explanation: 5% of 80=4

;-----------;

Answer:

4 points were scored by bridgette

Step-by-step explanation:

80 times 5 equal 400

Then you move the decimal point to the left by the number of digits the whole number has. In this case, it only has 2, so we move the decimal point 2 spaces over to the left.. Therefore, 400 becomes 4.00. 4.00 is the same as 4, so 4 is your answer.

Good luck and have a great day!

May u please help me ill give out the brainly

Answers

Answer:

the answer is a

Step-by-step explanation:

they are just flipped thats all

The hypotenuse is always the __________ side of a right triangle.

Answers

Answer:

the answer is opposite

NEED HELP NOW!!!!!!
Androcles
adapted from Aesop’s Fables

scene 1:
(Backdrop—forest. Enter Androcles looking over his shoulder)

ANDROCLES: (Speaking to himself) I’ve just escaped from my master. I need to find a place to hide. (As he searches for a place to hide, he sees a lion moaning in pain. He turns to run but changes his mind.) Oh! You poor thing. (He looks at the lion’s paw, which is swollen and bleeding. He finds a large thorn, which is the cause of the pain, pulls it out, and binds the paw. The lion rises and licks Androcles's hand. The lion leads him to a cave stage right.)

ANDROCLES: (Speaking to the audience) The lion brought me meat to live on for the next few days until we were captured.

(Curtain)

scene 2:
(Backdrop—arena. The Emperor enters stage right downstage and moves to stage left upstage. Androcles is surrounded by guards who enter from stage right upstage. Androcles moves to center stage. His head is bowed.)

EMPEROR: The slave shall be thrown to the lion as punishment. Ensure that the lion has a good appetite.

(The Emperor and the members of court are gathered stage left upstage. Androcles is center stage. The lion charges in from stage rightdownstage. Androcles steps back. The lion recognizes Androcles and begins to lick his hand.)

EMPORER: (Surprised) What is this? Guards! I wish to speak with him. (Speaking to Androcles) How did you do that? Are you a sorcerer?

ANDROCLES: (Bowing to the emperor) When I escaped and ran into the forest, I found him with a large thorn. It caused him much pain. I took it out, and he has been grateful since then.

EMPORER: (Impressed) Very well! You are pardoned and the lion shall be released into the wild.

(Curtain)

12
Select the correct answers.
Based on the passage, which two adjectives best describe Androcles?
courageous
vicious
kind
lazy
cowardly

Answers

Answer:

the answer is courageous and kind

Answer:

Courageous and Kind

Step-by-step explanation:

At least all the animals showed Courage and Kindness to the others.

Have a great day mate!

evaluate 3x^4+2x^2-5x+1 when x=3202

Answers

Answer:21

Step-by-step explanation:

Answer:

315359990076847

Step-by-step explanation:

3x^4+2x^2-5x+1 when x=3202

replace the x's with 3202

3(3202)^4+2(3202)^2-5(3202)+1

solve the exponent first

3(105119989862416)+2(10252804)-5(3202)+1

then multiply

315359969587248+20505608-16010+1

add/subtract

315359990076847

5
4
3
2
please help will give brainlyest
these are the answer choices
thank you

Answers

Answer:

3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Christen has to run around the rectangular soccer field during practice. The soccer field measures 60 meters
long by 45 meters wide.
How far did Christen run?

Answers

Answer:

210m

Step-by-step explanation:

60+60+45+45

120+90

210m

x+ y + z = -3
3y - Z = 4
2x- y - 2z = -5

Answers

Answer:

(-3, 1, -1)

Step-by-step explanation:

x + y + z = -3  --> (1) 3y - z = 4   --> (2)2x - y - 2z = -5 --> (3)

Add up (1) and (2)

x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1  --> (4)

Double (2) and subtract from (3)

2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 82x - 7y = -13 --> (5)

Double (4) and subtract (5)

2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1

Finding x

x + 4(1) = 1 ⇒ x = 1 - 4  ⇒ x = -3

Finding z

-3 + 1 + z = -3 ⇒ z = -1

So the answer is:

(-3, 1, -1)

one angle of a triangle is 60 degree and the other two are in the ratio 2:3.Find these angles​

Answers

Answer:

48 and 72 degrees.

Step-by-step explanation:

The sum of the other 2 angles = 180-60 = 120 degrees.

So they are  2 / (2+3) * 120 = 2/5 * 120 = 48 and 3/5 * 120 = 72 degrees.

If a bug can flap its wings at a rate of 77 times in 9 seconds, how many times do they flap their wings in 1.119 minutes? Round to 1 decimal.

Answers

Answer:

574.4 flaps

Step-by-step explanation:

77/9 =  8.5555555 flaps per second

60 seconds x 1.119 minutes = 67.14 seconds

8.5555555 x 67.14 = 574.42 flaps

It takes Amy 18 minutes to read 4 pages of a book. The Hunger Games has 374 pages, Catching Fire has 391 pages, Mockingjay has 517 pages and the newest book, The Ballad of Songbirds and Snakes, has 390 pages. If she has already read The Hunger Games, how long will it take her to read the rest of the book series?

Answers

The answer is 5841 minutes.

ladder is 8 ft long . The ladder needs to reach to a window that is 6 ft above the ground . How far away from the house should the bottom of the ladder be placed ?

Answers

Answer:

5.3 or 28

Step-by-step explanation:

[tex]6^{2}[/tex]+[tex]b^{2}[/tex]=[tex]8^{2}[/tex]

36+[tex]b^{2}[/tex]=64

64-36=28

[tex]\sqrt{28\\}[/tex]

=5.29 or 5.3

Is 16.4 greater than 16

Answers

Answer:

yea

Step-by-step explanation:

Yes.

16 could also be written as 16.0, or 16.00 or even 16.00000.

16.4 could also be written as 16.40, or 16.400.

And of course, you know 4 is greater than 0.

This is why 16.4 is greater.

When you add a decimal to a number, it always makes it larger. its like saying 16 and 4 tenths.

Evaluate and Solve for the variable
-2 = y + 5

Answers

Answer:

y = -7

Step-by-step explanation:

Minus the five from both sides

Answer:

Y = -7

Step-by-step explanation:

subtract 5 from both sides

-7 = y

At the city museum child admission is $5.40 and adult admission is $9.40. On Wednesday, 168 tickets were sold for a total sales of $1199.20. How many adult tickets were sold that day?

Answers

Given:

Selling price of child ticket = $5.40

Selling price of adult ticket = $9.40

Total tickets = 168

Total sales = $1199.20

To find:

The number of adult tickets sold.

Solution:

Let x be the number of child tickets and y be the number of adult tickets.

Total tickets : [tex]x+y=168[/tex]          ...(i)

Total sales : [tex]5.40x+9.40y=1199.20[/tex]      ...(ii)

From equation (i), we get

[tex]x=168-y[/tex]

Put this value in (ii).

[tex]5.40(168-y)+9.40y=1199.20[/tex]

[tex]907.2-5.40y+9.40y=1199.20[/tex]

[tex]4y=1199.20-907.2[/tex]

[tex]4y=292[/tex]

Divide both sides by 4.

[tex]y=\dfrac{292}{4}[/tex]

[tex]y=73[/tex]

Therefore, 73 adult tickets were sold that day.

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