What is the inverse of the following function? y = 12x −6

Answers

Answer 1

Answer:

f ^−1(x)=x/12+1/2

Step-by-step explanation:


Related Questions

Brad's checking account starts off with a balance of $126.50. Throughout the week, Brad pays a bill for $87.21, and pays $5.64 for breakfast. He deposits $15.00 but then pays another bill for $55.25. At the end of the week, he gets a notice from the bank that he has a negative balance. How much does Brad need to deposit into his account to get to a $0 balance?

Answers

Answer:

$6.6

Step-by-step explanation:

Let's find out what his balance is after those transactions.

Initial balance: 126.50

After bill:

126.50 - 87.21 = 39.29

After breakfast:

39.29 - 5.64 = 33.65

After deposit (we're adding money now!):

33.65 + 15 = 48.65

After 2nd bill:

48.65 - 55.25 = -6.6

We find that his balance is negative $6.6. Thus, to get to $0, he needs to deposit an additional $6.6.

Answer: $6.6

if α,β are the roots of the equation x^{2}-3x+2=0 form an equation whose roots are (α+β)² & (α-β)²

Answers

Solution:-

Let's find roots of x² - 3x + 2

=> x² - 3x + 2 = 0.

=> x² - x - 2x + 2 = 0.

=> x ( x - 1 ) -2 ( x - 1) = 0.

=> ( x - 1 ) ( x - 2 ) = 0.

=> x = 2, 1.

Now

( a + ß )² = (2+1)²=3²=9( a - ß )² = ( 2 - 1 )² = 1² = 1.

So , equⁿ would be ,

=> x² - ( 9 + 1)x + 9×1=0.

=> x² - 10x + 9=0.

absolute value of 100​

Answers

Answer:

100

Step-by-step explanation:

Think of the absolute of a number as the distance from that number to zero on the number line. The distance from 100 to 0 on the number line is 100, so absolute value of 100 is 100. Notice that -100 is also at a distance of 100 from zero, so |-100| = 100.

|100| = 100

Danny is selling cornhole boards to raise money for a local charity. He rents a booth at the state fair for $250. He sells the boards for $45. It costs him $20 to make each board. How many boards must Danny sell to break even for the cost of renting a booth?

Answers

Answer:

10

Step-by-step explanation: because if you get 45$ for breaking 1 and lose 20$ for paying for it you will just get 25$ for breaking each board

PLEASE HELP ME WITH THIS​

Answers

Answer:

since they are corresponding angle

(6x)°= (5x =10)°

or (6x) - (5x) = 10°

x = 10°

The coordinates of points A and B are A(4, -2) and B(12, 10). What are the coordinates of the point that is 1/4 of the way from A to B?

Answers

Answer:

Step-by-step explanation:

(4 + 12)/4 = 16/4 = 4

(-2 + 10)/2= 8/4 = 2

(4, 2) is 1/4 of the way from A to B

The coordinates of the point that is 1/4 of the way from A to B is (28/5, 2/5) if the coordinates of points A and B are A(4, -2) and B(12, 10).

What is an ordered double?

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

It is given that:

The coordinates of points A and B are A(4, -2) and B(12, 10)

The coordinates of the point that is 1/4 of the way from A to B

The above statement means that the line segment AB is divided in the ratio of 1:4 internally.

Using the section formula:

Let C be the new coordinate point:

C(x) = [1(12) + 4(4)]/(1+4)

C(x) = 28/5

C(y) = [1(10) + 4(-2)]/(1+4)

C(y) = 2/5

Thus, the coordinate of the point that is 1/4 of the way from A to B is (28/5, 2/5) if the coordinates of points A and B are A(4, -2) and B(12, 10).

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A conditional statement can be written as "If hypothesis, then conclusion". How can "your phone is set to vibrate so it will not disturb others" be written as a conditional statement?

Answers

Answer:

If your phone is set on vibrate, then it will not disturb others.

Step-by-step explanation:

It's an if then statement.

what is the value of x?

Answers

Answer: 4

Step-by-step explanation:

subtract 10 from 18 , thats 8 then divide 8 by 2 and get 4.

You pick one card from a standard deck of 52 cards. What is the probability that the card will be a two?

Answers

Answer:

4 out of 52 or simplified 2 out of 26

Step-by-step explanation:

There are 4 suites of cards, spades, hearts, clubs, diamonds and there is one card for two in each suite, so we therefore know that the probability of picking a two out of a 52 card deck will be four out of 52 or the simplified answer would be 2 out of 26. Hope this helps, have a great day!

Is 4 - 4x and 4(1 - x) equivalent expressions? Why or why not?

Answers

Hey there!

ANSWER:

Yes

EXPLANATION:

Is 4 - 4x and 4(1 - x) equivalent expressions? Why or why not?

If you want to know whether they are equivalent, let's first find the value of both of them.

[tex]4-4x[/tex]

[tex]-4x+4[/tex]

[tex]4(1-x)[/tex]

Let's add parenthesis to 4 and (1-x) and add negative to x.

[tex](4)(1+-x)[/tex]

Now separate all with parenthesis.

[tex](4)(1)+(4)(-x)=4-4x\\-4x+4(ANSWER)[/tex]

Since both had the same value, they are equivalent.

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

cube root of 0.18125​

Answers

Answer:

0.005954345703125

Step-by-step explanation:

0.18125​^3 = 0.005954345703125

Convert this rational number
to its decimal form and round
to the nearest thousandth.
7/8

Answers

Answer:

.875

Step-by-step explanation:

Emily owns 10.2 shares of stock in a company. On Friday, the stock dropped by $1.35/share. What was the total change in value of Emily’s stock? −$13.77 −$7.56 +$7.56 +$13.77

Answers

Answer:

-$13.77

Step-by-step explanation:

what is the answer 2(3x-4)+3(7-12x)

Answers

Answer:

-30x+13

Step-by-step explanation:

6x-8 + 21 - 36x

-30x+13

What is the domain of the given relation?
{(0, – 1), (2, - 3), (3, - 2)}
A
{0, 2, 3}
B
{ -3, - 2, - 1}
C
{ - 3, – 2,3}
D
{ - 1,0,2}

Answers

Answer:

Option (A) : {0,2,3} is the domain

Mandy has a piece of ribbon measuring 3.2 m and Cheryl has a piece of ribbon measuring 4.7 m select the point on this number line that represents the ribbon lengths

Answers

Answer:

3.2

Step-by-step explanation:

3.2/1

Guys I really need help!
The general equation for the geometric sequence -1, -2, -4, ... is a n = -1 · 2 n - 1 .


TrueFalse

Answers

Answer: false

Step-by-step explanation:

Answer:

Yes absolutely true i took the lesson

Step-by-step explanation:

Follow the guided instructions below to rotate the figure 90° clockwise about the
point (-1,1).
Click and drag to draw a line through the yellow center and the vertex on
the circle.
y
10
9
8
7
6
5
3
2
0 1
-1
3
4
-5 4 3
5
6
7
8
9
10
-10-9-8
-3
-4
-5
-6

Answers

Answer:

1111111111111111

Step-by-step explanation:

222222222222

while working at the drugstore, kyle earns $15 per hour. how many hours will it take to earn $45

Answers

Answer:

3

Step-by-step explanation:

15+15+15=45 or you can just do 15x3

Type the correct answer in each box. Use numerals instead of words. Consider this expression. (x+5)(x-7) Complete the box to show the distributive property applied to this expression.

Answers

In the top right corner is -7x since we multiply the x and -7

In the bottom row, we'll have 5x for the first box and -35 for the second box. Each box is the result of multiplying the outer values.

In the top left corner, the x^2 is from multiplying the two copies of x.

A store sells candles.
• The retail price was a 45% markup
over the manufacturer price.
• A month later, the store reduced the
retail price of the candles by 20
percent.
What percent markup is the new retail
price over the manufacturer price?

Answers

Answer:

25%

Step-by-step explanation:

If you start at 45% and it reduces by 20% you are just doing 45-20 which equals 25. (Please let me know if im wrong)

16 percent markup is the new retail price over the manufacturer price.

Here,

A store sells candles.

Retail price will be 45% marked-up

A month later, store reduced the retail price of the candles by 20%.

We have to find the percent markup.

What is the percentage?

The percentage is the value per hundred.

Now,

Consider the manufacturer price = 100x

Retail price will be 45% marked-up

Hence,  100x+45% of 100x = 145x

Reduced retail price of the ladder after one month = 145x-145x*20/100

Reduced retail price of the ladder after one month = 116x

Percentage markup of the reduced retail price over the manufacturer price will be:

={(reduced retail price - manufacturer price)/manufacturer price} *100

=[ (116x-100x)/100x ] *100 = 16%

Hence, 16 percent markup is the new retail price over the manufacturer price.

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Junior is saving money in his piggy bank. He starts with and adds two pennies each day. Create an table and a graph for the function for which represents the number of days since Junior started saving money and y represents the total money he has saved

Answers

You start with 0 then add two pennies (0.02) a day

The required expression for the Junior started saving money and y represents the total money he has saved is y =2x.

Given that,
Junior is saving money in his piggy bank. He starts with and adds two pennies each day.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.

Let the number of days, junior saved money be x and the total amount of money he saved be y.
He starts with and adds two pennies each day. which implies,


On day 1 he saved 2 pennies, the next day i.e. day 2 is saved 4 pence and so on and on day x he saved a total of 2x pennies in his piggy bank. Results,
y = 2x

Thus, the required expression for the Junior started saving money and y represents the total money he has saved is y =2x.



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plz help!!!! (click on the pic)

Answers

Answer:

x^2+8x

Step-by-step explanation:

instructions included above :)

Answer....

[tex] \boxed{ {x}^{2} + 8x}[/tex]

[tex] \boxed {\tt{Step-by-step \: explanation:-}}[/tex]

(6x²+10x-1)+(-5x²-2x+1)

=6x²+10x-1-5x²-2x+1

=6x²-5x²+10x-2x-1+1

=x²+8x

Find 2 equivalent fractions to 4/6

Answers

The two answers are:
8/12
2/3
4 and 6 is 2, so 4/6 is equivalent fraction of 2/3

f(x) = -2x, g(x)= -2x-1

Answers

Answer:

I graphed the two points on a graph in the attachment! Hope this helps! :)

Step-by-step explanation:

help me i have no clue

Answers

Answer:

It seems like D if I eyeball it.

the shower should be d. i hope this helps.

So I need help with this because I had did it but the teacher said to redo it but I forgot the answers,
Please help !

Answers

i’ll answer the first question, what’s 3 plus 13? 16 that’s your answer

6. Henry's room rent is $40. His electricity bill is $10 and food expenses are
$15. His job deposited his salary of $60 into his bank account. What would
be the balance remaining after paying his monthly expenses?

Please help me

Answers

Answer:

henry would be -5$ in debt other words he needs 5$ in order to pay for his monthly expenses

nenr World -5 un debt otner

Ken bought a CD on sale for 33% off
the regular price of $15.36.
What price did Ken pay for the CD?
O A. $5.12
OB.
$8.33
O C.
$10.24
O D.
$12.99
Ken bought a CD on sale for 33.13% off the regular price of $15.36. What price did Ken pay for the CD

Answers

Answer:

the answer is A)$5.12

Step-by-step explanation:

The answer can be find by step-step explanation. You are supposed to divide to get your answer.

The candle maker makes a total of 454545 orange candles. This is 30\%30%30, percent of all the candles she made this week. How many candles did the candle maker make this week?

Answers

Answer:

150 candles

Step-by-step explanation:

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