Use inverse operations to find the inverse of y = 27x?
The inverse of y = 27x3 is y =

Answers

Answer 1

Answer:

  y = (∛x)/3

Step-by-step explanation:

To undo the multiplication by 27, you multiply by its inverse:

  (1/27)y = (1/27)(27x^3)

  y/27 = x^3 . . . . . . . . . . . simplify

To undo the cube, you take the cube root:

  (∛y)/(∛27) = ∛(x^3)

  (∛y)/3 = x

Apparently, you want the inverse function, so you swap the variables:

  y = (∛x)/3

_____

You can swap the variables at the beginning or end. It doesn't matter. If you do it at the beginning, you have ...

  x = 27y^3

and you're solving for y. You use the same inverse operations that we used above.


Related Questions

carries family broke a package of graham crackers into 32 pieces. carries two brothers each ate 1/8 of the pieces and the rest of the family ate 7/16 of the pieces.

carries two brothers each ate ____ pieces
the rest of carries family ate ____ pieces
there were ____ pieces remaining

Answers

Answer:

Carrie's two brothers each ate 4 pieces, and the rest of the family ate 14 pieces, there were 10 pieces left.

Step-by-step explanation:

First, change all of the fraction's denominators into 32:

1/8 = 4/32

7/16 = 14/32

This gives us the answer to the first two questions.

Then add up the amount of pieces each person ate. Carrie has two brothers, so we double 4/32, which gives us 8/32. 8/32 + 14/32 =  22/32.

32 - 22 = 10, so there are 10 pieces remaining.

Hope this helps!

Answer:

Carries two brothers ate 4 pieces.

The rest of Carries family ate 14 pieces.

There were 14 pieces remaining.

Step-by-step explanation:

To find out how much the brothers ate you can divide 32 by 8 to get 4. For the family you can turn 7/16 into 32nds

16 x 2 = 32 and 7 x 2 = 14

so the family ate 14 pieces. Add 14 + 4= 18 so that's how much they all ate in total then 32-18 = 14. That means 14 pieces are left.

Hope that helps and have a great day!

Mike can read 15 pages of a book in 24 minutes.
At this rate, how many minutes will it take Mike
to read 45 pages of the book?
Previous
Next
36
54
72
84

Answers

72 minutes

Take 24 divided by 15 = 1.6 minutes per page
Then take 1.6x45=72

5.6 as a fraction show all work

Answers

Answer:

5       6/10

Step-by-step explanation:

I can't really write a fraction but it would be 5 the 6 over 10. Hope this helps!

En la granja hay 509 puercos anota el número antecesor y el número sucesor de la cantidad.​

Answers

Answer: que

Step-by-step explanation:

What is the solution of 25 - 3p = 55? Use a table.
A. p = -10
B. p = -5
C. p.= 5
D. p = 10

Answers

Answer:

A. p = -10

Step-by-step explanation:

i took the test

Which Set Of Numbers Does √35 Belong?

Answers

Answer:

rational

Step-by-step explanation:



Sydney needs 15 inches of string to make a necklace. If she has 9 feet of string, what is the maximum number of necklaces that she can make?


Answers

Answer:

7 necklaces

Step-by-step explanation:

108/15=7.2, to make a whole last necklace you round it to just 7

Answer:

7

Step-by-step explanation:

9x12= 108. 108 ÷ 15 = 7.2, which I rounded to 7.

Jordan uses three lemons to make 1 pitcher of lemonade. He makes 4 pitchers. How many lemons does he use altogether? *What visual would you use to draw this story problem?

Answers

Answer:

The number of lemons Jordan uses to make the 4 pitcher of lemonade is 12 lemons

Step-by-step explanation:

The number of lemons the Jordan uses to make 1 pitcher of lemonade = three lemons

The number of pitcher lemonades Jordan makes = 4 pitcher of lemonades

The number of lemons Jordan uses altogether, is given by the following relation;

1 pitcher of lemonade = 3 lemons

4 pitcher of lemonades = 4 × 3 lemons = 12 lemons

Therefore, the number of lemons Jordan uses to make the 4 pitcher of lemonade is 12 lemons.

One set of markers costs x dollars. How much would 5 sets of markers cost? No need to show work

Answers

Answer:

5x dollars

Step-by-step explanation:

Five sets at x dollars per set would be 5x dollars.

Answer:

5x

Step-by-step explanation:

Multiply the cost of one set of markers by 5

5x

Solve the equation for 'C' B + C = -D ​

Answers

Answer:

C = -D - B

Step-by-step explanation:

Step 1: Write out equation

B + C = -D

Step 2: Subtract B on both sides

C = -D - B

Which statements are true? Select 3 options

Answers

I think the last 3 would be true

Sean says that to add a number to -100 and still have -100 is to add a zero.Candice says that she can add 2 numbers to -100 and still have -100. Who is correct and why?

Answers

Answer:

Sean because zero added to anything is the same answer.

Step-by-step explanation:

The lifespan of a zebra is 15 years. The lifespan of a black bear is 3 years longer than the lifespan of a zebra. Write an addition equation that you could use to find the lifespan of a bear.​

Answers

Answer:

15+3=18 years

Step-by-step explanation:

Since the black bear lives 3 years longer than the zebra, all it really means is 3 additonial year so you add 3 on to the 15.

15 + 3 = 18 my guy you got this

A species of fish was added to a lake. The population size Pt of this species can be modeled by the following function, where t is the number of years from the time the species was added to the lake. P(t) = 1000+(12e^−0.34t)where t is the number of years from the time the species was added to the lake.
Find the initial population size of the species and the population size after 9 years. Round your answers to the nearest whole number as necessary.

Answers

Answer:

1,012 ; 1,001

Step-by-step explanation:

Given the population function :

P(t) = 1000+(12e^−0.34t)

where t is the number of years from the time the species was added to the lake.

Initial population size of the species ; that is the population at year 0

At time, t = 0

P(0) = 1000+(12e^−0.34(0))

= 1000 + (12e^0)

= 1000 + 12(1)

= 1012

Initial population = 1,012

Population after 9 years :

P(9) = 1000+(12e^−0.34(9))

= 1000 + (12e^-3. 06)

= 1000 + (12×0.0468876)

= 1000 + ( 0.5626523)

= 1000.5626

= 1001 ( nearest whole number)

please relly need help

Answers

Answer:

z=162

Step-by-step explanation:

[tex]\frac{z}{9}[/tex]=18

so we multiply 9 and 18 which is 162

Stuck on question 9.

Answers

Answer:

Step-by-step explanation:

I think it's 107 degrees? That's how many degrees are in between c and h, making it a 107 degree angle.

[18+ 3(28 -19)] - 4 x 5 =

Answers

Answer:

25

Step-by-step explanation:

(18+3 x 9 ) – 20

(18+27) – 20

45 – 20

= 25

Answer: 25

Step-by-step explanation:

[18+ 3(28 -19)] - 4 x 5 =

(P E M D A S) parenthesis, exponents, multiplication, division, addition, subtraction

3 x 28 = 84

3 x 19 = 57

84 - 57 = 27

[18 + 27] - 4 x 5 =

45 - 4 x 5 =

4 x 5 = 20

45 - 20 = 25


85,58, 72, 85, 46,93
Mean :
Median :
Mode :
Range :

Answers

Answer:

mean:Total of all numbers divided by the amount of numbers 439/6=73.2

median:72+85=157/2=78.5

mode:85 most frequent figure

Range: difference between the largest number and lowest number

93-46=47

Evaluate f(2) for the function f(x) = 3x2 + 2x - 5

Answers

Answer:

The answer for f(2) is 11.

Step-by-step explanation:

f(x) = 3x2 + 2x - 5

f(2) = 3(2)2 + 2(2) - 5

f(2) = 6(2) + 4 - 5

f(2) = 12 + 4 - 5

f(2) = 16 - 5

f(2) = 11

The value of f(2) is 11 and this can be determined by using the arithmetic operations and the given data.

Given :

[tex]\rm f(x) = 3x^2+2x-5[/tex]

The following steps can be used in order to determine the value of f(2):

Step 1 - Write the given function.

[tex]\rm f(x) = 3x^2+2x-5[/tex]

Step 2 - The arithmetic operations can be used in order to determine the value of f(2).

Step 3 - Now, substitute the value of (x = 2) in the given function.

[tex]\rm f(2) = 3(2)^2+2(2)-5[/tex]

Step 4 - Simplify the above expression.

[tex]\rm f(2) = 3\times 4+4-5[/tex]

f(2) = 12 - 1

f(2) = 11

For more information, refer to the link given below:

https://brainly.com/question/25834626

If Edward makes $197 in a week and sells: 5 pairs of jeans,5 T-shirts, and 3 hats, and buys 3 of his meals. How many pairs of shorts did he sell?

Answers

Answer:

None

Step-by-step explanation:

Based on my knowledge, in this whole statement aren't talking about pairs of shorts, it was talking about different clothes.

33WELL EVERGREEN BOLUTIONS
CERTIFICATE EXAMINATION (BECE)
MATHEMATICS 2016
Time Allowed: 2 hrs
s
7. The bearing S 30° W is equivalent to
A. 0300 B. 0600 C. 120°
. D. 150° E. 2100​

Answers

Answer:

150

Step-by-step explanation:

why because s 30° and half of a cicle is 180°so we minus it 180-30=150

A parking attendant charges a different rate for cars than for trucks. It costs $10.75 to park 3 cars and 2 trucks. It costs $12.25 to park 7 cars and 1 truck. How much does it cost to park a single car? A single truck?

Answers

Answer:

$1.25 to park a car and $3.50 to park a truck

Step-by-step explanation:

Set up a system where c is the number of cars parked and t is the number of trucks:

3c + 2t = 10.75

7c + t = 12.25

Solve by elimination by multiplying the bottom equation by -2 to eliminate t:

3c + 2t = 10.75

-14c - 2t = -24.5

Add them together and solve for c:

-11c = -13.75

c = 1.25

Then, plug in 1.25 as c in the equation to solve for t:

3c + 2t = 10.75

3(1.25) + 2t = 10.75

3.75 + 2t = 10.75

2t = 7

t = 3.5

So, it costs $1.25 to park a car and it costs $3.50 to park a truck

Which statement is true? Question 3 options: A) – |13| = 13 B) |13| = – 13 C) – |–13| = 13 D) |–13| = 13

Answers

Answer:

D) |–13| = 13

Step-by-step explanation:

[tex]- |13| = 13 : \mathrm{False}\\\\\mathrm{Simplify\:}-\left|13\right|:\quad -13\\-13=13\\[/tex]

Option B

[tex]\left|13\right|=-13\quad :\quad \mathrm{False}\\\mathrm{Simplify\:}\left|13\right|:\quad 13\\13=-13[/tex]

Option C

[tex]-\left|-13\right|=13\quad :\quad \mathrm{False}\\\mathrm{Simplify\:}-\left|-13\right|:\quad -13\\-13=13[/tex]

Option D

[tex]\left|-13\right|=13 ; True\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\\left|-13\right|=13\\\\13=13[/tex]

What is the value of ​2×[34−5×(3+1)]​ ?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28}}}}}[/tex]

Step-by-step explanation:

Use BODMAS rule :

Bracket , Of , Division , Multiplication , Addition , Subtraction

[tex] \sf{2 \times [ 34 - 5 \times (3 + 1) ] }[/tex]

Add the numbers : 3 and 1

[tex] \dashrightarrow{ \sf{2 \times [ 34 - 5 \times 4 ] }}[/tex]

Multiply the numbers : 5 and 4

[tex] \dashrightarrow{ \sf{2 \times [ 34 - 20 \: ]  }}[/tex]

Subtract 20 from 34

[tex] \dashrightarrow{ \sf{2 \times 14}}[/tex]

Multiply the numbers : 2 and 14

[tex] \dashrightarrow{ \sf{28}}[/tex]

Hope I helped!

Best regards! :D

Answer:

28

Step-by-step explanation:

i took the test :D

If 80 is divided by the sum of 4 and a certain number , the result is 16 .find the number

Answers

Answer:

x = 60

Step-by-step explanation:

80/ 4+x = 16

(4 + x) * 80/ 4+x = 16 = 16 (4 + x)

80 = 16 + 4 + x

80 = 20 + x

60 = x or x = 60

Which value is the LARGEST?
a. 0.65
b. 33%
3
C.
5
d. 0.75

Answers

Answer:

d.  0.75 (assuming that choice c. is 3/5)

Step-by-step explanation:

Is C. 3/5? I'm assuming it is.

Write all numbers as decimals to make it easier to compare them.

a. 0.65 = 0.65

b. 33%  = 0.33

c. 3/5  = 0.6

d. 0.75 = 0.75

Now that all numbers are written as decimals, we see that the greatest of them is 0.75

Answer: d. 0.75  (assuming that choice c. is 3/5)

Step-by-step explanation:

It's C I mean number 5 because the other ones are below 1 and 5 is greater than 1

convert 22 Australian dollars to US dollars

Answers

Answer:

22 Australian dollars are 16.12 USD

22 AUD to USD = 16.1763 US Dollars.

1. Simplify. 4(2a - 1) - 4 + 7a ​

Answers

Answer:

=15a−8

Step-by-step explanation:

Let's simplify step-by-step.

4(2a−1)−4+7a

Distribute:

=(4)(2a)+(4)(−1)+−4+7a

=8a+−4+−4+7a

Combine Like Terms:

=8a+−4+−4+7a

=(8a+7a)+(−4+−4)

=15a+−8

Answer:

=15a−8

hope i helped

-lvr

which of the following properties does not apply to rectangles - the diagonals bisect each other - all sides are congruent - the diagonals are congruent - all angles are congruent

Answers

all sides are definitely not congruent

what is 135 square root in between on a number line?

Answers

Answer:

11.61

Step-by-step explanation:

It has to be between 11 and 12 and closer to twelve

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