Which of the following values represents (f^-1)'(-1/8) where f(x) = (3x - 1)^3?

A. -1/2
B. 4/9
C. 9/4
D. 1/6
E. -1/6

Answers

Answer 1

Answer:

Answer:A.

x f(x)

-2 4

-1 1

0 0

1 1

2 4

B.

x f(x)

1 6

2 7

3 8

4 9

5 10

C.

x f(x)

-2 -3

-1 -1

0 1

1 3

2 5

D.

x f(x)

1 3

2 6

3 9

4 12

5 15

Step-by-step explanation:

Answer 2

The required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.

What is implicit differentiation?

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

Here,
Let f(x) = y
Given function,
y = [3x -1]²
The inverse of the above function is given as,
f⁻¹(x) = [∛x + 1]/3
Differentiate the above inverse function,
[f⁻¹(x)]' = 1/[9x²/³]
Substitute x = 1/8
[f⁻¹(1/8)]' = 1/[9(1/8)²/³]

[f⁻¹(1/8)]' = 4 / 9

Thus, the required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.

Learn more about implicit differentiation; https://brainly.com/question/11887805

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Related Questions

I can’t tell what the answer is

Answers

Try the one that says plus one
The one that has plus. I think that will be right

Which property does this represent?
0.9 = 0

Answers

Answer:

identity property okayyyyyyyy?

Identity property! ☺️

Because of a virus introduced into a bacterial culture, the population of the bacteria decreasedfrom 3000 to 1000 in 50 minutes. Assuming exponential decay, determine how many bacteriawill remain after 2 hours from the beginning of the experiment.(Note: First give an exactanswer, then round it to the nearest integer.)

Answers

Answer:

208

Step-by-step explanation:

Given that;

Given that;

y= a(1 - b)^t

Where;

wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.

To obtain the constant b,

y= ae^-bt

Substituting values;

1000 = 3000 e^-b(50)

1000/3000 = e^b(50)

0.33 = e^b-(50)

ln (0.33) = ln(e^b(-50))

-1.1 = -50b

b= 1.1/50

b= 0.022

After two hours or 120 minutes;

y= 3000(1 - 0.022)^120

y= 207.8661772

y= 208

Whose statement makes sense ? I say both do. Am I right ??

Answers

Answer:

yup ur right

Step-by-step explanation:

5 time 4 is 20

4 times 5 is also 20

A department store's survey suggests that 76% of shoppers buy food, 49% buy clothes, and 28% buy both food and
clothes Suppose a shopper is selected from the store at random and learn that they buy clothes. What is the
probability that the shopper also buys food?
027
0.39
0.57
0.64

Answers

Answer:

0.57

Step-by-step explanation:

Given that:

food = f ; c = clothes

P(f) = 0.76

P(C) = 0.49

P(fnC) = 0.28

Suppose a shopper is selected from the store at random and learn that they buy clothes. What is the probability that the shopper also buys food?

P(f Given C) = P(f | C)

P(f | c) = p(fnC) / p(C)

P(f | c) = 0.28 / 0.49

P(f | c) = 0.5714

P(f | c) = 0.57

Answer:

.57

guy above me is right

Step-by-step explanation:

find the distance between each pair of points (-1 4) (1 -1)​

Answers

Answer:

[tex]\displaystyle d = \sqrt{29}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-1, 4)

Point (1, -1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute [DF]:                    [tex]\displaystyle d = \sqrt{(1+1)^2+(-1-4)^2}[/tex]Add/Subtract:                       [tex]\displaystyle d = \sqrt{(2)^2+(-5)^2}[/tex]Exponents:                           [tex]\displaystyle d = \sqrt{4+25}[/tex]Add:                                      [tex]\displaystyle d = \sqrt{29}[/tex]

If the bank charges Dominic an overdraft fee of $25 every time he overdraws his account, and Dominic overdrew his account on Thursday but not on Saturday, which of the following is a possible amount of money that Dominic could have had in his account last Sunday? Assume that the only debits and credits not listed are overdraft fees

Answers

Answer:

c 435

Step-by-step explanation:

took the test

Suppose we want to test to see if a roulette wheel is balanced. The wheel is spun 100 time resulting in 58 red outcomes. Is this evidence that the roulette wheel is out of balance

Answers

Solution :

Here, [tex]$ \hat p$[/tex] = sample proportion of red outcomes

[tex]$ \hat p =\frac{58}{100}$[/tex]

[tex]$ \hat p$[/tex] = 0.58

So we have to test,

[tex]$H_0 : p = 0.5$[/tex]

V/S    [tex]$H_a: p \neq 0.5 $[/tex]

The test statistic is

[tex]$z = \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n}}}$[/tex]

[tex]$z = \frac{0.58 - 0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$[/tex]

  [tex]$=\frac{0.08}{0.05}$[/tex]

  = 1.600

P value using the z table is 0.110

So P value greater than 0.05

Therefore, there is no evidence that roulette wheel is out of balance.

A car is `160` inches long.



A truck is `7\%` longer than the car.

Answers

Answer:

171.2 inches

Step-by-step explanation:

7% is equaled to 0.07 and multiplied by 160 equals 11.2 then I added that to 160 to get 171.2 inches. I hope im correct.

1. Ifx- y = 6 and 3x – 10 = 2y, what is the value of y?
I
I
A. -8
B. -4
C.4
D. 8

Answers

Answer:

the answer is -8

Step-by-step explanation:

Well, first you have to make an equation for what x equals, if that makes sense. So you take the x-y=6 and add y on both sides to get x=(y+6). Then you plug that.

Suzy spent $144.00 on 12 pairs of ear rings. How much did she per pair of
ear rings? *

Answers

Answer:

12

Step-by-step explanation:

144 divided by 12 is 12

Which value is in the domain of f(x)?

Answers

Answer: x = 4

Step-by-step explanation:

Here we have a piecewise function.

One piece works for values of x such that:   -6 < x < 0

And the other piece works for values of x such that: 0 < x ≤ 4

Then the domain of this function is:

D = (-6, 0) U (0, 4]

Notice that, becuse we use the symbols ><, the values of x:

x = -6

x = 0

Do not belong to this domain.

While becuase we use the symbol ≤ in the right end, the value x = 4 does belong to the domain.

Then for the given options, the only value that belongs to the domain is the third option, x = 4.

The graph shows the amount of profit in thousands of dollars for a toy each year .A scatter plot of the data is shown below with the line of best fit .

What statement are true related to the line of best fit ? Select all that apply

A.the amount of profit after the first year was around $0.

B.the amount of profit increases about $10,000 each year.

C.the amount of profit decreases about $10,000 each year.

D.the amount of profit after the first year was around $30,000.

E. The amount of profit after 10 years is approximately $120,000.

Answers

Answer:

   

Step-by-step explanation:

We want to  confirm which of the given statement is true about the graph.

A) the amount of profit after the first year was around $0

-----------false

From the given graph, the amount of profit after year was far more $0. So the statement above is false.

B) The amount of profit increases about $10,000 each year ------------true

From the line of best fit shown in the graph, the amount of profit increases each year  by approximately $10,000.

C) the amount of profit decrease about $10,000 each year ------------ False

From the line of best fit on the graph, we can observe that the amount of profit does not decrease. It rather increases every year.

D) the amount of profit after the first year was around $30,000 ------------true

From the given graph, the  amount of  profit after the  first year is approximately $30,000.

So, the statement is true.

E) the amount of profit after 10 years is approximately $120,000  --------- true

At the year 10 on the graph , the  corresponding amount of profit is $120,000.

Help please?!!!!!!!!

Answers

Answer:

12x + 3

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

6 + 4(3x - 2) + 5

Step 2: Simplify

Distribute 4:                              6 + 12x - 8 + 5Combine like terms (Z):            12x + 3
The answer is 12x + 3

Morgan know that 3 gallons of water weigh 25 pounds. How much do 10 gallons weigh?

Answers

Answer:

10 Gallons of water will weigh 1.2 pounds.

Step-by-step explanation:

Each gallon weighs 0.12 pounds, I got this answer from dividing 3 by 25 to see how much one gallon weighs. So if we multiply the weight of one gallon by 10, 0.12*10, then we will find out the weight of ten gallons.

I hope this helped you!! You can ask questions any question you may have, if needed, and I will answer them :)

10 Gallons of water will weigh 1.2 pounds.

Here, we have,

given that,

Morgan know that 3 gallons of water weigh 25 pounds.

now, we need to find how much do 10 gallons weigh.

so, we get,

3 gallons of water weigh 25 pounds.

so, to see how much one gallon weighs we divide 3 by 25 .

i.e. 3/25 = 0.12

Each gallon weighs 0.12 pounds,  

So if we multiply the weight of one gallon by 10,

i.e. 0.12*10, then we will find out the weight of ten gallons.

so, we get,

10 gallons weigh = 0.12*10 = 1.2 pounds.

To learn more on multiplication click:

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30 POINTS AND BRAINLIST TO ANSWER CORRECTLY!!!!!!

Which statement is true of triangles FGH and F’G’H? A. They are congruent because their corresponding angles are congruent. B. They are similar because their corresponding angles are congruent. C. They are similar because their corresponding side lengths are proportional. D. They are not similar because their corresponding side lengths are not proportional

Answers

Answer:

4

Step-by-step explanation:

nbjkcxytdfrhmgnj c

PLEASE PLEASE PLEASE HELP ME

Answers

Answer:

We get the value of x: x= 2

Step-by-step explanation:

Since the triangles are similar, the ratios of the lengths of corresponding sides are same.

We can use proportions to find the value of x

The proportion will be:

[tex]\frac{BD}{DA}=\frac{BE}{EC}[/tex]

Now putting there values we can find value of x

We have:

BD = 6, DA = 4, BE = x+1, EC =x

Putting values

[tex]\frac{BD}{DA}=\frac{BE}{EC}\\\frac{6}{4}=\frac{x+1}{x} \\Cross\:Multiply\\6x=4(x+1)\\6x=4x+4\\6x-4x=4x+4-4x\\2x=4\\x=\frac{4}{2}\\x=2[/tex]

So, we get the value of x: x= 2

please help : x^3-57x+56 by x-7​

Answers

Answer:

x^2+7x-8

Step-by-step explanation:

LOOK AT PICTURE, THEN ANWSER THE QUESTION. WHOEVER HAS CORRECT ANSWER I WILL MAKR BRAINIEST!!!

Answers

I think it’s c sorry if you get it wrong

HELP QUICK PLSSSSS ILL GIVE LOTS OF POINTS

Answers

Answer:

B - $41,500

Step-by-step explanation:

After Subtracting his liabilities this is what I got.

Hope this Helps!

:D

Difference between a number and its positive square root is 12 Find the number.

Answers

Answer:

156

Step-by-step explanation:

x - √+ = 12

= 12^2= 144

x = 144

Which of the following radical expressions simplifies to 6x^4y^3√2y?

Answers

The answer is J. Brainliest please :)

Write the product in its simplest form:
бу - бу?

Answers

Answer:

0

Step-by-step explanation:

This deals with simplification or other simple results.

4.
Solve for the value
of n.
0.72 = 0.4(n + 1.4)
Draw or add images here

Answers

I recommend using online calculators for example, look up your subject and then put “calculator” after it. Like for example, “Find the slope calculator”

48n + 35m - 6m =

please answer asap​

Answers

Answer:

29m+48n

Step-by-step explanation:

48n + 35m - 6m =

48n+29m

· y-5x = 3 what is the answer to the question

Answers

Answer:

-3

Step-by-step explanation:

y-5x = 3

use the commutative property to reorder the terms

-5x + y = 3

change the signs on both sides of the equations

-5x + y = -3

what is the measure of E

Answers

Answer:

The measure of angle E is:

m∠E = 80°

Step-by-step explanation:

Given

The triangle ΔDEF

It is stated that DE=EF and G is the midpoint of EF.

It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.

Given

m∠GDE = 10°

As the right-angle triangle, ΔDEG lies at the right-angle G.

So, m∠DGE = 90°

as

m∠GDE = 10°

m∠DGE = 90°

m∠E = ?

We know that the sum of angles of a triangle is 180°.

m∠GDE + m∠DGE  + m∠E = 180°

10° + 90° + m∠E = 180°

100 + m∠E = 180°

m∠E = 180° - 100

m∠E = 80°

Therefore,

The measure of angle E is: m∠E = 80°


2^-2 times how much is 2^-1?Does the answer match your answer from question 3a? Why or why not?

Answers

Answer: This value of x, 2, matches the answer from question 3a . This value shows that the area painted the first weekend is twice the area painted the second weekend.

Using the chart above, which of the following statements is true when comparing the account balances?

Answers

Answer:

d

Step-by-step explanation:

The construction worker returns to the surface of the ground. What is her elevation?

Answers

Answer:

Step-by-step explanation:

usually the ground is elevation 0

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