Find (f^-1)'(7) without finding the inverse function where f(x) = 5 – 2x^3.

Answers

Answer 1

Step-by-step explanation:

the derivative of an inverse function is

1/f'(f^-1(x))

f'(x) = -6x²

f^-1(7) is solving the original function equation for x under the knowledge that y = 7

7 = 5 - 2x³

2 = -2x³

-1 = x³

=>

x = -1

f'(-1) = -6×(-1)² = -6×1 = -6

so,

(f^-1)'(7) = -1/6


Related Questions

a brick of himalayan salt measures 20x10x4 and weighs 1 kg and 600 gs what is its density

Answers

Answer:

t and the tree is the relationship of

A brick of himalayan salt measures 20 x 10 x 4 and weighs 1 kg and 600 gs. then the density will be; 0.002 kg/cubic unit.

How are density, volume and mass of a substance related?

Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing. Suppose that a finite amount of substance is there having its properties as:

mass of substance = m kg

density of substance = d kg/m³

volume of that substance = v m³

Then, they are related as:

d = m/v

Given that a brick of himalayan salt measures 20 x 10 x 4 and weighs 1 kg and 600 gs.

Density = Mass / Volume

Density = 1.6 kg / 20 x 10 x 4

= 0.002 kg/cubic unit.

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Assume that there are 11 girls and 10 boys in the neighborhood club, and a team of 8 is to be selected.
How many different teams can be selected if each team must contain both boys and girls?

Answers

Answer:2

Step-by-step explanation:

Determine the difference. 3/4 – 5/16 = ?
options:
7/4
12/16
7/16
7/0

Answers

Answer:

7/16

Step-by-step explanation:

Answer:

7/16 is the correct answer.

Step-by-step explanation:

3/4-5/16

=12-5/16 (taking LCM)

=7/16

Hope this helps you. Have a nice day. Please amrk as brainliest. It helps a lot.

Find the value of x ?

Answers

Answer:

x = 232

Step-by-step explanation:

We know the measure of two angles now if you add both of them (90 +38) it will get u to 128now subtract 128 from 360and it will give u 232.

Find the sine ratio of angle O. Hint: Use the slash symbol (/) to represent the fraction bar, and enter the fraction with no spaces. (4 points)

Answers

Hello,

Correct Answer is 12/3

Step-by-step explanation:-

For angle theta, perpendicular side is AB=12 and hypotenuse side is BC=13.

The sine of angle is equal to the ratio of perpendicular side to the hypotenuse side. So, sine of angle theta is:-

[tex]sin \: θ = \frac{12}{3} [/tex]

So, sine ratio angle is 12/3.

{ Note: Here, the ratio is written using slash (/) symbol as it is asked to use the slash symbol in the answer. }

✍️ By Benjemin ☺️

look at the pictuse below i would copy and paste but I can't copy a picture

Answers

Answer:

I can't really see it so i don't know I'm sorry

Answer:

15

Step-by-step explanation:

Wich of the following powers is the same as 2^5

Answers

None. There is no solution. None of them are equal. 2 to the fifth power is 32.

Most of them equal to something above 80 or are between 50 and 200.

f(x)=(Power[x,2]+x)Power[e,-x]

Answers

am,sorry,no se si esta bien:(

ok, got some year 12 maths.

whats 7+3

Answers

Answer:

.............It should be 10 :)

Unit form of 13/5 divided by 4/5l

Answers

Answer:

663/20

Step-by-step explanation:

if you want simplist form its 33 3/20 or decimal its 33.15

HELPPP PLEASE!!! I’M BEING TIMED!!!!

Answers

Answer:

y= -7x -27

Step-by-step explanation:

This graph shows the altitude of a helicopter over time.



What is the slope of the line and what does it mean in this situation?


The slope is –2000 . This means that the helicopter descends 2000 ft each minute.

The slope is –400 . This means that the helicopter descends 400 ft each minute.

The slope is 400. This means that the helicopter ascends 400 ft each minute.

The slope is 2000. This means that the helicopter ascends 2000 ft each minute.

Answers

Answer:

B. The slope is –400

Answer: -400

Step-by-step explanation:

What is 56 divided by 98

Answers

Answer:

0.571428571

Step-by-step explanation:

Simply go into a calculator app and say 56/98

cuanto es 21:45 dividido a 7:15?​

Answers

Answer:

Entraría 3 veces.

Step-by-step explanation:

Podemos probar esto encontrando el máximo común divisor entre 21 y 45

21: 1,3,7,21

45: 1,3,5,9.15,45

Encontramos que 3 es el máximo factor común. Entonces dividimos ambos números por 3. Para obtener 7:15.

Polynomials

Multiply (x - 5)(3x – 2)

Answers

9514 1404 393

Answer:

  3x² -17x +10

Step-by-step explanation:

Use the distributive property and collect terms.

  (x -5)(3x -2) = x(3x -2) -5(3x -2)

  = (3x² -2x) +(-15x +10)

  = 3x² -17x +10

PLEASE HELP ME! Only answer if correct. :)

Answers

Answer:

i don't know

im kinda silly lol lol lol lol lol lol lol lol lol

(14+y)+3 please im stuck on this question

Answers

Answer: Just add the 14+3

= Y17

Step-by-step explanation:

The water level in a lake was monitored and was noted to have changed −1 1/5 inches in one year. The next year it was noted to have changed −1 3/10 inches.
What was the total change in the water level over the two years?

Enter your answer as a simplified mixed number by filling in the boxes.

$$
in.

Answers

Answer:

-2 1/2

Step-by-step explanation:

Answer:- 3 1/2Step-by-step explanation:-1 1/5 + -1 3/10 = -3 1/2I had gone with the other person's answer but according to K12, it was wrong. This is the correct answer with proof:~Hope this Helps~

HELP ME PLEASE!! NO FAKE ANSWERS PLEASE!! :D ILL GIVE BRAINILEST FOR THE CORRECT ANSWER!!!!

Answers

Answer:

x=20

Step-by-step explanation:

It all equals 360º and there are two of each angle. So, we can add 5x+5x+(3x+20)+(3x+20)=360º. Subtracted 40 and simplify. So 16x=320.So divide by 16 and you get that x=20.


what's .612 with twelve repeating as a fraction in its simplest form?

Answers

Answer:

101/165

Step-by-step explanation:

Answer:

101/165

Step-by-step explanation:

What 2 numbers have a total of 34 and a difference of 8?​

Answers

Answer:

21 and 13

Step-by-step explanation:

What is 35% of $2,195.73

Answers

768.51 dollars should be your answer it is 2195.73 * 0.35

Answer:

768.51

Step-by-step explanation:

To find 35% change the percentage to a decimal (.35)

Then multiply the original amount by .35

2195.73 *.35

768.5055

Since this is money, we round to the nearest cent

768.51

Which of the following is an arithmetic sequence?

A. -2, -4, -8, -32...
B. 0, 5, 11, 24...
C. 1, -3, 9, -27, 81...
D. 0, 6, 12, 18, 24...​

Answers

Answer:

The answer is letter D 0,6,12,18,24

Step-by-step explanation:

hope it's can help

Write an equation in slope-intercept form
of the line that passes through the point
(-12,6) and is perpendicular to the line
X= - 3/4y -5 ( What would be my first step to put that equation into slope intercept form?) 

Answers

Hint :-

The product of slopes of two perpendicular lines is -1 . The slope intercept form of the line is [tex] y = mx + c [/tex] .The point slope form of the line is [tex] m(x-x_1) = (y-y_1) [/tex]

Solution :-

The given equation to us is ,

[tex]\implies x = \dfrac{-3}{4}y - 5 [/tex]

Convert it to slope intercept form we have ,

[tex]\implies 4x =-3y -20 \\\\\implies 3y = -4x -20 \\\\\implies y =\dfrac{-4}{3}x -\dfrac{20}{3}[/tex]

On comparing to the slope intercept form of the line we have ,

[tex]m = \dfrac{-4}{3}[/tex]

As we know that the product of slopes of two perpendicular lines is-1 , henceforth ,

[tex] m_{perp}= \dfrac{3}{4}[/tex]

Now using slope point form rewrite the equation of the perpendicular line ,

[tex]\implies y-y_1 = m(x-x_1) \\\\\implies y -6 = \dfrac{3}{4}(x+12)\\\\\implies 4y -24 = 3x + 36 \\\\\implies 3x -4y +36+24=0\\\\\implies \underline{\boxed{ \gray{3x -4y +60=0}}}[/tex]

Multiply. (−6/35)⋅14/27 What is the product? Enter your answer as a fraction, in simplified form, in the box.

Answers

Answer:

-4/45

Step-by-step explanation:

[tex]\dfrac{-6}{35}*\dfrac{14}{27}=\dfrac{-6}{5}*\dfrac{2}{27}[/tex]

14 and 35 are given by 7th table.

               [tex]= \dfrac{-2}{5}*\dfrac{2}{9}[/tex]      

Now , 6 and 27 are given by 3rd table

                [tex]=\dfrac{-4}{45}[/tex]

Answer:

-4/45

Step-by-step explanation:

2.03 Quiz: Multiply Signed Fractions

Write an
equivalent fraction for 2/5 with 45 as the denominator.

Answers

Answer:

18/45

Step-by-step explanation:

First you set 2/5 equal to x/45.

Then you see what number you need to multiply 5 by to get 45

Multiply 2 by the number you got and you get x.

The equivalent fraction for 2/5 with a denominator of 45 is 18/45.

We need to figure out what number we can multiply the numerator and denominator by to get the necessary denominator in order to discover an equivalent fraction for 2/5 with a denominator of 45.

The denominator must be multiplied by 9 in order to be converted from 5 to 45 (45 ÷ 5 = 9). To keep the ratio and get the equal fraction, we will also multiply the numerator by 9.

2/5 x 9/9 = (2 x 9) / (5 x 9) = 18/45

As a result, 18/45 is the corresponding fraction for 2/5 with a denominator of 45.

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(2t)^3 x (3t)^2 is what

Answers

Answer:

(23•32t5x)

Step-by-step explanation:

STEP1:

Equation at the end of step1:

(((2t)3) • x) • 32t2

STEP2:

Equation at the end of step2:

(23t3 • x) • 32t2

STEP3:

Multiplying exponential expressions :

 3.1    t3 multiplied by t2 = t(3 + 2) = t5

Final result :

(23•32t5x)

A pot contains 30 ounce's of soil. You use 2 3/4 ounces of soil to plant 1 herb.Is there enough soil in the pot to plant 10 herbs?

Answers

Yes, because if you round 2 3/4 to 3 And then divide 30 by 3 you get 10 so you could plant 10 plants

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 point

Answers

(g + 4) – 3g = 1 + g

can someone help me?

G=?

Solve the inequality 2x + 5 2 27

Answers

Answer:

[tex]2x + 5 \geqslant 27 \\ = 2x \geqslant 27 - 5 \\ = 2x \geqslant 22 \\ = x \geqslant 22 \div 2 \\ x \geqslant 11 \\ x[11 \: \infty ) \\ thank \: you[/tex]

Step-by-step explanation:

Hope this help you

If this help you then mark me as a brainliest

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