30 POINTS:
Function f satisfies f(0) = 2 and f ′(0) = −2. Use this information to compute f^−1′(2).

Answers

Answer 1

Answer:

-1/2

Step-by-step explanation:

The relevant relationship is ...

  f^-1'(x) = 1/f'(f^-1(x))

  f^-1'(2) = 1/f'(f^-1(2)) = 1/f'(0) = 1/-2

  f^-1'(2) = -1/2

_____

The attached graph shows the tangent lines at the relevant points. The red line is the tangent to f(0); the blue line is the tangent to f^-1(2).

The inverse function is the function reflected across the line y=x. So, too, for the tangent lines to the function. Each is a reflection of the other across the line y=x. For the purpose here, the tangent line is a suitable representation of the function at the point(s) of interest.

30 POINTS: Function F Satisfies F(0) = 2 And F (0) = 2. Use This Information To Compute F^1(2).

Related Questions

find the values for k
5k^2 - 4k > 0

Answers

Answer:

[tex]5k^2-4k>0[/tex]

[tex]k(5k-4)>0[/tex]

In the image attached, you want the values above 0. Thus, the values of k would be in the red area, which is

[tex]k<0[/tex] or [tex]k>\frac{4}{5}[/tex]

Write the following numbers in order of size. Start with the smallest number. -8 2 -12 5 10 ​

Answers

Answer:

-12, -8, 2, 5, 10

Step-by-step explanation:

-12, -8, 2, 5, 10

Answer:

-12, -8, 2, 5, 10

Step-by-step explanation:

We have to remember here that when integers are negative, the number that looks the biggest is actually the smallest! What do I mean? Well, a value of -100 is actually way smaller than a value of -1, since it's a lot farther to the left of 0 than -1 is. Does that make sense?

Let's take that in mind as we start looking at our values. If what I just said is true, -12 is the smallest value, since it's the farthest to the left of 0. Then comes -8. From there, it's not too hard. 2 is the next smallest, then 5, and finally, 10 is our greatest number.

So, our answer is -12, -8, 2, 5, 10. Hopefully that's helpful! :)

x =

82
262
98

when answering this can you explain how you got the answer so i can stop asking brainly.

Answers

Answer:

82

Step-by-step explanation:

in a quadrilateral the sum of opposite sides should be 180 degrees

The answer is 82

The angles opposite from each other are supplementary, meaning they equal 180 degrees

180 - 98 = 82

Martin Brothers Moving rents moving vans by the hour. The company charges a flat fee of

$17.99, plus an additional $19.99 per hour.

Write an equation that shows how the cost of renting a moving van, y, depends on the

number of hours the customer rents it for, x.

Answers

Answer:

y = 19.99x + 17.99

(I just did it)

Answer:

Step-by-step explanation:

2

se quiere construir una casa en 10 dias 10 obreros trabajando 10 horas si se incrementa 2 obreros pero se disminuye 2 horas ¿en cuantos dias se acabaria la casa?

Answers

se necesitarían 14 días para construir la casa

Can some one help in thsi with the steps required

Answers

Answer: 24.5 m² ( area)

Step-by-step explanation:

See , Total area of wall is given - length , 6m - width/breadth , 5m

          so , Area of total wall = l x b = 6*5 = 30m²

so , there is a window whose length is 2 meters and breadth/width of 0.5m

         so , Area of window = l x b = 1m²

So , area of door  = length , 3 - Width/breadth- 0.5 m²

        So , Area of door = 3* 1.5 = 4.5

Then the question wants us to find the area of the wall without counting window and door . So we can subtract the area of door and window from the area of the whole wall to get the area of the wall without the window and door .

= total area of wall - area of window and door

30m²-1m²-4.5

So as a result , we get a total area of the wall without the window and door to be painted as  24.5m²

Dillon earned $170 working 20 hours at the carwash what was his hourly rate of pay?​

Answers

To find this answer, we must divide the amount Dillion earned, by the time he put into his work.

170 / 20 = 8.5

Therefor, we now know that Dillion makes $8.5 an hour.

The functions f and g are defined as follows.
3
f(x) = 3x - 3 g(x) = 3x' +5
Find f(-6) and g(-3).
Simplify your answers as much as possible.
f(-6) -
X
g(-3) =

Answers

F(-6)=3(-6)-3
-21
G(-3)=-4

Six ounces of a nutrition shake provides 2 grams of protein. Will 24 ounces of the drink provide 10 grams of protein? Explain

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

In pic

Please help I need to find the scale factor for the side lengths!!!

Answers

Answer:

The blue thing is 4 times smaller than the big thing.

Step-by-step explanation:

Answer:

  1/4

Step-by-step explanation:

The image/preimage scale factor can be found by considering the lengths of corresponding sides.

  Q'R'/QR = (4-2)/(16 -8) = 2/8 = 1/4

The scale factor is 1/4.

If a ping pong ball falls from the top of a building that is 168 feet high, how many seconds will it take the ball to hit the ground

Answers

Answer:

3.2 seconds

Step-by-step explanation:

LCM of 4/6 and 4/8????

Answers

Answer:

24 is the LCM of 4,6,8. I think thats what your looking for.

Hope this helps!

Step-by-step explanation:

Help me with this please

Answers

Answer:

5

Step-by-step explanation:

By process of elimination, we can say for sure that C and D are not the right answers because as x- the numbers on the top- increases, y- the numbers on the bottom- increases. This means that the slope is not negative, because the slope is the rate of change and it does not have a negative rate of change.

The equation for slope is y2-y1 / x2-x1. Meaning, y is on top and x is on bottom. This creates a fraction. So let's take 0 and 1 for X, the first and second values, and 3 and 8 for y, the first and second values. We swap them, because the second y value comes first, so we have 8 - 3 for the top, the numerator. Then we have 1 - 0 for the bottom, the denominator. Solving 8 - 3 and 1 - 0, we have 5/1. 5/1 simplifies to 5, and thus 5 is your slope.

all things algebra unit 5 homework 2

Answers

21-11-23 = 3444
that’s the answe

HELP ME PLEASEEEEEE!!!!!!!!

Answers

Answer:

probs C

Step-by-step explanation:

hope it helps

What is the slope of this line?

−12

12

2

Answers

2 is the answer!!

MARK ME BRAINLIEST PLSSSS

Use the distributive property to
expand the expression below.
6(2a – 3) = [?]a - [ ]

Answers

Answer:

12a - 18

Step-by-step explanation:

6 x 2 = 12 (then add the "a" = 12a

6 x 3 = 18

put the minus in the middle then get

12a- 18

Hey if someone can help me I'd appreciate it please show your work.

Answers

Answer:

Step-by-step explanation:

Umm what is your question u did not add it?

Which is the best estimate for the length this tube

Answers

Answer:

Step-by-step explanation:

Plz help me solve for x and y

Answers

Answer:

x = 40°

y = 30°

Step-by-step explanation:

Given parallelogram ABCD :

∠A = 3x°∠B = 2y°∠C = 120°∠A = ∠C∠B = ∠D∠A + ∠B = 180°∠B + ∠C = 180°∠A + ∠B + ∠C + ∠D = 360°

∠A = ∠C

3x = 120

x = 120 ÷ 3

x = 40°

∠B + ∠C = 180°

2y + 120 = 180

2y = 180 - 120

2y = 60

y = 60 ÷ 2

y = 30°

Answer:

x = 40°

y = 30°

Step-by-step explanation:

Given the diagram of a parallelogram, where:

∠A = 3x°, ∠B = 2y°, and ∠C = 120°

The given problem also requires us to find the values of x and y.

In reference to the Parallelogram Opposite Angles Theorem, where it states that: if a quadrilateral is a parallelogram, then it will have congruent opposite angles.  In other words, ∠A ∠C , and ∠B ∠D.

Solve for x:

Hence, we can establish the following equality statement to solve for the value of x:

m∠A = m∠C

3x° =  120°

Divide both sides by 3 to solve for x:

[tex]\displaystyle\mathsf{\frac{3x^{\circ}}{3}=\:\frac{120^{\circ}}{3}}[/tex]

x = 40°

Therefore, the value of x = 40°.

Solve for y:  

In order to solve for y, we must refer to the Parallelogram Consecutive Angles Theorem, where it states that if a quadrilateral is a parallelogram, then its consecutive angles are supplementary whose sum add up to 180°.

In the given diagram, ∠A and ∠D, ∠B and ∠C are consecutive angles.  

We can establish the following equation to solve for the value of y:

m∠B + m∠C = 180°

2y° + 120° = 180°

Subtract 120° from both sides:

2y° + 120° - 120° = 180° - 120°

2y° = 60°

Divide both sides by 2 to solve for y:

[tex]\displaystyle\mathsf{\frac{2y^{\circ}}{2}=\:\frac{60^{\circ}}{2}}[/tex]

y = 30°

Therefore, the value of y = 30°.

Write an equation that represents the line. Use exact numbers

Answers

Answer: [tex]y=\frac{2}{3}x+1\frac{1}{3}[/tex]

Step-by-step explanation:

take 2 points and use slope formula to find slope

[tex]\frac{4-2}{4-1}[/tex][tex]=\frac{2}{3}[/tex]

take the slope and a point on the graph and use point slope formula to get equation in point slope intercept form

[tex]y-2=\frac{2}{3}( x-1)[/tex]

[tex]y-2=\frac{2}{3}x-\frac{2}{3}[/tex]

[tex]y=\frac{2}{3}x-\frac{2}{3} + 2[/tex]

[tex]y=\frac{2}{3}x+1\frac{1}{3}[/tex]

Find the slope of the table.

Answers

Answer:

Slope= -4

Step-by-step explanation:

Slope is rise over run (y over x)

So, looking at the table, you can see that every time the y values went down by 8, the x values went up by 2.

So, the slope can be written as:

-8/2

Simplified to -4/1 or just -4

A service call for repairing your mower is $50 plus $80 per hour.
How many hours did it take to service your mower if the charge was
$90?

0.2 hours
0.5 hours
1.125 hours
2 hours

Answers

Answer:

0.5 hours

$130 = 1h

$90 = 30m/1h

The price of Stock A at 9 AM was $12.73. Since then, the price has been increasing at the rate of $0.06 per hour. At noon, the price of Stock B was 13.48. It begins to decrease at the rate of $0.14 per hour. If the stocks continue to increase and decrease at the same rates, in how many hours will the prices of the stocks be the same?

Answers

Answer:

Let the hours when they equalize=h, then we have:

12.25 + .13h=13 - .09h

.13h + .09h=13 - 12.25

.22h=.75 divide both sides by .22

h=.75/.22

h=3 9/22, hours, when they will equalize.

The stock prices will be the same in 3.4 hours.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

At 9 a.m., the price of Stock A was $12.73. Since then, the price has risen at a pace of $0.06 per hour. Stock B was trading at 13.48 at midday. It starts to fall at a pace of $0.14 each hour.

Let's assume the hours would be h when to equalize,

As per the given question, we can write the equation as:

12.25 + 0.13h = 13 - 0.09h

Rearrange the terms of h in the above equation,

0.13h + 0.09h = 13 - 12.25

Combine the likewise terms in the above equation,

0.22h = 0.75

Divide both sides by 0.22

h = 0.75/0.22

h = 3.4

Thus, the stock prices will be the same in 3.4 hours.

Learn more about the equation here:

brainly.com/question/13947055

#SPJ2

What is the equation of the line that passes through the point (-6,-2)and has a slope of 1/6

Answers

Answer:

y = 1/6x -1

Step-by-step explanation:

Use point-slope form: y - y₁ = m (x - x₁)

y - (-2) = 1/6 (x - (-6))

y + 2 = 1/6x + 1

y = 1/6x - 1

Answer:

[tex]y=\frac{1}{6}x-1[/tex]

Step-by-step explanation:

According to,

y = mx + c

They have already given the slope of the line.

That means they've given value for m

So,

m = [tex]\frac{1}{6}[/tex]

And now we have to find the value of c ( the intercept on the y axis) using (-6,-2)

Here,

 ( -6 , -2 )

   ↑    ↑

  ( x ,  y )

Let us find the c now.

y = mx + c

[tex]-2 =\frac{1}{6} *-6+c\\-2=\frac{-6}{6} +c\\-2=-1+c\\-2+1=c\\-1=c[/tex]

Now let's write the equation of the line like this

y = mx+ c

[tex]y=\frac{1}{6}x-1[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

worth 30 pts pls helppp

Answers

Answer:

Step-by-step explanation:

it is blank

PLS HELP PLS ILL GIVE BRAINLKEST THANKS

Answers

Answer:

2 d>7 because at first you have to distance how much hours is from Virginia to Florida and thats approximately 12hrs and 33 minutes so, d is greater than 7 hours

The area of a trapezoid is 65mm2, the top is
9mm long, the height is 11mm long.

Find the base of the trapezoid.

Answers

Answer:

[tex]2.\bar{81}mm[/tex]

Step-by-step explanation:

First the formula for find the are of a trapezoid is:

[tex]A = \frac{h(a+b)}{2}[/tex]

Where [tex]a[/tex] is the top, [tex]h[/tex] the height and [tex]b[/tex] the base measures.

Then we need to know what is the base ([tex]b[/tex]), for that isolate [tex]b[/tex] from the equation

[tex]2A = h(a+b)\\\frac{2A}{h} = a+b\\\frac{2A}{h} - a = b[/tex]

Then in the new equation replace the given values:

[tex]A = 65mm^2\\a = 9mm\\h = 11mm[/tex]

[tex]\frac{2 \cdot 65mm^2}{11mm} -9mm = b\\\frac{130mm^2}{11mm} -9mm = b\\11.\bar{81}mm -9mm = b\\2.\bar{81}mm = b[/tex]

So the final answer is [tex]2.\bar{81}mm[/tex]

plz help will mark as brainliest​

Answers

-7.5

Explanation:

15/2 = 7.5
7.5 - 15 = -7.5

Step-by-step explanation:

tae tae tae tae tae tae tae tae

There is 358 pieces of pumpkin pie by the time dessert comes around there are only 7 guest left how many pieces can each person get if it is shared equally how many will be left over

Answers

51 slices is the answer
Other Questions
I don't know what to put in the blanks, need help asap please Louise spins the spinner twice. Which probabilities are correct? Check all that apply. Select the geometric figure that correctly matches with the following formula:A=[tex]\pi r^{2}[/tex] what is the value of a in a/5 + 3= 8 A tennis ball thrown with a velocity of 25m/s[Fwd] in the horizontal direction from the top of an 80m high building.1. How long does it take the tennis ball to reach the ground?2. How far is the range (how far from the base of the building will the ball land) ?3. What is the final velocity?Even answering one will help me out and i will give brainlest! Billy Bob is 42 years old, lives in Arizona, and moved to the United States 6 years ago.Which side of the Legislative Branch can he serve in? Why? Aryn and Mary started at the organization on the same day. Both are hard workers and perceive that they are equitably rewarded for their efforts. According to equity theory, it is likely that both will __ Please help. Will give brainiest. Write the equation of the line, in point-slope form. Identify (x 1 , y 1 ) as the point (-2, 2). Use the box provided to submit all of your calculations and final answers. the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction. (step by step) 8. Do you think that their dream is an achievable one? Explain your reasons for your answer. Within the cell, vacuoles can be thoughtof as which of the following? 75 apples is shared between Jade and Faith in the ratio 3:2. How many apples does Jade get? * Even though the Supreme Court ruled that school segregation was unconstitutional, why do you think schools in the South did not immediately desegregate? (Read the tiny passage) Read the passage from Sugar Changed the World.THE AGE OF HONEYThere was a time before sugar, when those white grains that melt on your tongue did not exist anywhere on earth. Historians speak of the Iron Age, the Bronze Agemetals that were used in weapons and tools. But we could just as well speak of the first several thousand years of human history as the Age of Honey.How does the heading serve the authors purpose?A. It lets the reader know that the authors are going to describe how honey relates to the story of sugar.B. It suggests that the authors think that honey is more important because it was used before sugar.C. It informs the reader that the authors are going to talk about many different types of sweeteners.D. It reveals that the authors will focus on how honey is made and why it is still a popular sweetener. Which of the following questions could you ask the consumer to help determine if they are enrolled in PACE or another SCO plan? Which of the following best describes the relationship between relative humidity and temperature?. Capital State University agreed to pay for Irene to attend their school and play lacrosse for their team. As part of their arrangement, Irene is not required to pay the school back. Which form of financial aid did Irene receive How do you know how to order an empirical formula? Derivative this Problem. Despus de leer el cuento "Como se vive en mi pueblo" de Lindaura Anzotegui de Campero, realiza en tu cuaderno el anlisis sobre el lenguaje usado por la autora, con base en los siguientes criterios: - - Expresiones cultas - - Expresiones vulgares del pueblo