The table below gives selected values for the differentiable and decreasing function f and it’s derivative. If f^-1(x), what is the value of g’(9)

The Table Below Gives Selected Values For The Differentiable And Decreasing Function F And Its Derivative.

Answers

Answer 1

According to the table, f(x) = 9 when x = -5. So if g(x) is the inverse of f(x), it follows that g(9) = -5.

By the inverse function theorem,

[tex]g'(9) = \dfrac1{f'(g(9))} = \dfrac1{f'(-5)} = \boxed{-\dfrac14}[/tex]


Related Questions

You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level?

Answers

Answer:

There is not enough evidence to support the claim that drug is effective at 1%

Step-by-step explanation:

For this we use the pored test as we have dependent test;

Difference :

10,5,-5,3,-3,4,2,-3,0,10,8,-2,3,-2,5,5,4,0

Hypothesis :

H0 : μd = 0

H0 : μd ≠ 0

The mean of d, dbar = Σd / n = 44 / 18 = 2.44

The standard deviation, Sd = 4.45 (using calculator)

The test statistic, T : dbar / (Sd/√n)

T = 2.44 / (4.45/√18)

T = 2.44 / 1.0488750

T = 2.326

Degree of freedom, df = n - 1 ; 18 - 1 = 17

The Pvalue = 0.0326

α = 0.01

Since Pvalue < α ; we fail to reject H0

4(2+-3)2?
I will give 10 points!

Answers

Answer:

-8

Step-by-step explanation:

Use PEMDAS (solve for parenthesis first):

4(2 + -3)2

4(2 - 3)2

4(-1)2

(-4)2

-8

4(2 + 3) 2

=4. 5. 2

=4 0

At the scene of an accident on a country road, police find skid marks stretching for 50 m.
Tests on the road surface show that a skidding car decelerates at 6.5 ms-2. Was the car which
skidded exceeding the speed limit of 25 ms-1 (90 kmh-1) on this road?
A. Yes B. No C. The information given is not sufficient.

Answers

Answer:

h and the rest are the best for me 7-Eleven you have to go for your

Step-by-step explanation:

happy new years and hope you have not forgotten you and have been busy happy weekend to your the as is have weekend lot here well the there is you idom not you big very for hard while and there can't a help night get be to good in the world of the world and the world is a doctor that is a good friend and is not a good person .

three different are rung at intervals of 36 minutes 40 minutes and 48 minutes if they were rung together at 9 a.m. at what time would they be rung together again?​

Answers

To find the time in which all the bells ring together, we need to find the LCM of 36,40,48.

Prime factorization of 36=2×2×3×3

Prime factorization of 40=2×2×2×5

Prime factorization of 48=2×2×2×2×3

Hence, LCM of 36,40,48=2×2×2×2×3×3×5=720 seconds.

 

720seconds=  

60

720

minutes=12minutes

Hence, all the bells will ring together after 12 mi

Answer:

9pm or 12 hours from 9am.

please help meeeeeeeeeeeeee

Answers

Answer:

a)-2x(x+4x²)+3(x²+2x)

-2x²-8x³+3x²+6x

-2x²+3x²+6x-8x³

x²-8x³+6x

in descending order

-8x³+x²+6x

b)(4x-3)(4x+3)

4x(4x+3)-3(4x+3)

16x²+12x-12x-9

16x²-9

I hope this helps and sorry if it's wrong

The translation of ABCD to A'B'C'D'
is given by (x+[?],y-[ ).
5
B
С
4
3
2
A А
D
C
1
B В
23 -2 -1 0
-1
-7 -6
-5
-4
1
2
3
4
2
A'
D'
Enter

Answers

Answer:

(x+2,y-4)

Step-by-step explanation:

The correct answer is (x+2, y-4)

The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Translation is the movement of a point either up, left, right or down.

ABCD has vertices at A(-6, 2), B(-5, 4), C(-2, 4) and D(1, 2). If ABCD is translated 4 units down and 2 units right, the new point is A'(-4, -2), B'(-3, 0), C'(0, 0) and D'(3, -2)

The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).

Find out more on transformation at: https://brainly.com/question/1548871

Find a recursive rule for the nth term of the sequence.

-7, -42, -252, -1512, ...

Answers

Answer:

-7*6^n

Step-by-step explanation:

The sequence is -7*6^n.

A few examples of this are the following,

ex.)

-7*6^0 = -7

-7*6^1 = -42

-7*6^2 = -252

A circle has a radius of 9 mm. What is its circumference?
Use 3.14 for a

Answers

Answer:

56.52 mm

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *

C = 2 * 3.14 * 9

C = 56.52

Answer:

[tex]56.52\text{ mm}[/tex]

Step-by-step explanation:

The circumference of a circle with radius [tex]r[/tex] is given by [tex]A=2r\pi[/tex].

We're given a radius of 9 mm and told to use [tex]\pi=3.14[/tex]. Substituting these values, we get:

[tex]A=2(9)(3.14),\\A=\boxed{56.52\text{ mm}}[/tex]

can you help me to do this ​

Answers

Answer:

keep the pic clearly

Step-by-step explanation:

keep the pic clearly

HELPPPPPPPPPPPPPPPP:))))))

Answers

Answer:

Step-by-step explanation:

Since T is in Quadrant II, sinT > 0 and cosT < 0.

cotT = -5/12

Help pls will give brainliest

Answers

Answer:

hello,

answer C

Step-by-step explanation:

area of the rectangle=2b*b=2b²

area of the half cercle= [tex]\\\dfrac{\pi*(\frac{c}{2})^2}{2} =\dfrac{\pi*c^2}{8} \\[/tex]

Area in blue= 2b²-πc²/8

Someone help me out please

Answers

Answer:

254.5

Step-by-step explanation:

Area = πr²

= π×9²

= 81π

= 254.5 (rounded to the nearest tenth)

Answered by GAUTHMATH

HELPPP MEE PLEASE!!!
Consider the function shown on the graph.

Answers

Answer:

Domain x ≥ - 5

Range y ≥ - 2

Step-by-step explanation:

x ≥ - 5

y ≥ - 2

methemetikcs but anyways yea I don't understand this I'm any way shape or form.​

Answers

Answer:

C

Step-by-step explanation:

The center of the large circle is Center D. It has can area of 900 pi square units. This means that according to the formula of the area of circle,

[tex]\pi {r}^{2} [/tex]

The radius of the large circle is 30.The diameter of the large circle is 60.

Since Point D is the center of the large circle, by definition of a circle, diameter, and radius.

AD=30, DB=30, and AB=60.

The area of the 3 small circles are equal so this means that the radius,any physical characteristics of the 3 circles are equal.

This means that each diameter of the 3 circles equally divide the diameter of the large circle into 3 equal parts.

This means Circle C diameter is 20.

Circumference is

[tex]\pi d[/tex]

The diameter is 20 so the circumference of Circle C is

[tex]20\pi[/tex]

Answer:

C

Step-by-step explanation:

hope it helps!!!!!!!!!!

If the area of a rectangular field is x2 – 3x + 4 units and the width is 2x – 3, then find the length of the rectangular field.

Answers

Answer:x²-3 x+4/ 2x-3 units

Step-by-step explanation:

Area = Length * Width sq. units

x^2 - 3x + 4 = Length * 2x - 3

=>Length = x^2- 3 x + 4/ 2 x − 3 units

Un avión puede volar con la velocidad de 400 km por hora en atmósfera tranquila si cuando se dirige hacia el este el viento viene del Sur con la velocidad de 40 km por hora cuál es la dirección de su vuelo

Answers

Answer:

84,3 ° Sureste

Step-by-step explanation:

El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.

La dirección del avión es la dirección de la velocidad resultante.

Si esta dirección es θ

θ = tan ^ -1 (400/40)

θ = 84,3 ° Sureste

Which rules define the function graphed below? (15 points cuz I'm stumped)

y=2x+3; y=-1/3x+3
y=2x; y=-1/3x
y=3x+2; y=3x-1
y=-3x+3; y=x+3

Answers

Answer:  Choice A

y=2x+3; y=-1/3x+3

==================================================

Explanation:

The left portion of the blue curve is y = 2x+3 but it is only graphed when x < 0 (we could argue that [tex]x \le 0[/tex] but I'll set that aside for the other portion).

The right portion is the line y = -1/3x + 3 and it's only graphed when [tex]x \ge 0[/tex]

So we could have this piecewise function

[tex]f(x) = \begin{cases}2x+3 \ \text{ if } x < 0\\-\frac{1}{3}x+3 \ \text{ if } x \ge 0\\\end{cases}[/tex]

Or we could easily swap the "or equal to" portion to move to the first part instead like this

[tex]f(x) = \begin{cases}2x+3 \ \text{ if } x \le 0\\-\frac{1}{3}x+3 \ \text{ if } x > 0\\\end{cases}[/tex]

Either way, we're involving the equations mentioned in choice A

The number of days ahead travelers purchase their airline tickets can be modeled by an exponential distribution with the average amount of time equal to 15 days. Find the probability that a traveler will purchase a ticket fewer than ten days in advance. How many days do half of all travelers wait

Answers

Answer:

The right answer is:

(a) 0.4866

(b) 10.3972

Step-by-step explanation:

Let X be the number of days,

X is [tex]exp(\lambda)[/tex],

⇒ [tex]\lambda =\frac{1}{15}[/tex]

now,

⇒ [tex]F_x(x) = P(X \leq x)[/tex]

              [tex]=1-e^{-\lambda x}[/tex]

              [tex]=1-e^{-\frac{x}{15} }[/tex]

or,

[tex]x>0[/tex]

(a)

⇒ [tex]P(X<10)=F_x(10)[/tex]

                      [tex]=1-e^{\frac{10}{15} }[/tex]

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

                      [tex]=0.4866[/tex]

(b)

If the medium be m, then

[tex]P(X=m) = \frac{1}{2}[/tex]

                 [tex]=2^{-1}[/tex]

⇒[tex]1-e^{-\frac{m}{15} } = \frac{1}{2}[/tex]

        [tex]e^{-\frac{m}{15} } = 2^{-1}[/tex]

             [tex]m= 15\ ln2[/tex]

                 [tex]=10.3972[/tex]  


Find the length of the third side. If necessary, write in simplest radical form

Answers

Answer:

5

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 10^2 = (5 sqrt(5))^2

a^2 +100 = 25(5)

a^2 +100 = 125

a^2 = 125-100

a^2 = 25

Taking the square root of each side

sqrt(a^2) = sqrt(25)

a = 5

Someone please help me out!!!! Its a picture marking brainliest

Answers

Answer:

75.875m^2

Step-by-step explanation:

12-4=8

8x4=32

12x4=48

1/2(1.5+4)1.5=4.125

32+48-4.125=75.875

The picture attached

Answers

Answer:

Step-by-step explanation:

m1 = 300

m2= 300(1+.05) = 300(1.05)

m3 = 300(1.05)(1.05)

m4= 300(1.05)(1.05)(1.05)

each subsequent month is the previous month times "1 + .05"

the "one" preserving the running total, and the extra ".05" adding the 5%

the repeating (1.05)(1.05)(1.05) is notational simplified using exponents

(1.05)(1.05)(1.05) = [tex](1.05)^{3}[/tex]

Solve the equation for all values of x.
(22 – 16)(2x2 + 49) = 0
Help please

Answers

Answer:

7i/sqrt(2)

Step-by-step explanation:

so, if I understand correctly, the equation is

(22-16)(2x² + 49) = 0

6(2x² + 49) = 0

that automatically means

2x² + 49 = 0

2x² = -49

x² = -49/2

x = sqrt(-49/2)

a square root of a negative number has no real solution. the solution is in the world of complex and imaginary numbers, which bases on the sqrt(-1) = i.

so, we get

x = sqrt(49/2 × -1) = (7/sqrt(2)) × I = 7i/sqrt(2)

Which of the following expressions are equivalent

Answers

Answer:

A and B

Step-by-step explanation:

A and B are the correct options

The seating capacity at a movie theater is 400. For a Monday
afternoon movie, 68% of the seats are filled. About how many
seats are empty?
-.- sorta need this answer quickly, thanks

Answers

seating capacity is 400 for a monday.

afternoon: 68% of the seats are filled

68% of 400: 272 seats left




what is the equation of the line that passes through the points (-10,-3) and (0,6)?

Answers

Answer:

9x-10y+60=0

Step-by-step explanation:

slope is,

m = (6-(-3))/(0-(-10))

= 9/10

b = -3-(9/10)×(-10)

= 6

So, the equation of the line is,

y = 9x/10+6

or, 9x-10y+60=0

Answered by GAUTHMATH

Can you help me please please correct my

Answers

Answer:

a = m/c

~~~~~~~~~~~~~~~~~~~~~~~

m=ca

divide both sides by c

you get a = m/c

Step-by-step explanation:

Answer:

a = m/c

Step-by-step explanation:

m = ca

divide both sides by c

m/c = ca/c

m/c = a

:.a = m/c

số nào sau đây là nghiệm của đa thức x^2-2x+1

Answers

[tex]x^{2}[/tex]-2x+1=0

[tex](x-1)^{2}[/tex]=0

x-1=0

x=1

Find the distance between the two points.
(-5,1)
(0,0)
[?]
Enter the number that
goes beneath the
radical symbol.

Answers

Answer:

[tex]{26}[/tex]

Step-by-step explanation:

[tex] \sqrt{(0 - ( - 5) ){}^{2} + (0 - 1) {}^{2} } [/tex]

[tex] = \sqrt{ {(5)}^{2} + {( - 1)}^{2} } [/tex]

[tex] = \sqrt{25 + 1} [/tex]

[tex] = \sqrt{26} [/tex]

Answered by GAUTHMATH

Answer:

26

Step-by-step explanation:

(-5, 1) (0, 0)

sqrt(5^2 + (-1^2))

sqrt(25 + 1)

sqrt(26)

So, 26 goes under the radical.

look at image above question and answers​

Answers

Answer:

Step-by-step explanation:

Let's try all of them one by one.

Our equation is 4x + 2y + 3 = 19.

A:

20 + 6 + 3 = 19

Not quite!

B:

16 + 10 + 3 = 19

Still not it!

C:

12 + 4 + 3 = 19

We got it!

But still, we check D.

8 + 10 + 3 = 21

Nope.

C (or the 3rd option) is our answer.

I hope this helped.

What is the slope of the line given by the equation y=-7X? O A 7 OB. 7 O c. -7 O D. 7​

Answers

Answer:

C. -7

Step-by-step explanation:

See the picture for steps :)

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