Mathematics College

Select the correct answer.
Which function is the inverse of f(x) = -x^3 - 9?

Select The Correct Answer.Which Function Is The Inverse Of F(x) = -x^3 - 9?

Answers

Answer 1

Answer:

(2)

Step-by-step explanation:

Let f(x) = y → f-¹(x) = f(y) = x, f(y) is the inverse of f(x)

Thus,

=> -x³ - 9 = y

=> - y - 9 = x³

=> (-y - 9)^(1/3) = x

=> f(y) = x

Inverse is (-y-9)^(1/3)

Replacing the variable, inverse is (-x-9)^(1/3)

Option (2)

Related Questions

Paul owns a gym and needs to replace the carpeting on the floor. The gym's floor plan is shown.

8 yd

3 yd

4 yd

المة

How many square yards of carpeting is needed to cover the entire gym?

O 18 square yards

O 24 square yards

O 36 square yards

44 square yards

Answers

Answer:

24 square yards

Step-by-step explanation:

Find the diagram attached.

The area of the diagram = Area of rectangle + Area of triangle

Area of rectangle = 3 * 4

Area of rectangle = 12 square yards

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 6 * 4

Area of triangle = 12 square yards

Area of the diagram = 12 + 12

Area of diagram =  24 square yards

Hence 24 square yards of carpeting is needed

If you were to randomly pick a ball from the pile below what is probably that the ball picked is a yellow ball

Answers

Answer:

1/4

Step-by-step explanation:

The top of a ladder slides down a vertical wall at a rate of 2 feet per second. At the moment when the bottom of the ladder is 4 feet from the wall, it slides away from the wall at a rate of 3 feet per second. How long is the ladder

Answers

Answer:

The length of the ladder is 7.21 feet

Step-by-step explanation:

Let

y = Height of the wall

x = Distance between the wall and the ladder (bottom)

L = Length of the ladder

So, the given parameters are:

[tex]\frac{dy}{dt} = -2ft/s[/tex]

When [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]

The ladder, the wall and the ground forms a right-angled triangle where the hypotenuse is the length of the ladder; So:

[tex]L^2 = x^2 + y^2[/tex]

Differentiate with respect to time

[tex]2L\frac{dL}{dt} = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]

The length of the ladder does not change with time. So:

[tex]2L*0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]

[tex]0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]

Rewrite as:

[tex]2x\frac{dx}{dt} =- 2y\frac{dy}{dt}[/tex]

Divide both sides by 2

[tex]x\frac{dx}{dt} =- y\frac{dy}{dt}[/tex]

Recall that:

[tex]\frac{dy}{dt} = -2ft/s[/tex] and  [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]

So:

[tex]4 * 3 = -y * -2[/tex]

[tex]12 = 2y[/tex]

[tex]6 = y[/tex]

[tex]y = 6[/tex]

Substitute [tex]y = 6[/tex] and [tex]x =4[/tex] in: [tex]L^2 = x^2 + y^2[/tex]

[tex]L^2 =4^2 + 6^2[/tex]

[tex]L^2 =52[/tex]

[tex]L = \sqrt{52[/tex]

[tex]L = 7.21ft[/tex]

Old Navy charges $30 for 4 t-shirts and $45 two pairs of pants. If Unique’s mom orders 9 t-shirts and 6 pairs of pants, how much will Unique’s mom spend?

Answers

divide the 30 from the 4 and you will get 7.5 and then divide the 45 from the 2 and you will get 22.5 and then times 7.5 by 9 and then you will get 67.5 and then do the same with the 22.5 with the 6 and then add them up and you will get 202.5

What is the solution to the system of equations
Y=x+6
Y= -0.5x+3

Answers

Answer:

[tex]y = 4 \\ x = - 2[/tex]

What TWO steps do you take to solve the following equation: 5x - 3 = 12

Answers

Answer:

First add 3 to each side

Then divide each side by 5

Step-by-step explanation:

5x - 3 = 12

First add 3 to each side

5x-3+3 = 12+3

5x = 15

Then divide each side by 5

5x/5 = 15/5

x = 3

Answer:

3

Step-by-step explanation:

5x = 12 + 3

x = 15/5

x = 3

What is the equation of the line shown written in slope-intercept form?

Answers

Answer:

Y = 2

Step-by-step explanation:

find the value of x ​

Answers

Answer:

x=6,1,5 is your answer look it once

PLEASE HELP D:

Which of the following possibilities will form a triangle?

A - Side = 16 cm, side = 8 cm, side = 7 cm

B - Side = 16 cm, side = 9 cm, side = 7 cm

C - Side = 17 cm, side = 12 cm, side = 7 cm

D - Side = 17 cm, side = 11 cm, side = 5 cm

Answers

Answer:

Step-by-step explanation: Three line segments can form a triangle, if the sum of any two lengths is greater than the third length. In A), 8 + 7 = 15 < 16. So, A cannot form a triangle.

Step-by-step explanation:

you have to study

Answer:

A,B and D form a triangle

Step-by-step explanation:

A - Side = 16 cm, side = 8 cm, side = 7 cm

16>8+7=15 form a triangle

B.- Side = 16 cm, side = 9 cm, side = 7 cm

16>9+7=16 form a triangle

C - Side = 17 cm, side = 12 cm, side = 7 cm

18>12+7=19 not form a triangle

D - Side = 17 cm, side = 11 cm, side = 5 cm

17>11+5=16 form traingle

4) An arithmetic sequence has a 7th term of 54 and a 13th term of 94. Find the common difference

Please answer!!

Answers

Answer:

20/3

Step-by-step explanation:

Every nth term takes the form of  a + n*d, where a is the first  term.

So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).

equate them both:

94 - 13d = 54 - 7d

40 = 6d

d = 40/6

PLS HELP ME!!! i’ll give you a brainliest answer :)

Answers

Answer:

B is the correct answer

Becky wants to eat 1/4 of a small pumpkin pie. which if the following statements are correct? select all that apply

a) If she cuts the pie into 8 pieces of the same size, she should eat 2 pieces

b) If she cuts the pie into 10 pieces of the same size, she would eat 4 pieces

c) If she cuts the pie into 12 pieces of the same size, she should eat 3 pieces

Answers

I think the correct answer is C

What is the area of the triangle at the right?

Answers

Answer:

13.16

Step-by-step explanation:

formula= (absin∅)/2

= (4×9×sin47)/2

= 13.16

The following expression represents the profit made by John as he mows
lawns: P = 20L - 100
Which description correctly interprets each part of the expression?

Answers

Answer:

P is price per lawn, 20 is the money made per lawn, L is the number of lawns mowed, 100 is his initial cost.

Step-by-step explanation:

8+8+8=24 as multiplecation sentence

Answers

Answer

Hola la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

Find the volume of the given solid. Bounded by the cylinder y2 + z2 = 16 and the planes x = 2y, x = 0, z = 0 in the first octant

Answers

Answer:

[tex]\mathbf{ \dfrac{128}{3}}[/tex]

Step-by-step explanation:

Given that:

[tex]y^2 + z^2 = 16; \\ \\ where; \ x = 2y , x =0, z= 0[/tex]

[tex]Replace \ z = 0 \ \text{in the given equation ;} y^2+z^2=16[/tex]

[tex]Then;[/tex]

[tex]y^2 = 16 \\ \\ y = \sqrt{16} \\ \\ y = \pm 4[/tex]

[tex]\text{So; in 1st octant \ limits of y }= 0 \to 4 \ \text{and for x }= 0 \to 2y[/tex]

∴

[tex]\text{Volume of solid: (V) = }\int ^{4}_{y=0} \int ^{2y}_{x=0} \sqrt{16-y^2} \ dxdy \\ \\ = \int^4_{y=0} \sqrt{16 -y^2} \ (x)^{2y} _o \ dy \\ \\ = \int^4_{y=0}\sqrt{16 -y^2} (2y -0) \ dy \\ \\ V = \int^{4}_{y=0} \ 2y \sqrt{16 - y^2} \ dy[/tex]

[tex]Now, let:\\\\ 16 - y^2 = u \\ \\ -2ydy = du \\ \\ 2ydy = -du \\ \\ Hence, when \ y = 0; u = 16 \\ \\ and \\ \\ when \ y = 4 \ then \ u = 0[/tex]

∴

[tex]V = \int ^4 _{y=0} \ 2y \sqrt{16 -y^2 } \ dy \\ \\ = \int ^0_{16} - \sqrt{u}\ du \\ \\ = - \int^0_{16} \ u^{^{\dfrac{1}{2}}} \ du \\ \\ = \Bigg [\dfrac{u^{^{\dfrac{1}{2}+1}}}{\dfrac{1}{2}+1 } \Bigg]^0_{16} \\ \\ =\Bigg[ -\dfrac{u^{\dfrac{3}{2}}}{\dfrac{3}{2}}^0_{16} \Bigg] \\ \\[/tex]

[tex]= - \dfrac{2}{3}\Big( u^{\dfrac{3}{2}}\Big)^0_{16} \\ \\ = - \dfrac{2}{3} \Big(0^{^\dfrac{3}{2}}}- 16^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(0 - (4^2)^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(-(4)^{3}}\Big )[/tex]

[tex]= - \dfrac{2}{3} \Big(64\Big )[/tex]

∴

[tex]\mathbf{V = \dfrac{128}{3}}[/tex]

If one-fourth of 2^30 is equal to 2^x, what is x?

Answers

Answer:

28

Step-by-step explanation:

1/4 can be rewritten as  1 / (2^2)

or 2^-2.

using the 2nd form,

we have 2^-2 * 2^30 = 2^x

By exponent rule

2^28 = 2^x

So we can observe now that x = 28

Answer:

23

Step-by-step explanation:

Please help I will give brainliest

Answers

Answer:

The third option 56

Step-by-step explanation:

56 is the middle number but I'm sorry if I'm wrong

Solve For X? I been stuck on this question..​

Answers

Answer:

Step-by-step explanation:

Information collected from runner 3# is in the table below

The constant proportionality for runner 3 is..?

Answers

Answer:

the constant of proportionality would be 9

What is the name given to a five-sided polygon that has congruent sides? A. hexagon B. regular hexagon C. pentagon D. regular pentagon

Answers

Answer:

C

Step-by-step explanation:

Pentagon

Hope this helps (:

Answer

C). pentagon is the correct answer.

Step-by-step explanation:

A pentagon has 5 congruent sides and 5 angles.

Mr.Chamberlain is planning a field trip for his math classes to visit a museum.It costs $300 to rent the bus, then $7.50 per student for entry to the museum Mr. Chamberlain only has a budget of $1,000 from the school. Which equality below represents the number of students he can bring on the trip?

Answers

Answer:

Equation - $1000=$300+$7.50x

Answer - Mr. Chamberlain can included 93 Student Entries

Step-by-step explanation:

$1000 (budget)

$300 (cost to rent bus)

$7.50 (cost of each student entry)

$1000-$300= $700

Now we have found out that Mr. Chamberlain has $700 left to spend on student entries.

$700/$7.50 = 93.333

Round 93.333 down to 93 because you can't have 1/3 of a student (obviously)

93 = the max number of student entries that Mr. Chamberlain can have for the museum field trip

I hope this helps :)

taka is playing a game of darts. she scores 52 points. in the game she is playing, she gets a -3 score each time she misses the board. her final point total is 37. write and solve an equation to find out how many times she missed the board

Answers

Answer:

5

Step-by-step explanation:

52-37 is 15 . divide by 3 and u get five

If the critic rates a total of 100 movies, what is the best prediction for the number of movies she gives exactly 3 stars?
А
27
B
47
50
D
35

Answers

Answer:

I think its gonna be 35 I'm not sure

Memorial Day Spending The National Retail Federation conducted a national randomly-selected survey of 8,526 consumers on September 1-9, 2009 asking households how much they plan to spend on Memorial Day. I would like to know if the average amount households planned to spend on Memorial Day is less than $57. What are the observational units

Answers

Answer:

households

Step-by-step explanation:

An observational units are defined as the entity for which the information is received and the statistics are compiled of in the process of collecting the statistical data. It is also known as the statistical unit.

In the context, National Retail Federation is conducting a survey asking various households how much they are planning to spend on the memorial day. So the observational units in this study are the household because the information are collected on the basis of each household going to spend on the Memorial day.  

The observational units in this will be households.

What will be the observational unit?

An observational unit is defined as the entity for which the data is received and the statistics are collected in the process of collecting the statistical data. It is also known as the statistical unit.

In this context, National Retail Federation is executing a survey asking various households how much they are planning to spend on memorial day.

So the observational units in this study are the household because the information is gathered on the basis of each household going to expend on Memorial day.  

Thus the observational units in this will be households.

To know more about Observation follow

https://brainly.com/question/25843544

how many different ways can you find for 7 coins totaling 95 cents?​

Answers

Answer:

one way

Step-by-step explanation:

2 quarters

4 dimes

1 nickel

Zander found these coins in his Couch

Answers

Answer:

91 cents

Step-by-step explanation:

3 quarters+3 nickel+1 penny=91 cents

Answer:

91 cents

Step-by-step explanation:

3 quarters=75c

3 nickels=15c

1 penny=1c

75c+15c+1c=91 cents

The local park has a circular pond with a radius of 9 feet. What is the pond's circumference?

Answers

Answer:

Using 3.14 as pi, the answer would be 56.52, and using just pi (as in the input on a calculator) would be 56.54867.

Step-by-step explanation:

The equation for circumference of a circle is C = πd, C representing the circumference and d representing the diameter. Since the equation shows the radius, the equation can also be C = 2πr, since the radius is half of the diameter. Multiply nine by two to get eighteen. 18 times 3.14 = 56.52.

Which line has the same slope as the line passing through (-4, -1) and (-1, -7) ?

Answers

Answer:

D

Step-by-step explanation:

Answer:

athe correct answer of this question is 6x + 3y = 5

explain the answer to 481.5÷45

Answers

Its simple this is your answer
10.7

Answer:

10.7

Step-by-step explanation:

10.7

    - 45

         31

        -00

         315

        -315

          00

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