help please! thank ylu

Answer:

Option B. f¯¹(x) = ³√(– x – 9)

Step-by-step explanation:

From the question given above:

f(x) = – x³ – 9

f¯¹(x) =?

We can obtain the inverse f¯¹(x) of the above equation by doing the following:

f(x) = – x³ – 9

Replace f(x) with y

y = – x³ – 9

Interchange x and y

x = – y³ – 9

Make y the subject . This is illustrated below:

x = – y³ – 9

Rearrange

x + 9 = – y³

Multiply through by –1

–(x + 9) = y³

y³ = – x – 9

Take the cube root of both side

y = ³√(– x – 9)

Replace y with f¯¹(x)

f¯¹(x) = ³√(– x – 9)

Thus, the inverse of the function

f(x) = – x³ – 9

is

f¯¹(x) = ³√(– x – 9)

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The number of chocolate boxes is 6.

The number of ornament boxes is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 5 is an equation.

We have,

Number of chocolate boxes = C

Number of ornaments boxes = B

The total cost of 14 boxes = $156

Cost of one box of chocolate = $10

Cost of one box of ornaments = $!2

Now,

C + B = 14  ______(1)

10C + 12B = 156  _______(2)

From (1) we get,

C = 14 - B ______(3)

Putting (3) in (2) we get,

10 (14 - B) + 12B = 156

140 - 10B + 12B = 156

140 + 2B = 156

2B = 156 - 140

2B = 16

B = 16/2

B = 8

Now,

C = 14 - B

C = 14 - 8

C = 6

Thus,

The number of chocolate boxes is 6.

The number of ornament boxes is 8.

Learn more about equations here:

https://brainly.com/question/17194269

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Answer:

2[tex]\frac{1}{3}[/tex]inches

Step-by-step explanation:

First, I would try to get the mixed numbers into improper fractions. Then, I try to make them have the same denominator so it is easier.

1[tex]\frac{1}{2}[/tex]feet --- 2 inches

[tex]\frac{3}{2}[/tex]feet --- 2 inches

[tex]\frac{6}{4}[/tex]feet --- 2 inches

1[tex]\frac{3}{4}[/tex]feet --- ? inches

[tex]\frac{7}{4}[/tex]feet --- ? inches

[tex]\frac{7}{4}[/tex]feet --- [tex]\frac{7}{6}[/tex] × 2 inches

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

We are given:

The line passes through (2,-3)

Slope of the line = 4

Finding the equation of the line:

We know that the general form of the slope-intercept form is:

y = mx + b         [where m is the slope and b is the y-intercept]

y = 4x + b          [since slope = 4]

Finding the y-intercept:

Now, we are given that the line passes through the points: (2,-3)

which can be written as: x = 2 and y = -3

Since the line passes through these points, these values must satisfy the equation

So,

y = 4x + b

-3 = 2(4) + b

-3 = 8 + b

b = -11                [subtracting 8 from both sides]

Hence, the y-intercept is -11

Equation of the line:

We wrote the equation of the line as:

y = 4x + b          (where b is the y-intercept)

now that we know the value of b,

y = 4x - 11

Therefore, the equation of the line is: y = 4x - 11

Answer:

3 dollars

Step-by-step explanation:

6 / 2 = 3

Answer:

3$ per can

Step-by-step explanation:

6$ divided by 2 cans of soup equals $3 per can :)

Answer:

-2, 1, 3

Step-by-step explanation:

Answer:Feudalism helped protect communities from the violence and warfare that broke out after the fall of Rome and the collapse of strong central government in Western Europe. Feudalism secured Western Europe's society and kept out powerful invaders. Feudalism helped restore trade. Lords repaired bridges and roads.

Step-by-step explanation:

Answer:

To answer your question use the code ICE on here to get your answer works every time for me hope this helps

So a loss is negative it will be -18 on the number line.

UwU hope this helps

Answer:

PN = 10

Step-by-step explanation:

Base angles converse theorem states that a triangle with two congruent angles is isosceles. The sides opposite to the two congruent angles are the congruent sides. The side between the two congruent angles is the base.

In this problem, it is given that <P = <O, hence ΔNOP is isosceles, because of base angles theorem. OP is the base, and hence NO is one of the congruent sides and therefore has to be congruent to PN. Which means that PN is 10.

Answer: 1:55Pm

Step-by-step explanation:

Answer:

1:55 P.M

Step-by-step explanation:

You would add 50 and 50 together it 100 add 40 equal 140.2 hours and 20 mins. 11:35 P.M add 2 hours is 1:35 add 20 mins equal 1:55 P.M

9514 1404 393

Answer:

  see below

Step-by-step explanation:

We assume your functions are ...

  f(x) = x²

  g(x) = (x -4)² +12

_____

You need to be able to recognize that g(x) matches a pattern:

  g(x) = f(x-h) +k

where h = 4, and k = 12.

In this pattern, the value of h is the number of units the graph is translated to the right. The value of k is the number of units the graph is translated up.

So, g(x) is the same as the graph of f(x), but translated 4 units right and 12 units up.

Answer:

yes

Step-by-step explanation:

half of $798 is $399. $100 a week × 4 = $400. 400 is very close to 399, so yes it would be a food estimate. Hope this helps! :)

Answer:

use formula=1/2×sum of parallel sides ×height

Answer:

A=64ft^2

Step-by-step explanation:

hope this helps

take care

Answer: 5 calories = 1 cracker

Step-by-step explanation:

60:12 = 5:1

60 calories and 12 crackers = 5 calories and 1 cracker

Answer: sarah has 36 cookies but she has 5 friends. she doesnt know how much cookies go to her friends. Write a equation to solve the problem

Step-by-step explanation:

Answer:

x= -13/1,1

3x+5=8

-(3x+5)=8

x=1

x=-13/3

x=-13/3,1

Answer:

x and equal 1 or -13/3

Step-by-step explanation:

this is an absolute value equation so the equation can either equal 8 or -8. if you set up two equations that are 3x+5=8 and 3x+5 = -8 and just isolate the x, you get 1 and -13/3.

Answer:

The answer is: X

Step-by-step explanation:

-7x+8x = 1x

this means the answer is X

Answer:

y = 7x+2

Step-by-step explanation:

Answer: 1/20

Step-by-step explanation:

Answer:

20 in²

Step-by-step explanation:

Assuming that the width of the sign is x, then from the question, we're told that the length is 5 times it's width, so

b = x inches

l = 5x inches

Again, we're told that the perimeter of the sign is 24 inches, and we know already that the perimeter of a rectangle is given as

Perimeter = 2(l + b), substituting this, we have

24 = 2(5x + x)

24 = 10x + 2x

24 = 12x

x = 24 / 12

x = 2 inches.

Since x is the width of the rectangle, and it's 2 inches, we use it to find the length of the sign.

l = 5 * 2

l = 10 inches.

Then, we are asked to find the area of the sign. Area of a rectangle is given as

A = l * b, so if we substitute, we have

Area = 10 * 2

Area = 20 square inches

Answer:

49^1/2 =7

Step-by-step explanation:

log49(7)=1/2

in exponential form

49^1/2 =7

Answer:

y+x = 5

Step-by-step explanation:

Given the equation y = x + 14

Get the slope first

The slope m = 1

Since the required equation is perpendicular to the line, the required slope will be M = -1/1 = -1

Get the required equation using the equation y-y0 = m(x-x0)

(x0, y0) = (-3, 8)

y - 8 = -1(x-(-3))

y-8 = -(x+3)

y-8 = -x-3

y+x = -3+8

y+x = 5

Hence the required equation of the line is y+x = 5

Answer:

TRUE

Step-by-step explanation:

That is true, you get 1/cos(Θ) which is sec(Θ)

please give thanks and hit that heart button :)

Answer:

  d. The farmer can make a habitat that is 40 feet wide and 100 feet long.

Step-by-step explanation:

The attached graph shows the inequalities and the various answer choices. The existence of the doubly-shaded area shows that answer choice C is false.

The appropriate choice is ...

  d. The farmer can make a habitat that is 40 feet wide and 100 feet long.

Answer:

(62 + 15n) + (95 + 12n)

Get that hundo!

Answer:

x=60° or 300°

Step-by-step explanation:

2cosx=1

cosx=1/2

cosx=cos60°,cos(360-60)°

cosx=cos60,cos300

either,

cosx=cos60

x=60

or,

cosx=cos300

x=300

Answer:

14.8%

Step-by-step explanation:

Step 1: Given data

True value for the  heat of vaporization of water (ΔH°vap(T)): 540 cal/g

Experimental value for the  heat of vaporization of water (ΔH°vap(E)): 620 cal/g

Step 2: Calculate the experimental percent error

To determine the experimental percent error we will use the following expression.

%E = |ΔH°vap(T) - ΔH°vap(E)|/ΔH°vap(T) × 100%

%E = |540 cal/g - 620 cal/g|/540 cal/g × 100%

%E = 14.8%