Question 1 of 10
f (2) = y + 10. Find the inverse of f(x).
O A f-'(x) = (x + 10)
O B. f-1(x) = 73 + 10
O C. f-1(x) = (x – 10)3
O D. f-'(x) = x3 – 10

Question 1 Of 10f (2) = Y + 10. Find The Inverse Of F(x).O A F-'(x) = (x + 10)O B. F-1(x) = 73 + 10O

Answers

Answer 1

Option D

step by step explanation:

[tex] \sf f(x) = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{y + 10} \\ \sf y = {x}^{3} - 10 \\ \sf {f}^{ - 1} (x) = {x}^{3} - 10[/tex]

Answer 2

The inverse of the given function is represented as f' ( x ) = x³ - 10

What is Function Rule?

A function is a mathematical object that takes an input (or several inputs) and produces an output. The rule of a function describes how the input is transformed to produce the output. It can be written using mathematical notation, words, or a combination of both.

Functions are used in many areas of mathematics, science, engineering, and other fields to model relationships between variables, make predictions, and solve problems.

Given data ,

Let the function be represented as A

Now , the value of A is

Now , the function is depicted as f ( x ) = ∛( x + 10 )    

Simplifying results in

The function's inverse is obtained by swapping the x and y variables.

So ,

y = ∛( x + 10 )

x = ∛( y + 10 )

On solving for y , we get

y = x³ - 10

And , the inverse is f' ( x ) = x³ - 10

The function is therefore f' (x) = x³ - 10.

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Related Questions

For exercises 7-9 write expressions for the area of each rectangle in two different ways. Then find the area using each expressions.

Answers

Answer:

No Questions are shown here

Step-by-step explanation:

Just says "For exercises, 7-9 write expressions for the area of each rectangle in two different ways. Then find the area using each expression."

which number line and expression show how to find the distance from 2 to - 5?

Answers

Answer:

A is the answer.

Step-by-step explanation:

Look at the graph of graph A. It has given the correct distance between 2 and -5.

Hoped this helped.

Answer:

B.

Step-by-step explanation:

Name x1, x2, y1, and y2. Then, find the distance between the points.

Answers

Answer:

wwwwwwwwwwwwwwwwwwwwwwhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaatttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt what

An arrow is shot at an angle 32 degree from the horizontal. If it's height is increasing at 200 km/hr, how fast is the arrow itself going?

Answers

Check the picture below.

Bearing in mind that the angle is not changing all the wihle, namely is constant

[tex]tan(32^o)=\cfrac{y}{x}\implies x = \cfrac{y}{tan(32^o)}\implies x = \cfrac{1}{tan(32^o)}y \\\\\\ \stackrel{\textit{taking the derivative on bot sides}}{\cfrac{dx}{dt}=\cfrac{1}{tan(32^o)}\cfrac{dy}{dt}}\implies \cfrac{dx}{dt}=\cfrac{1}{tan(32^o)}200\implies \cfrac{dx}{dt}\approx 320.07~\frac{km}{hr}[/tex]

hi if you know 8th grd math pls help

Answers

Answer:

all correct except A.

Step-by-step explanation:

pls mark me brainly if u can

pls help!! please tell what the independent and dependent variables are, and a function that describes the situation. I will give brainly to whoever answers these!

Answers

Step-by-step explanation:

Part A:

Given the entry fee of $35, the additional hourly rate of $5, and the total cost of $60:

The independent variable in this given problem is the number of hours, while the dependent variable is the total cost.  

An easier way to understand these concepts is to realize that the total cost depends on the number of hours you spend at the Snow Play Ski Park. The total cost changes by $5 for every hour you spend at the park.

The $35 entry fee is the constant, or the y-intercept. It is the initial cost that you have to pay given the 0 number of hours spent at the park.

Part B:

The function that represents the given situation is:

C(x) = 5x + 35

In order to determine how long can you be at the Snow Play Ski Park, substitute $60 as C(x) into the function:

C(x) = 5x + 35

60 = 5x + 35

Subtract 35 from both sides:

60 - 35 = 5x + 35 - 35

25 = 5x

Divide both sides by 5 to solve for x:

[tex]\frac{25}{5} = \frac{5x}{5}[/tex]

x = 5

Therefore, if you have $60, then you can be at the Snow Play Ski Park for up to 5 hours.  

Note:

Please feel free to change the letter that represents the function to f ( x ) for Part B, if needed.

PLEASE ANSWER ASAP, WILL BRAINLIESS

Answers

Answer:

Step-by-step explanation Let g be the function defined by 8(x) = f*r(t) dt. (a) Find the average rate of change of g from x = -5 to x = 5. (b) Find the instantaneous rate of change ...

Original price of shorts $53.95 Discount 30% Tax 4.5 percent %

Answers

Answer:

$39.50 is the final payment.

Step-by-step explanation:

0.3 x 53.95 = 16.185

53.95 - 16.185

= 37.765

0.045 x 37.765 = 1.699425 + 37.765

= 39.464425 and round

Which figure is NEVER a parallelogram?
triangle
rectangle
rhombus
square

Answers

Triangle because parallelograms are 4 sides and triangles have 3 sides

Answer:

Triangle

Step-by-step explanation:

A parallelogram have four sides

help please
i will give the best one ​

Answers

The answer is A because if you graph g(x) then it wouldn’t be linear

what is the sum of 6/12 and 1/2

Answers

Answer:

1

Step-by-step explanation:

Simplify 6/12 down to 1/2

1/2 + 1/2 = 1

Subtract a4 + 4a²b2 – 2b^4 from –3a^4 + 5a²b2 + 2b^4 - Your answer should be a polynomial in standard form.​

Answers

Answer:

4a^4-4b^4-5a^2b^2

Step-by-step explanation:

find common variables and subtract/add

a^4+3a^4=4a^4

-2b^4-2b^4=-4b^4

0-5a^2b^2=-5a^2b^2

apply

4a^4-4b^4-5a^2b^2

Write the number below as a fraction in its simplest form
0.41 recurring

Answers

Answer:

41/100

Step-by-step explanation:

Any decimal to a fraction would have to have a extra digit than the numerator also it has to start with 1 and the rest having to be a certain amount of 0's, 0.41 as a fraction fraction would be 41/100

Hamad go to buy toys for his smaller brother and he have only 5 AED each toy 1 AED cost. how much toys he will buy?

Answers

Answer:

5 because its 1 aed so if he buys 5 toys it will be 5 aeds and bye!

Step-by-step explanation:

because its 1 aed so if he buys 5 toys it will be 5 aeds and bye!

Answer: 5 any one can solve it dude

a company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content. One of the two types of apple contains 10% real-juice content and the other contains 15% real juice content. how many bushels of each type of apple are needed?

Answers

Answer:

400 bushels of the 15%

600 bushels of the 10%

Step-by-step explanation:

x bushels of the 15%  plus the balance of 1000 bushels at 10% yield 1000 bushels at 12%

15x + 10(1000 - x) = 12(1000)

distribute

15x + 10000 - 10x = 12000

Combine like terms

5x = 2000

Divide both sides by 5

x = 400 bushels of the 15%

1000 - x = 600 bushels of the 10%

The number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content.

Let x be the bushels.

One of the two types of an apple contains 10% real-juice content and the other contains 15% real juice content.

The linear equation can be framed:

15x + 10(1000 - x) = 12(1000)

By using the distributive property:

15x + 10000 - 10x = 12000

5x = 2000  (combine like terms)

x = 400 bushels of the 15%

= 1000 - x

= 1000 - 400

= 600 bushels of the 10%

Thus, the number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.

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Solve the system of equations algebraically.

3x−6y=−15
−9x+12y=21

Answers

Answer:

(3x-9x)+12y-6y=21-15

-6x+6y=6.

I think that is the answer

Answer:

(3, 4)

Step-by-step explanation:

Solve the system by elimination.

Divide the second equation by 3 and add to fist equation:

3x - 6y - 9x/3 + 12y/3 = -15 + 21/33x - 3x - 6y + 4y = -15 + 7-2y = - 8y = -8/-2y = 4

Find the value of x:

3x - 6*4 = - 153x - 24 = - 153x = 24 - 153x = 9x = 3

Help Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

were is the qn?

Step-by-step explanation:

Two bike messengers, Jerry and Susan, ride in opposite directions. If Jerry rides at the rate of 20 km/h, at what rate must Susan ride if they are 150 kilometres apart in 5 hours? With chart

Answers

Answer:

10km/h

Step-by-step explanation:

speed = distance/time

s = 150/5

s = 30km/h

the total must be 30km/hr

less the 20km/hr that Jerry is going

is the speed Susan must go in the opposite direction

30 - 20 = 10

10km/h

Two air ducts together remove 525 cubic feet of air per minute. The larger duct removes 45 cubic feet of air less than twice the amount of air removed by the smaller duct. How many cubic feet of air per minute are removed by each duct?

Answers

Answer:

I don't know

Step-by-step explanation:

The smaller duct removes 190 cubic feet of air per minute and the larger duct removes 335 cubic feet of air per minute.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Let's assume that the smaller duct removes 'x' cubic feet of air per minute.

So, The larger duct removes (2x - 45) cubic feet of air per minute.

x + (2x - 45) = 525.

3x = 525 + 45.

3x = 570.

x = 190.

So, the smaller duct removes 190 cubic feet of air per minute and the larger duct removes (2(190) - 45) = 335 cubic feet of air per minute.

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What is the image of the point (1,-4) after a rotation of 180° counterclockwise
about the origin?

Answers

Answer:

  (-1, 4)

Step-by-step explanation:

Rotation 180° negates both coordinates:

  (x, y) ⇒ (-x, -y)

The direction (clockwise or counterclockwise) is irrelevant. It is the same as reflection across the center of rotation (the origin).

  (1, -4) ⇒ (-1, 4) . . . . after rotation 180°

Need help with this question ASAP tysm​

Answers

Step-by-step explanation:

sorry for my bad handwriting, hope it helps

Evaluate. 2 (14–32 +1) 1:3.-​

Answers

Answer:

432

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

QUICKLY!!!! A paper airplane was thrown from the top of a tall building.The height of the paper airplane above the ground can be found using the function `y=-1.5x+60` , where `x` is the time in seconds the airplane has been in the air.
Jayden made this table to figure out how high the plane was at different times.
0 | 60
10 | 45
20 | 30
30 | 15
40 | 0


How would the equation `y=-1.5x+60` change if the height at 0 seconds was 75?

Answers

Answer:

y = -1.5x + 75

Step-by-step explanation:

Well, the rate at which the plane falls doesn't change, so anything attached to the time variable remains constant.

In this case, the first part of the function (-1.5x) remains the same.

Since the height of the tall building was 60 and the value in the equation, we can see that the last value corresponds to the number of meters above ground.

Since the height has changed to 75, the last part of the equation (60) changes to 75, and the rest remains constant.

That gives us the following equation: y = -1.5x + 75

7. Given that 16 watermelons cost $48, which of these are equivalent ratios of number of watermelons to cost in dollars? Choose all that apply. A) 16:48 B) 3:1 © 1:3 D) 48:16 E) 3:9​

Answers

Answer:

c) 1:3

Step-by-step explanation:

Since 16 watermelons cost $48, the cost of 1 watermelon is 48 / 16 = $3.

Hence 1 : 3

A 44-foot long wire will be attached to the top of a
pole for support, and will be pulled tight and
anchored to the ground. If the wire makes a 13
degree angle with the ground, how tall is the pole?
Round your answer to the nearest hundredth of a
foot

Answers

Answer:

Step-by-step explanation:

h = 44sin13 = 9.89784... = 9.90 ft

True or False?

The graph of the exponential function f(x) = a*, a>0, a #1, has no x-intercept.

Answers

Answer:

sorry! unfortunately I don't know the answer

True!!

MAke me brainleist please
Hope it helps

maria has a share of 2/10 slice of cake what is the difficult form of the fraction

A. 0.02
B.0.2
C.0.002
D.0.20​

Answers

~fractions

= 2 ÷ 10

= B. 0,2 ✔️

the method is attached

~ nice to help you ^^

PLSSS HELP
tge question is in the picture​

Answers

-2 1/2 - (-1 3/4)

When subtracting a negative vile the equation becomes addition:

-2 1/2 + 1 3/4 = -3/4

Answer: -3/4

5 numbers have a mean of 4, a range of 6, mode of 2 and a median of 3. What could the numbers be? Is this the only answer?

Answers

Step-by-step explanation:

x1, x2, x3, x4, x5

(x1 + x2 + x3 + x4 + x5)/5 = 4

x5 - x1 = 6

x3 = 3

2 appears more often than any other number (at least twice), otherwise there would have been multiple modes.

x1 + x2 + x3 + x4 + x5 = 4×5 = 20

x3 = 3

x1 + x2 + 3 + x4 + x5 = 20

x1 + x2 + x4 + x5 = 17

x5 = x1 + 6

x1 + x2 + x4 + x1 + 6 = 17

2×x1 + x2 + x4 = 11

since we did not have the number 2 yet (and we made x5 the harvest number, which has to be larger than 2), and it has to appear at least twice.

so, two numbers out of x1, x2, x3 must be 2. not all three of them can be 2, because 2×2 + 2 + 2 = 8 and not 11 as the last equation demands.

we have therefore 2 different solutions, as either

x1 and x2, or x2 and x4 can be 2.

x1 and x4 is the same solution per the last equation as x1 and x2 (as the variables are interchangeable for the number assignment, only x1 is different, because it has an additional factor in the last equation).

solution 1 (x1 and x2 are 2) :

2×2 + 2 + x4 = 11

4 + 2 + x4 = 11

6 + x4 = 11

x4 = 5

so,

x1 = 2,

x2 = 2,

x3 = 3

x4 = 5

x5 = x1 + 6 = 2 + 6 = 8

solution 2 (x2 and x4 are 2) :

2×x1 + 2 + 2 = 11

2×x1 + 4 = 11

2×x1 = 7

x1 = 7/2

so,

x1 = 7/2

x2 = 2

x3 = 3

x4 = 2

x5 = x1 + 6 = 7/2 + 12/2 = 19/2

According to Belgium's 2018 Labor data: Number of employed= 1300, Number of unemployed = 300, Adult population =3,000. The unemployment rate of Belgium in 2018 was
a.10%
b.13%
c.18.75%
d.63.3%.

Answers

The answer is the letter C
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