Which function is the inverse of f(x) = (x − 3)3 + 2?

Answers

Answer 1

Answer: f = 3x -7 /  x

Step-by-step explanation:

fx=(x−3)(3)+2

Step 1: Divide both sides by x.

fx/x =  3x -7 / x

f = 3x  -7  / x

Answer: f = 3x -7 /  x


Related Questions

Can someone please solve this (and if you do please explain how and why you solved it that way)

Answers

Answer:

502.4 yd^2 for the first one

Step-by-step explanation:

For the first one, because the formula to find the lateral surface value is L.S.A = 2πrh, we can then plug in the values to get this:

2(3.14)(2)(40) = 502.4 yd ^2

If yz bisects the angle AYX, then ∆YXZ= ∆YAZ.
A). True
B). False​

Answers

False

Answer:

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

i just did the quiz so trust

i need help with this question

Answers

Answer:

70

Step-by-step explanation:

Since UT = VW, 5x + 5 = 4x + 20

x = 15

UV = 6x - 20 = 6(15) - 20 = 70

Select all that apply.

What types of triangles have at least two acute angles?

obtuse
isosceles
equilateral
right

Answers

The answer is a Right triangle

PLEASE HELP URGENT!!! Cannot figure this out, due tonight.

Answers

Answer:

38, 5

Step-by-step explanation:

f(8) = 38

f(x) = 2, x = 5

Factor the expression using the GCF.
12y - 8

Answers

do u need step by step or do u just need the answer cuz the answer is 4(3y-2)

HI PLEASE HELP ME QUICK I DON'T UNDERSTAND THIS

Here is a set of signed numbers: 7, -3, 1/2, -.8, .8, 1/10, -2
1) If their numbers represent temperatures in degrees Celsius, which is the coldest?

Answers

Answer:

-3 would probably be the coldest

Step-by-step explanation:

based on my research the higher the number in celsius the hotter it is. the lower the number the colder it is. and since -8 is the lowest it is the coldest temperature.

also may i ask what you dont understand? i can help you

edit

so the choices are

7 , -3 , 1/2 , -0.8 , 0.8 , 1/10 , - 2

we can ignore the choices without the negative signs so..

-3, -0.8, and - 2

is what we have left

-0.8 would not be the coldest because it is not the lowest value

-2 would not be the coldest because it is not the lowest value

-3 is the coldest because it is the lowest value.

You may think that -3 should be the highest since it has "3", but in negative its different. -1 would be greater than -5 because it is closer to 0


The graph of the relationship between the side length of a square and its area is an
example of a quadratic function. A quadratic function is a function written in the form
Y=ax squared+ bx + C, where a, b, and c are any numbers, and a is not equal to zero.
What are the values for a, b, and c in this equation? How does your equation fit the
definition of a quadratic function?

Answers

Step-by-step explanation:

In the formula l2 = h2 +r2, l=25 and r=7, then the value of h is

Fill in the missing number - + 38=100

rewrite the expression in the form k*x^n : (12square root of x)/4x^3

Answers

Answer:

could you repost the same question so i can understand it better ?

Step-by-step explanation:

<3

what is 14 by 30 in its simplest form?

Answers

Answer: 7/15

Step-by-step explanation:

14 divide by 2 is 7

30 divide by 2 is 15

Roslyn is an engineer. She is designing a part for a new engine. The length of the part is 16 centimeters (cm), the width is 6 cm, and the height of the cone top is 5 cm, as shown.

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Given :-

The length of the part is 16 centimeters The part of new engine is composed of 1 cone, 1 cylinder and 1 hemisphere The width of the engine is 6 cmThe height of the cone is 5 cm

To Find :-

We have to find the total volume of the part

Let's Begin :-

Let divide the part of engine into three parts as it is composed of 3 different figures.

We know that,

Volume of cone

[tex]\bold{=}{\bold{\dfrac{ 1}{3}}}{\bold{{\pi}r^{2}h}}[/tex]

Here, we have,

The height of the cone is 5 cmThe diameter of the cone is 6 cmTherefore, Radius of the cone = 3 cm

Subsitute the required values,

Volume of the first part that is cone

[tex]\sf{=}{\sf{\dfrac{ 1}{3}}}{\sf{ {\times}3.14{\times}(3)^{2}{\times}5}}[/tex]

[tex]\sf{=}{\sf{\dfrac{ 1}{3}}}{\sf{ {\times}3.14{\times}9{\times}5}}[/tex]

[tex]\sf{ = 3.14 {\times} 3 {\times} 5 }[/tex]

[tex]\sf{ = 3.14 {\times} 15 }[/tex]

[tex]\sf{ = 3.14 {\times} 15 }[/tex]

[tex]\bold{ = 47.1 cm^{3} }[/tex]

Thus, The volume of cone is 47.1 cm³ .

For second part

Second part is composed of cylinder

We know that,

The volume of cylinder

[tex]\bold{ = {\pi}r^{2}h }[/tex]

Here,

The diameter of the cylinder is 6 cmSo, Radius = 3 cmThe length of the cylinder = 16 - (Length of cone + Length of hemisphere) Length = 16 - 11 = 5 cm

Subsitute the required values in the above formula,

Volume of the second part that is cylinder

[tex]\sf{ = 3.14{\times} (3)^{2}{\times} 5}[/tex]

[tex]\sf{ = 3.14{\times} 9 {\times} 5}[/tex]

[tex]\sf{ = 3.14{\times} 45 }[/tex]

[tex]\bold{ = 141.3 cm^{3}}[/tex]

Thus, The volume of the cylinder is 141.3 cm³

For third part

Third part is composed of hemisphere

We know that,

Volume of hemisphere

[tex]\bold{=}{\bold{\dfrac{ 2}{3}}}{\sf{ {\pi}r}}[/tex]

Here,

The diameter of the hemisphere is 6 cmSo, Radius = 3cm

Subsitute the required values,

Volume of third part that is hemisphere

[tex]\sf{=}{\sf{\dfrac{ 2}{3}}}{\sf{{\times} 3.14 {\times}3}}[/tex]

[tex]\sf{ = 2 {\times} 3.14 }[/tex]

[tex]\bold{ = 6.28 cm^{3} }[/tex]

Thus, The volume of the hemisphere is 6.28 cm³

Therefore,

The total volume of the part

= Volume of cone + Volume of cylinder + Volume of hemisphere

[tex]\sf{ = 47.1 + 141.3 + 6.28 }[/tex]

[tex]\sf{ = 188.4 + 6.28 }[/tex]

[tex]\sf{ = 194.68 cm^{3} }[/tex]

[tex]\bold{ = 194.7 cm^{3} }[/tex]

Hence, The total volume of the part is 194.7 cm³ .

Evaluate :

[11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2

Answers

Answer:

4406/117

Step-by-step explanation:

Order of operations PEMDAS

Parentheses:

  [11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2

= [11 - 20 ÷ 39 ÷ 3 + 8] x 2

Multiply or divide:

⇒ [11 - 20 ÷ 39 ÷ 3 + 8] x 2

= [11 - 20/117 + 8] x 2

Parentheses:

⇒ [11 - 20/117 + 8] x 2

= 2203/117 x 2

Multiply or divide:

⇒ 2203/117 x 2

= 4406/117

Solution:

Evaluating the expression using BODMAS:

                Work                                                                                                

Step-1: [11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2

Step-2: ⇒ [11 - 20 ÷ 39 ÷ 3 + 8] x 2                       [Bracket subtraction]

Step-3: ⇒ [11 - 20/39 ÷ 3 + 8] x 2                              [Bracket division]

Step-4: ⇒ [11 - 20/39 x 1/3 + 8] x 2                                        

Step-5: ⇒ [11 - 20/117 + 8] x 2                               [Bracket multiplication]

Step-6: ⇒ [19 - 20/117] x 2                                         [Bracket addition]

Step-7: ⇒ [2223/117 - 20/117] x 2                

Step-8: ⇒ [2203/117] x 2                                        [Bracket subtraction]

Step-9: ⇒ 2203/117 x 2                                    

Step-104406/117 (Final Answer)                           [Multiplication]

The total number of blocks y is the cube of figure number x

Answers

Answer:

4;64

5;125

Step-by-step explanation:

Find the cube of the number

E.g. (5x5)x5

=25x5

=125

Answer:

Option C

Step-by-step explanation:

The total number of blocks y is three raised to the figure number x.

y = x³

32% of a lottery amount is given as first prize at 28% as a second price is the first price is 32580 naira how much is the second prize worth​

Answers

Answer:

The second prize is worth $15325.632

Step-by-step explanation:

32580 + 68% = 54734.4 then 54734.4 minus 72% = 15325.632.

Are you sure that's the right question?

Check whether the given value of is a solution to the equation. Justify your answer.

Answers

Answer:   Yes, because it is how to do it.

Step-by-step explanation:

help me please i need it rn
TRANSLATE EACH PROBLEM INTO MATHEMATICAL EQUATION THEN SOLVE WITH SOLUTION
[tex] \rm \: this \: month, \: Mikasa \: earned \: only \rm \frac{-3}{4} \:of \: his \: earning \: last \: month\: if \: his \: earning \: last \: month \: is \: 12,600 \: how \: much \: did \: he \: earn \: this \: month [/tex]​

Answers

Answer:

9450

Step-by-step explanation:

3/4(12600)=X

12600*.75

9450

three fourths of last month's is three forths of 12600 therefore giving you the equation 3/4(12600)=x

Sara can bake 12 cookies with 2 scoops of flour.
If she wants to make 36 cookies, what equation
should she use to help her find out how many scoops
of flour to use?

Answers

12x3=36 That is the equation

Three specialists can complete in 1 hour the job their 5 assistants usually do in 1 hour. Suppose eight specialists can complete a certain job in 9 hours. How many assistants can complete the same job in 10 hours?

Answers

Answer:

12 Assistants

Step-by-step explanation:

If 5 assistants can do same job as 3 specialists. You could say 1 specialist is equivalent to 5/3 Assistants.

So a job 8 specialists can complete in 9 hours. 8*5/3 Assistants can complete the same job in 9 hours.

40/3 Assistants - 9 hours - 1 job

X Assistants   -  10 hours - 1 job

Here if we give assistants more time, fewer assistants will be needed (inversely proportional). Here, the factor or ratio of increase in time from 9 to 10 is 10/9 or 9 * 10/9 = 10.

The number of assistants needed will be 40/3  divided by 10/9 which is

40/3 * 9/10 = 12.

The solution to 7x = 42 is x =

4

5

6

7

Answers

Answer:

6

Step-by-step explanation:

To find x, you have to divide 42 by 7. 42/7 equals 6, so x=6.

X= 6


An easier version of it is seven times tables. 7 times 6 = 42

If the integral from 2 to 3 of f of x, dx equals 5 and the integral from 3 to 10 of f of x, dx equals 12, then what is the value of integral from 10 to 10 of f of x, dx?

Answers

Answer:

[tex]\int\limits^{10}_{10} {f(x)} \, dx=0[/tex]

Step-by-step explanation:

Question

If [tex]\int\limits^3_2 {f(x)} \, dx=5[/tex] and [tex]\int\limits^{10}_3 {f(x)} \, dx=12[/tex], then what is the value of [tex]\int\limits^{10}_{10} {f(x)} \, dx[/tex]?

Answer and Explanation

Assuming you typed your question right, since the upper and lower bounds are the same, then there's no area underneath the curve of f(x), so [tex]\int\limits^{10}_{10} {f(x)} \, dx=0[/tex]

What is the perimeter of PQRS?
please try to explain if possible

Answers

Answer:

[tex]4 \sqrt{13} + 2 \sqrt{97} [/tex]

3(x-y) when x=4 and y=1

Answers

Answer:

8

Step-by-step explanation:

Plug in variables: 3(x-y)=3(4-1)

Distribute: (3*4)-(3*1)

Solve: 12-3=8

Use the substitution method to solve the system of equations.

5x+2y=1
Y=-x+2

Answers

Answer:

X = -1

Step-by-step explanation:

Rewrite equations:

y = -x + 2; 5x + 2y = 1

Step: Solve y = -x + 2y = 1 for y:

y = -x + 2

Step: Substitute -x + 2 for y in 5x +2y =1 :

5x +2y = 1

5x +2 (-x+2) =1

3x + 4 =1 (simplifiy both sides of the equation)

3x + 4 + - 4 = 1 + -4

(Add -4 to both sides)

3x = -3

3x/3 = -3/3 (Divide both sides by 3)

x = -1

Answer: I believe the (-1,3) is the answer!  (hope this helps!)

What is the product of 79 x 81 and explain.

Answers

Answer:

79x81 = 6399

Step-by-step explanation:

Determine if true:
3^3x4=108

Answers

Answer:

True

Step-by-step explanation:

3³ x 4

= 3 x 3 x 3 x 4

= 9 x 12

= 108

True

Answer:

True

Step-by-step explanation:

3^3=27

27x4=108

108=108

The equations match.

Hence, the equation is true.

Some people advise that in very cold weather, you should keep the gas tank in your car more than
half full. Lou's car had 5.1 gallons in the 12-gallon tank on the coldest day of the year. Lou filled the
tank with gas that cost $3.90 per gallon. How much did Lou spend on gas?

Answers

Answer:

The least amount he could spend to get his car above half full would be $3.90

Explanation:

Half of 12 is 6 therefore 6.1 is above half.

6.1 minus 5.1 is 1.

If gas is $3.90 per gallon then,

3.90

* 1

is 3.90

write a point slope equation for the line that goes through the point (2,-3) and has slope 4​

Answers

Step-by-step explanation:

As per given Information

Slope m = 4

That line goes through the point (2,-3)

Using Point Slope Form

y - y = m ( x - x)

where,

y₁ = -3

x₁ = 2

from the given information

On putting the value we obtain

↝ y-(-3) = 4 ( x - 2)

↝ y + 3 = 4x - 8

↝ y = 4x -8 - 3

↝ y = 4x - 11

So, the point slope equation for that line is y = 4x-11 .

y + 8.63 = 11.001

HELP! what does y equal to?!?

Answers

Answer:

2.371

Step-by-step explanation:

11.001 - 8.63 = 2.371

If the equation y=5(1.7)^x is plotted on a semi-log scale graph, then the linearized equation will be log(y)=mx+b, where m=_____?_____ and b=____?_____.

Answers

Answer:

m=1.7 and b=5

Step-by-step explanation:

5= the y intercept

1.7= the slope that's why it has x as its exponent. Because in mx+b the slope is the one that keeps being multiplied.

Sam must decide whether to take the train or drive his car
to work. The store where he works is 25 miles from his
house. Sam's car gets 19 miles to a gallon of gasoline. He
pays $1.20 per gallon of gasoline. A book of 34 round-trip
train tickets costs $175. Which method of transportation
will cost less per day? How much less per day?

Answers

Answer:

yes good job and a few years back to school in new York City to be the first time since I've seen this before

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