The function f is given by
f(x) = 2x^3– 4
(a) Show that f^-1(50) = 3

Answers

Answer 1

Answer:

hope it helps you.....

and I m feeling bad for my handwriting

The Function F Is Given Byf(x) = 2x^3 4(a) Show That F^-1(50) = 3
Answer 2

The proof of the value of the inverse equation f^-1(50) = 3 is below

How to prove the value of the inverse equation

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x^3 - 4

To show that f^-1(50) = 3, we simply show that

f(3) = 50

substitute the known values in the above equation, so, we have the following representation

f(3) = 2 * 3^3 - 4

Evaluate

f(3) = 50

Hence, the proof of the value of the inverse equation is done


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Related Questions

5 peppers for $5.50 how much is each

Answers

Answer:

$1.10

Step-by-step explanation:

5.50 divided by 5, take a way the decimal in order to divide. 550/5=110

55 divided by 5 is 11 just add a zero

If A(2, 3) and B(-4, -6), find AB.--

Answers

[tex] \huge \bf༆ Answer ༄[/tex]

The distance between points can be solved using Distance formula (similar to Pythagoras theorem)

[tex] \boxed { \sf D = \sqrt{(x2 - x1) {}^{2} + {(y2 - y1) {}^{2} } }}[/tex]

Put the values : -

[tex] \sf D = \sqrt{ (2 - ( - 4)) {}^{2} + (3 - ( - 6)) {}^{2} } [/tex]

[tex] \sf \: D = \sqrt{ {(6)}^{2} + (9) {}^{2} } [/tex]

[tex] \sf D = \sqrt{36 + 81} [/tex]

[tex] \sf D = \sqrt{117} [/tex]

[tex] \sf D = 3 \sqrt{13} [/tex]

Distance between the points = 3√13 units

[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]

Answer:

If you are trying to find the line, simply use a graph.

Step-by-step explanation:

i need help on i ready what is the length of the breathing tube

Answers

Answer:

The average size of the tube for an adult male is 8.0, and an adult female is 7.0,

The typical depth of the endotracheal tube is 23 cm for men and 21 cm for women

Your above-ground pool has sprung a leak, and you do not have a way to fix it. At 12 noon, the water in the pool is 5 feet deep (in other words, the water level is 5 feet above the ground). You are not sure how quickly the pool level is falling, so you check again after 40 minutes and see that the height of the water level is now feet. You notice that there is a relationship between the time that has passed to the height of the water level in the pool.

Answers

Answer:

Step-by-step explanation:

.Learning Task 2: Get the quotient of each item up to the nearest ten thousandths place. Then, round the decimals to their nearest thousandths. Number 1 is done for you.

1.45÷8= 5.6250 -5.625------- example

4.93÷9 = _____ - ______

2. 77÷9 = _____ - ______

5.88 ÷7= _____ - ______

3.81÷7= _____ - ______

6.55÷8=_____ - ______​

sorry if the numbers is a bit confusing

Answers

The responses for the quotient given to the nearest thousandths are

presented in the order of the of the questions as follows;

[tex]Question \ 4) \ \displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}}[/tex]

[tex]Question \ 2) \ \displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}[/tex]

[tex]Question \ 5) \ \displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}[/tex]

[tex]Question \ 3) \ \displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}[/tex]

[tex]Question \ 6) \ \displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}[/tex]

Reasons:

4. The division is presented as follows;

[tex]\displaystyle \mathbf{\frac{93}{9}}= \frac{90 + 3}{9} = 10 + \frac{1}{3} = 10.\overline 3[/tex]

Given that we have;

[tex]\displaystyle \frac{1}{3} = 0.\frac{10}{3} =0.3 \frac{10}{3} = 0.3333[/tex]

Therefore;

[tex]\displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}[/tex]

2. The division is presented as follows;

[tex]\displaystyle \mathbf{\frac{77}{9}} = \frac{72 + 5}{9} = 8 + \frac{5}{9} = 8. \frac{50}{9} = 8.5\frac{50}{9} = 8.55\frac{50}{9} = 8.555\frac{50}{9} = 8.5555[/tex]

Therefore;

[tex]\displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}[/tex]

5. The division is presented as follows;

[tex]\displaystyle \mathbf{\frac{88}{7}} = \frac{85 + 3}{7} = 12 + \frac{3}{7} = 12. \frac{30}{7} = 12.4\frac{20}{7} = 12.42\frac{60}{7} = 12.428\frac{40}{7} = 12.4285\frac{5}{7}[/tex]

[tex]\displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}[/tex]

3. The division is presented as follows;

[tex]\displaystyle \mathbf{\frac{81}{7}} = \frac{77 + 4}{7} = 11 + \frac{4}{7} = 11. \frac{40}{7} = 11.5\frac{5}{7} = 11.57\frac{10}{7} = 11.571\frac{30}{7} = 11.5714\frac{20}{7}[/tex]

Therefore;

[tex]\displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}[/tex]

6. The division is presented as follows;

[tex]\displaystyle \mathbf{\frac{55}{8}} = \frac{48 + 7}{8} = 6 + \frac{7}{8} = 6. \frac{70}{8} = 6.8\frac{60}{8} = 6.87\frac{40}{8} = 6.875\frac{0}{8} =6.8750[/tex]

Therefore;

[tex]\displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}[/tex]

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Write the equation of the following parabolae in their canonical form and hence find their vertices, foci and directrix.
1.
[tex] {y}^{2} - 6y - 2x + 19 = 0[/tex]
2.
[tex] {x}^{2} + 4x + 4y + 16 = 0[/tex]

Answers

#1

Given:

y² - 6y - 2x + 19 = 0

This is a horizontal parabola.

Canonical form of horizontal parabola is:

4a(x - h) = (y - k)², where (h, k) is vertex

Focus is:

F(h + a, k)

Directrix is:

x = h - a

Convert the equation:

y² - 6y - 2x + 19 = 0y² - 6y  + 9 - 2x + 10 = 0(y - 3)² = 2x - 10(y - 3)² = 4(1/2)(x - 5)

We got:

h = 5, k = 3, a = 1/2

Focus is:

F(5 + 1/2, 3) = F(5.5, 3)

Directrix is:

x = 5 - 1/2 = 4.5#2

Given:

x² +4x + 4y + 16 = 0

This is a vertical parabola.

Canonical form of vertical parabola is:

4a(y - k) = (x - h)², where (h, k) is vertex

Focus is:

(h, k + a)

Directrix is:

y = k - a

Convert the equation:

x² + 4x + 4y + 16 = 0x² +4x + 4 + 4y + 12 = 0(x + 2)² = -4y - 12(x + 2)² = 4(-1) (y + 3)

We got:

h = - 2, k = -3, a = - 1

Focus is:

F(-2, -3 - 1) = F(-2, - 4)

Directrix is:

y = -3 - (-1) = - 2

Finding slope from tables and

Answers

Answer:

m=-5/2 b=2

Step-by-step explanation:

It goes over 2 times ever time it goes down 5 times. and when the y is 0 the x is 2

Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he added the tip?
$9.72
$21.87
$97.20
$218.70

Answers

Answer:

$97.20

Step-by-step explanation:

97.20 x 0.15 = 14.58

Multiply the total by 15 percent, giving you the $14.58 tip, proving it to be correct.

Em uma avaliação que vale até 5 pontos, João tirou 4,2 pontos. Quanto João teria tirado caso a prova valesse 10 pontos?

Answers

Answer:

8.4 pontos

Step-by-step explanation:

4.2/5

multiplique o numerador e o denominador por 2

8.4/10

plz help i give brainliest and points

Answers

Answer:

Step-by-step explanation:

To find this, lets make a equation.

We have the expression 8b - 27, lets set this equal to -11 and solve:

8b -27 = -11

Now lets solve.

Lets add 27 to both sides to get 8b alone:

8b = 16

Now lets divide by 8:

b = 2

So our answer is 2.

Hope this helps!

I believe it’s 2, I’m not completlyyyyyy sure

Lin's bike travels 100​ meters when her wheels rotate 55​ times. What is the circumference of her wheels? Round your answer to the nearest hundredth.

Thank You!!!

Answers

Answer:

Using formula to calculate the circumference of wheel:

 

where

D is the distance bike travel

n is the number of times rotation

C is the circumference of the wheel

As per the statement:

Lin’s bike travels 100 meters when her wheels rotate 55 times.

here, n = 55 rotation and D = 100 meter.

then by definition:

meter

Therefore, the circumference of her wheel is, 1 9/11

Step-by-step explanation:

Please help I don't can't figure out the answer

There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track 19 people use the gym and the pool. 9 people use the pool and the track 16 people use the gym and the track, 4 people use all three facilities. Given that a randomly selected person uses at least two facilities, what is the probability they use all the facilities?​

Answers

Answer:

1/9

Step-by-step explanation:

4 people use all three facilities, then

16 - 4 = 12 people use the gym and the track and do not use the pool;

9 - 4 = 5 people use the pool and the track and do not use the gym;

19 - 4 = 15 people use the gym and the pool and do not use the track.

At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is 4/36

please help me with this math problem

Answers

Step-by-step explanation:

the group of x friends is SPLITTING the cost of $50. Therefore to find the amount each person pays after the split, you will divide 50 by the amount fo friends (x). Each person is also paying an extra $5 for dessert. Therefore, you will be adding that 5 to everyone's total after splitting.

So the equation you will get is

[tex]a(x) = \frac{50}{x} + 5[/tex]

Answer:

A(x)= (50/x)+5

Step-by-step explanation:

50 bucks divided by the number of people in the group which is X and each must also pay 5 bucks for dessert.

A) (2x-10)(3x+1)
B) (3x+2)(2x-5)
C) (2x+5)(3×+1)
D) (2x+1)(3×+5)
E) None of the above. The quadratic f(x) = 6x] + 11X - 10
would have which of the following
factors?

Answers

Answer:

B

Step-by-step explanation:

(3x+2)(2x-5)

Brainliest?

what is the solution to the system of equations​

Answers

Here the answer hope this help

ACCURATE ANSWER=BRAINLIST
The first four terms of a sequence are shown.

7, 25, 43, 61, ...
Which of the following expressions can be used to find the nth term of the sequence?

Question 3 options:

7+18n

18+7n

18+7(n−1)

7+18(n−1)

Answers

Answer:

7+18n

might be the answer sorry if I am wrong

It’ be 7 + 18(n-1)

I plugged in the fourth term for n, and only that expression gave the correct answer of 61

What is the estimated quotient of 8 455 divided by 17? *.

Answers

Answer:

34.7647058824

Step-by-step explanation:

Please help me solve this problem ASAP!

Answers

Answer:

im pretty sure the answer is 90°

What number is furthest from 0 on a number line? 16 or 18?

Answers

18. _______________________________________

Help ! Find X and others. ANGLES!!!!

Answers

Answer:

x = 12°

∠RST = 40°

∠STR = 100°

Step-by-step explanation:

Given f(x) = 5x + 4 , find f(-10)

Answers

Answer:

-46

Step-by-step explanation:

5 x -10 + 4 = -50 + 4 = -46

if 5/6 of the 30 motorcycles were new, how many motorcycles were used​

Answers

Answer:

5 Motorcycles are used

30÷6= 5

5×5= 25

30-24=5

so the answer is 5

Answer:

5 out of the 30 motorcycles are used

Step-by-step explanation:

First, we should look at what we know. We know that there are 30 motorcycles in total. As a fraction, that'd be 30/30. We also know that of that 30, the equivalent of 5/6 are brand new.

Our next step is to figure out how much 5/6 is out of 30. Since we know that in total there 30/30 motorcycles, we need to convert 5/6 to have a denominator of 30. So what times 6 equals 30.

30 ÷ 6 = ?    opposite of 6 x ? = 30

5                   divide

So now we now that 6 times 5 equals 30. What we do to the denominator we must do to the numerator.

[tex]\frac{5}{6}[/tex] × [tex]\frac{5}{5}[/tex]    

[tex]\frac{25}{30}[/tex]

Now we know that 25 of the 30 motorcycles are new and all we need to do is subtract that 25 from the total 30 to get 5. This tells us that 5 of the total motorcycles are used.

I hope this helped :)

12 ≤ 4n < 28

SOLVE THE COMPOUND INEQUALITY​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

[tex] \boxed{ \boxed{3 \leqslant n < 7}}[/tex]

The equivalent expression is ~

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex]12 \leqslant 4n < 28[/tex]

Now divide each term with 4

[tex]12 \div 4 \leqslant 4n \div 4 < 28 \div 4[/tex]

[tex]3 \leqslant n < 7[/tex]

[tex] \sf \: 12 ≤ 4n < 28[/tex]

Divide all parts by 4

[tex]\sf \longmapsto \frac{12}{4}≤ \frac{4n}{4} < \frac{28}{4} [/tex]

[tex] \sf \longmapsto3≤n<7[/tex]

Result:

[tex]\boxed{ \sf 3 \leqslant n<7}[/tex]

Number line attached

please help with statistic 20

Answers

Part A

p = 0.32 = probability of someone voting by internet

n = 13 = sample size

x = 10 = number of people who voted by internet

Apply the binomial probability formula.

[tex]P(x) = (_n C _x)*(p)^{x}*(1-p)^{n-x}\\\\P(10) = (_{13} C _{10})*(0.32)^{10}*(1-0.32)^{13-10}\\\\P(10) = (286)*(0.32)^{10}*(0.68)^{3}\\\\P(10) \approx 0.0010124942242\\\\P(10) \approx \textbf{0.00101}\\\\[/tex]

Note: the [tex]_n C_x[/tex] refers to the combination formula.

Answer:   0.00101

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

Part B

We could apply the binomial theorem for the following values of x: {10,11,12,13}. Then would add up the results.

However, such a task is fairly tedious and it's more efficient to use computer software (or a graphing calculator). Also, there's the element of limited time that you'll need to consider. I showed the steps for part A above because your teacher may have wanted you to list them. Usually it's better to rely on software for that task as well. At the very least, it's useful to have software to check your answer.

Whichever method you use, you should find the following:

P(10) = 0.00101P(11) = 0.00013P(12) = 0.00001P(13) = 0

The last value isn't exactly 0, but it's so small that it's effectively zero. This is because we only have 5 decimal places to work with.

Add up those four values to get:

[tex]P(x \ge 10) = P(10)+P(11)+P(12)+P(13)\\\\P(x \ge 10) \approx 0.00101+0.00013+0.00001+0\\\\P(x \ge 10) \approx 0.00115\\\\[/tex]

A faster shortcut is to use your calculator's binomCDF function.

This result of 0.00115 is fairly small. The usual distinction we make between whether a probability is small or not is to set up some kind of threshold. This threshold is known as the significance level. By default, it's set to 0.05 unless your teacher specifies otherwise. Another common significance level is 0.01, but it's usually mentioned.

Since 0.00115 is smaller than 0.05, and even 0.01, we consider the probability of getting 10 or more internet voters to be a significant event. It's fairly unusual to get 10 or more people voting by internet in this sample of n = 13 people.

Answer: Choice A) Yes, because the probability of 10 or more is 0.00115, which is low.

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

Part C

Like with part B, we could find the binomial probability values for x = {1,2,3,...,11,12,13}. We could add up the values like I did, or use the binomCDF function which is faster.

Another approach is to use the complement of the event "at least 1". If x is some number in the set {0,1,2,..,12,13}, then either [tex]x = 0[/tex] or [tex]x \ge 1[/tex]

From this, we can say

[tex]P(x=0) + P(x \ge 1) = 1\\\\P(x \ge 1) = 1-P(x=0)\\\\P(x \ge 1) \approx 1-0.00665\\\\P(x \ge 1) \approx 0.99335\\\\[/tex]

This then rounds to 0.993

Answer:  0.993

given g(x)=-2x+1 solve for x when g (x)=5

Answers

Answer:

x = -2

Step-by-step explanation:

g(x) = 5

-2x + 1 = 5

-2x  = 5 - 1

-2x = 4

x = 4/-2

x = -2

>> Answer

_________

[tex]\:[/tex]

g(x) = 5

5 = -2x + 1

5 - 1 = -2x

4 = -2x

x = -2

Work out Sarah's total pay for the last week

Answers

Answer:

190

Step-by-step explanation:

Attached picture...

What is the area of this triangle?

Answers

Answer:

all side equal is formula of triangle.But i think in our class 7 book is traingle formula is all side equal

The algebraic form of an with no solution is?

1. a = a
2. x = a
3. a = b


Which one is the answer?

Answers

a = b

In algebra, X normally correlated with a specific variable so if x = anything, (x = 4) that is a real equation. a = b just means a number equal to another number (3 = 4) which is not true.

A store owner has 65.5 pounds of candy. If he splits the candy equally into 5 boxes, how many pounds of candy will each box contain?

Answers

Answer: Each box of candy would contain 13.1 pounds of candy.

Step-by-step explanation:

Divide 65.5 by 5. Hope this helps!

Los asistentes, hoy, a la reunión semanal de un club social se pueden agrupar por parejas para bailar, por tríos para hacer manualidades, y de 4 en 4 para jugar bingo. En ninguno de esos casos queda nadie sin grupo. ¿Cuántas personas son si casi llegan a 25?

Answers

En la reunión semanal había 24 personas.

Los asistentes, hoy, a la reunión semanal de un club social se pueden agrupar por parejas para bailar, por tríos para hacer manualidades, y de 4 en 4 para jugar bingo, y en ninguno de esos casos queda nadie sin grupo, para determinar cuántas personas son si casi llegan a 25 se debe realizar el siguiente cálculo, obteniendo el múltiplo común entre estos números:

2 - 4 - 6 - 8 - 10 - 12 - 14 - 16 - 18 - 20 - 22 - 243 - 6 - 9 - 12 - 15 - 18 - 21 - 244 - 8 - 12 - 16 - 20 - 24

Por lo tanto, en la reunión semanal había 24 personas.

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