HURRY ASAP ?!?!?!?!?!?!?!?Which of the following is the inverse of

HURRY ASAP ?!?!?!?!?!?!?!?Which Of The Following Is The Inverse Of

Answers

Answer 1

Answer:

[tex]f^{-1}(x) = \sqrt[3]{\frac{x -4}{5}} +2[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5(x - 2)^3 + 4[/tex]

Required

Determine the inverse

[tex]f(x) = 5(x - 2)^3 + 4[/tex]

Replace f(x) with y

[tex]y = 5(x - 2)^3 + 4[/tex]

Swap the positions of x and y

[tex]x = 5(y - 2)^3 + 4[/tex]

Make y the subject

[tex]x -4= 5(y - 2)^3[/tex]

Divide by 5

[tex]\frac{x -4}{5}= (y - 2)^3[/tex]

Take cube roots of both sides

[tex]\sqrt[3]{\frac{x -4}{5}}= y - 2[/tex]

Add 2 to both sides

[tex]\sqrt[3]{\frac{x -4}{5}} +2 = y[/tex]

[tex]y = \sqrt[3]{\frac{x -4}{5}} +2[/tex]

Replace y with [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x) = \sqrt[3]{\frac{x -4}{5}} +2[/tex]


Related Questions

Find the indicated limit, if it exists.

Answers

Answer:

2

Step-by-step explanation:

[tex]Lim_{x\to 8} f(x), \: f(x) \begin{cases} x + 10 \: \: \: \: x < 8 \\ \\ 10 - x \: \: \: \: x \geqslant 8\end{cases}[/tex]

[tex] Lim_{x\to 8} f(x) = Lim_{x\to 8} 10 - x \\ \\ = 10 - 8 \\ \\ = 2[/tex]

A, B, C, OR D. WILL MARK ANSWER BRAINLIEST.

Answers

Answer:

C

Step-by-step explanation:

all points on the line of the equation y = 1 will have the number 1 as the y-value in each ordered pair

y = 1 is a horizontal line which intersects the y-axis at (0, 1)

C. Bc it goes through 1

3/4x - 7 > 5
whats the inequality ?

Answers

Answer:

x > 16

Step-by-step explanation:

3/4x > 12

3x > 48

x > 16

hope this helps

Peter’s teacher says he may have his report card percentage based on either the mean or the median and he can drop one test score if he chooses. 84%, 71%, 64%, 90%, 75%, 44%, 98% Which measure of center should Peter choose so he can have the highest percentage possible? Peter should choose the mean after dropping one test score. Peter should choose the mean without dropping one test score. Peter should choose the median after dropping one test score. Peter should choose the median without dropping one test score.

Answers

Answer:

it number 3 ok look it up

Step-by-step explanation:

my user name on  is john_wick4732

Answer:

The answer is A) Peter should choose the mean after dropping one test score

Step-by-step explanation:

please mark brainlest if im right please :3

180 students in a 10th grade class high school take a survey about which video game consoles they own. 80 students answer that one of the consuls is a PlayStation 90 answer that one of the consules is an Xbox out of these there are 30 who are both systems > continue reading on picture pls help very important

Answers

Answer:

Ur answer is in attachment

Step-by-step explanation:

please mark me as brainliest

The probability that a student has both box and a console is 1/6 and the P(B/A) = 0.378

What is probability?

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening being equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here, the number of students with both video games is 30 thus

The probability that a student has both box and a console is 30/180=1/6

And the conditional probability P(B/A) is = 1/6/0.44

                                                                    = 0.378

Hence, The probability that a student has both box and a console is 1/6, and the P(B/A) = 0.378

Learn more about probability here:

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A pet sitter charges $84 for eight hours of work at this rate how much does the pet Sitter charge for seven hours of work?

Answers

Answer:

73.5

Step-by-step explanation:

84/8=10.5

10.5x7=73.5

Find the solution(s) to the system of equations below:
3x - 5y = 3 and y = 3x2 - 4x + 1

Answers

Answer:

The solutions I found to this system of equations are (1, 0) and (⁸/₁₅, -7).  

I keep second guessing and recalculating the second point there, so I'd suggest double-checking it by going through the work yourself.  The first one checks out though.

Step-by-step explanation:

Let's solve this by substitution, where one equation is solved for one variable and substituted in to the other.  As the latter equation is already solved for y, we can simply substitute it into the other:

given:

   y = 3x² - 4x + 1

   3x - 5y = 3

then:

  3x - 5(3x² - 4x + 1) = 3

Which we can then simplify and solve:

3x - 15x² + 20x - 5 = 3

-3x + 15x² - 20x + 5 = -3

15x² - 23x = -8

Now we can find find the solution by completing the square:

15(15x² - 23x) = 15(-8)

225x² - 345x = -120

225x² - 345x  + (23/2)² = -120 + (23/2)²

225x² - 345x  + 529/4 = -120 + 529/4

(15x - 11.5)² = -120 + 132.25

(15x - 11.5)² = 12.25

15x - 11.5 = ± √12.25

15x - 11.5 = ± 3.5

15x = 11.5 ± 3.5

x = (11.5 ± 3.5) / 15

x = 15 / 15, and 8 / 15

x = 1, and 0.5333...

Now that we have x, we can solve for y.

given: 3x - 5y = 3

for x = 1:

3 - 5y = 3

y = 0

for x = ⁸/₁₅:

3(⁸/₁₅) - 5y = 3

5y = 3(⁸/₁₅) - 3

5y = ²⁴/₁₅ - ⁴⁵/₁₅

5y = -²¹/₁₅

y = -²¹/₃

y = -7

So the solutions to this system of equations are (1, 0) and (⁸/₁₅, -7).

Jamal gets ready for a basketball game by shooting 101010 free-throws. Based on previous data, he has a 70% chance of making each free-throw. Assume that the results of each free-throw are independent.
Which of the following would find the probability of Jamal making exactly 8 of 10 free-throws?
A) (10
7) (0.70)^7(0.30)^3


B) (10
8) (0.70)^8(0.30)^2
C) (10
8) (0.70)^2(0.30)^8
D) (70
10) (0.70)^8(0.30)^2
E) (0.70)^8(0.30)^2

Answers

Answer: you’re welcome

Step-by-step explanation:

The probability for the given case is ⁰C₈(0.8)⁸(0.3)². The correct option is (c).

How to find probability using binomial distribution?

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

Given that,

The probability of making free-throw is 70% = 70/100 = 0.7

Then, the probability of not making free-throw is 1 - 0.7 = 0.3.

The exact 8 free-throws out of 10 implies that there will be 2 throws that are not free.

So, this case belongs to the binomial distribution which can be written as,

ⁿCₓpˣqⁿ⁻ˣ, where p is the probability of success and q is the probability of failure, n is the total number of trials and x is the number of favorable trials.

Now, in order to find the probability of exact 8 free-throws out of 10 can be found using binomial distribution as follows,

P (exact 8 throws) = ¹⁰C₈(0.8)⁸(0.3)²

Hence, the probability of getting exact 8 free-throws out of 10 is  ¹⁰C₈(0.8)⁸(0.3)².

                             

To know more about binomial distribution click on,

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pls help me for a second

Answers

Answer:

do you need Anything else? hope i helped u

What type of transformation
has this figure Madeo

Answers

Answer:

Rotation it almost has Rotate in the word, Reflection is a mirror of itself, Translation is when the Object stays the same, But is moved

Step-by-step explanation:

Write the equation of the line (y = mx+b) that has a slope of 2/3 and passing through the point (-6, 4)​

Answers

Answer:

y = 2/3x + 4

Step-by-step explanation:

y = 2/3x + b

substitute

4 = 2/3(-6) + b

4 = -4 + b

what number added to -4 will equal 4? the only answer is 8.

-4 + 8 = 4.

b = 4

HELP DUE BY 1pm PACIFIC NEED HELP ASAP

Answers

I'm backkkk!

40 = 5 (w - 2)            would be the equation.

40 = 5w - 10              using the distributive property.

+ 10        + 10             because you must add to both sides to get rid of the 10.

50 = 5w

/5      /5                      again, keep the same on both sides, and...

10 = w

Please answer each question truthfully or I will report you

Answers

Answer:

1. 17.6

2. 8.8

3. 4.79

4. 3.92

Answer:

33: 17.6

34: 8.8

35: 4.79

36: 3.92

Step-by-step explanation:

Please note that threatening people isn't the best way to get them to help! Thx!

In ABC, what is the value of x?

Answers

Answer:

122 po nya ta

Step-by-step explanation:

sana po makatulong

Answer:

70

Step-by-step explanation:

I got it wrong and this is what showed up

What is the value of the expression
3+(2+8)^2+4*(1/2)^4

Answers

Answer:

Use photo math, it will explain it all

Use PEMDAS

First here's the expression written out a little clearer

[tex]3+(2+8)^2+4*(\frac{1}{2} )^4[/tex]

Parentheses: (2+8) = (10).

Exponents: 10^2 is 100, and [tex](\frac{1}{2} )^4[/tex] is [tex]\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot\frac{1}{2} =[/tex] [tex]\frac{1}{16}[/tex]

Multiplication and division: 4 * 1/16 is [tex]\frac{4}{16}[/tex] or [tex]\frac{1}{4}[/tex] simplified

Addition and subtraction: Go left to right. 3 + 100 + [tex]\frac{1}{4}[/tex] = 103.25 (final answer)

Simplify.
5a√2+3a√2


16a
8
8a

Answers

Answer:

8a[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given

5a[tex]\sqrt{2}[/tex] + 3a[tex]\sqrt{2}[/tex] ← factor out [tex]\sqrt{2}[/tex] from each term

= [tex]\sqrt{2}[/tex] (5a + 3a)

= 8a[tex]\sqrt{2}[/tex]

16 is the sum of a number and 2.
What is the equation?

Answers

Answer:

14

Step-by-step explanation:

[tex]x + 2 = 16 \\ x = 16 - 2 \\ x = 14[/tex]

Like this ???

Answer:

16 = 2 + 14

Step-by-step explanation:

Sum means to add to numbers, so we are finding x + 2 = 16.

x + 2 - 2 = 16 - 2

x = 14

Help me answer the question ​

Answers

Answer:

cubic

Step-by-step explanation:

you can eliminate all of the other ones

Answer:

cubic

Step-by-step explanation:

quadratic = makes a parabola - U shaped

linear = makes a straight line

cubic = makes a shape just like the one in the picture

square root = makes a curved shape and its also a shape that looks like half of a parabola lying on its side

please answer all the questions for 25 points and for brainliest if not answer correctly will report

Answers

Answer:

1) 56.52 in²

2) 565.2 ft²

3) 235.5yd²

4) 898.04 ft²

5) 942 yd²

6) 75.36 in²

Step-by-step explanation:

SA= πrS + πr²

1) (3.14)(2)(7) + (3.14)(2²) = 56.52 in²

2) (3.14)(9)(11) + (3.14)(9²) = 565.2 ft²

3) (3.14)(5)(10) + (3.14)(5²) = 235.5yd²

4) (3.14)(11)(15) + (3.14)(11²) = 898.04 ft²

5) (3.14)(10)(20) + (3.14)(10²) = 942 yd²

S =5 because 5² = 3² + 4²

6) (3.14)(3)(5) + (3.14)(3²) = 75.36 in²

Find the equation of the straight line passing through the point (-4,5) and perpendicular to the line y=2x+7.Suppose the equation is y=cx+d.Find c,d.

Answers

Answer:

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, this means that the multiplication of their slopes is -1.

Perpendicular to y=2x+7

This means that:

[tex]2m = -1[/tex]

[tex]m = -\frac{1}{2}[/tex]

So

[tex]y = -\frac{1}{2}x + b[/tex]

Passing through the point (-4,5)

This means that when [tex]x = -4, y = 5[/tex]. We use this to find b.

[tex]y = -\frac{1}{2}x + b[/tex]

[tex]5 = -\frac{1}{2}(-4) + b[/tex]

[tex]2 + b = 5[/tex]

[tex]b = 3[/tex]

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]

Find the volume of cylinder with height 9 cm and radius 4 cm

Answers

Answer: 144π

Step-by-step explanation: First. find the area of the bases. To do this, you must solve for the area of a circle with a radius of 4. Since the formula for finding the area of a circle is area=πr² squared, the area of the circles are 16π. Next, you must multiply the area of the base, 16π, by the height of the cylinder, 9. 16π times 9 is 144π, or about 452.4, if rounded to the nearest tenth, or 452.39, if rounded to the nearest hundredth.

1. What is the purpose of using a control group and an experimental group in a research study? Give an
example of a situation where they would be used.

Answers

Answer:

A control group is used in an experiment as a point of comparison.

Step-by-step explanation:

By having a group that does not receive any sort of treatment, researchers are better able to isolate whether the experimental treatment did or did not affect the subjects who received it.

A realtor receives 7% commission for each home for each home she sells. She sold a home recently, earning a commission of $17,500. What was the sale price of the home?

Answers

Answer:

Step-by-step explanation:

if the realtor received a commission of 17,500 dollars which represent only 7% of the price of the house,

the sale price was

(17,500*100)/0.07=250,000

what is the value of m when m/2=4.8​

Answers

Answer: 9.6

Step-by-step explanation:

You need to isolate the m and in order to do that then you have to multiply both sides by 2

So m/2 x 2 = m

4.8 x 2 = 9.6 which is the answer

Answer:

m = 9.6

Step-by-step explanation:

m/2 = 4.8

m = 4.8×2

m = 9.6

Katie wants to collect over a hundred seashells she already has 34 seashells in her collection each day she finds 12 more seashells on the beach Katie can use fractions of days to find seashells write an equality to determine the number of days D it will take Katie to collect over a 100 seashells. no explanation needed​

Answers

Answer:

6

Step-by-step explanation:

it’s 6 im very good in math

PLEASE I NEED HELP CLICK ON THIS IMAGE

Answers

Answer:

Mean: 10

Median: 10.5

Mode: none

Step-by-step explanation:

there is no mode, mean is 10 and median is 10.5

Help fjdhddjdhdhhdhdhdufh

Answers

Answer:B. 86

Explanation: 1032/12=86

SOMEONE PLEASE HELP NO LATE RESPONSES JUST PLEASE ASAP

Answers

Answer:

93.5

Step-by-step explanation:

A Carpenter has a board that measures 6 feet x 4 feet. a small rectangle measuring 1 foot x 1 foot is cut out of the middle how much area is left?

Answers

I think it’s 15 but I’m not to sure

What are the x-intercepts of the graph of y = x + 7x + 10?
O A. (5,0) and (2.0)
O B. (-7,0) and (-10,0)
O c. (7,0) and (10,0)
O D. (-5,0) and (-2, 0)

Answers

Answer:

D

Step-by-step explanation:

I hope this helps a bit.

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