Find the inverse of the function. k(x) = (x – 8) for x28 -"(x) = [], x=0

Answers

Answer 1

The inverse of the function k(x) = (x - 8) for x ≥ 8 is k⁻¹(x) = x + 8.

To find the inverse of the function k(x) = (x – 8), we need to switch the x and y variables and solve for y.

So, we start by writing:

x = y – 8

Then, we solve for y:

y = x + 8

Therefore, the inverse of the function k(x) = (x – 8) is given by h(x) = x + 8.

To check this answer, we can verify that k(h(x)) = x and h(k(x)) = x.

So, k(h(x)) = k(x + 8) = (x + 8) – 8 = x

And, h(k(x)) = h(x – 8) = (x – 8) + 8 = x

Therefore, we have confirmed that the inverse function h(x) = x + 8 is correct.

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Related Questions

The blueprint of a fishing pier uses a scale of 1/8 inch = 5 feet. If the pier is 3 19/4 inches long on the blueprint, find its actual length.

pls!

Answers

Answer:

190

Step-by-step explanation:

1/8= 5 ft

19/4 = 38/8

38/8 = 38*5 = 190 feet

The fair spinner shown is spun 2 times. The set of possible outcomes are: S = {RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY} The number of yellows in the outcome is summarized in the table on the right. A 2-column table has 3 rows. The first column is labeled Yellow with entries 0, 1, 2. The second column is labeled Frequency with entries 9, 6, 1. Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two spins?
0.0625
0.5625
0.375
1

Answers

Answer:

Answer is 0.375 :)

Step-by-step explanation:

The probability of the spinner landing only once on yellow in two spins is 0.375.

What is Probability?

A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.

As per the given data:

We are given the sample space of possible outcomes for a fair spinner.

Also, we are given a table which denotes the frequency of the color yellow appearing on the spinner.

For finding out the probability of the spinner landing only once on yellow in two spins.

= Favorable outcomes / Total number of outcomes

From the given table:

Favorable outcomes = 6

= Favorable outcomes / Total number of outcomes = 6 / 16

= 0.375

The probability of the spinner landing only once on yellow in two spins is 0.375.

Hence, The probability of the spinner landing only once on yellow in two spins is 0.375.

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Solve the inequalities. State whether the inequalities have no solutions or real solutions.7p - 11p + 3 > 3 - 4p

Answers

Given,

7p-11p+3>3-4p

-4p+3>3-4p

-4p>-4p

which is absured.

So there is no solution of the inequality.

-10 + 4(3p + 10) = 18 solve for p

Answers

Answer:

p= -1

Step-by-step explanation:

4(3p+10)=28

12p+40=28

12p=-12

p=-1

Answer:

-10 + 4(3p + 10) = 18

12p+40=18+10

12p=28-40

p=-12/12=-1

Find the values of a and b that the solution to 2(3x+5)+ax=5(4x-b) is real numbers

Answers

The value of "a" and "b" is  14 and -2,respectively.

We are given an equation. The equation is a linear equation with one variable.A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions."x" is the variable in the equation."a" and "b" are constants.The equation is :2(3x+5)+ax=5(4x-b)Simplify the above equation.6x + 10 + ax = 20x - 5bCombine the like terms.(6 + a)x + 10 = 20x - 5bCompare the coefficients of x and the constants with each other.6 + a = 20a = 1410 = -5bb = -2The values of the constants "a" and "b" are 14 and -2.

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HELP PLEASE BABES! I need it!!

HELP PLEASE BABES! I need it!!

Answers

Answer:

i think its no solution because it is parallel

Step-by-step explanation:

There are Math books and Science books on a large shelf. The ratio of Math books to Science books is 4:5. If there are 27 total books on the shelf, how many Math books are on the shelf?

Answers

Answer:

12:15

Step-by-step explanation:

27/9=3

3x4=12

3×5=15

There are 12 maths book's

Answer:

12 are math

Step-by-step explanation:

if ratio of math to science is 4 to 5 then 4/9 of 27 are math and 5/9 of 27 are science

27 x 4/9 = 12

If the slope of a line is zero the line must be a
line.

Answers

Answer:

Straight along the horizontal axis

Step-by-step explanation:

Hope this helped :)

Write the equation for the line that passes through the points (4, 5) and
(6,9). *

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

first find slops

(9-5)/(6-4) = 4/2 = 2 = m

y = mx + b

5 = 2(2) + b

1 = b

y = 2x + 1

Answer:

y = 2x - 3

Step-by-step explanation:

gradient of the line is

\( \frac{9 - 5}{6 - 4 } = 2\)

equation will be:

\( \frac{y - 5}{ x - 4} = 2\)

y - 5 = 2x - 8

y = 2x - 3

The following table represents the result of a synthetic division. -3 5 9 -4 -5 -15 18 -42 5 -6 14 |-47 Use x as the variable. Identify the dividend. The daily profit in dollars made by an automobile manufacturer is P(x)=-30x2+1,560x - 1,470 where x is the number of cars produced per shift. Find the maximum possible daily profit

Answers

The maximum possible daily profit is $19,050. In the synthetic division: -3 | 5 9 -4 -5 -15 18 -42 5 -6 14 -47

The dividend is the polynomial being divided, which is represented by the coefficients in the synthetic division. In this case, the dividend is:

5x^10 + 9x^9 - 4x^8 - 5x^7 - 15x^6 + 18x^5 - 42x^4 + 5x^3 - 6x^2 + 14x - 47

To find the maximum possible daily profit, we need to find the vertex of the parabola represented by the profit function P(x) = -30x^2 + 1560x - 1470.

The vertex of a parabola can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic term and linear term, respectively.

In this case, a = -30 and b = 1560. Plugging these values into the formula, we have:

x = -1560 / (2(-30))

x = -1560 / (-60)

x = 26

So, the maximum possible daily profit occurs when x = 26 cars produced per shift.

To find the maximum profit, we substitute this value back into the profit function:

P(26) = -30(26)^2 + 1560(26) - 1470

P(26) = -30(676) + 40,560 - 1470

P(26) = -20,280 + 40,560 - 1470

P(26) = 19,050

Therefore, the maximum possible daily profit is $19,050.

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isosceles triangle find x

isosceles triangle find x

Answers

Answer:

2345467898765

Step-by-step explanation:

gfgjjhhghjjhgfhgkhgjfdfhkg

Answer:

x = 14

Step-by-step explanation:

Since the triangle is isosceles, then the legs are congruent, both 4x - 5

Sum the lengths of the sides and equate to 116

4x - 5 + 4x - 5 + x = 116 , that is

9x - 10 = 116 ( add 10 to both sides )

9x = 126 ( divide both sides by 9 )

x = 14

Explain how the U. S entertainment industry changed during the 1930s

Answers

The 1930s was a period of significant change in the U.S. entertainment industry, with the emergence of new technologies and the development of new forms of media. Here are some of the key changes that took place:

The rise of sound films: The introduction of synchronized sound in films in the late 1920s revolutionized the movie industry, and by the 1930s, "talkies" had replaced silent films as the dominant form of cinema. This led to a surge in demand for new films and a boom in the movie theater industry.The growth of radio: Radio broadcasting became increasingly popular in the 1930s, with programs ranging from news and current affairs to drama, comedy, and music. Radio provided a new form of entertainment and also became an important platform for advertising, with many companies sponsoring radio programs to reach a wider audience.The impact of the Great Depression: The economic downturn of the Great Depression had a significant impact on the entertainment industry, with many people struggling to afford tickets to movies and shows. As a result, many producers focused on creating more affordable forms of entertainment, such as low-budget films and radio programs.The emergence of new genres: In response to changing audience preferences, new genres of entertainment emerged in the 1930s. One of the most popular was the screwball comedy, a lighthearted and fast-paced form of comedy that often featured romantic storylines. The decade also saw the rise of gangster films, musicals, and horror movies.The impact of censorship: In 1930, the Motion Picture Production Code was introduced, which established strict guidelines for the content of movies to ensure that they were "wholesome" and "morally uplifting." This had a significant impact on the content of films and limited the freedom of filmmakers to explore controversial or taboo subjects.

Overall, the 1930s was a period of significant change in the U.S. entertainment industry, with the rise of new technologies and the emergence of new forms of media leading to the development of new genres and changing audience preferences.

the numbers 1 through 15 are written on cards. one card is hosen at random. event a is choosing a multiple of 5. event b is choose an even number. what is the probability of choosing a multiple of 5 or an even number?

Answers

There are 15 cards with numbers from 1 to 15 written on them. Event A is choosing a multiple of 5, which includes the numbers 5 and 10. Event B is choosing an even number, which includes the numbers 2, 4, 6, 8, 10, 12, and 14.

First, we need to determine the number of cards that correspond to each event:

Event A: Multiples of 5 in the range 1-15 are 5 and 10. So, there are 2 cards that correspond to event A.

Event B: Even numbers in the range 1-15 are 2, 4, 6, 8, 10, 12, and 14. So, there are 7 cards that correspond to event B.

To find the probability of choosing a multiple of 5 or an even number, we need to add the probabilities of the two events and subtract the probability of their intersection:

P(A or B) = P(A) + P(B) - P(A and B)

The probability of event A is 2/15, the probability of event B is 7/15. To find the probability of their intersection, we need to determine how many cards satisfy both events. The only card that satisfies both events is 10. Therefore, P(A and B) = 1/15.

Plugging these values into the formula, we get:

P(A or B) = 2/15 + 7/15 - 1/15 = 8/15

Therefore, the probability of choosing a multiple of 5 or an even number is 8/15.

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please help im really bad at this

please help im really bad at this

Answers

Our ratio is 5 : 2.

Once we know our ratio, we just have to figure out equivalent ones to fill in the chart. If it helps, feel free to think about this like a fraction! Fractions and ratios are pretty much interchangeable.

5 / 2 = ? / 4 = 10 / 4

10 : 4

5 / 2 = 25 / ? = 25 / 10

25 : 10

5 / 2 = ? / 20 = 50 / 20

50 : 20

Hope this helps!

Answer:

5:2

10:4

25:10

50:20

Step-by-step explanation:

So, this is a 5 to 2 ratio. Which means for every 5 thing there are also 2 other things.

Let's walk through the table:

We see in the second row that there is 4 in the second column. That means the 2 was multiplied by 2 to get 4. So, you would have to multiply 5 by 2 as well. So the ratio would be 10:4.

For the 25 row, 5 x 5 = 25. Because the five was multiplied by another 5, you would have to multiply 2 by 5 as well. This gets the ratio of 25:10.

Lastly, for the last row, divide 20 by 2. This gets you 10. Now, multiply 10 by 5 to get the final box. The ratio would then be 50:20.

Hope this helps!! Ask questions if you need clarification!

Plz plz plz plz help pppppppppppp ​

Plz plz plz plz help pppppppppppp

Answers

Correct answer is 169 because if you square root 169 answer is gonna be 13

Please help BRAINLIST!

Please help BRAINLIST!

Answers

By the property of congruency of triangles, the following conclusions are taken from the figure

Second, third and fifth options are correct

First and fourth option are wrong.

What is congruency of triangles?

Two triangles are said to be congruent if their corrosponding sides and corrosponding angles are same.

There are five axioms of congruency

They are SSS axiom, ASA axiom, AAS axiom, SAS axiom, RHS axiom

Here,

From the second option,

AB = DE [Given]

\(\angle ABC = \angle CED\) [ Given]

BC = CE [Given]

So, \(\Delta ABC \cong \Delta CED\) [SAS axiom]

Second option is correct

For the third and fifth option

\(\angle ABC = \angle CED\) [ Given]

BC = CE [Given]

\(\angle BCA = \angle DCE\) [ Vertically opposite angle]

So, \(\Delta ABC \cong \Delta CED\) [ASA axiom]

Third and fifth option are correct

Second, third and fifth options are correct

For first and fourth option,

There is no axiom like side- side and Angle - side-side in congruency

First and fourth option are wrong.

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How do you find the center of a triangle?

Answers

Answer:

Step-by-step explanation:

There are several ways to find the center of a triangle:

The Centroid: The centroid is a point that divides each median of the triangle into two equal parts. It is the average of the vertices of the triangle. To find the centroid, you simply average the x-coordinates and the y-coordinates of the vertices:

G = (x1 + x2 + x3)/3, (y1 + y2 + y3)/3

where (x1, y1), (x2, y2), and (x3, y3) are the coordinates of the vertices of the triangle.

The Circumcenter: The circumcenter is the center of the circle that passes through all three vertices of the triangle. To find the circumcenter, you need to find the midpoint of each side of the triangle and then draw perpendicular bisectors to each side. The point where the perpendicular bisectors intersect is the circumcenter.

The Orthocenter: The orthocenter is the point where the altitudes of the triangle intersect. The altitudes are the perpendicular lines from each vertex to the line that contains the opposite side. To find the orthocenter, you need to find the equations of the altitudes and then solve for the point where they intersect.

Note: If the triangle is an equilateral triangle, then the circumcenter and the centroid are the same. If the triangle is a right triangle, then the orthocenter and the circumcenter are the same.

Ms. Brockman wants to take her class on a trip to either the nature center or the zoo. The nature center charges $4 per student, plus $95 for a 1-hour naturalist program. The zoo charges $6 per student plus $75 for a 1-hour guided tour. Find the number of students where the two field trips would have the same cost.

Ms. Brockman wants to take her class on a trip to either the nature center or the zoo. The nature center

Answers

10 student would be the answer

An algorithm will be used to identify the maximum value in a list of one or more integers. Consider the two versions of the algorithm below. Algorithm I: Set the value of a variable max to - 1. Iterate through the list of integer values. If a data value is greater than the value of the variable max, set max to the data value. Algorithm II : Set the value of a variable max to the first data value. Iterate through the remaining values in the list of integers. If a data value is greater than the value of the variable max, set max to the data value. Which of the following statements best describes the behavior of the two algorithms? A Both algorithms work correctly on all input values. В Algorithm I always works correctly, but Algorithm II only works correctly when the maximum value is not the first value in the list. Algorithm Il always works correctly, but Algorithm I only works correctly when the maximum value is greater than or equal to - 1. D Neither algorithm will correctly identify the maximum value when the input contains both positive and negative input values.

Answers

Answer:  Choice C

Algorithm Il always works correctly, but Algorithm I only works correctly when the maximum value is greater than or equal to - 1

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

Explanation:

Let's say we have the data set {-4,-3,-2}. The value -2 is the largest.

If we follow algorithm 1, then the max will erroneously be -1 after all is said and done. This is because the max is set to -1 at the start even if -1 isn't in the data set. Then we see if each data value is larger than -1.

-4 > -1 is false-3 > -1 is false-2 > -1 is false

Each statement being false means we do not update the max to its proper value -2. It stays at -1.

This is why we shouldn't set the max to some random value at the start.

It's better to use the some value in the data set to initialize the max. Algorithm 2 is the better algorithm. Algorithm 1 only works if the max is -1 or larger.

In a circle graph, each section represents a different category.


TrueFalse

Answers

Answer:

True. Hope this helps:)

What other information is needed to prove that FGE Ijh by the SAS?

Answers

To prove that triangle FGE and triangle IJH we need information like the two sides of each triangle and the included angle to be congruent.

To prove two triangles are similar by the SAS is that you need to show that two sides of one triangle are proportional to two corresponding sides of another triangles, with the included corresponding angles being congruent.

For the SAS postulate you need two sides and the included angle in both triangles.

Side-Angle-Side (SAS) postulate:-

If two sides and the included angles of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SAS postulate relate two triangles and says that two triangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

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9/4 as a whole number

Answers

Answer:

Not possible a whole number can't be a decimal or a fraction

Make x the subject of the formula
\( \frac{x}{3z } = y - 2\)

Answers

Answer:

x = 3z(y - 2)

Step-by-step explanation:

You have to times by 3z, so that x can be the subject.

This means x = 3z(y - 2)

on any given day the owner of a yard service earns an average of $40 iper job if it does not rain, and earns $0 if it rains. if the probability of rain on a given day is 25%, what is the expected gain (value) per job for the yard service owner on that given day?

Answers

Answer:

The expected gain (value) per job for the yard service owner on a given day can be calculated by taking a weighted average of the gains under each possible weather condition, where the weights are the probabilities of those conditions occurring.

If it does not rain, the yard service owner earns an average of $40 per job. If it rains, the owner earns $0 per job. The probability of rain on a given day is 25%. Therefore, the expected gain per job on that day is:

Expected gain per job = (probability of no rain) * (gain per job under no rain) + (probability of rain) * (gain per job under rain)

= (0.75) * (40) + (0.25) * (0)

= 30

Therefore, the expected gain (value) per job for the yard service owner on a given day is $30.

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Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. what is the area of the top surface of this wedge? , 1 of 2. select choice square centimeters

Answers

Using the area of a sector formula, we get the area to be:

\(\pi (10)^{2} \left(\frac{45}{360} \right)=\boxed{12.5\pi \text{ cm}^{2}}\)

Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. what is the area of

the demand for the book is p = 96 – 3q. a bookstore can order copies that will cost $9. if the bookstore orders 3 books, what is the total profit? enter as a value.

Answers

The total profit of the demand is $234

How to determine the total profit

The demand equation for the book is:

p = 96 - 3q

where p is the price of the book and q is the quantity demanded.

If the bookstore orders 3 books, then the cost of ordering is:

Cost = $9 x 3 = $27

To find the total profit, we need to first determine the revenue generated from selling the 3 books.

p = 96 - 3q

p = 96 - 3(3)

p = 96 - 9

p = 87

So the price of the book when the quantity demanded is 3 is $87.

The revenue generated from selling 3 books is:

Revenue = p x q

Revenue = $87 x 3

Revenue = $261

The total profit is the revenue minus the cost:

Profit = Revenue - Cost

Profit = $261 - $27

Profit = $234

Hence, the total profit is $234.

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please hurry find DCB

please hurry find DCB

Answers

Answer:

∠DCB = 102°

Explanation:

∠CDB = ∠CBD

∠DCB = 180° - ∠CBD - ∠CDB

∠DCB = 180° - 39° - 39°

∠DCB = 102°

the answer is the angle is 102°




Which is the possible width of a rectangle if the area is given by 4x4 + 2x³ + 8x² - 20x-12 and the length is given by

2x + 1?

Answers

There is no possible width for the rectangle with the given dimensions and area.

The area of the rectangle is given by the product of its length and width.

We know the length of the rectangle is 2x + 1, so we can write:
Area = (2x + 1) * Width

We are also given the expression for the area:
4x4 + 2x³ + 8x² - 20x - 12

We can factor this expression to get:
(2x + 3)(2x - 1)(x² + 2)

So the possible values of the area are (2x + 3)(2x - 1)(x² + 2).

We can set each factor equal to zero to find the possible values of x:
2x + 3 = 0, 2x - 1 = 0, or x² + 2 = 0

Solving for x, we get:
x = -3/2, x = 1/2, or x = ±√(-2)

However, we cannot have a negative value for the width of a rectangle. Therefore, the only possible value for x is 1/2.

Substituting x = 1/2 into the expression for the length of the rectangle, we get:
2x + 1 = 2(1/2) + 1 = 2

So the length of the rectangle is 2.

Substituting x = 1/2 into the expression for the area, we get:
4(1/2)4 + 2(1/2)³ + 8(1/2)² - 20(1/2) - 12 = 0

Simplifying, we get:
4 + 1 + 2 - 10 - 12 = -15

Therefore, there is no possible width for the rectangle with the given dimensions and area.

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mt.McKinley or denali as it is sometimes called, is 3.85 mi high death valley is 0.05 mi deep this are the highest and lowest places in the united states what is the difference between the elevations

Answers

The difference in elevation between Mt. McKinley and Death Valley is 3.9 miles.

What is elevations?

Elevation refers to the height of a location above a reference point, such as sea level or ground level. It is typically measured in units of feet or meters. Elevation is an important geographic factor that affects weather patterns, ecosystems, and human settlements.

The difference in elevation between the highest point in the United States, Mt. McKinley (also known as Denali), and the lowest point, Death Valley, can be calculated by subtracting the elevation of Death Valley from the elevation of Mt. McKinley.

Mt. McKinley has an elevation of 3.85 miles (20,237 feet) above sea level, while Death Valley has an elevation of 0.05 miles (262 feet) below sea level.

So, the difference in elevation between these two locations is:

3.85 miles - (-0.05 miles) = 3.9 miles

Therefore, the difference in elevation between Mt. McKinley and Death Valley is 3.9 miles.

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Consider the normal form game G. Player2 10 L C R Subgame Pre (5,5) L T (5,5) (3,10) (0,4) M planguard (10,3) (4,4) (-2,2) B (4,0) (2,-2) (-10,-10) Let Go (8) denote the game in which the game G is played by the same players at times 0, 1, 2, 3, ... and payoff streams are evaluated using the common discount factor € (0,1). a. For which values of d is it possible to sustain the vector (5,5) as a subgame per- fect equilibrium payoff, by using Nash reversion (playing Nash eq. strategy infinitely

Answers

To sustain the vector (5,5) as a subgame perfect equilibrium payoff in the repeated game G using Nash reversion, we need to determine the values of the discount factor d for which this is possible.

In the repeated game Go(8), the players have a common discount factor d ∈ (0,1). For a subgame perfect equilibrium, the players must play a Nash equilibrium strategy in every subgame.

In the given normal form game G, the Nash equilibria are (L, T) and (R, B). To sustain the vector (5,5) as a subgame perfect equilibrium payoff, the players would need to play the strategy (L, T) infinitely in every repetition of the game G.

The strategy (L, T) yields a payoff of (5,5) in the first stage of the game, but in subsequent stages, the players would have incentives to deviate from this strategy due to the possibility of higher payoffs. Therefore, it is not possible to sustain the vector (5,5) as a subgame perfect equilibrium payoff using Nash reversion, regardless of the value of the discount factor d.

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