The graph of f(x) = x³ has been reflected about the y-axis and vertically shifted up 4 units. Which equations is correct for these transformations ?(choose only one)
a. g(x) = -x³-4
b. g(x) = (-x)³ – 4
c. g(x) = -(x +4)³
d. g(x) = (-x)³ + 4​

Answers

Answer 1

The transformation of the equation will be f(x) = (-x)³ + 4.

Then the correct option is D.

What is a function?

A function is a statement, tenet, or rule that establishes a connection between two variables. Mathematics is replete with functions, which are necessary for the construction of intricate connections.

The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.

The function's graph is provided below.

f(x) = x³

If the graph crosses the y-axis, substitute a negative value for x.

The function will then be f(x) = (-x) ³

Add 4 if the graph has been raised by 4 units.

The equation will then be transformed to f(x) = (-x)³ + 4

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Related Questions

It take 18 pounds of seed to completely plant a 3-acre field.how many pounds of seed are needed per acre

Answers

Given the information that it takes 18 pounds to plant a 3-acre field, we can set up an equation to find the unit rate:

18 / 3 = 6

3 / 3 = 1

It takes 6 pounds of seed per acre.

Suraj took a slice of pizza from the freezer and put it in the oven. The pizza was heated at a constant rate.

The table compares the pizza's temperature (in degrees Celsius) and the time since Suraj started heating it (in minutes).

Time (minutes) Temperature (degrees Celsius)

4 25

6 40

8 55

Answers

The pizza heats up an average of 7.50 degrees per minute.

What is the slope?

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

The table shown

Time (minutes)        Temperature (degrees Celsius)

4                                          25

6                                          40

8                                          55

Since the pizza was heated at a constant rate, we can model the experiment as a line, where the slope represents how fast the pizza was heated

Slope

m   =  (y2 - y1)/(x2 - x1)

Let

(x1,y1) = (6, 40)

(x2,y2) = (8, 55)

m = (55 - 40) / ( 8 - 6 )

m = 7.5 degrees per minute.

The pizza heats up an average of 7.50 degrees per minute

Therefore, pizza heats up an average of 7.50 degrees per minute.

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Please help with this

Answers

Answer:

18

Step-by-step explanation:

252/14=18

Answer:

They washed 18 cars

Step-by-step explanation:

252 ÷ 14 = 18

18 x 14 = 252

( ´ ∀ `)ノ~ ♡

Ravi traveled for 15 hours at a constant rate of 73 miles per hour. Ira traveled the same distance at a constant rate of 64 miles per hour. How long did it take Ira to travel the same distance as Ravi? Write your plan to solve in the correct order

Answers

Ira took hours to reach the same distance as Ravi at the rate of 64miles per hour.

The ratio of two related quantities expressed in several units is known as a rate.

Speed is a rate defined as the amount of distance covered in a given amount of time.

The rate or speed is calculated by the formula:

Distance travelled = speed × time

Lets us solve the following question using the above formula.

The rate of Ravi is 73 mph.

In 15 hours Ravi travels= 15×73=1095 miles.

Now Ira also travels the same distance as Ravi.

So Ira Travels 1095 miles.

Given the rate of Ira=64 mph

Time taken by Ira to cover the distance= Distance ÷ speed(rate)

Hence time taken=1095÷64=17.109375 hours

Therefore the time taken by Ira to cover the same distance as Ravi is approximately 17.11 hours.

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-2x+6<20 I really need the answer

Answers

Answer:

.

Step-by-step explanation:

4. The cost of a school banquet is $75 + 30n, where n is
is the cost for 53 people?
the number of people attending. What
© $1,590
O $4,005
© $1,665
O $158

Answers

Answer:

$ 1665 for 53 people to attend

Step-by-step explanation:

75 + 30(53) = 1665  for 53 people in attendance

Answer:

$1,665

Step-by-step explanation:

Side note: The question is quite unclear. In my opinion, the correct question should be - The cost of a school banquet is $75 + 30n, where n is the number of people attending. What is the cost for 53 people?

We know that the value of "n" is the number of people attending at the school banquet. Therefore, if we want to determine the cost of 53 people, we must substitute n = 53.

⇒ $75 + $30n

⇒ $75 + $30(53)                                                     [Substituting n = 53]

⇒ $75 + $1590                                                                [Simplifying]

$1665                                                                         [Simplifying]

Therefore, the total cost of 53 people attending the school banquet is $1665.

Luis and Raul are riding

Answers

Answer: Part A = y=−7.5x+15

Part B = 5 mi/hr

Step-by-step explanation:

5.29% APR compounded continuously

Answers

Answer:

Step-by-step explanation:

it is a

A student uses the quadratic formula to solve a quadratic equation and determines that one of the solutions is z=3+√-48. What are the values of a and b if this solution is written in the form x = a + bi,
where a and b are real numbers?
a-3 and b=-4√3
a=3 and b= 4√3
a=3 and b=√12
a-3 and b=3√4

Answers

The value of a and b are a = 3 and b = 4√3 which are real numbers.

According to the question the solution that we have been given is:

                            z = 3 + √-48

the general form of the solution given in the question is

                             x = a + bi        (1)

 where , i is known as the iota whose value is equal to √-1

Now to find the value of a and b we will expand the equation given above

                             z = 3 + √-48

                             z = 3 + √(-1)(48)

                             z = 3 + (√-1)(√48)

                             z = 3 + √48 i

                             z = 3 + 4√3 i       (2)

Which is equal to the general equation. Now comparing equation (1) and (2) we get

            a = 3 and b = 4√3

Hence the value are :  a = 3 and b = 4√3.

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Money is borrowed at 9% simple interest. After one year $615.85 pays off the loan. How much was originally borrowed?

Answers

Given the total amount paid off and the interest, the original amount borrowed within the given period of time is $565.00

How much was the original amount borrowed?

Simple interest is simply a method to determine the amount of interest charged on a sum at a given rate and for a given period of time.

It can be expressed as;

A = P( 1 + rt )

Given the data in the question;

Annual interest rate r = 9% = 9/100 = 0.09Total amount A = $615.85 Time period t = 1 yearsPrincipal P = ?

To determine the initial amount borrowed, plug the given values into the equation and solve for P.

A = P( 1 + rt )

615.85  = P( 1 + ( 0.09 × 1 ) )

615.85  = P( 1 + 0.09 )

615.85  = P( 1.09 )

P = 615.85 / 1.09

P = $565.00

Given the total amount paid off and the interest, the original amount borrowed within the given period of time is $565.00

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Jillian baked 2 batches of cookies in 3/4 of an hour. How many batches of cookies would she cook in 1 hour? show ur work

Answers

Answer:

2 batches:1/4 which is 25 min. so 1 batch would be half of that. So just divide 25 by 2, which would get you 12.5 12 minutes, and 30 seconds. Hope this helped~ is 1/2 because for 2 is 1/4 and for the half of 1/4 is 1/2 and if u add 1/2 and 1/2 it equals 1/4 so the answer is 1/2 Incorrect.

Step-by-step explanation:

you couldn't do this on ur own?


Angular kinetic energy, E, is the kinetic energy created by the rotation of an object and is described by the formula
E=Iw², where w is the angular velocity and I is the moment of inertia around the axis of rotation. What is the
formula solved for I?

Answers

The moment of inertia (I) solved for, from the angular kinetic energy formula is I = 2E/w².

What is the angular kinetic energy formula solved for I?

Angular kinetic which is also referred to as  rotational energy is simply the kinetic energy due to the rotation of an object.

It is expressed mathematically as;

E = (1/2)Iw²

To solve for I, we first reorder the equation to bring the term containing I to the left side.

E = (1/2)Iw²

(1/2)Iw² = E

Multiply both sides by 2

2 × (1/2)Iw² = 2 × E

Iw² = 2 × E

Iw² = 2E

Now, divide both sides by the question of I.

Iw²/w² = 2E/w²

I = 2E/w²

Therefore, the moment of inertia (I) solved for, from the angular kinetic energy formula is I = 2E/w².

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Joey is one year older than twice is brother Mark's age. Mark is M years old. What expression below can be used to find Joey's age ?​

Answers

Answer:2M+1

Step-by-step explanation: The 2 would be used to double Mark's age since the question says Joey is twice Marks age. The +1 is used to add one more year after multiplying Mark's age by 2 since the question says Joey is one year older. For example if Mark's age is 2 then plug it into the equation 2(2)+1 which would make Joey's age 5. Because the 2 would double the M in this case 2 and then add a 1 to his age after because of order of operations.

Starting on Monday, March 29, 2010, Sunny writes down the solution to four new math problems each day; she writes each solution on a separate piece of paper and then files the papers away in her binder. On Saturdays, however, she always manages to misplace three of the problems she worked that day. How many weeks after starting to solve math problems will Sunny have at least 827 solutions in her notebook at 11:59 PM on a Sunday night?

Answers

Finding the number of problems per week,

For six days, 4 problems per day -> 24 solutionsSaturday: 1 solution

So, she solves 25 problems per week.

If we let the number of weeks be x,

[tex]25x \geq 827 \\ \\ x \geq 827/25 \\ \\ \therefore \lceil x \rceil=\boxed{34}[/tex]

If y varies directly with x and y is 37.4 when x is 17, what is the value of x when y is 13.2?

Answers

Answer:

6

Step-by-step explanation:

We have y ∝ x which is another way of saying y varies directly with x

We can rewrite the direct proportion relation y ∝ x as y = k.x where k is a constant - the constant of proportionality

So y = kx or x = y/k

using y and x values know, we can solve for k and then solve for any x given y

We have

y = 37.4 =  k (17)

Therefore k = (37.4/17) = 2.2

To find x given y = 13.2, use the second equation
x = y/k = 13.2 / 2.2 =  6

The sum of -12 and -8 divided by the product of 4 and -5

Answers

Answer is -1

Step by step

We know
Sum = add
-12 and -8
Divided by /
Product = multiply
4 x 5

Equation is (-12) + (-8) / 4 x 5

-20 / 20 = -1

Can y’all please help me

Answers

Answer:

a+(-c); b; c-(-b)

Step-by-step explanation:

a = -1

b = 2

c = 3

Now we'll solve for each equation

b = 2

a + (-c) = -1 + (-3) = -4

c - (-b) = 3 - (-2) = 5

Working alone, Cody can dig a 10 ft by 10
ft hole in six hours. Shreya can dig the same
hole in seven hours. If they worked together
how long would it take them?

Answers

You need to add their rates together.

Cody dug a 10ft by 10ft hole in six hours. That’s 1000 cubic ft of dirt in six hours, which means Cody can dig 200 cubic ft an hour.

Shreya dug the same hole in 7 hours, which means that’s 1000 cubic ft of dirt divided by 7, which is roughly 143 cubic ft an hour.

If they worked together (add the amount of dirt they dug together), they would dig around 343 cubic ft of dirt an hour. Now divide 1000 cubic ft by 343, which is equal to around 2.91 or 3 hours.

Answer:

8/30 hr=16 minutes

Step-by-step explanation:

x/5+x/6=1

6x+5x=30

11x=30

x=30/11

x=2 8/30 =2 8/30 hours

Given the following functions, find and simplify (f+g)(x).
f(x) = -3x²+x-3
g(x) = x+3

Answers

Answer: x(-3x+2)

Step-by-step explanation: (f+g)(x) is basically adding the two functions together.

[tex]-3x^{2} + x - 3 + x + 3\\-3x^{2} +2x\\x(-3x+2)[/tex]

Frist step:

Add both functions

Second step:
Combine like terms

Third step:

factor out the x to completely simplify

ANSWER QUICK

What is the equation of a horizontal line that passes through the point (-2, 5)?

x = -2


y = -2


x = 5


y = 5

Answers

Answer:

y=5

Brainliest, please :)

A person who is 1.9 m tall may appear to be 1.8m tall in about one metre away. What is the percentage error made in estimating the main height?​

Answers

95% is the percentage error in estimating the main height.

What do we mean by percentages?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.The percent sign, "%," is most commonly used, but the abbreviations "pct.", "pct," and occasionally "pc" are also used.A percentage is a number that has no dimensions or units of measurement.Divide the value by the total value and multiply the result by 100 to get the percentage.The formula for calculating the percentage is (value/total value)100%.

So, let the percentage error be x.

Then,

1.9/100 × x = 1.80.019x = 1.8x = 1.8/.019x = 94.73After rounding off: 95%

Therefore, the percentage error is 95%.

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Please help me, I would appreciate it

Answers

Answer:

length= 10 width=5

Step-by-step explanation:

Answer:

It think it is 35

Step-by-step explanation:

Use the situation and diagram below to answer the following. The figure shown to the right is made up of a rectangle and a triangle. 10. Write a formula for the perimeter P in terms of x.​

Answers

Answer:

p = 6x

Step-by-step explanation:

Perimeter is the distance around a figure.

p = 2x + 1/2x +1/2x + 2x + x  if we combine all of the x's we get

p = 6x

`2.5` ft/second.



Write an equation modeling the change in elevation `c` after `s` seconds.

Answers

The following equation represents the elevation change c after s seconds:

                      c = -2.5s

Given,

A mountain climber is moving 2.5 feet per second down a cliff.

Writing an equation to represent the change in elevation after s seconds is necessary.

How do we symbolize ascent and descent?

Elevation denotes upward movement, thus we interpret it as a positive distance

Descent implies a downward motion, thus we interpret it as a negative distance.

Find the rate at which the climber descents.

2.5 ft = 1 second

Find the equation that, in seconds, reflects the descents c.

We have got

2.5 ft = 1 second

So,

s x 2.5 ft = s x 1 seconds

2.5 s ft = s seconds

That means,

We will have a 2.5s distance descending in s seconds.

This can be expressed as an equation:

c = change in elevation

c = - 2.5s

Thus the equation modeling the change in elevation c after s seconds is,

                      c = -2.5s.

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Please help me with this question thanks

Answers

Answer: 4366

Step-by-step explanation:

A die was rolled 60 times. It landed on one—11 times, two—9 times, four—12 times, five—12 times, and six—8 times. What is the empirical probability of rolling a 5?

Answers

A die was rolled 60 times, then the empirical probability of rolled a five = 1/5.

An experiment is repeated a fixed number of times and each repetition is known as a trial. Mathematically, the formula for the experimental probability is defined by; Probability of an Event P(E) = Number of times an event occurs / Total number of trials.

Empirical probability  = [tex]\frac{Number of favorable outcomes in experiment}{Total outcomes}[/tex]

Based on the given conditions,

Die was rolled 60 times.

That is,

Total outcomes = 60

She rolled One—11 times,

Two—9 times,

Four—12 times,

Five—12 times, and

Six—8 times.

But we can use rolling five,

That means, Five—12 times

And Total outcomes = 60

So,

We can write,

Number of favorable outcomes of getting 5 = 12

Then, the experimental probability rolled a five is given by,

= 12/60

= 1/5

Therefore, The empirical of probability of a rolled a five = 1/5.

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Three friends ate at a restaurant. They ordered nachos for $17.95 and jalapeno poppers. Each friend paid $8.94, not including sales tax or tip, which was one third of the total. Determine the cost of the jalapeno poppers.

$26.82
$17.74
$8.87
$5.98

Answers

The cost of the jalapeno poppers is C. $8.87.

How to calculate the cost?

Since each friend paid $8.94, not including sales tax or tip,the total amount paid will be:

= $8.94 × 3

= $26.82

Therefore, the cost of the jalapeno will be:

= $26.82 - $17.95

= $8.87

The correct option is C

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both Randy and Sue were at music lessons on Tuesday May 3rd. sue goes to music lessons every 4 days Randy goes every 5 days. lessons are Monday through Saturday. what is the next day of the week that they will both be at music lessons?​

Answers

The next when Randy and Sue will both have music lessons on Monday May 23rd.

First we will list the multiple of 4 and 5 to solve this question and then we will find the common multiple of them because the two activities will happen again in a number divisible by both 4 and 5.

The multiples of 4 are : 4, 8, 12, 16, 20, ...

The multiples of 5 are : 5, 10, 15, 20, ...

Now we got the common multiple which is 20,

So, The common multiple of 4 and 5 is 20.

That means Randy and Sue will both have music lessons on after 20 days from Tuesday May 3rd.

Hence, Randy and Sue will both have music lessons on Monday May 23rd.

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Essa conta poderia ser feita de várias maneiras. Uma delas é dividir 450 por 3 e depois multiplicar por 5. A resposta para esse problema é 750.

Answers

Step-by-step explanation:

Moço, vc tá na gringa, não na BR

What company has the absolute advantage when it comes to producing phones?
a. Gonzalez and Bros. Inc
b. The G company Inc
c. they both do
d. neither

Answers

(Option a) Gonzalez and Bros . Inc has the absolute advantage when it comes to producing phones.

Absolute advantage theory

Adam Smith, an economist from the 18th century, introduced the idea of absolute advantage in his book The Wealth of Nations to explain how nations might profit from trade by specializing in producing and exporting the things that they can manufacture more successfully than other nations.

On the other hand, low-cost manufactured items are produced and exported by China, Thailand, and Vietnam. These three nations enjoy a distinct advantage as a result of their significantly reduced unit labor costs.

Here, option a Gonzales and Bros. Inc has the absolute advantage when it comes to producing phones.

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Choose one of the following scenarios and write a creative, descriptive piece about your life using the elements you discovered in Part 1 of the project. Scenario 1: Write a letter to a friend in a friendly, conversational way describing your day.Example: Dear Elizabeth, Today I woke up early to help my mother sell fruit at the market. I couldn't find my best blue dress, so I had to wear the old brown dress instead. You know I hate that one! But, you'll never believe who I saw on the way to the market . . . Leonardo da Vinci! Can you believe it? . . . etc. Scenario 2: Write a journal entry in a "Dear Diary" type of format describing your day.Example: Dear Diary, I think this is probably the worst day of my life! I was supposed to start my apprenticeship with Thomas, the blacksmith, but of course, everything that could go wrong today did go wrong. It all began with . . . etc.Be as creative as you can, and don't forget to include each of these elements in your letter or journal entry:what kind of clothing you wearwhat type of education you've hadfamous people whom you knowa recent invention that fascinates you, or maybe twoyour favorite artista book you read recentlyyour favorite musicyour favorite composer In an orchard, there are 15 apple trees, 23 orange trees, and a cherry tree. What is the ratio of apple trees to orange trees? rewrite each fraction A. 5/20B. 9/25C. 6/7 - 2/5 Which of the following pieces of lab equipment would be used to measure volume?Hot plateElectronic balanceTest tubeGraduated cylinder PLS HELP RUNNING OUT OF TIMEThe x-intercept of a line is -5 and the y-intercept of the line is -2. What is the equation of the line?A. y = - 5/2x -5B. y = 2/5x + 2 C. y = 5/2x - 2D. y = -2/5x - 2 Bronco consulting statement of Cash Flows for the Month Ended August 31,Cash flows from (used for) operating activities:Cash received from customersCash paid for expenses and to creditorsNet cash flows used for operating activitiesCash flows from (used for) investing activitiesCash flows from (used for) financing activities:Cash received from issuing common stockCash paid for dividendsNet cash flows from financing activitiesNet increase in cashCash balance, August 1, 20Y1Cash balance, August 31, 20Y1 I=Prt. You borrow $10,000 from the bank at a 8% rate for 5 years. Findthe simple interest you will pay on this loan. The definition for slash. It's important and example Yossi used to have a square garage with 250 ft 2 of floor space. He recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side? This amendment sets terms for congress and discusses if the president were to die. Factor 2x + 8x - 90 completely.O aObOCOd(2x +9)(x - 5)(2x-9)(x - 5)2(x + 9)(x - 5)2(x-9)(x - 5)APlease helppp Can you please help me Determine the slope of the line that contains the given points. C(3,1), D(-2,1) Type an equation for the following pattern. Jasmine received a $140 paycheck from her job at the supermarket today. If she spends $10 every day at Starbucks, in how many days will she have exactly $30 left? Represent and solve this problem by creating a table graph and equation. 1. What are the free-floating spheres called that are found in each of the bacteria cells? Rachel, another one of our lab workers, thinks that some of the compound fell out during the weighing process. would this explain the error in your trial? why equal opportunity is so much harder to achieve than civil liberties? sustitucion de 18-3x=9 prevent you from doing what you desire; the loss of something desired.