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

Answers

Answer 1

y=2x+3

to find inverse swap x and y

x=2y+3

x-3=2y

y=(x-3)/2

y=(x/2)-(3/2)

The inverse is f^-1(x)=(x/2)-(3/2)

Hope it helps!


Related Questions

Answer these 10 questions for 30 points. serious answers only or report and low rating​

Answers

Answer:

11. always

12. always

13. always

14. never

15. never

16. always

17. always

18. sometimes

19. sometimes

20. never

Step-by-step explanation:

11. A line can be defined by at least two points

12. A plane can be defined by at least three points

13. If two planes intersect, then they form a line at the intersection.

14. If two lines intersect, then they form a point at the intersection (not a segment).

15. A line does not have any endpoints (infinite in both ways).

16. If two planes are not parallel they will always intersect.

17. If two lines are not parallel they will always intersect.

18. Two points are sometimes collinear. It depends on where they are.

19. Two points are sometimes coplanar. It depends on where they are.

20. Ray MN and NM are not the same ray because the end points are different.

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\texttt{Yes, there's a local maximum at -9,} [/tex] [tex] \texttt{and it is 9} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

By Observing the graph, we can easily conclude that there's a local maxima at -9

[tex] \textsf{And f(-9) = 9} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

hello, please help me match these!

Answers

Answer:

1)x+1

2)x-1

3)x+1,R-1

Step-by-step explanation:

please mark me as brainlest

HELP QUICK PLEASE WILL GOVE BRAINLEOCMWdiowemforewmfo

Answers

Answer:

It's choice G or H

Step-by-step explanation:

The cube and the disc are representative of the variable r and a 1 (a single unit) The question says "Using the representations above..." Hopefully right before this question it tells you (above) which is the variable and which is the single unit.

The left and right sides of the balance are going to represent the left and right sides of the equation, with the = equal sign being the middle.

The 2 on the left side and the 18 on the right side will need to have the same image representing it on both sides (2 on the left, 18 on the right) because they are both numerical values. Then, there should also be one shape on the left that stands for the variable. Without seeing the info that preceded the question, it is either Answer G or Answer H. Edit in the additional info. I will be able to say exactly which one. But I bet you can see it!

Question Content Area
If fixed costs are $281,000, the unit selling price is $33, and the unit variable costs are $21, the break-even sales (units) if fixed costs are reduced by $38,400 is

a.16,173 units
b.20,217 units
c.24,260 units
d.30,325 units

Answers

The correct answer is option b which is the break-even quantity will be 20217 units.

What is the break-even point?

The point at which the company will not have any profit and loss on the products they manufactured they only get the amount they invested in manufacturing the product is called the break-even point.

Given that:-

If fixed costs are $281,000, the unit selling price is $33, and the unit variable costs are $21, the break-even sales (units) if fixed costs are reduced by $38,400.

The formula for calculating break-even quantity will be given as:-

[tex]BEQ = \dfrac{FC}{SP-VC}[/tex]

Here,

FC = Fixed cost = $281000

SP = Selling price = $33

VC = Variable cost = $21

The fixed cost is reduced by $38400 so the fixed cost now:-

FC = $281000 - $38400

FC = $242600

[tex]BEQ = \dfrac{242600}{33-21}[/tex]

BEQ = 20217 units

Therefore the correct answer is option b which is the break-even quantity will be 20217 units.

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What is a value plus 8, in algebraic expression

Answers

The “value” can be substituted with a variable to x and then plus which is addition to 8 so in algebraic expression it’s x+8

15. This year Lucille weighs 106 lb 13 oz. A
year ago she weighed 101 lb 12 oz. How
much has she gained in the year?

Answers

Answer:

5 lbs 1 oz

Step-by-step explanation:

This year Lucille weighs 106 lb 13 oz. A

year ago she weighed 101 lb 12 oz. How

much has she gained in the year?

16oz = 1 lb

13 oz = 13/16 = .8125

12 oz = 12/16 = 3/4 = .75

106.8125 - 101.75

106.8125

-101.7500

---------------

   5.0625 =

5.0625 = 5 1/16

1/16 of a pound is 1oz

5 lbs 1 oz

Leah wants to buy a home for
$380,000, but can only get a loan from the bank for $330,600. What percentage does Leah have to put down in order to pay for the home?

Answers

Leah have to put down 13% of the total money in order to pay for the home.

What is a Home Loan ?

The amount of money a person borrows from a bank to buy a house is termed as Home Loan.

It is given that

Leah wants to buy a home for $380,000

The amount of money he can get from bank is $ 330,600

The amount of money Leah needs to have

= $ 380000 - $ 330600 = $49400

The percentage Leah have to put down in order to pay for the home is

=($49400 /$380000 ) * 100%

= 0.13 * 100 %

= 13%

Therefore Leah have to put down 13% of the total money in order to pay for the home.

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An equation is shown below:

6(3x − 7) = 2

Which of the following correctly shows the beginning steps to solve this equation?


Step 1: 9x − 1 = 2
Step 2: 9x = 3

Step 1: 9x − 7 = 2
Step 2: 9x = 9

Step 1: 18x − 7 = 2
Step 2: 18x = 9

Step 1: 18x − 42 = 2
Step 2: 18x = 44

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex] \texttt{Step 1: 18x − 42 = 2} [/tex]

[tex] \texttt{Step 2: 18x = 44 } [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 6(3x - 7) = 2[/tex]

Step 1 -

[tex]\qquad \tt \rightarrow \: 18x - 42 = 2[/tex]

[ distributive property ]

Step 2 -

[tex]\qquad \tt \rightarrow \: 18x = 2 + 42[/tex]

[tex]\qquad \tt \rightarrow \: 18x = 44[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

d) Step 1: 18x - 42 = 2

Step 2: 18x = 44

Step-by-step explanation:

Given equation,

→ 6(3x - 7) = 2

Now the value of x will be,

→ 6(3x - 7) = 2

→ 6(3x) - 6(7) = 2

→ 18x - 42 = 2

→ 18x = 2 + 42

→ 18x = 44

→ x = 44/18

→ [ x = 22/9 ]

Hence, value of x is 22/9.

A retailer purchases postcards for $0.50 and sells them for $0.70. What is the markup?

Answers

0.70 -0.50 = 0.20 cent mark up


0.20/0.50 = 0.40 = 40% markup

Help me PLEASEEE!!! ASAP

Answers

V=14.4 is the answer to ur question my friend

can someone please help me

Answers

Part 1

f(2) represents the value of y when x=2, which is 3

Part 2

We need to find the value of x that makes y=2, which is -1

12, 3.1.52

If f(x) = x and g(x) = 2x³, find f[g(x)], and g[f(x)]

Answers

Given that [tex]f(x) = x[/tex] and [tex]g(x) = 2x^3[/tex], we have

[tex]f(g(x)) = f(2x^3) = 2x^3[/tex]

and

[tex]g(f(x)) = g(x) = 2x^3[/tex]

Janet is fencing a triangular portion of her yard, which has measurements as shown. She needs fencing for the two sides of the yard that do not include the house. She also needs fencing for the third side of the yard, except for the portion taken up by the house.

The picture shows a rectangle touching the base of a triangle. The width of a rectangle is 100 ft. The angle of the left and right vertex of a triangle is 45 degrees. The length of the left line of a triangle is 100 ft. marked as a house

What is the approximate length of fencing she needs?
A.
441 ft
B.
273 ft
C.
341 ft
D.
241 ft

Answers

The approximate length of fencing she needs will be 41.42 feet. Then the correct option is D.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Janet is fencing a triangular portion of her yard, which has measurements as shown.

She postulates fencing for the two sides of the yard that do not include the house.

She also requires fencing for the third side of the yard, except for the portion taken up by the house.

Then the approximate length of fencing she needs will be

Let x be the length of fencing.

Then we have

⇒ x + 100 + 100

Then we have

x = c – 100

Then the value of c is given by the Pythagoras theorem. Then we have

c² = 100² + 100²

c² = 10000 + 10000

c² = 20000

c = 141.42 ft

Then the value of x will be

x = 141.42 – 100

x = 41.2 feet ≈ 41 feet

Then we have

⇒ 41 + 100 + 100

⇒ 241

Then the correct option is D.

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The function G is defined by g (X) =X^2+2

Find g(4n)

Answers

Answer:

the answer is 4gn Puig IT in

I need this asap. Would appreciate for y’all help

Answers

Answer:

-3/2, -1

Step-by-step explanation:

Each coordinate contains one [tex]x[/tex] value and one [tex]y[/tex] value, [tex](x,y)[/tex].

If we work out the midpoint of each of these individually, it makes it much easier to find the midpoint of the line.

Let's take the [tex]x[/tex] values first. Our first  [tex]x[/tex] value is -4 and our second [tex]x[/tex] value is 1. Imagine the integers between -4 and 1 laid out in a sequence:

[tex]-4, -3, -2, -1, 0, 1[/tex]

If you take the middle value of this sequence, you get the midpoint of the [tex]x[/tex] values.

In this case, the middle is between values -2 and -1, leaving us with a midpoint of -1.5. This as a fraction is [tex]-\frac{3}{2}[/tex].

Now let's look at the [tex]y[/tex] values. Our first [tex]y[/tex] value is 2 and our second [tex]y[/tex] value is -4. Again, let's imagine those numbers laid out in a sequence:

[tex]2, 1, 0, -1, -2, -3, -4[/tex]

Here, the middle of these values is -1, and this is the midpoint of the [tex]y[/tex] values.

So if we put these two values in a coordinate, we get the midpoint of the line.

In this case, we get [tex](-\frac{3}{2} ,-1)[/tex].

What is the length of the line?

Answers

6cm or (6,1)

If ur talking about vectors It’s (6,1)

d) Suppose you pick one marble from the bag at random. Find the expected value of its number.

(c) Suppose you pick 9 marbles from the bag at random with replacement. Find the probability that you pick at least one purple marble.

Answers

C) The probability that you pick at least one purple marble is 98%.

Probability

The question is incomplete, since the number of marbles of each color in the bag is missing: 3 blue, 5 green, and 2 purple marbles.

Now, to answer the questions, the following calculations must be done:

C) 100 - (2/9x9) = X100 - 2 = X98 = X

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Answer:C) The probability that you pick at least one purple marble is 98%.

Step-by-step explanation:

A paramedic maintains a time card for hours she works on the rescue squad. How many hours did she work per week ?

Answers

39 hours;  she works per week if the paramedic maintains a time card for hours she works on the rescue squad.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

A paramedic maintains a time card for the hours she works on the rescue squad shown in the table:

We can write a mixed fraction in a fraction:

6 1/2 = 13/2

8 1/2  = 33/2

7 3/4 = 31/4

8 1/12 = 97/12

8 5/12 = 101/12

Adding all the fractions:

[tex]=\rm \dfrac{13}{2}+\dfrac{33}{4}+\dfrac{31}{4}+\dfrac{97}{12}+\dfrac{101}{12}[/tex]

[tex]=\dfrac{13}{2}+\dfrac{64}{4}+\dfrac{97}{12}+\dfrac{101}{12}[/tex]

[tex]=\dfrac{13}{2}+\dfrac{64}{4}+\dfrac{198}{12}[/tex]

[tex]=\dfrac{13}{2}+\dfrac{64}{4}+\dfrac{33}{2}[/tex]

[tex]=23+\dfrac{64}{4}[/tex]

= 39 hours

Thus, 39 hours;  she works per week if the paramedic maintains a time card for hours she works on the rescue squad.

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you loaned a friend $100 and will charge him 5% annual simple interest when he pay it back

Answers

The amount of interest after 3 years will be $15.

The complete question is given below.

You loaned a friend $100 and will charge him 5% annual simple interest when he pay it back. What is the amount of interest after 3 years?

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The interest is given as

I = (P × R × T) / 100

Where, P is the initial amount, R is simple interest rate, and T is the time.

We have

P = $100

R = 5%

T = 3 years

Then the interest will be

I = (100 × 5 × 3) / 100

I = $15

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Find all (a, b, c, d) in R4
such that the given set is orthogonal.

{(1, 2, 1, 0), (1, −1, 1, 3), (2, −1, 0, 1), (a, b, c, d)}

Answers

Answer:

[tex]\left[\begin{array}{}0&\\1&\\-2&\\1&\end{array}\right][/tex]  t in R   Correct option (B)

Step-by-step explanation:

Orthogonal vectors : We say that 2 vectors are orthogonal if they are perpendicular to each other. i.e. the dot product of the two vectors is zero.

Dot product : The dot product of two vectors is equal to the sum of the products of the individual components of the two vectors.

for the given vector (a, b, c, d) to be orthogonal its dot product with each vector must be 0

therefore (1, 2, 1, 0).(a, b, c, d) = 0

                        a + 2b+ c+ 0    = 0    -------- (i)

similarly   (1, -1, 1, 3 ).(a, b, c, d) = 0

                        a - b + c + 3d    = 0   -------- (ii)

                 (2, -1, 0, 1).(a, b, c, d) = 0

                        2a - b + 0 + d   = 0 ---------- (iii)

subtracting equation (i) from (ii)

a - b + c + 3d - a - 2b - c - 0 = 0

                               -3b + 3d = 0

                                           b = d

substituting  b = d in (iii)

                       2a + b + 0 + b = 0

                                 2a + 2b = 0

                                           a = 0

substituting a = 0 , b = d in (i)

                       0 + 2d + c + 0 = 0

                                          c   = -2d

thus for any t ∈ R, vector(0, t, -2t, t)  will make the given set orthogonal

the above vector can also be written as (0, 1, -2, 1)

therefor option B is correct

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5.7y-5.2=y/2.5 how to solve

Answers

5.7y-5.2=y/2.5

Add 5.2 to both sides:

5.7y = y/2.5 + 5.2

y/2.5 = 0.4y

5.7y = 0.4y + 5.2

Subtract 0.4y from both sides:

5.3y = 5.2

Divide both sides by 5.3:

y = 5.2/5.3

y = 0.98113

Answer:

y = 0.981

Step-by-step explanation:

Given expression:

5.7y-5.2=y/2.5

Solution:

5.7y-5.2=0.4y

Subtract 0.4y from both sides:

5.7y-5.2-0.4y=0.4y-0.4y5.3y - 5.2 = 0

Add 5.2 to both sides:

5.3y-5.2+5.2 = 0+5.25.3y = 5.2

Divide both sides by 5.3:

[tex] \cfrac{5.3y}{5.3} = \cfrac{5.2}{5.3} [/tex][tex]y = 0.981[/tex]

Hence, y = 0.981.

For the inverse variation equation p = 8/v , what is the value of V when p = 1/2?

Answers

Substituting in p = 1/2,

[tex]\frac{1}{2}=\frac{8}{v}\\ \\ v=\boxed{16}[/tex]

A graph titled Janelle's Trip Home. The horizontal axis shows time (minutes) and the vertical axis shows distance from her home (miles). The line shows a decrease as time increases, a constant as time increases, and then another decrease as time continues.
Based on the graph, which statement could describe Janelle’s trip home from school?

Janelle waited for the bus, rode the bus, and then walked home.
Janelle walked the opposite direction from home to the library, rode the bus, and then walked to a friend’s house.
Janelle walked home at a constant speed.
Janelle rode the bus to the bus stop, talked with a friend, and then walked home.

Answers

Janelle rode the bus to the bus stop, talked with a friend, and then walked home ,  Option D is the correct answer.

The missing graph is attached with the answer.

What is a Time -Distance Graph ?

A graph which shows change in distance with respect to time is called Time- Distance Graph.

It is used to calculate velocity.

As in the graph we it can be seen that , The distance is decreasing at a constant speed ,

then the distance becomes constant with time

and then again decreases but with a lower rate

This means

Janelle rode the bus to the bus stop (distance to time rate is high)

talked with a friend (distance is constant with time)

and then walked home. (distance to time rate is low)

Therefore Option D is the correct answer.

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Answer:

Janelle rode the bus to the bus stop, talked with a friend, and then walked home.

Step-by-step explanation:

Neil started a stamp collection with 12 stamps. Every week, he adds 4 more stamps to the collection. Which function f represents the relationship between the number of stamps (s) and the number of weeks (w)?
A.
s = f(w) = 12 + 4w
B.
w = f(s) = 12s + 4
C.
s = f(w) = 12 + 4s
D.
w = f(s) = 12w + s
E.
s = f(w) = s – 12

Answers

The function s = f(w) = 12 + 4w represents the relationship between the number of stamps (s) and the number of weeks (w) option (A) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Neil started a stamp collection with 12 stamps. Every week, he adds 4 more stamps to the collection.

The number of stamps is s and the number of weeks is w.

s = f(w) = 12 + 4w

Because Every week, he adds 4 more stamps to the collection

Thus, the function s = f(w) = 12 + 4w represents the relationship between the number of stamps (s) and the number of weeks (w) option (A) is correct.

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Which expression is equivalent to...​

Answers

Step-by-step explanation:

hope you can understand

Calcula el valor del lado "c" en el triángulo
rectángulo, que se proporciona en la figura;
aplicando las funciones trigonométricas:

Answers

Usando relaciones en un triángulo rectángulo, se encuentra que el valor del lado c es c = 35.5 unidades.

¿Cuáles son las relaciones en un triángulo rectángulo?

Las relaciones en un triángulo rectángulo se dan de la siguiente manera:

El seno de un ángulo está dado por la longitud del lado opuesto al ángulo dividida por la longitud de la hipotenusa.El coseno de un ángulo está dado por la longitud del lado adyacente al ángulo dividido por la longitud de la hipotenusa.La tangente de un ángulo está dada por la longitud del lado opuesto al ángulo dividida por la longitud del lado adyacente al ángulo.

El lado opuesto de el ángulo de 26º48' = 26.8º es de 16, de esa forma, puede-se encontrar el lado c de la siguiente manera:

[tex]\sin{(26.8^\circ)} = \frac{16}{c}[/tex]

[tex]c = \frac{16}{\sin{(26.8^\circ)}}[/tex]

c = 35.5º.

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In a recent international sport competition the top three countries country A country B and country C won a total of 120 medals. country B won 11 more medals than country C .country A won 38 more medals than the total amount won by the other two . how many medals did each of the top three countries won.

Answers

An equation is formed of two equal expressions. The medals won by country A, country B, and country C is 79, 26, and 11, respectively.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of medals won by country A, country B, and country C be represented by A, B, and C, respectively. Now, the given conditions can be written as,

1.) The top three countries country A, country B, and country C won a total of 120 medals.

A + B + C = 120

2.) Country B won 11 more medals than country C

B = C + 11

3.) Country A won 38 more medals than the total amount won by the other two.

A = B + C + 38

A - 38 = B + C

Substitute the value of B+C form the last equation to the first equation,

A + A - 38 = 120

A = 79

Now, Substitue the value of A and B(from second equation)  in the first equation,

79 + C + 11 + C = 120

C = 15

Now, substitute the value of C in the second equation,

B = C + 11

B = 15 + 11

B = 26

Hence, the medals won by country A, country B, and country C is 79, 26, and 11, respectively.

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pls help how do i solve for x in this equation??

Answers

Answer:

x = -2

Step-by-step explanation:

1. Square both sides
x^2 +3x + 6 = x^2
2. Subtract x^2 from both sides
3x + 6 = 0
3. Subtract 6 from both sides and divide by 3
x = -2

Galaxy Star Corporation purchased goods for $100,000 from Sunrise
Materials. Galaxy Star Corporation can avail a discount of 2.5% if the
payment is made within 20 days. However, the full payment will be made
if the payment is made after 20 days.
If Galaxy Star Corporation pays within 20 days, which of the
following entries will it pass?

Answers

The entry that it will pass on the accounting book based on the information about Galaxy Star Corporation is the credit sales.

What is a credit sale?

It should be noted that credit sales are the sales where the amount that is owed will be paid at alter date.

From the information given, we were informed that the payment will be made after 20 days. Therefore, the appropriate entry will be in town credit sales.

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What kind of eclipse occurred at the beginning of the week, bringing a colorful sight to stargazers in the americas, africa, europe, and parts of asia?. Which option best describes the term charicatureA.intended meaning that differs from the literal meaning B.exaggerating features of the object of ones satireC.dramatic effect in a playD.following an idea to a ridiculous extreme Question 2 A data analyst uses the Color tool in Tableau to apply a color scheme to a data visualization. In order to make the visualization accessible for people with color vision deficiencies, what should they do next If f(x) = 3x + 10 and g(x) = 2x - 4, find (f- g)(x). What position at a hotel assists guests with a number of different tasks, including booking tickets for them, gathering information about local attractions, and handling VIP messages? recreation manager executive housekeeper concierge creative directorI'm timed! When Mr. Lindner drops by the Younger household, he...Select one:a. threatens the family.b. offers to buy the house back at a higher price.c. welcomes them to the neighborhood.d. says they didn't qualify for the loan.e. says a racist group will burn crosses in their yard. In a _________________________ economy, the individuals and the government share in the economic decision-making process. These groups work togther to ensure economic development. Which of the following would be poor email etiquette when Jamal responds to an email from his program director?Oa. Uses appropriate grammarOb. Does not attach any filesOc. Answers within 12 hoursOd. Writes in all capital letters Give me the hardest math equation you know and solve it(Beware, if you joke and waste the points, I will not be very happy!) Match each word with the phrase that best defines it.privatizedemographicsmodernizeincorporateto begin to use the newest technologyor knowledgethe statistical makeup of a populationgroup and its growth rateto include or uniteto change from governmentownership to individual ownership What is one prospective origin for arthurian myth?. THIS SECTION TESTS YOUR ABILITTY TO IDENTIFY THE APPROPRIATE ORDER OF A PARAGRAPH.95. Jeannie calls MR Parkers Radio Program because she has a problem: My aunt has become a widow. She doesnt drive, so shes bought herself a bicycle, but she is 71! She is my favorite aunt and I think she should do something less energetic. What do you think?Mr. Parker says to Jeannie:1. Its better for her to ride a bike than to spend her days slumped in front of the TV2. Or why dont you suggest that she trains slowly3. How about buying a bike yourself and going with her?4. And not ride the bicycle for a long period of time? 1,2,3,4 3,2,4,1 1,2,4,3 3,1,2,4 A circle of radius 1 is inscribed within a square. What is the probability that a randomly-selected point with the square is also within the circle? A ball is dropped from rest from the top of a high building. Ignore air resistance and take g = 9,8 m/s calculate speed of the ball after 1sec. Large eggs weigh 1/1/2 pounds per dozen. Dawn bought eight large eggs. How much did the eggs weigh Solve the following subtraction problem. Remember to borrow as necessary.9cu yd113cu in 4cu ft129cu in A change in speed and direction of the wind at different altitudes in the samecolumn of air is called______________. (2 words) Assignment: 11.01 Differences Between Genres: Saving Money please write an essay how many beats does the rest picture below have? In recent years, people have been motivated to move from rural areas to urban areas for __________. a. greater agricultural opportunities b. jobs and other opportunities c. less expensive housing d. more land and resources please select the best answer from the choices provided. a b c d