Question 2

20 pts

If the domain of the coordinate transformation f(x, y) = (y + 2,- x - 4) is (1,-4), (3,-2), (0.-1), what is

the range?

O (-5,-2), (-7,0).(-4,1)

O (3.0), (5.-2), (2,-3)

0 (0,3), (-2,5),(-3,2)

O (-2,-5), (0, -7), (1, -4)

Answers

Answer 1

Answer:

D. (-2,-5), (0, -7), (1, -4)

Step-by-step explanation:

From Function Theory we must remember that range of a function is the set of images related to elements of the domain. In this case, we must find the image of each of the three elements that forms the domain of [tex]f(x, y) = (y+2, -x-4)[/tex], which are: [tex]A(x,y) = (1, -4)[/tex], [tex]B(x,y) = (3,-2)[/tex] and [tex]C(x,y) = (0,-1)[/tex].

Then we proceed to find all elements of range:

[tex]A(x,y) = (1, -4)[/tex]

[tex]f(1,-4) = (-4+2,-1-4)[/tex]

[tex]f(1,-4) = (-2,-5)[/tex]

[tex]B(x,y) = (3,-2)[/tex]

[tex]f(3,-2) = (-2+2,-3-4)[/tex]

[tex]f(3,-2) = (0,-7)[/tex]

[tex]C(x,y) = (0,-1)[/tex]

[tex]f(0,-1) = (-1+2,0-4)[/tex]

[tex]f(0,-1) = (1,-4)[/tex]

Which corresponds to option D.


Related Questions

Suppose that 28 crayons, of which four are red, are divided randomly among Jack,Marty, Sharon, and Martha (seven each). If Sharon has exactly one red crayon, what is the probability that Marty has the remaining three?

Answers

Answer:

0.0263

Step-by-step explanation:


Which relation is a function?
(8,-4), (8,2), (3, -3), (3, 1), (-1,-1)
(2.0), (4,0), (2, 1), (4, 1), (2, 3)
(2, 1), (4,2), (6,4), (7,5), (8, 6)
(3, 8), (7, 6), (5,5), (4,4), (3, 2)

Answers

3.) (2,1), (4,2), (6,4), (7,5), (8,6)

1. which group weighed the most per item on the scale? how much did it weigh?

which group weighed the least per item on the scale? how much did it weigh?

And also complete the table.

Please help it is due right now ASAP​

Answers

Answer:

cars weighed the most per item and desks the least

A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.

r(x) = 0.05(x^2 + 1)(x - 6)

Consider the graph of function r.

Function r has (blank) and (blank). Based on the instantaneous growth rate, the population decreased (blank) hours and the population increased (blank) hours.

Answers

Answer:

Decreased 4 days-96 hours

Increased 6 days-144 hours

Step-by-step explanation:

In order to solve this you just have to look at the graph and after the start of the experiment which is basically the origin of the graph and as you can see immidiately goes down after the start and it reaches the turning point in the day four which is when the graph starts to go up in the Y axis, so that day it would start the increase, and it increases from day 4 to 10 that would be 6 days, and the decrease would be from the origin to day 4.

Solve the inequality. Graph the solution. -4s<6s +1

Answers

Answer:

Step-by-step explanation:

First solve the inequality by writing it.

-4s < 6s + 1

Now subtract -1 on both sides.

-4s - 1 < 6s

Now add 4s on both sides to combine like terms.

-1 < 10s

Now divide 10 on both sides.

-0.1 < s

Now flip it over properly.

s > -0.1

Hope this helped! <3

Please help me for a TEST review tomorrow!!

Answers

Answer:

Hope you understand my writing!

can i get help plzzzzz

and explain how you got the answer

Answers

Answer:

ok

Step-by-step explanation:

What is the Esquire root of 3?​

Answers

Answer:

1.732

Step-by-step explanation:

.......................

Answer: 1.7321


Explanation: The square root of a number is a value that, when multiplied by itself, gives the number. For 3 , that number is 1.7321 .

I hope you find this helpful.

Sandra sets the cruise control in her car to 67 miles per hour when she goes on road trips. Which equation can be used to find how many hours, h, it will take her to drive m miles at her constant speed?

Answers

Answer:

A. [tex]\frac{m}{65} = h[/tex]  

I hope this helps!

Can you help me please

Answers

It would be 94/2 because bisect is half of the angle and 94 divided by 2 is 47

I needs help how do i shave my ba. lls​

Answers

Answer:

WHAT THE FAWK SRE YOU SAYING AND WRITING

Answer:

truste me dont!

Step-by-step explanation:

The midpoint of AB is M(3,3). If the coordinates of A are (2, -1), what are the

coordinates of B?

Answers

Answer:

(4, 7)

Step-by-step explanation:

Given that:

Midpoint of AB = M(3, 3)

Coordinate of A = (2, - 1)

Let coordinates of B = (x, y)

Recall :

Midpoint of AB = [(Ax + Bx) / 2, (Ay + By) / 2]

Mx = (Ax + Bx) / 2

My = (Ay + By) / 2

Mx = 3

Mx = (Ax + Bx) / 2

3 = (2 + x) / 2

2*3 = 2 + x

6 = 2 + x

6 - 2 = x

4 = x

My = 3

My = (Ay + By) / 2

3 = (-1 + y) / 2

2*3 = - 1 + y

6 = - 1 + y

6 + 1 = y

7 = y

Hence,

B = (4, 7)

what is the product 7/11 and 3/7?​

Answers

Answer:  3/11

Step-by-step explanation:

you must do cross canceling to simplify the expression

then just do multiplication from left to right

7/11 times 3/7 the 7 can be crossed out and turned into a 1

then do 1 times 3 for the numerator then 11 times 1 for the denominator and get you answer 3/11

Show your work:
−15x = 0

Answers

Answer:

Step-by-step explanation:

-15x = x = 0/-15

x = 0

Step-by-step explanation:

-15x=0

-15x/-15=0/-15

x=0

-15(0)=0

Hey! I'm having trouble with this one problem in precalc.
Verify the identity: cot x minus pi divided by two = -tan x

Answers

Answer:

O-O is this highschool stuff sorry couldnt help

Step-by-step explanation:

Mike wanted to purchase a couch for $350.00 and realized the couch was on sale for 25% off. How much would Mike pay for the couch, before taxes, once the discount was applied?
$87.50

$262.50

$349.75

$437.50

Answers

Answer:

87.50

Step-by-step explanation

At a particular university, statistics students miss a mean of 2.1 days of school each semester with a standard deviation of 2.5 days. What is the probability that the mean number of days missed for a random sample of 64 students will be more than 3

Answers

Yesss I get it periodttt poooh

Answer:

0.0018

Step-by-step explanation:

P(z>2.88)=1-0.9980= 0.0018

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts it?

A.
0.09

B.
0.11

C.
0.36

D.
0.44

Answers

In this case you the probabilities can be multiplied similarly to if you flipped a coin twice. .45 * .80 = .36

Answer:

0.36

Step-by-step explanation:

0.45 x 0.80

= 0.36

Travel time data is collected on an arterial. With 30 runs, an average travel time of 152 seconds is computed over the 2.0 miles length, with a computed standard deviation of 17.3 seconds.

Required:
a. Compute 95% confidence bounds on your estimate of the mean.
b. Was it necessary to make any assumption about the shape of the travel-time distribution?

Answers

Answer:

a

 The 95% confidence bounds is  [tex] 145.80 <  \mu <   158.19 [/tex]

b

It was not necessary to make any assumption about the shape of the travel  time distribution

Step-by-step explanation:

From the question we are told that

 The sample size is  n =  30  

  The sample mean  is  [tex]\=x = 152[/tex]

   The standard deviation is  [tex]\sigma = 17.3 \ second[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E =  1.96 *  \frac{17.3 }{\sqrt{30} }[/tex]

=>     [tex]E = 6.19  [/tex]  

Generally 95% confidence bounds  is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>  [tex]152  -6.19 <  \mu <  152  -6.19[/tex]

=> [tex] 145.80 <  \mu <   158.19 [/tex]

This 95% confidence bounds show that there is 95% confidence that the true mean lies within this bound hence there is it was not necessary to make any assumption about the shape of the travel  time distribution

Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary.

Answers

Answer:

The answer is C : $115.54

Step-by-step explanation:

If you add every single items cost together, the total is $109.00

60 + 14 = 74

10 + 25 = 35

74 + 35 = $109

You then caculate what 6% percent of 109 is = $6.54

After that, you add the total and percent together

$6.54 + $109.00  = $115.54

Answer:answer is c

Step-by-step explanation:I took edge 2022

Which equation BEST demonstrates the associative property of multiplication?
(5 + 6) x 7 = 7 x (6 + 5)
(5 x 6) x 7 = 5 x (6 x 7)
5 x 7 = 5 x 7
5 x 7 = 7 x 5

Answers

Answer:

c

Step-by-step explanation:

This is my last question.

Answers

Answer:

NOM and POR

(so so sorry if it's wrong, I tried my best to help you but I had to look up an image of a angle like that but i hope you have a wonderful day, sorry again if i am wrong, i hope i help in a way, in i did not, sorry)


Х
-7
-3
1
5
9
13
-
- 12
yl -28
4
20
36
52
С C
10
>

Answers

34555555555555555555555555555555555555

what is the slope of (-3,4) (-2,0)

Answers

Answer:

m = − 4

Step-by-step explanation:

Use the slope formula to find the slope  m

Hope this helps :)

5,049 +48=105
MD Model with Mathematics A comic store sells two rare
comic books for $1,824. The price of one comic book is
11 times as much as the price of the other.
• 'Write an equation to model the price of the less expensive
comic book. Then find the price.
• Write an equation to model the price of the more expensive
comic book. Then find the price.

Answers

Solution (a) :-

Let the cost of the less expensive comic book be x .

Then :-

[tex]1284 - 11x = x[/tex]

Using this equation , we can find the cost of the less expensive comic book .

Price of the less expensive book :-

[tex]1284 - 11x = x[/tex]

[tex]11x + x = 1284[/tex]

[tex]12x = 1284[/tex]

[tex]x = \frac{1284}{12} [/tex]

[tex]x = 107[/tex]

Cost of the less expensive book is 107 .

Therefore , the epice of the less expensive book = $ 107 .

Solution (b) :-

Cost of the more expensive book = 11x

Which means :-

[tex]1284 - x = 11x[/tex]

[tex]11x + x = 1284[/tex]

[tex]12x = 1284[/tex]

[tex]x = 107[/tex]

[tex]11x = 11 \times 107[/tex]

[tex] = 1177[/tex]

Therefore , the price of the more expensive book = $ 1177 .

You accept a job salary of $36,700. After 6 months you receive a 4% raise. What’s your new salary?

Answers

Answer 25:

Step-by-step explanation:

Five more than Bob’s age is 23. How old is Bob? equation

Answers

Answer:

18 Years Old

Step-by-step explanation:

23 - 5 = 18 Years Old

Hope this helps! <3

Answer:

18 yeara old

Step-by-step explanation:

let Bob's age be 'x'

5 more than Bob's age means

5+x ...is 23

Therefore, 5+x=23

x= 23-5

18

Bob is 18 years old.

Hope it helped.

A bus holds 30 people, and a van holds 10 people. Write an expression that shows the number of people that could fill b buses and v vans?

Answers

Answer:

30b+10v

Step-by-step explanation:

Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.


PART A:The number of hours that makes the equation true is

Options: 24, 27, 29,31,34


PART B:Round your answer to the nearest whole number. The manager's prediction is

Options: equal to, less than, greater than


the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.​

Answers

Answer:

[tex]x = 24[/tex]

24 is less than 35

Step-by-step explanation:

Given

Jacob: 2000x + 3000

Carlos: 3800x - 40000

Solving (a):

To solve (a), we need to equate both expressions;

[tex]3800x - 40000 = 2000x + 3000[/tex]

Collect Like Terms

[tex]3800x - 2000x = 40000 + 3000[/tex]

[tex]1800x = 43000[/tex]

Solve for x

[tex]x = 43000/1800[/tex]

[tex]x = 24[/tex] --- Approximated

Solving (b);

The manager's prediction is 35 hours.

And the actual hours is 24.

By comparison;

24 is less than 35

Given m||n, find the value of x.
t
>m
(x+14)
(9x-8)"

Answers

Answer:

1st one

Step-by-step explanation:

Answer:

1st one

Step-by-step explanation:

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