Question 5 of 10 What is the domain of the function in this table? х y 1 2 2 6 3 10 4 14 O A. (1,2,3,4) B. (1.2).(2.6), (3,10), (4,14) O C. (1.2) O D. (2,6,10,14)​

[tex]\large\underline{\sf{Solution-}}[/tex]

First equation is

[tex]\rm \longmapsto\:(x - a)(y - b) = (x - 2a)\bigg(y -\dfrac{b}{2}\bigg) [/tex]

can be further simplified to

[tex]\rm \longmapsto\:xy - bx - ay + ab = xy - \dfrac{bx}{2} - 2ay + ab[/tex]

[tex]\rm \longmapsto\: - bx - ay = - \dfrac{bx}{2} - 2ay [/tex]

[tex]\rm \longmapsto\: - bx + \dfrac{bx}{2} = - 2ay + ay[/tex]

[tex]\rm \longmapsto\: - \dfrac{bx}{2} = - ay[/tex]

[tex]\rm \longmapsto\: \dfrac{bx}{2} = ay[/tex]

[tex]\rm \longmapsto\:bx = 2ay[/tex]

[tex]\rm:\longmapsto \:\boxed{\tt{ bx - 2ay = 0}} - - - - (1)[/tex]

Second equation is

[tex]\rm \longmapsto\:x\bigg(x + \dfrac{1}{2b} \bigg) + y \bigg(y + \dfrac{a}{2}\bigg) - 2xy = 5 + {(x - y)}^{2} [/tex]

[tex]\rm \longmapsto\: {x}^{2} + \dfrac{x}{2b} + {y}^{2} + \dfrac{ay}{2} - 2xy = 5 + {x}^{2} + {y}^{2} - 2xy[/tex]

[tex]\rm \longmapsto\: \dfrac{x}{2b} + \dfrac{ay}{2} = 5[/tex]

[tex]\rm \longmapsto\: \dfrac{x + aby}{2b} = 5[/tex]

[tex]\rm :\longmapsto\:\boxed{\tt{ x + aby = 10b}} - - - (2)[/tex]

So, we have two equations in simplest form as

[tex]\rm \longmapsto\:bx - 2ay = 0 [/tex]

and

[tex]\rm \longmapsto\:x + aby = 10b[/tex]

Now, Consider

[tex]\rm \longmapsto\:\dfrac{a_1}{a_2} = \dfrac{b}{1} = b[/tex]

[tex]\rm \longmapsto\:\dfrac{b_1}{b_2} = \dfrac{ - 2a}{ab} = - \dfrac{2}{b} [/tex]

[tex]\bf\implies \:\dfrac{a_1}{a_2} \: \ne \: \dfrac{b_1}{b_2} [/tex]

This implies, System of equations is consistent having unique solution.

So, The student is correct as lines are intersecting.

So, option (b) is correct.

Answer:

5/288

Step-by-step explanation:

Answer:

San francisco

Step-by-step explanation:

once you divide the distance by time then multiply the answer by the longest amount of time (aka 4)

San francisco = 2556

Minot = 1826

Phoenix = 2252

Answer:

$166.66

Step-by-step explanation:

if 6 items =$1000

1 item= ?

1item×$1000/6items

=$166.66

Answer:

Step-by-step explanation:

Use the ratio below:

Solve for x:

Step-by-step explanation:

[tex]\sf\longmapsto \: \$ 17 = 3 \: hours[/tex]

[tex]\sf\longmapsto \: \$ 1 = x[/tex]

Now, Solve x–

[tex]\sf\longmapsto17x = 3[/tex]

[tex]\sf\longmapsto \: x = \frac{3}{17} \: hours \: per \: dollar[/tex]

Therefore,for 3/17 hours of bike a customer get per dollar.

Answer:

-31

Step-by-step explanation:

1. Simplify 4+2 to 6

5-6^2

2.Simplify 6^2 to 36

5-36

3.Simplify

-31

Hope this helps :)

5 - (4+2)^2

add what is inside of the parentheses

4 + 2 = 6

then do the exponent, which would be 6 times itself

5 - 6^2

6(6)

then subtract 36 from 5, which gives the answer of -31.

5 - 36 = -31

the answer is -31, hope this helps!

Answer:

25/2

Step-by-step explanation:

5/6 x 15=12.5

12.5 in simplest form is 25/2

Answer:

62.24

Step-by-step explanation:

The predicted temperature after 3 minutes will be 62.24 °C. Then the correct option is B.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

A cup of coffee's temperature was measured over a 30-minute period in degrees Celsius.

Let T be the temperature and t be the time. Then the regression equation is given as,

ln T = 4.20 - 0.023 t

Then predicted temperature after 3 minutes is given as,

ln T = 4.20 - 0.023 x 3

ln T = 4.20 - 0.069

ln T = 4.131

T = 62.24 °C

The predicted temperature after 3 minutes will be 62.24 °C. Then the correct option is B.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ5

Answer:

Use the trend line to predict the number of Umbrellas sold in a month, if there were 10 rainy days. Draw the vertical line from 10 on the horizontal axis to the trend line. Then, draw horizontal line to the vertical axis from the trend line as shown below. Number of Umbrellas sold in the month is about 9, if there were 10 rainy days.

164449 avatar

I searched your answer and this came up, I'd answer but it wont let me sadly, but hopefully this will help??

Step-by-step explanation:

Answer:

shorter piece = 6. longer piece = 12

Step-by-step explanation:

short piece = s

long piece = l

l+s= 18

l= 6+s , substitute

6+s+s = 18

6+2s= 18

2s= 18-6

2s= 12

s=12/2

s= 6= shorter piece

l= 6+s

l= 6+6= 12 = longer piece

Answer:

110º

Step-by-step explanation:

a triangle has 180º total

so 180-35-35

110

the missing angle in the traingle on top is congruent to angle b

Using the normal distribution, it is found that:

a) 0.8599 = 85.99% probability that x is more than 60.

b) 0.1788 = 17.88% probability that x is less than 110.

c) 0.6811 = 68.11% probability that x is between 60 and 110.

d) 0.0643 = 6.43% probability that x is greater than 125.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

This probability is 1 subtracted by the p-value of Z when X = 60, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 87}{25}[/tex]

[tex]Z = -1.08[/tex]

[tex]Z = -1.08[/tex] has a p-value of 0.1401.

1 - 0.1401 = 0.8599

0.8599 = 85.99% probability that x is more than 60.

Item b:

This probability is the p-value of Z when X = 110, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{110 - 87}{25}[/tex]

[tex]Z = 0.92[/tex]

[tex]Z = 0.92[/tex] has a p-value of 0.8212.

1 - 0.8212 = 0.1788.

0.1788 = 17.88% probability that x is less than 110.

Item c:

This probability is the p-value of Z when X = 110 subtracted by the p-value of Z when X = 60.

From the previous two items, 0.8212 - 0.1401 = 0.6811.

0.6811 = 68.11% probability that x is between 60 and 110.

Item d:

This probability is 1 subtracted by the p-value of Z when X = 125, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{125 - 87}{25}[/tex]

[tex]Z = 1.52[/tex]

[tex]Z = 1.52[/tex] has a p-value of 0.9357.

1 - 0.9357 = 0.0643.

0.0643 = 6.43% probability that x is greater than 125.

A similar problem is given at https://brainly.com/question/24863330

Lotion - liquid

Suspension- semisolid

Capsule- Solid

Hope this helps :)

Usando un sistema de ecuaciones, hay que se elaboraron 6 títulos y 16 actas.

Para el sistema, hay que:

Total de 22 operaciones, o sea:

[tex]x + y = 22[/tex]

$3500 por elaborar un título de propiedad y $2000 por el acta constitutiva de una empresa. Ingreso total de $53000, o sea:

[tex]3500x + 2000y = 53000[/tex]

De el primer ecuación:

[tex]y = 22 - x[/tex]

Reemplazando en la segunda:

[tex]3500x + 2000y = 53000[/tex]

[tex]3500x + 2000(22 - x) = 53000[/tex]

[tex]1500x = 9000[/tex]

[tex]x = \frac{9000}{1500}[/tex]

[tex]x = 6[/tex]

[tex]y = 22 - x = 22 - 6 = 16[/tex]

Se elaboraron 6 títulos y 16 actas.

Un problema similar es dado en https://brainly.com/question/24646137

Answer:

I do lol

Step-by-step explanation:

Answer:

why would you wanna do someone's homework on Math and English?

Step-by-step explanation:

they wouldn't learn anything if they make you do their homework, besides what's the point of the homework if they don't learn anything? I know homework's are hard, but they give it for you to understand more of the lesson.

and you will also make yourself tired doing someone's homework what about your responsibilities?

It'll be only beneficial for you but not for them yeah you'll get money but its best if you let them do their homework. I mean homework's aren't that bad.

They just think they can't do it cause their lazy, and they think they wouldn't know the answer. Besides they can't just lay around all day because they paid you for doing their homework, they won't even know if your scamming them.

Answer:

it is a answer

Step-by-step explanation:

Answer:

Have a splendiferous day...

Step-by-step explanation:

3÷12=¼

6÷10=⅗

7÷14=½

10÷11=⅚

2÷4=½

4÷16=¼

3÷24=⅛

18÷54=⅓

Answer:

1) 3÷12=[tex]\frac{1}{4}[/tex]

2) 6÷10=[tex]\frac{3}{5}[/tex]

3) 7÷14=[tex]\frac{1}{2}[/tex]

4) 10÷12=[tex]\frac{5}{6}[/tex]

5) 2÷4=[tex]\frac{1}{2}[/tex]

6) 4÷16=[tex]\frac{1}4[/tex]

7) 3÷24=[tex]\frac{1}{8}[/tex]

8) 18÷54=[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Hope this helps have a great day ahead! Have a great Halloween :) Tell me if im wrong please <3

Answer:

Well it's because they want children to click there links for either tracking IP address's or just using it to bring you to another site.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

1. m/3+4-4=7-4

2. m/3=3

3. m/3*3 = 3*3

4. m=9

Answer:

m=9

Step-by-step explanation:

m/3+4-4=7-4

m/3=3

m/3*3=3*3

m=9

Answer:

y = x/4 + 1

Step-by-step explanation:

x - 4y = -4

x + 4 = 4y

y = x/4 + 1

Answer:

1

Step-by-step explanation:

change to y=mx+b -> 4y=-x+4

divide 4 one the right side

y=4x+1

put zero one place of x

y=4(0)+1

y=0+1

y=1

9514 1404 393

Answer:

  y = x² -6

Step-by-step explanation:

It helps to remember what the coordinates of a point on a graph mean.

  (x, y) ⇒ the point is x units right of the y-axis, and y units up from the x-axis

If we subtract 6 from the y-value, the point will move down on the graph by 6 units.

__

The red graph is shifted down 6 units from the original black graph. Every (original) y-value has 6 subtracted from it. The original points are described by ...

  (x, y) = (x, x²)

When we subtract 6 from the y-value, the points become ...

  (x, x² -6)

That is, the new (shifted) value of y is ...

  y = x² -6

Answer:

EGFB

Step-by-step explanation:

To find the lengths of PQ and RS, we can use the Pythagorean Theorem, becasue both triangles have right angles. Base x height equals the area of the rectangle, and base x height divided by 2 gets us the height of the triangle. Thus:

1. 233 meters

2. 21, 840 square meters

3. 241.87 meters

4. 12, 600 meters

Hope this helps.

Answer:N(5)=1.5

Step-by-step explanation:The independent variable x represents the Number of hours driven and the dependent variable is the gallons of gas remaining, because the gallons of gas remaining depends on the number of hours driven.

A function relating these variables is Nx=14-2.5

So N(5)=1.5 meaning 5 hours of driving will result in 1.5 gallons left in the tank.

Answer:

3.0 E35

Step-by-step explanation:

Thanks.

Answer:

She pays 11.40 for the roast

Find unit rate then multiply

Step-by-step explanation:

please send your teacher some nice greetings from me, as this problem description is very incomplete.

we have to guess and assume a few things.

I assume that for both people there is a function describing how many objects (x and y) are sewn after a given amount of time (t).

and we are only looking at a single work day. and not a week or a year.

so,

x = Taylor(t)

y = Thomas(t)

remember that the domain is the interval or set of valid values for the input variable (the argument of the function). in our case here this is t.

and the range is the interval or set of valid values for the output variable (x and y).

so, the domain for Taylor is the interval of valid work time

[0, 8] in hours. we could also define it in minutes to not get confused, and that would be [0, 480] in minutes.

Taylor's range is then (as he can do 6 per hour = 1 every 10 minutes)

[0, 8×6] or [0, 480/10] = [0, 48].

the domain for Thomas is his valid work time [0, 10] in hours or [0,600] in minutes.

Thomas's range is then (2 per hour or 1 every 30 minutes)

[0, 10×2] or [0, 600/30] = [0, 20]

please pick for the domain the scale (hours or minutes) your teacher prefers. I suspect hours due to the phrasing, but just in case I showed you both.

Domain defines the input interval and range defines the output interval.

Here for both Taylor and Thomas Domain is how many hours they have worked and range for both of them is how many hats and mittens they have produced in their working hour.

Domain defines the input interval and range defines the output interval corresponding to the domain interval.

In the given question domain of Taylor is (0,8) and each hat takes 10 mins or 1/6 hours

in 1/6 hours Taylor makes 1 hat

so, in (1/6 x 6) = 1 hour taylor will make ( 1 x 6 ) = 6 hats

so in 8 hours Taylor will make (8 x 6) = 48 hats

Range of taylor = (0,48).                             .(as in 0 hour he will make 0                                                                                                                                                                                                                                        

                                                                            hats )                                          

Domain of Thomas is 10 hours = (0,10)

Every pair of mittens take 30 minutes or 1/2 hour

so , In 1/2 hour Thomas makes 1 pair of mittens

      In(1/2 x 2 ) = 1 hour he will make (1 x 2)= 2 pair of mittens.

      In 10 hours Thomas will make (2 x 10 ) = 20 pair of mittens.

The range of Thomas is (0,20).                 .(as in 0 hour he can make no                                                                                                                                                                                

                                                                                        pair of mittens)  

Learn more about Domain and Range here :

https://brainly.com/question/28135761

#SPJ2                                    

Answer:

104 ft²

Step-by-step explanation:

The area of the rectangle is represented by the following:

8ft x 10 ft = 80 ft

The area of the triangle is represented by the following:

(6ft x 8ft) divided by 2 = 24

By combining the values, you get 104 square feet.

Answer:

Step-by-step explanation:

The two long sides on the left and right and bisected into two equal parts each

That means that since there is an angle in common to the top little triangle and the whole diagram, the little triangle on top and the whole triangle are similar.

The ratio of similarity is 1/2

10/(5x + 5) = 1/2                              Cross multiply

(5x + 5)*1 = 10*2

5x + 5 = 20                                     Subtract 5 from both sides

5x = 20 - 5                                     Combine

5x = 15                                            Divide by 5

5x/5 = 15/5

x = 3