Si: x;y∈ℜ y f={(2;8),(x;x+1),(2;x2−2x),(−2;9),(3;9),(y;y−1),(3;y+4)} es una función, calcúlese x y y, dando como respuesta la representación de la función.

Answers

Answer 1

La relación dada es una función si x = 4 y y = - 1. La representación de la función es f= {(2, 8), (4, 5), (- 2, 9), (3, 9), (5, 4)}.

¿Que valores tienen dos variables reales tal que una relación dada es una función?

Las relaciones están formadas por dos conjuntos relacionados entre sí, un conjunto de entrada denominado dominio y uno de salida denominado rango. Una función es una relación cuyos elementos del dominio solo están asociados a un solo valor del rango.

Bajo estas consideraciones, tenemos que (2, 8) = (2, x² - 2 · x) y (3, 9) = (3, y + 4), cuyas ecuaciones algebraicas se resuelven a continuación:

x² - 2 · x = 8     (1)

y + 4 = 9     (2)

By (1):

x² - 2 · x - 8 = 0

(x - 4) · (x + 2) = 0

x = 4 ∨ x = - 2

By (2):

y = 5

Si sabemos que x = 4 y y = - 1, entonces la representación de la función es:

f= {(2, 8), (4, 5), (- 2, 9), (3, 9), (5, 4)}

Para saber más sobre funciones: https://brainly.com/question/23382419
#SPJ1


Related Questions

I really don’t get it!!

Answers

Answer:

The answer is b.

Step-by-step explanation:

Square root 124, you'll get 29.10, after that once you simplify it, you will get the answer and you will have to do the formula, a^2 + b^2 = c^2 since it is a triangle.

Answer:

x = 11,

m∡LMN = 124°

Step-by-step explanation:

since NO bisects ∡LMN, then ∡LMO = ∡NMO

so we can do the following to solve for 'x':

8x - 26 = 2x + 40

6x = 66

x = 11

now, plug 11 in for 'x' into either expression and double it, since ∡LMN is made up of two equal angles

8(11) - 26 = 88 - 26 = 62

62 x 2 = 124

4. The area of a rectangle is (x2+8x + 12) cm. If the
length of the rectangle is (x + 6) cm, show that is
breadth is (x + 2) cm.​

Answers

Answer:

★ Given :

Area of triangle = x² + 8x + 12 cm²

length = (x+6)cm

★ To show :

breadth = (x+2) cm

★ Solution :

We know that,

Area of a rectangle = length × breadth

by putting values

(x² + 8x + 12) = (x+6) × breadth

by diving (x² + 8x + 12) into factors

using middle term splitting

x² + 6x + 2x + 12

x(x+6) + 2(x+6)

= (x+2)(x+6)

(x+2)(x+6) = (x+6) × breadth

Hence, verified..

Answer:

hope it helped have a good day mate

To test for a disease, technicians mix the blood samples from 8 people then test the mixture. The mixture will test positive for the disease if and only if one or more of the 8 blood samples in the mixture contains the disease. Find the probability that the mixture will test positive given that there is a 52% chance of any particular sample testing positive.

Answers

Answer:

Step-by-step explanation:

[tex]1-(0.52^8)\approx 0.99465402714[/tex]

Jordan is making a paddleball court. The court consists of a wall outlined by 40 m of paint. What dimensions

will maximize the area of the paddleball court?

Length

Width

L

а length - 20 m, width - 20 m

b. length - 13.33 m, width = 1334 m

C length - 10 m, width - 10 m

d. length - 10 m, width 20 m

Answers

Answer:

ffhhfhhfhhfhfhfhfhhfhhfhfhfhfhfhfhfhfhfhhfhfhfhfh

Answer:

lnfadvogbfvuvgayuvgalof

Step-by-step explanation:

asdbujvygadsoufyudgasoufgaedoy

Estimate the average rate of change from x=2 to x=5

Answers

Answer:

5x3x2y

Step-by-step explanation:

The average rate of change for the graph is 4/3 from x = 2 to x = 5.

What is Lagrange mean value theorem?

Lagrange mean value theorem states that, if a function f is continuous over the closed interval [a, b] and differentiable over the open interval (a, b), then there must be at least one point c in the interval (a, b) where the slope of the tangent at the point c is equal to the slope of the tangent through the curve's endpoints, resulting in the expression f'(c) = {F(b) -F(a)}/(b-a)

According to the given graph,

At point x = 2,

F(2) = 3

At point x = 5,

F(5) = 7

Since the formula for the average rate of change of the function between x = a and x = b is,

The average rate of change = {F(b) -F(a)}/(b-a)

Here a = 2, b = 5 and F(2) = 3, F(5) = 7

Substitute the values in the formula,

So the average rate of change = (7 - 3)/(5 - 2) = 4/3.

Hence, the average rate of change of the function is 4/3.

Learn more about the Lagrange mean value theorem here:

https://brainly.com/question/13264870

#SPJ2

How do I find the measure of each marked angle question 14

Answers

Answer:

x=38

Step-by-step explanation:

hope this helps!

if angles are on a line like that, both equations added up together will always be equal to 180.

like this:

2x-10+3x = 180

5x-10=180 (combine)

5x=190 (subtract 10 on both sides)

x=38 (divide both sides by 5)

(b) 33 is 75% of what number?

Answers

Your answer should be 44 lol
The answer is 44.
hope this helps youuuu

solve for each quotient 2 1/2+7 1/3​

Answers

9.833333333333333333333

The quotient of the given fractions is 9/44.

Given that, [tex]1\frac{1}{2}\div 7\frac{1}{3}[/tex].

How to divide the fractions?

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

The given mixed fractions can be written as, [tex]1\frac{1}{2}=\frac{3}{2}[/tex] and [tex]7\frac{1}{3}=\frac{22}{3}[/tex]

Now, 3/2 ÷ 22/3

=3/2 × 3/22

=9/44

Therefore, the quotient of the given fractions is 9/44.

To learn more about the fractions visit:

https://brainly.com/question/10354322.

#SPJ2

The radius of a cylindrical water tank is 4.5ft, and its height is 11ft. What is the volume of the tank?
Use the value 3.14 for π, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

Answer:

494.8

Step-by-step explanation:

Volume of cylinder = 2pierh + 2pier^2

= 2*3.14*4.5*13 + 2*3.24*4.5^2

= 494.8

Use elimination to solve the system of equations.

x – y = 5

x + y = 3


a
(–4, –1)
b
(4, 1)
c
(–4, 1)
d
(4, –1)

Answers

Answer:what

Step-by-step explanation:

what

Find the perimeter P of
JKLM
with vertices J(-3,-2),K(-5,-5),L(1.-5),M(3.-2) Round your answer to the nearest tenth

Answers

Yes just round it to two decimal then multiply to three then you’ll get ur answer. Simple.

Find the indicated measurement

Answers

Answer:

11.2

Step-by-step explanation:

Given that the two triangles share an angle (bottom left), and since the sides opposite this angle are parallel, we can conclude that the triangles are similar.

Put one side length over another and equak to the corresponding side lengths of the other triangle:

28/15=?/6

?=6(28/15)=11.2

help quick

142 is what percent of 596?

(Write your answer as a percent rounded to the nearest tenth of a percent. Include the % on your answer.)

Answers

you answer should be 28.83%

Answer:

23.8%

Step-by-step explanation:

Step 1: Divide 142 by 596;

The first step is to divide the numerator of this problem by the denominator. The numerator, in this case, is 142 and the denominator is 596. Here is the equation for this operation:

142/596 = 142 ÷ 596 = 0.23825503355705

Step 2: Multiply 0.23825503355705 by 100

The second step is to multiply the result of step 1 by 100. This will turn our original answer into a percentage. This is the final answer to the problem. Here is the equation for:

0.23825503355705 × 100 = 23.83

Step 3: Round 23.83 to the nearest tenth

To round 23.83 to the nearest tenth consider the hundredths’ value of 23.83, which is 3 and less than 5. Therefore, the tenths value of 23.83 remains 8.

23.83 rounded to the nearest tenth = 23.8%

Pls help I need a good grade asap

Answers

Answer:

8n+12=36, triplets are 8 years old

Step-by-step explanation:

total age is 36

one of them is 12 years old so -> 36-12 = 24

three triplets so 24/3 = 8

there are three 8 years olds and one 12 year old. n = 3

Answer:

Step-by-step explanation:

3n + 12 = 36

3n = 24

n = 8 (the triplets)

another child: 12 years

How do I find the mean of a given set of numbers?

Answers

Answer:

Add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Step-by-step explanation:

:D

What is the volume of a prism if the area of its cross-section is 2 m² and its length is 7 m?

Answers

Answer:

14m^3

Step-by-step explanation:

Volume of the prism = base area * height

Given

Area of the cross section = 2m^2

Length = 7m

Substitute

Volume of the prism = 2 * 7

Volume of the prism = 14m^3

Hence the volume of the prism is 14m^3

$26,088,808.74 +
$34,311,887.98 =

Answers

60,400,696.6 is the answer

Answer:60,400,696.72

Step-by-step explanation:

it just is...

If cos x= sin(20 + x)° and 0° < x < 90°, the value of xis

Answers

Answer:

draw a right angle triangle

Step-by-step explanation:

Let one of the angles be A  

cos A = sin (90-A)  

90 - x - 20 = x  

2x = 70  

x = 35 degrees

Find the area of the figure.

(Simplify Your Answer)

Answers

Answer:

7550 meter square

area of rectangle = Length x breadth

= 130 x 20

= 2600 meter square

area of triangle = 1/2 x base x height

1/2 x (130-20)m x (130-40)m

1/2 x 110m x 90m

55 x 90

4950 metre square

area of rectangle + area of triangle

4950 + 2600

7550 meter square

help please!!!!!!!!will give brainliest

Answers

Step-by-step explanation:

The first answer is correct

Answer:

The answer is option A = 5 11/36

Working :

3 8/9 as an improper fraction = 35/9

1 5/12 as an improper fraction =17/12

35/9 + 17/12 = 191/36

=5 11/36

Please mark me brainliest.

Find the whole. 215% of what number is 172

Answers

I think it would be 369.8 please check my answer!

IN (3)
2
10
6
7
-3
-10 1000
15
OUT (9)
9 25 17
a. Explain in words what is done to the input value (20) to produce the output value (y).
b. Write the rule you described in part (a) with algebraic symbols.

Answers

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) [tex]y =2x +5[/tex]

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Using:

[tex](x_1,y_1) = (2,9)[/tex]

[tex](x_1,y_1) = (10,25)[/tex]

So, we have:

[tex]m = \frac{25 - 9}{10 - 2}[/tex]

[tex]m = \frac{16}{8}[/tex]

[tex]m=2[/tex]

The equation is calculated using:

[tex]y - y_1 =m(x - x_1)[/tex]

Using:

[tex](x_1,y_1) = (6,17)[/tex]

We have:

[tex]y - 17 =2(x - 6)[/tex]

[tex]y - 17 =2x - 12[/tex]

Make y the subject

[tex]y =2x - 12+17[/tex]

[tex]y =2x +5[/tex]

Hence, the rule is:

Multiply the input (x) by 2 and add 5 to the result of the product

(b): The rule, in algebra

As solved in (a), the rule is:

[tex]y =2x +5[/tex]

Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $7. On Saturday, Rob
earned $84 babysitting. How much money did he save?
If he earned $84, how much money did he save

Answers

Answer:

$42

Step-by-step explanation:

7/14=1/2 so he saved 1/2 of 84

pls answer fast. will give brainliest (v2)

Answers

Answer:

Account B   principle for B=400, principle for A=200

Step-by-step explanation:

Give the sine, cosine, and tangent ratios for
both angle A and Angle B as a reduced fraction.

Answers

Answer:

sin A= 43.60 or 43 3/5 cos A= 43.60 or 43 3/5 tan A= 43 3/5

sin B= 46. 40 or 46 2/5 cos B= 46. 40 or 46 2/5 tanB= 46.40 or 46 2/5

Step-by-step explanation:

Hope this Helped

Factor the expression using the GCF 42-12

Answers

6(7 - 2)
6(5)

Check:
7*6 = 42
2*6 = 12
42-12 = 30 = 6(5) :)

(x-4)^2=25 by taking the square root

Answers

Answer:

x = -1, 9

Step-by-step explanation:

[tex](x-4)^2=25\\x-4=\sqrt{25}\\[/tex]

x - 4 = ±5 (positive or negative 5, because (-5)^2 = 25)

x - 4 = 5

x = 9

or

x - 4  = -5

x = -1

x = -1, 9

HOLA! HEY!! Can some one please help me with this quiz? I will give you brainlest.
A rectangle with an area of 8 ft² is dilated by a factor of 4.

What is the area of the dilated rectangle?


12 ft²

32 ft²

64 ft²

​128 ft²

Answers

Answer:

I think the answer it is D

Which proportion would you use to solve the following problem?

A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 4 cm apart on the map.
ILL MARK BRAINLEST

Answers

Answer:

They are 20 km away from each other,

Step-by-step explanation:

1cm=5km so 4cm=20km

Answer:

20km

Step-by-step explanation:

its like 1st grade math?

also im posting so you can give the other dude brainliest

the length of the rectangle is x+2x-3 and the with is 5x+4. what is the perimeter of the rectangle​

Answers

Answer:

[tex]2(8x - 7)[/tex]

Step-by-step explanation:

( x + 2x - 3)(2) + (5x + 4)(2) = 2x+4x-6+10x-8

= 16x - 14

= 2(8x-7) (when factorised/simplified)

Other Questions
I really need help besties what is 67=-7x-10 Solve for the missing variable. Round to the nearest hundredth.X820 why is there a subject called SAT? what do you do??? SIT DOWN!?! URGENT HELP! PICTURES ATTACHED. In addition to these persuasive considerations, it may be observed, that the same reasons which show the necessity of denying to the States the power of regulating coin, prove with equal force that they ought not to be at liberty to substitute a paper medium in the place of coin. Had every State a right to regulate the value of its coin, there might be as many different currencies as States, and thus the intercourse among them would be impeded; retrospective alterations in its value might be made, and thus the citizens of other States be injured, and animosities be kindled among the States themselves. The subjects of foreign powers might suffer from the same cause, and hence the Union be discredited and embroiled by the indiscretion of a single member. No one of these mischiefs is less incident to a power in the States to emit paper money, than to coin gold or silver. The power to make any thing but gold and silver a tender in payment of debts, is withdrawn from the States, on the same principle with that of issuing a paper currency. - from The Federalist Papers, No. 44, James Madison, 1788 Based on this excerpt, which BEST explains why Article I, Section 10 of the Constitution prohibits states from coining their own money A cockroach and a spider are walking on the sands at a desert. Assume that both have the same weight and same sized legs. Which one would leave a deeper footprint on the sand? Why? Compared to an uncatalyzed reaction, an enzyme-catalyzed reaction produces different products requires a higher temperature occurs at a faster rate: uses less substrate: requires more energy: Jaylen ha a fun-ize bag SweetTart. Inide the bag are 4 pink, 1 blue, 2 yellow, 3 purple and 2 green SweetTart. What i the probability of drawing a yellow SweetTart three time in a row if each SweetTart elected i eaten before the next SweetTart i drawn? What actions affect credit score? which of the following is not a normal characteristic of the normal microbota of the urinary and reproductive system 3.PART A: What relationship does the author depict between archaeology and history?B.C.D.A.D.B.CPART B: Which phrase from the text best supports the answer to Part A?strengthening the understanding of human history.Archaeology rarely contradicts human understanding of the past strengtheningscholars understanding of history.History provides scholars with a broad view of the past, whereas archaeologyinvestigates how people died in natural disasters.Archaeology imagines what a city physically looked like in the past, but it cannot helpscholars understand ancient peoples' thoughts, feelings, or lives."Temples, houses, and parts of the thick city walls collapsed, fires ravaged sections othe town, and even sheep in the surrounding countryside died from the release ofpoisonous gases." (Paragraph 10)"Pompeil was finally rediscovered in 1755 AD... Local stories of the city were proveto have been based on fact when under just a few feet of volcanic debris lay an entitown." (Paragraph 14)"One plaster cast reveals a couple holding hands. One reveals a man covering hismouth from the raining ash with a useless piece of cloth. Yet another shows a pregwoman in the fetal position" (Paragraph 15)"Not only are such sources typically unavailable to the historian, but also their varipermits an insight into sections of society... hardly discussed in traditionally survivitexts" (Paragraph 16) How do you find the values of a function? 6. Ali and Steve share some sweets in the ratio 2:7Steve gets 30 more sweets than Ali.Work out how many sweets Steve gets. Determine whether the ytem ha no olution, one olution, or infinitely many olution. If the ytem ha one olution, name it. Xy= 5 3x5y=15 worst loss in college football national championship.a. trueb. false Elaborate theimportance ofstudying ConsumerBehavior inMarketing management. Georgia's government Choose settlement in theBefore 1800, Georgia's boundaries extended all the way to the Choose.state. Georgia hoped to increase its Choose which would help the state's agriculture grow as well as give Georgia greaterrepresentation in Congress. how many wisdom teeth does the average adult have? What does lily symbolize? What prediction does the passage from Amos offer about Israelites society