The function $f : \mathbb{r} \rightarrow \mathbb{r}$ satisfies $f(x) f(y) - f(xy) = x + y$ for all $x$, $y \in \mathbb{r}$. find $f(x)$.

Answers

Answer 1
I can't get your question to load.

Related Questions

Help! question down below!

Answers

they would be similar since they have the same angles, but different length sides

they are different sizes

 the sides are different lengths

 congruent, means same size and shape

 the only answer that applies is A

The total cost of a vacation to a rain forest includes a fee of $560 for the tour guide, plus $630 per person. The function y=560+630x/ x

models the average cost per person, in dollars, when x people go on the vacation.

What is the horizontal asymptote of the function?


y= ????

Answers

Answer: y= 630 is the horizontal asymptote for the given function.

Step-by-step explanation:

Horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to [tex]+\infty[/tex] or [tex]-\infty[/tex].

Thus, If there is a function f(x),

Then Its horizontal asymptote,  y = [tex]\lim_{x\rightarrow \infty} f(x)[/tex]

Here the given function is, [tex]f(x) = \frac{560+630x}{x}[/tex]

Thus its horizontal asysmptote is, y = [tex]\lim_{x\rightarrow \infty} \frac{560+630x}{x}[/tex]

⇒ y = [tex]\lim_{x\rightarrow \infty}560/x+630[/tex]

⇒ y = 0+ 630

y= 630 is the horizontal asymptote of the given function f(x).

The horizontal asymptote of y = (630x + 560)/x is y = 630.

Linear function

A linear function is given by:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

Given the total cost as y = 630x + 560.

For the function y = (630x + 560)/x, the horizontal asymptote is at:

y = 630x/ x = 630

The horizontal asymptote of y = (630x + 560)/x is y = 630.

Find out more on Linear function at: https://brainly.com/question/13763238

PLEASE HELP!!!!!!!!!!!!! GEOMETRY

Answers

perpendicular, slope is reciprocal and opposite 

so answer is C. -7
Perpendicular lines has OPPOSITE, RECIPROCAL slopes.
The green line has a slope of 1/7, the opposite reciprocal is -7/1 or 
-7.
LETTER C

a country's population in 1995 was 175 million. In 2000 it was 181 million. Estimate the population in 2020 using exponential growth formula. Round you answer to the nearest million

Answers

First find the rate of growth
The formula is
P=Ae^rt
P 181 million
A 175 million
E constant
R rate of growth?
T time 2,000−1,995=5 years
Solve the formula for r
R=(log (p/A)÷log (e))÷t
R=(log(181÷175)÷log(e))÷5
R=0.0067

Now find the population in 2020
P=Ae^rt
P?
A 175 million
R 0.0067
T time 2,020−1,995=25 years
P=175×e^(0.0067×25)
P=207 million. .....answer

Pleaseeeeeeeeeee help what is circle b

Answers

ne S is the blue line, where does it contact circle B?

 it touches at Point K,

 so that would be the tangency.

 Answer Point K

How are line graphs used to show how two variables are related?

Answers

A line graph is characterized by a correlation in the form of a line. The dependent variable is placed on the y-axis and the independent variable is on the x-axis. You can see their relation in terms of the slope. By definition, the slope is the ratio of the change of the y-coordinates to the change of the x-coordinates (Δy/Δx). Visually, you can determine the relationship of the variables by the orientation of the line as shown in the graph. If the slope is increasing, it means that the two variables are increasing together. If the slope is decreasing, it means that when x increases, y decreases. In other words, they are inversely proportional. You can also note the extent of change by knowing which has the greater slope.

Find the median of the following set of data. $12.50, $13.23, $11.20, $14.50, $12.50, $13.23, $15.60, $15.75

Answers

11.2, 12.5, 12.5, 13.23, 13.23, 14.5, 15.6, 15.75
It's 13.23

Answer:

The answer is 13.23

Step-by-step explanation:

In order to determine the median of the set of data, we have to know about median and how applicate it.

The median of a set of data is the middlemost number in the set. The median is also the number that is halfway into the set. To find the median, the data should first be arranged in order from least to greatest.

Also, if there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

So, we arrange the set of data:

11.20

12.50

12.50

13.23

13.23

14.50

15.60

15.75

The data set is an even number.

The two middlemost numbers are: 13.23; 13.23.

So, the mean (average) is:

(13.23+13.23)/2=13.23

Finally, the median of the set of data is 13.23

What is the value of the rational expression 2x-1/x+5 when x = 0?

Answers

2x-1/x+5

       2(0) - 1 
= ---------------
         0 + 5

       - 1 
= ----------
         5

answer 
-1/5

The value of the rational expression of equation is A = -1/5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( 2x - 1 ) / ( x + 5 )

when x = 0

Substituting the values in the equation , we get

A = ( 2 ( 0 ) -1 ) / ( 0 + 5 )

On simplifying , we get

A = -1/5

Hence , the equation is solved and A = -1/5 when x = 0

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

need help: write the expression in a complete factored form: x²-9x+xy-9y

Answers

Factor this by grouping.  Group the first two terms together and then the second 2 terms together.  The idea here is that, after grouping, what you can pull out in both groups is the same.  Like this:
[tex]( x^{2} -9x)+(xy-9y)[/tex]
Now work on finding a common thing between the 2 groups:
[tex]x(x-9)+y(x-9)[/tex]
See, what you have in common there now is the (x-9) that you can factor out:
[tex](x-9)(x+y)[/tex]
And that is factored completely.


Molly hikes 1/6 mile every day.
To hike a total of 11/6 miles, she would have to hike for____ days. To hike a total of 1/3 of a mile, she would have to hike for____ days.

Answers

she hikes 1/6 a day, to get 11/6 , she would have to hike 11 days


to hike 1/3 of a mile

1/3 / 1/6 = 1/3 * 6/1 = 6/3 = 2

 so she would have to hike 2 days

Answer:

11 days and 2 days

Step-by-step explanation:

Molly hikes every day = [tex]\frac{1}{6}[/tex] miles

She would take days to hike total [tex]\frac{11}{6}[/tex] miles = [tex]\frac{\frac{11}{6} }{\frac{1}{6} }[/tex]

= [tex]\frac{11}{6}[/tex] ×  [tex]\frac{6}{1}[/tex] = 11 days.

To hike a total  [tex]\frac{1}{3}[/tex] of a mile she would have to hike = [tex]\frac{\frac{1}{3} }{\frac{1}{6} }[/tex]

[tex]\frac{1}{3}[/tex] ×  [tex]\frac{6}{1}[/tex] = 2 days

To hike a total of  [tex]\frac{11}{6}[/tex], she would have to hike for 11 days. To hike a total of  [tex]\frac{1}{3}[/tex] of a mile, she would have to hike for 2 days

Find the measures of an interior angle and an exterior angle of a regular polygon with 6 sides.

Answers

The sum of the external angles of a polygon is always 360°

To find the measure of one angle, the formula is 360/n where n is the number of the sides of the polygon.

360/6 = 60°

The sum of all internal angles of a polygon can be find with the formula (n-2)*180° where n is the number of the sides. In this case 180(6-2) = 180*4 = 720°

To find one internal angle, follow this formula [180(n-2)] / n = [720/6] = 120°

Anyway, you can pick a vertex and from that vertex start to draw diagonals.

There will be some triangles, the sum of all internal angles of a triangle is 180°. In a polygon, the sum of all internal angles equals to the sum of all internal angles of all the triangles.

Hope I'm clear.
Final answer:

The interior angle of a regular hexagon is 120 degrees, and the exterior angle is 60 degrees.

Explanation:

To find the measures of an interior angle and an exterior angle of a regular polygon with 6 sides, we will use the fact that the sum of interior angles of a polygon is given by (n-2)×180°, where 'n' is the number of sides of the polygon. Thus, a regular hexagon will have its interior angles sum to (6-2)×180° = 720°. Since all interior angles in a regular polygon are equal, each interior angle will be 720° ÷ 6 = 120°. The exterior angle of a regular polygon is calculated as 360° ÷ n. Therefore, an exterior angle of a regular hexagon will be 360° ÷ 6 = 60°.

So, the interior angle of a regular hexagon is 120°, and the exterior angle is 60°.

Line GJ is tangent to point A at point G.

If AG = 9 and GJ = 12, find AJ.

Answers

Okay we know that tangent-chords creat 90 degree angles so what we have is a right triangle with a base of 9 and a height of 12, so do Pythoagoreas Theorem and we have 81+144=225 square root of 225 is 15 and that is AJ
AJ = square root (9^2 + 12^2)
AJ = square root (81 + 144)
AJ = square root (225)
AJ = 15

answer
15

A standard die is rolled. P(A)= the probability of rolling a three
P(B)= the probability of rolling a even number
What is P(A or B)

Answers

To find the probability of A or B, add the two probabilities (since they are mutually exclusive).

P(A)= 1/6 since 3 is one possibility out of 6
P(B)= 1/2 since there are 3 numbers that mke this true out of 6 and 3/6= 1/2

P(A or B)= 1/6+1/2
P(A or B)= 2/3

Final answer: 2/3

Paul and Scott were solving the same problem. Who is wrong? Explain their error.


Paul Scott
__________________

log 3x=9 log 3x=9
3^x=9 x=3^9
3^x=3^2 x=19,683
x=2

Answers

The answer is: log3(x)=9
x=3⁹
x=19 683


3 ^x = 9. 3^x = 3^2, x = 2 . If we have log˙(x) a = b then: a = x^b, Paul wrote it in a form: b = x^a. Scott was right. He wrote: 3^9 = x and as a result he had: x = 19,683.


So Paul is Wrong

The lines 2x - 3y = 1 and 2x + 3y = 2 are intersecting. true or false

Answers

2x - 3y = 1
-3y = -2x + 1
y = 2/3x - 1/3...slope = 2/3, y int = -1/3

2x + 3y = 2
3y = -2x + 2
y = -2/3x + 2/3...slope = -2/3, y int = 2/3

different slopes, different y int's....means 1 solution...so yes, they intersect
TRUE

Answer:

the given statement is true.

Step-by-step explanation:

The given lines are

2x - 3y = 1 and 2x + 3y = 2

Write these equations in slope intercept form of a line y = mx +b

For the first equation

[tex]2x-3y=1\\\\3y=2x-1\\\\y=\frac{2}{3}x-\frac{1}{3}[/tex]

For the first equation

[tex]2x+3y=2\\\\3y=-2x+2\\\\y=-\frac{2}{3}x+\frac{2}{3}[/tex]

The slope and y-intercepts of first line are 2/3 and -1/3 respectively.

The slope and y-intercepts of second line are -2/3 and 2/3 respectively.

Since, the slopes and y-intercepts of these lines are different.

Hence, these lines are intersecting.

Therefore, the given statement is true.

If 400 bricks, each measuring 81" by 31", are required to build a wall 42 feet high, how long is the wall?

Answers

81 x 31 = 2 511 (area of a brick)


2511 x 400 = 1 004 400 (area of the wall)


Convert 1 004 400" to ft. [1ft. = 12"]


1 004 400 / 12 = 83 700 ft.


Now this is what we have.

-Hight 42 ft.

-Length X ft.

-Area 83 700ft.


Algebra time.


42 x X = 83 700 (to get X you would devide 83 700 by 42)


83 700 / 42 = 1 992.85ft. (X = 1 992.85ft.)


So the length of the wall would be 1992.85ft.

The height of the wall is 166.07 ft.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, 400 bricks, each measuring 81" by 31", are required to build a wall 42 feet high.

Here, Area of a one brick 81"×31"

6.75×2.58=17.44 ft²

Total area of 400 bricks = 400×17.44=6975 ft²

Total brick area divided by 42' height of wall

=6975÷42=166.07 ft

Therefore, the height of the wall is 166.07 ft.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ3

A small class has 10 students, 5 of whom are girls and 5 of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the first student chosen will be a girl and the second will be a boy? Write your answer as a fraction in simplest form.

Answers

5 girls, 5 boys...total of 10 students

P(1st pick is a girl) = 5/10 which reduces to 1/2
P(2nd pick is a boy) = 5/9 

P (both) = 1/2 * 5/9 = 5/18 <=

Answer:

The required probability is 5/18.

Step-by-step explanation:

Total number of total students = 10

Number of girls = 5

Number of boys = 5

Formula for probability:

[tex]Probability=\frac{\text{Favorable outcome}}{\text{Total outcome}}[/tex]

The probability that the first student chosen will be a girl = [tex]\frac{5}{10}=\frac{1}{2}[/tex]

After selecting 1 student, the total number of student is

[tex]10-1=9[/tex]

The probability that the second student chosen will be a boy = [tex]\frac{5}{9}[/tex]

The probability that the first student chosen will be a girl and the second will be a boy is

[tex]P=\frac{1}{2}\times \frac{5}{9}[/tex]

[tex]P=\frac{5}{18}[/tex]

Therefore the required probability is 5/18.

The area of a triangle is ½ (b) (h), where the base and height are always two sides of the triangle.
a. True
b. False

Answers

A. True
The area of a triangle is ½ (b) (h), where the base and height are always two sides of the triangle.

Eight two-person teams are participating in a three-legged race. Find the number of orders in which all 8 teams can finish the race.

Answers

Each team needs two people for a 3-legged race.
Therefore, the number of orders (combinations) of 2 people at a time from 8 is
₈C₂ = 8!/(2!6!)
      = (8*7*6!)/(2*6!)
      = (8*7)/2
      = 56/2
      = 28

Answer: 28

Answer:

thx for points man

Step-by-step explanation:

If c is a real number and if 2+i is a solution of the equation x^2-4x+c, what is the value of c

Answers

2nd degree with real coefients
so if a+bi is a root then a-bi is also a root
if 2+i is a root then 2-i is also a root

so, the factored form of a quadratic equation with roots r1 and r2 is
(x-r1)(x-r2)

so
2+i and 2-i

(x-(2+i))(x-(2-i))
(x-2-i)(x-2+i)
expanding we get
x²-4x+5
so c=5

Quadrilateral ABCD is an Isosceles Trapezoid. Which angle is congruent to Angle C?

Answers

Answer: Angle D

The base angles C and D are congruent because this is an isosceles trapezoid. In addition, angle A = angle B because this is another pair of base angles (imagine rotating the figure 180 degrees to make segment AB the base)

Answer:

The reason why any angles coming out from D and C are congruents is  because of the geometry coungruence's concept of 2 items having the same pattern, shape or form and size as the mirror image of the other.

2 angles would be congruent by being the same angle in degrees or radians.

Thereby any angle coming out from C as vertex would be congruent with any other vertex point angle mirroring the resulting figure shaped by the radiants or degrees of such angle.

Step-by-step explanation:

Kieran’s wallet contains 7 bills: three $5 bills, two $10 bills, one $20 bill, and one $100 bill. if kieran pulls out two bills at random, what is the probability that he selects exactly two $5 bills?

Answers

There are 7 bills, and three $5 bills. So out of 7 bills, the chance of getting exactly two $5 bills will be 3/7 , as there are 3  $5 bills and all you need to do is selecting any 2 of them.

Answer:

[tex]\bf\textbf{Probability of selecting exactly two $5 bill }=\frac{1}{7}[/tex]

Step-by-step explanation:

Total number of bills in the wallet = 7

Total number of $5 bills in the wallet = 3

Total number of $10 bills in the wallet = 2

Total number of $20 bill in the wallet = 1

Total number of $100 bill in the wallet = 1

We need to find the probability that he selects exactly two $5 bills.

Number of favorable outcomes = 3

[tex]\text{Probability of selecting one $5 bill }\frac{3}{7}[/tex]

[tex]\text{Probability of selecting second $5 bill }\frac{2}{6}[/tex]

[tex]\bf\textbf{Probability of selecting exactly two $5 bill = }\frac{3}{7}\times \frac{2}{6}=\frac{1}{7}[/tex]

#10 with explanation please

Answers

10. 4x = 1

x = 1/4

 since there is no y if you graph x = 1/4 you would get a straight vertical line at x = 1/4

 since it is a vertical line it is symmetric about the x axis ( it looks the same on both sides of the x axis)

Which is the graph of f(x)=3/2(1/3)^x

Answers

Answer:

Graph B

Step-by-step explanation:

Given is a function as

[tex]f(x) = \frac{3}{2} (\frac{1}{3} )^x[/tex]

There are 4 graphs given.

Out of the 4 options we have to select one which suits this graph

Let us study about f graph

X intercept is at infinity.

Or y=0 is asymptote for this curve

y intercept is when x =0

i.e. y intercept =3/2 (1) = 3/2

Only A and B satisfy this value of y intercept

Out of A and B we have to select one option

When x=1, we get

f(1) = 3/2 (1/3) = 1.5

This is satisfied only by Graph B.

Hence answer is graph B.

When x tends to -infinity y

A rectangle is 3 times as long as it is wide. The perimeter is 60cm. Find the dimensions of the rectangle.

Answers

width = x 
length = 3x

2(x + 3x) = 60
4x = 60/2
4x = 30
x = 30/4
x = 7.5 cm   ← width 

length = 3x = 3 * 7.5 = 22.5 cm


7.5cm x 22.5cm is the answer.

Which shows the graph of the solution set of 3y – 2x > –18? Mark this and return

Answers

When you are asked to graph an inequality, you would expect a graph with a shaded region. This is because the curve or line does not actually have those data points as the solution. It is the data points above or below the curve or line.

First, you disregard the inequality to graph the equation. Find the x- and y-intercepts, plot them, and connect these two dots by extending infinitely from both sides.

x-intercept: let y = 0
0 - 2x = -18
x = 9
y-intercept: let x = 0
3y- 0 = -18
y = -6.

The graph is shown in the picture. Next, you test the inequality by choosing a random data point that does not coincide with any of the data points passed by the line. Suppose, we choose the origin (0,0)

3y- 2x > -18
3(0) - 2(0) > -18
0 > 18

The inequality is true for (0,0), Thus, the shaded region must include this point. All of the region to the left bounded by the line is a solution. Note that the data points are hollow because they are not part of the solution because of the inequality '>'. If it were ≥, then those points would be solid.

The population of a town in 2000 was 430. The population is increasing at a rate of 0.9% every year. What will be the projected population of the town in 2010? Round your answer to the nearest whole number.

options are 440,450,460,470

Answers

The formula is
P=Ae^rt
P ?
A 430
R 0.9/100=0.009
T time 2010-2000=10 years
E constant
P=430×e^(0.009×10)
p=470

Find the 13th term of the sequence 8, -16, 32, -64, ...

A. 32768

B. -16384

C. -65536

D. None of these

Answers

The pattern is to multiply by -2 each time
8
-16
32
-64
128
-256
512
-1024
2048
-4096
8192
-16384
32768
Answer is A

This is a geometric sequence because dividing any term by the previous term results in a constant called the common ratio.  Any geometric sequence can be expressed as:

a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number.

The common ratio,r, is -16/8=32/-16=-64/32=-2, and the first term, a, is 8

So the rule for this sequence is:

a(n)=8(-2)^(n-1), so the 13th term is:

a(13)=8(-2^12)

a(13)=32768

The function h(x) = x2 + 14x + 41 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points) Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points) Part C: Determine the axis of symmetry for h(x). (2 points)

Answers

Part A:



The first thing of completing the square is writing the expression   as   which expands to  .

We have the first two terms exactly alike with the function we start with:  and   but we need to add/subtract from the last term, 49, to obtain 41. 

So, the second step is to subtract -8 from the expression 

The function in finalizing the square form is


Part B:

The vertex is acquired by equating the expression in the bracket from part A to zero




It means the curve has a turning point at x = -7

This vertex is a minimum since the function will make a U-shape. 
A quadratic function   can either make U-shape or ∩-shape depends on the value of the constant   that goes with  . When   is (+), the curve is U-shape. When   (-), the curve is ∩-shape

Part C:

The symmetry line of the curve will go through the vertex, hence the symmetry line is 

This function is shown in the diagram below

Answer:

Part A: The vertex form is h(x) = (x+7)^2  - 8 .

Part B: The vertex is a minimum. The vertex is (-7,-8).  

Part C: The axis of symmetry is x=-7. (axis of symmetry is the x value of the vertex)

Step-by-step explanation:

This video will help you understand how I got the function into vertex form.

Search: How do you convert from standard form to vertex form of a quadratic Brian McLogan

This will help you find the vertex

Search: Finding the vertex of a parabola in standard form khan academy

Identify the polynomial written in ascending order. 8x3+ 2x2− 6x − 11 2x2− 11 + 8x3− 6x −6x + 8x3− 11 + 2x2 −11 − 6x + 2x2+ 8x3

Answers

The answer is -11 - 6x + 2x^2 + 8x^3 <==

Other Questions
The contributions of epidemiology to environmental health include: How did plantations adapt to their locations? A.) Being close to town made all goods readily available. B.) The people on the plantations traveled constantly to get the needed supplies. C.) Plantations often had easy water routes to ship goods in and out. D.) Plantation life required a pioneer spirit of doing everything for yourself. Which political song promoted the Civil Rights Movement? if the lines a and b in the diagram below are parallel why do angles 1 nd 8 measure 120 degree anglesA)Because they are alternate interior angles.B)Because they are corresponding angles.C)Because they are alternate exterior angles.D)Because they are same-side interior angles. PLEASE HELP ME! A nation passes a law that prohibits importation of fruit from abroad. Why might this law be important? What is a programmable logic controller (plc)? What effect did the Industrial Revolution have on the British economy in the late 1700s?A. It had a negative effect because technological innovations led to many people losing their jobs. B. It had a negative effect because more people worked longer hours for lower wages in factories. C. It had a positive effect, including the rapid expansion of certain cities into industrial centers. D. It had a positive effect, mainly resulting from women working shorter hours with higher wages. If you accumulate too many points on your license it will be _____A. CanceledB. SuspendedC. Revoked How was this Supreme Court case monumental for the time in the United States?What lasting impact did this decision have on the nation throughout the 1800s? How does a writer create an individualistic storytelling experience? a? What were some Huey P long's goals as governor of Louisiana? The subject/ essay map approach is helpful for all types of essays. True/False Of the 30 girls who tried out for lacrosse team 12 were selected. Of the 40 boys that tried out 16 were selected. Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls? Explain. What is true of electrolytic cells but is not true of galvanic cells? What is the purpose of the tentacles of coral polyps?a.defenseb.food capturec.clearingd.all of the above What elements make up molecules of sugar? Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule. A(n) = 3 + (n 1)(2.2) What is an example of a way that television can change a news story's message by means of its medium? The value of 4 in 3,492 is how many times the value of 4 in 704? The population of a town is 500,000 in 1990. The population increases at a rate of 5% every five years. What will be the approximate population of the town in 2005?A. 578,813B. 587,712C. 499,354D. 512,945 Steam Workshop Downloader