Let f be a function defined on the set of positive rational numbers with the property that f(a · b) = f(a) + f(b) for all positive rational numbers a and b. Suppose that f also has the property that f(p) = p for every prime number p. For which of the following numbers x is f(x) < 0?

a. 17/32
b. 11/16
c. 7/9
d. 7/6
e. 25/11

Answers

Answer 1
I most likely would say A.

Related Questions

The product of 2 more than 5 times a number and 4 less than three times a number

Answers

Sorry I'm not sure if I'm right just my thinking...

set the number to be x so that (5x+2)(3x-4)??

Identify the equation of the circle that has its center at (9, 12) and passes through the origin.

Answers

Answer:  [tex](x-9)^2 + (y-12)^2 = 225\\\\[/tex]

This is the same as writing (x-9)^2 + (x-12)^2 = 225

========================================================

Explanation:

Any circle equation fits the template of [tex](x-h)^2 + (y-k)^2 = r^2\\\\[/tex]

The center is (9,12) which tells us the values of h and k in that exact order.

h = 9

k = 12

To find the radius r, we need to find the distance from the center (9,12) to a point on the circle. The only point we know on the circle is the origin (0,0).

Apply the distance formula to find the distance from (9,12) to (0,0)

[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (9-0)^2+(12-0)^2}\\\\d = \sqrt{ (9)^2+(12)^2}\\\\d = \sqrt{ 81+144}\\\\d = \sqrt{ 225}\\\\d = 15\\\\[/tex]

The distance from (9,12) to (0,0) is 15 units. Therefore, r = 15

An alternative to finding this r value is to apply the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.

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

Since h = 9, k = 12 and r = 15, we can then say:

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-9)^2 + (y-12)^2 = 15^2\\\\(x-9)^2 + (y-12)^2 = 225\\\\[/tex]

which is the equation of this circle.

The arithmetic mean of ten numbers is 36. if one of the numbers is 18,What is the mean of the other nine?

Answers

My answer is in the picture

What is the sum of -14
and -15?

Answers

-14 + (-15) = -14 - 15 = -29
Hope it helps !!! Brainliest if it is!!

Answer:

-29

Step-by-step explanation:

(-14) + (-15) =

-14 - 15 =

-29

PLssssssss helppppppppppppppppppppppp

Answers

Answer:

6 ft

Step-by-step explanation:

PLS HELPP , i tried solving this and i wrote 56 but it was wrong so i don’t know anymore pls pls help

Answers

Answer:

y = 68

A = 44

Step-by-step explanation:

No matter what may be true, that doesn't look like an a to me.

x = y = 68                x and y are opposite equal sides and are therefore =.

68 + 68 + A = 180  all triangles are 180 degrees.

136 + A = 180          Subtract 136 from both sides

A = 180 - 136

A = 44


The shaded rectangle, which is the correct expression of its perimeter

Answers

Answer:

2x + 2y - 4

Step-by-step explanation:

The opposite sides are congruent so perimeter (P) is

P = 2(x + 2) + 2(y - 4)

  = 2x + 4 + 2y - 8

  = 2x + 2y - 4

Is the product of a rational number and an irrational number always irrational?

Answers

Answer:

The product of any rational number and any irrational number will always be an irrational number.

Step-by-step explanation:

Find all points on the x-axis that are 14 units from the point (5, -7)

Answers

Answer:

can you submit the coordinet plane?

Step-by-step explanation:

7-15
Dividing decimals

Answers

Answer:

7-15= -8

Step-by-step explanation:

7-15= -8
so therefore the other person is correct

what is
[tex] \frac{28}{141} [/tex]
as a percentage​

Answers

The answer to the question is 17.02

Answer:

19,86%

Step-by-step explanation:

[tex] \frac{28}{141} = 0.198582[/tex]

➡️ [tex]0.1986[/tex]

➡️ [tex]0.1986 \times \frac{100}{100} [/tex]

➡️ [tex] \frac{0.1986 \times 100}{100} [/tex]

➡️ [tex] \frac{19.86}{100} [/tex]

➡️ [tex] = 19.86\%[/tex] ✅

i’ll give brainliest pls
i need to finish this quickly, i need part a b and c

Answers

B 54

C 70

I got it right

3 3/5 divided by 1/6?

Answers

Answer:

10.8

Step-by-step explanation:

3 3/5 divided by 1/6

(3(3/5))/(1/6)

(9/5)/(1/6)

54/5

10(4/5)

10.8

3) What type of correlation would temperature
and ice cubes have?

Answers

temperature causes ice cubes to melt, or stay in the same state- temperature can impact state of matter in water, making ice cubes at 0 degrees Celsius

4. In a class of 35 students, 20 offer Physics,
18 offer Chemistry and 2 offer neither
Physics nor Chemistry
1) Illustrate the information on a Venn
diagram
il) How many students offer all the two
subjects?
1) How many students offer Physics!
1) How many students offer only one
subject

Answers

5 students offers all the two subjects.

Student that offers Physic only = 15 students

Student that offers chemistry only  = 13 students

Students that offers only one subject = 28 students

How to solve a Venn diagram?

Total student in the class = 35

20 offer physics.

18 offer chemistry

2 offer neither physics nor chemistry.

Therefore,

x = student that offer both subject

35 = 20 + 18 - x + 2

35 - 2 - 20 - 18 = -x

-5 = -x

x = 5

Therefore, 5 students offers all the two subjects.

Student that offers Physic only = 20 - 5 = 15

Student that offers chemistry only = 18 - 5 = 13

Students that offers only one subject = 13 + 15 = 28

learn more on Venn diagram here: https://brainly.com/question/27808502

#SPJ1

PLS HELPP
6 times what =9??

Answers

Answer:

4 • 8 = 32

6 • 1.5 = 9

Step-by-step explanation:

6 times what = 9

6x = 9

x = 9/6

x = 1.5

6 times 1.5 = 9

[tex]6\cdot\square=9\\\\\square=9:6\\\\\square=\frac{9}{6}\rightarrow\square=\frac{3}{2} \ (\text{devide 9 and 6 by 3})[/tex]


The Torrence family has a rectangular, in-ground pool in their yard. It holds 1700 ft of water. If it is 17 ft wide and 4 ft deep,
what is the length of the pool

Answers

9514 1404 393

Answer:

  25 ft

Step-by-step explanation:

The volume is given by the formula ...

  V = LWD . . . . . the product of length, width, depth

Solving for L, we have ...

  L = V/(WD) = (1700 ft³)/((17 ft)(4 ft)) = 100/4 ft = 25 ft

The length of the pool is 25 ft.

When 2 lines cross, 2 pairs of vertical angles are formed. What is the sum of all 4 angles?

A.
180°
B.
270°
C.
360°
D.
540°

Answers

Answer:

C. 360°

Step-by-step explanation:

Two pairs form a complete angle with a sum of 360°.

Points A and B are represented on the number line.
А
B
-ht
-2
-1
0
1
2
Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.
Statement True or False?
IAI > IBI
True
False
IAI > 0
True
False
A>B
True
False

Answers

Answer:

Points A and B are represented on the number line.

А

B

-ht

-2

-1

0

1

2

Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.

Statement True or False?

IAI > IBI

False

IAI > 0

False

A>B

true

Assume that an investment of $7000 earns an APR of 6% compounded monthly for 18 months.

How much interest has been earned?

Answers

Answer: sorry I wasn’t able to tell u the exact number but check out this link it should help u

Step-by-step explanation:

https://www.wyzant.com/match

write 1000 as a product using 10 as a factor

Answers

Answer:

-

Step-by-step explanation:

Answer:

The answer is right here for you!

Here it is:10x100

PLS HELP SHOW ME HOW TO DO THIS
A polynomial function h(x) has a zero of x = 2 – 5i with a multiplicity of one. Certain values of h(x) are given in the following table.

x h(x)
–5 0
–2 3
–1 –1
1 2
4 0
7 6
10 5

If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)?
A. 2
B. 3
C. 4
D. 5

Answers

The answer is 4! So c

Using function concepts, it is found that the degree of the function is: 4, option C.

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

The x-intercepts of a function are the values of the function for which the output is zero.The degree of a function is the sum of the multiplicities of the x-intercepts of the function.If a function has a complex root, it means that the conjugate is also a root.

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

When [tex]x = -5, h(x) = 0[/tex], thus, x = -5 is one x-intercept.When [tex]x = 4, h(x) = 0[/tex], thus, x = 4 is one x-intercept.There is also a x-intercept(zero) at [tex]x = 2 - 5i[/tex]. There will also be a x-intercept at the conjugate, which is [tex]x = 2 + 5i[/tex].Thus, there are 4 x-intercepts, all with multiplicity 1, which means that the degree of h(x) is 4, option C.

A similar problem is given at https://brainly.com/question/10539060

hi can someone help me with this problem!!

Answers

Answer:

f(x) | 5 | - 1 | - 3 | - 1 | 5 |

Step-by-step explanation:

So first you'll say "-2" into function

Replace x with negative 2

f(x) =2(-2) ^2 - 3

8 - 3 = 5

Secondly place "- 1" into function

Replace x with negative 1

f(x) = 2(-1)^2 - 3

2 - 3 = - 1

Thirdly place "0" into function

Replace x with 0

f(x) = 2(0)^2-3

0 - 3 = - 3

Then place "1" into function

Replace x with 1

f(x) = 2(1)^2 - 3

2 - 3 = - 1

Lastly place "2" into function

Replace x with 2

f(x) = 2(2)^2 - 3

8 - 3 = 5

{ hope this helps}

Find the equation of the line that is parallel to y = 4 - 3x and passes through the
point (1,5).

Answers

Answer:

[tex]y=-3x+8[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope

1) Determine the slope (m)

[tex]y = 4 - 3x\\y = -3x+4[/tex]

Given this equation, we can identify the slope to be -3 since it's in the place of m in [tex]y=mx+b[/tex].

Because parallel lines have the same slope, -3 is therefore the slope of the line we're currently solving for. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-3x+b[/tex]

Plug in the given point (1,5) and solve for b:

[tex]5=-3(1)+b\\5=-3+b\\8=b[/tex]

Therefore, the y-intercept is 8. Plug this back into [tex]y=-3x+b[/tex]:

[tex]y=-3x+8[/tex]

I hope this helps!

Roast beef has 25 g of protein and 11 g of calcium per serving. A serving of mashed potatoes has 2 g of protein and 25 g of calcium. Set up and solve a system to show how many servings of each are needed to supply exactly 29g of protein and 61 g of calcium.

Answers

Step-by-step explanation:

your answer

mark me a brainlist

6. If there are 60 studensts in a class, 20 students are absent. Then, find the percentage of absent students.​

Answers

Answer:

60:20

100:?x

60×x=100×20

=33.333 %

The cost of petrol is 60 rupees per litre a petrol bunk sells 750
litre s of petrol one day. how much money do they get At The end of the day​

Answers

Answer:

45000rupees

Step-by-step explanation:

cost of 1 litre of petrol=60rupees

cost of 750 litres of petrol=750×60rupees

=45000rupees

Please help and please give explanation

Answers

Answer: -5 i guess i might b wrong i dont know -5

Step-by-step explanation:

Find the total amount paid on a loan when the monthly payment is $189 and the loan is paid off in 48 months. Use the formula A = MN, where A is the total amount paid, M is the monthly payment, and N is the number of payments.

Answers

Answer:

Step-by-step explanation:

M=189

N = 48

A = M*N

A = 189 * 48

A = 9072

PLZ HELP WITH BOTHHHHH

Answers

Answer:

(5,2)

(6,-6)

Step-by-step explanation:

Other Questions
8. {Review} Is this a simple, compound, or complex sentence? I washed the dishes while James took out the trash. O simple O compound O complex Lloyds lab partner is looking down into a test tube while he heats the contents by using a flame. Which action should Lloyd recommend to his partner if heating must continue?Wear safety goggles while looking into the opening of the test tube.Cover the opening of the test tube so that no materials can boil out of it.Move the test tube so that the opening is pointing away from all students.Put the test tube in a hot water bath so that no water can enter its opening. A mass of 10kg is suspended from the end of a steel rod of length 2m and radius 1mm. What is the elongation of the rod beyond it's original length (Take E=200*10Nm) A coin is flipped two times and the number of heads is counted. Which of the following is a valid assignmentof probabilities for the number of heads observed in two flips?8.Number of headsProbability01/1015/1024/10b.Number of heads012Probability1/42/41/4C.01Number of headsProbability21/31/31/3d. All answer options are correct can sound waves propagate in vacuum if yes why if no why not?? Relationships with others can be improved by _____.restricting communication questioning people's motivestelling others how they can be more tolerantdeveloping personal skills Will mark as brainliest! Which word is a SYNONYM for the word fallible?The journalist admitted being fallible when questioned about the inaccuracies in his reportneglectfulcarelessimperfectflawlessDoneMy ProgressCopyright 2021 ty Cumbukum Associates All nights reserved. These materials, or any portion thereof, may not be reproduced or shared in any manner without express written consent of Curriculum Associates 2. How did the migration to the West affect the Plains Indians? Question 31 ptsRead the sentence.My friends and I decided to go camping this weekend we will leave on Friday.A semicolon should be placed after which word in the sentence? 14 km = m on conversions using a ladder method twice a number added to the product of 14 and 2 is 30. find the number The United States hasthelandforms in NorthAmerica.A. widest and longestB. biggest and smallestC. highest and lowest eo *Write any two uses of good condutor of heat number 27 pls snsinusnisbihwbhwbihbsyigsyuvwuhbwuhbwhi sorry i have to write 20 characters If you know that Ana holds the highlighted position in the organization chart shown here, she is probably a manager. A job title associated with that level of management is PLEASE HELP FAST!! I CANNOT GET THIS WRONG!!!!Makayla and David work at a furniture store. Makayla is paid $230 per week plus 7.5% of her total sales in dollars, x, which can be represented by g(x)=230+0.075x. David is paid $321 per week plus 4% of his total sales in dollars, x, which can be represented by f(x)=321+0.04x. Determine the value of x, in dollars, that will make their weekly pay the same. Help me please 3. How do you convince a person who is about to sell his kidney du to poverty? Write in four points. WANT BRAINLIEST? ANSWER THIS CORRECTLY.Which of the following events in the story Two Friends is the best example of irony? A. Two men are captured behind enemy lines during a war.B. Two men who had been fishing end up dead in a river.C. Two friends die rather than betray their country.D. Two starving Frenchmen decide to go fishing.