find all integers x satisfying each of the following congruences mod n. if no such x exists, explain why not

Answers

Answer 1

Answer:

please find the solution:

Step-by-step explanation:

please find the correct question:

Given value:  

[tex]\to 4x \equiv 2(mod\ n) \ \ \ \ \ \ \ \ \ \ \ \ _{where} \ \ n=6\\\\\to 4x \equiv 2 (mod 6)[/tex]

[tex]\to 4x-2[/tex] should be divisible by 6  we are also given that [tex]0 \leq x < n[/tex]  and start with x = 0  

[tex]\to 4x-2[/tex] =-2 which is not divisible by 6  

x= 1  

[tex]\to 4x-2[/tex] = 2 not divisilble by 6  

x= 2

[tex]\to 4x-2[/tex] = 6 which is divisible by 6  

x=3  

[tex]\to 4x-2[/tex] = 10 not divisible by 6

x=4  

[tex]\to 4x-2[/tex]  = 14 not divisible by 6  

x=5

[tex]\to 4x-2[/tex]  = 18 which is divisible by 6  

so such x are x = 2 and x = 5

Find All Integers X Satisfying Each Of The Following Congruences Mod N. If No Such X Exists, Explain

Related Questions

Divison i need help with that

Answers

Answer:

K What's the problem?

Step-by-step explanation:

The authors of a certain paper describe a study to evaluate the effect of mobile phone use by taxi drivers in Greece. Fifty taxi drivers drove in a driving simulator where they were following a lead car. The drivers were asked to carry on a conversation on a mobile phone while driving, and the following distance (the distance between the taxi and the lead car) was recorded. The sample mean following distance was 3.80 meters and the sample standard deviation was 1.19 meters.
Construct a 95% confidence interval (in meters) for μ, the population mean following distance while talking on a mobile phone for the population of taxi drivers. (Round your answers to three decimal places.)

Answers

Answer:

The 95% confidence interval is  [tex] 3.462 <  \mu <  4.138 [/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  50  

    The sample mean is  [tex]\=  x =  3.80[/tex]

     The standard deviation is  [tex]\sigma  =  1.19[/tex]

Given that the confidence level is  95%  then the level of confidence is mathematically represented as

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

=>    [tex]\alpha =  0.05 [/tex]

Generally from the t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of  [tex]df =  50 -1 = 49[/tex] is  

   [tex]t_{\frac{\alpha }{2} ,49 } =  2.0096[/tex]

Generally the margin of error is mathematically represented as  

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

=>   [tex]E =2.0096 *  \frac{1.19}{\sqrt{ 50} }[/tex]

=>   [tex]E = 0.3381 [/tex]

Generally 95% confidence interval is mathematically represented as  

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

      [tex] 3.80 -0.3381 <  \mu <  3.80 +0.3381[/tex]

=>    [tex] 3.462<  \mu <  4.138 [/tex]

PLEASE HELP :’( last one

Answers

Answer:

A.3

Step-by-step explanation:

Can someone help ME PLEASE?!!! will mark brainliest, a friend request, and will rate ur answer
Can someone write these down on a piece of paper?
THX A LOT FOR WHO EVER HELPS ME!!! :)

Answers

Step-by-step explanation:

hopes this help

gggggyyrtbtb5btbtbb5b5b6b66btb5tb6h6

Which correctly solves the equation ab+c=d solve for b.

Answers

Answer:

b=(d-c)/a

Step-by-step explanation:

Just gotta switch them around a bit

x+ y2 + 16x– 14y + 49 = 0
What is the center of this circle ?

What is the radius of this circle ?

Answers

Answer: center: (-8,7)

radius: 8

Step-by-step explanation:

Which point best represents v10 ?

Answers

That would be Q my dude.

Hope this helps

Imagining that she’s taking a summer job working at a local entertainment complex your hourly wage is six dollars you will work 40 hours per week and be paid every other week for a total of 16 weeks use the figure provided estimate your gross pay for the summer and each pay period

Answers

6*40 for how much u make a week then divide 16 by 2 for every other week. Then multiply your sum for 6*40 by 16/2

So you would make $1,920

is f(x)=5x^2+6x^3 a polynomial function​

Answers

Polynomials are expressions whose exponents are non-negative integers and the coefficients are real numbers. The leading term is the term with the highest power. The coefficient of the leading term is the leading coefficient. The power of x in the leading term is called the degree of the polynomial! Here are some examples of polynomials:
Degree Name Example
0 constant 11
1 linear 4x + 7
2 quadratic 3x2 + 4x + 5
3 cubic 4x3 + 3x + 7
4 quartic 3x4 + 2x2 + 4
5 quintic x5 + 3x + 1
Any value of x such that P(x) = 0 is a root of the equation and a zero of the function.
Review of synthetic substitution
To use synthetic substitution, do the following:
1) Write the polynomial in descending order.
2) Make sure any missing terms are replaced with zero!
3) Bring down the leading coefficient.
4) Multiply by the divisor and add to the next term.
5) Repeat the process until the last coefficient is reached.

Example
Use synthetic division to find P(2) for P(x) = 2x3 - 9x2 + 27
2| 2 -9 0 27
4 -10 -20
2 -5 -10 7 The value of P(2) = 7, the last number!!
Sample Problems
1) State whether each is a polynomial function. If yes, find the degree and the zeros.
Problem Polynomial? Degree zeros
a) f(x) = 5 - 4x yes 1 5/4
b) f(x) = 3x2 - 6x yes 2 0, 2
c) f(x) = x - 3/x no
d) f(x) = 18 yes 0 none
e) f(x) = (x-3)/(x+2) no
2) Use synthetic substitution to find P(3) for each function:
a) P(x) = 4x3 - 5x2 + 3
3| 4 -5 0 3
12 21 63
4 7 21 66
Therefore, P(3) = 66

b) P(x) = 3x4 + 2x3 - 5x - 2

3| 3 2 0 -5 -2
9 33 99 282
3 11 33 94 280
Therefore, P(3) = 280


3) If 4 is a zero of f(x) = 3x3 + kx - 2, find the value of k.
Since 4 is a zero, the value of f(4) = 0. Use synthetic substitution.
4| 3 0 k -2
12 48 192 + 4k
3 12 48 + k 190 + 4k
Now 190 + 4k = 0, solve for k
4k = -190
k = -190/4 = -47.5

You and your friends decide to play video games online together on Saturday. One particular game charges a one-time fee of $10 to download and $3.50 per hour of play.



1) Write an equation to represent this situation.

2) How much will it cost you to play the game for 5 hours? Show your work.

Answers

Answer:

Step-by-step explanation:

1. Let's see. One time $10 and $3.50 per hour. So $10+$3.50x(where x represents number of hours)

2. Put in the value of x(substitute it).

$10+$3.50x

$10+$3.50(5)

$10+$17.50

Answer-$27.50

Hope it helps!

check whether (x+7) is a factor of (x^2 +4x - 24). Give reason

Answers

Because x+7=0 is -7

So substitute the number (-7) to (x^2+4x-24)

HELP ME !I don’t know exactly how to do this

Answers

Answer:

x + 5

Step-by-step explanation:

Since she works x hours babysitting and 5 hours tutoring the equation should be x + 5

I am so sorry if I am wrong!!

In a 30-60-90 triangle, the length of the hypotenuse is 17. Find the length of the side opposite the 30 degree angle.

Answers

Step-by-step explanation:

we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem

the length of the side opposite the 30 angle is 17/2

talking about exercise on the photo the answer is

8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.

Now lets use pythagorean theorem

x^2+y^2=z^2

z is hypotenuse

8^2+y^2=16^2

64+y^2=256

y^2=256-64

y^2=192

y=8√3

in need help quick and can you also explain how you did or what I'm supposed to be doing

Answers

-45x+72
you multiply the 9 by everything in the parentheses

Answer:

heres a helpful stragity for your pos and neg numbers

-   -

 +   it's aupposed to be like a smiley face so lets say you had to solve -7+3 then you'd cover up the negitive and positive sign, so the answer would be a negitive number. It's a little stategy. And you should answer the question in the brackets then that answer times whatever you got.  

how do i find the values for mean and standard deviation

Answers

Answer:

1/ Mean: find the average of the numbers by add up all the numbers then divide by how many numbers there are.

2/ Standard Deviation: First, for each number: subtract the Mean and square the result. Then work out the mean of those squared differences. Take the square root of that and we are done!

The sum of two numbers is 49 and the difference between these two numbers is 9.
What are these two numbers?​

Answers

Answer:

the answer is 39 and 14.

The solution is, the numbers are 20 and 29.

What is Subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Here, we have,

given that,

The sum of two numbers is 49

and the difference between these two numbers is 9.

let, the numbers are x & y

so, we get,

according to question:

x+y = 49 ...1

x-y = 9 ....2

so, simplifying we get,

2x = 58

or, x = 29

so, we get,

y = 20

Hence, The solution is, the numbers are 20 and 29.

To learn more on subtraction click:

brainly.com/question/2346316

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For w(x)=-2x+7, find the value of x which w(x)=-3

Answers

Answer:

x = 5

Step-by-step explanation:

-3 = -2x+7

-10 = -2x

5 =x

The value of x from the given function is 5.

The given function is w(x)=-2x+7..

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Now, put w(x)=-3 in the function and simplify.

That is, -3=-2x+7

⇒ 2x=7+3

⇒ 2x=10

⇒ x=5

Therefore, the value of x from the given function is 5.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ5

Mary used 1/2 of a can of paint to cover 1/8 of the outside of her house. How many cans of paint will Mary need to cover the entire outside of her house?

Answers

Answer:

4 cans of paint

Step-by-step explanation:

Half of a can = 1/8 of the outside of the house.

2 halves = whole can of paint

8/2=4

4 cans of paint

Samia buys 15 1/2 yards of fabric to make shirts for his friends he needs 2 5/6 yards of fabric to make each shirt how many shirts can Sammy make

Answers

Answer: He can make 5 shirts

Step-by-step explanation:

15  1/2 ÷ 2  5/6 = 5 8/17

Given the function h(x) = x2 – 7x + 8, determine the average rate of change of
the function over the interval 2 < x < 10.

Answers

The average rate of change of the function over the interval 2 < x < 10 is 5

How to determine the average rate?

The function is given as:

h(x) = x^2 - 7x + 8

Calculate h(2) and h(10)

h(2) = 2^2 - 7 * 2 + 8

h(2) = -2

h(10) = 10^2 - 7 * 10 + 8

h(10) = 38

The average rate is then calculated as:

Rate = (h(10) - h(2))/(10 - 2)

This gives

Rate = (38 + 2)/(10 - 2)

Evaluate

Rate = 5

Hence, the average rate of change of the function over the interval 2 < x < 10 is 5

Read more about average rate of change at:

https://brainly.com/question/8728504

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What is 715 divided by 25 and what is 514 divided by 28?

Plsss help I really need it for my HW

Answers

Answer:

715 divided by 25 is 28.6, while 514 divided by 28 is 18.35. Hope this helps!

Step-by-step explanation:

If f(x) and its inverse function, f'(x), are both plotted on the same coordinate plane, what is their point of
intersection?

Answers

Answer:

The plot coordinates are (3,3).

Step-by-step explanation:

Given:

A function f(x) and its inverse is f-1(x)

To find :

The plot of the coordinates for the intersection.

Solution:

Now we know that inverse function is changing the y=f(x) and then

changing to x to y and y to x

So given function is f(x)

Inverse function is y,

But value of inverse function is f-1(x)

So y=f(x)=f-1(x)

Therefore it becomes

y=x

Hence the value is y=x coordinates

Original price of oil change is 38.95 discount is 32%

Answers

Answer:

If the discount is 32%, the new price would be $26.486

Step-by-step explanation:

To get the answer, you would need to multiply 38.95 * .32 which would equal 12.464.

12.464 is the 32% discount

38.95 - 12.464 = 26.486

Hope this helps and pls do mark me brainliest if you can:)

The answer is 26.486 hope this helps

17-6r=25-3r answer it please

Answers

Answer: r = - 8/3

Step-by-step explanation: im pretty sure thats the write answer

Find the quotient:

_________________
x - 4 ) x^3 + 2x^2 – 16x - 32

Answers

Step-by-step explanation:

x-4)x³+2x²-16x-32(x²+6x+8

x³-4x²

- +

____________

6x²-16x-32

6x²-24x

- +

_________

8x-32

8x-32

- +

_____

X X

______

Hence,

The quotient is x²+6x+8.

Simplify powers of i.
ASSIGNMENT
Simplify each of the following powers of i.
I^32

Answers

Answer:

i^15=-i

i^32=1

1^99=-i

i^22=-1

hope this helps :)

im sorry for the late answer, i put all the answers incase some one needs them, have a nice day!

Step-by-step explanation:

Answer: The answer is "1".

Step-by-step explanation:

Correct on edgen.

Write the equation of a line in point Slope form that passes through the points (-8,-3) and (2,2)

Answers

Answer:

The midpoint of the points (2,8) and (0,4) is given by:

(

2

x

1

+x

2

,

2

y

1

+y

2

)=(

2

2+0

,

2

8+4

)=(

2

2

,

2

12

)=(1,6)

We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

−3x+6y=5 (Subtract 3x on both sides.)

6y=3x+5 (Divide both sides by 6.)

y=

6

3

x+

6

5

y=

2

1

x+

6

5

The slope of our first line is equal to

2

1

. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is

x

1

.

The negative reciprocal of

2

1

is equal to −2, therefore, −2 is the slope of our line.

Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:

6=(−2×1)+b

6=−2+b

b=6+2=8

Substitute this value for b in the equation y=−2x+b:

y=−2x+8

Hence, the equation of the line is y=−2x+8.

Step-by-step explanation:

make me as brain liest

In the population served by the New York Blood Center, 45% have blood type O. Consider the next 15 blood donations to the center from unrelated individuals. (a) What is the probability that exactly three have blood type O? (Enter your answer rounded to four decimal places.)

Answers

Answer:

0.03177

Step-by-step explanation:

Prob (Bld grp) ~ Bin (N, P)

N = 15, P = Prob of success ie 'O' blood type = 0.45

P (BG = 0) for 3 people = (N c X) P^X .  (1-P)^N-X

As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12

= 455 (0.091125) (0.0007662)

= 0.03177  

a. The  probability that exactly three have blood type O is 0.03177

Calculation of the probability:

Since

Prob (Bld grp) ~ Bin (N, P)

So

N = 15,

P = Prob of success ie 'O' blood type = 0.45

Now

P (BG = 0) for 3 people = (N c X) P^X .  (1-P)^N-X

So,

As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12

= 455 (0.091125) (0.0007662)

= 0.03177  

hence, The  probability that exactly three have blood type O is 0.03177

Learn more about probability here: https://brainly.com/question/21102470

How do you determine the absolute maximum and minimum values of a continuous function on a closed​ interval?

Answers

Answer:

Steps are detailed below.

Step-by-step explanation:

The steps to determine the absolute maximum and minimum values of a continuous function on a closed​ interval are;

For example, if we have a function f(x) = x³ - 3x + 2 on the interval (-3, 4)

The steps are;

Step 1:

We will find the first derivative of f(x) which is; f'(x) = 3x² - 3.

Then we will find the critical values of this derivative. The critical values are the values of x that makes f'(x) = 0. But these critical values must fall in between the given interval (-3, 4)

Step 2:

Plug in the critical values gotten in step 1 above into the original f(x) function and note down the answers.

Step 3;

Plug in the endpoint values on the interval (-3, 4) given in the question into the original f(x) function and note down the answers.

Step 4;

The highest and lowest values of f(x) gotten in steps 2 & 3 are the absolute maximum and absolute minimum values respectively of the continuous function f(x).

Help!!! Write the equation of the parabola in vertex from

Answers

Answer:

[tex]y=-\,(x+1)^2+3[/tex]

Step-by-step explanation:

Notice that the vertex of the parabola is at (-1, 3), so we can start the expression of the quadratic in vertex form as:

[tex]y=a\,(x--1)^2+3\\y = a\,(x+1)^2+3[/tex]

we can now find the coefficient "a" by using another point the parabola goes through, like for example (0,2):

[tex]y = a\,(x+1)^2+3\\2=a\,(0+1)^2+3\\2=a+3\\a=2-3\\a=-1[/tex]

So the final expression for the parabola in vertex form is:

[tex]y=-\,(x+1)^2+3[/tex]

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