P is a prime number.
Show that p²+6 could be either even or odd

Answers

Answer 1

p ² + 6 is even if p ² is even (the sum of two even numbers is even), and this happens only if p itself is even, i.e. if p = 2 since 2 is the only even prime.

All other primes p are odd, so p ² would be odd, and adding 6 would not change that (odd + even = odd).


Related Questions

can I please get some help and correct me if I’m wrong with number 1 and 2

Answers

1) correct
2) -3
3) 15/7
4) -10

Answer:

the answer on 1. is correct

number 2. is -3 not 3

b) In a exam, Biraj got 350 marks and failed by 20 marks lf the percentageof pass marks is 40%, what is the full marks​

Answers

Answer:

925 marks.

Step-by-step explanation:

AS Biraj had 20 less marks then the  40% pass mark must be 350+20 = 370.

370  is equivalent to 40%

So 100% = 100*370 / 40

= 925 marks.

Answer:

[tex][tex] \huge green[ \mid \underline \overline[ \tt BILLIE }} \mid]][/tex] \: sorry \: i \: m \: testing \: something[/tex]

Tickets to the school play cost $9 for adults and $5 for students. The Wilson family bought 3 adult tickets and 4 student tickets. The Jackson family bought 2 adult tickets and 6 student tickets. What was the difference in the amount spent by the two families?

A. $1
B. $24
C. $36
D. $48

Answers

Answer:

A

Step-by-step explanation:

why do I have to write for it to send

The answer is A. $1
The wilson family bought 3 adult tickets and 4 student tickets
9x3=27
4x5=20
27+20=47

The Jackson Family bought 2 adult tickets and 6 student tickets
9x2=18
6x5=30
18+30=48

so $48-$47=$1

I need this answer quick please thanks

Answers

it will be 20 squares in step four

The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.
A. F(x)=2x^2-8x-42
B. F(x)=5x^2+20x-105
C. F(x)=x^2+4x-21
D. F(x)=x^2-4x-21

Answers

The possible functions are

A. F(x)=2x^2-8x-42

B. F(x)=5x^2+20x-105

C. F(x)=x^2+4x-21

How to determine the possible equations?

The zeros are given as:

x = -7 and x = 3

Rewrite as:

x +7 = 0 and x - 3 = 0

Multiply both zeros

(x + 7) * (x - 3) = 0 * 0

Evaluate the product

x^2 + 7x - 3x - 21 = 0

Evaluate the like terms

x^2 + 4x - 21 = 0

Express as a function

f(x) = a(x^2 + 4x - 21)

Where a is a constant

Let a = 1, 2 and  5 (according to the values in the options)

f(x) = 1 * (x^2 + 4x - 21) = x^2 + 4x - 21 --- option (c)

f(x) = 2 * (x^2 + 4x - 21) = 2x^2 + 8x - 42 --- option (a)

f(x) = 5 * (x^2 + 4x - 21) = 5x^2 + 20x - 105 --- option (b)

Hence, the possible functions are (a), (b) and (c)

Read more about quadratic functions at:

https://brainly.com/question/1214333

#SPJ1

The circle's radius is 10 units. Find the length of RH . You may use a calculator's pi button or 3.14 for pi, then round your answer to the nearest tenth.

Explanation please!

Answers

Answer:

RH = 8.2 units

Step-by-step explanation:

total circumference = 2rπ = 2(10)(3.14) = 62.8 units

RH = (47°/360°)(62.8) = 8.2 units

IM GIVING BRAINLIEST PLEASE HELP!!!

Answers

Answer:

B. Distribute

Step-by-step explanation:

The first step is to apply the distributive property.

Please let me know if I was correct

Which statement best describes f(x)=
[tex] - 2 \sqrt{x - 7 } + 1[/tex]

A. 6 is in the domain of f(x) but not in the range of f(x).

B. 6 is not in the domain of f(x) but is in the range of f(x).

C. -6 is in the domain of f(x) and in the range of f(x).

D. 6 is neither in the domain of f(x) nor in the range of f(x).​

Answers

Answer:

D

Step-by-step explanation:

the domain of this is x>=7

the range is x<=1

so 6 is in neither


Can anyone help me with this question please .
I’ll mark you as a brainliest
No links please .

Answers

i’m assuming since the cars are 5 miles from each other then the car going northbound only travels 2 miles because of the car going eastbound had traveled 3 miles 5-3=2

7. If K-
key mov? is the formula for kinetic energy, find the mass (m) of the object if the
kinetic energy (K) is 3872 joules and the velocity (V) is 22 meters/second.
A. 4 kilograms
B. 88 kilograms
C. 352 kilograms
D. 16 kilograms

Answers

B. 88 kilograms .....

I'm taking boyf applications...Ima boy who likes boys btw
add me on discord
h33ern#9874

Answers

Answer:

no one cares

Step-by-step explanation:

simply, no one gives a sh1t!

Answer:

Step-by-step noitanalpxe:

cewl

plzzz help me with this someone!!!!!!!!!!!!!!!!!!!! except the stalker who keeps stalking and if he or she does it again i'm going to reported them!!!!!!!!!!!!!!!!!!! Anyway some help me!!!!! and i'll give you 5 stars?!

Question: You need to buy some fabric to make the masks. You know that you can make 3 1/2 masks with 2 yards of fabric, but you want to make 80 masks. How much fabric do you need to buy?!

Answers

Answer: 23

Step-by-step explanation:

23 yards will give you 80.5 masks, anything less than 23 will give you less than 80 masks.

Also, do you have a link to their page or something? I'm trying to report because they have been bothering multiple people. Would be much appreciated. :)

See the file below to see my question :)
I found a but i dont know how to find B . If you can include a step by step explanation i would appriciate it.

Answers

9514 1404 393

Answer:

a = 3b = -18

Step-by-step explanation:

Using the least common denominator, we have ...

  [tex]2-\dfrac{x+1}{x-2}-\dfrac{x-4}{x+2}\\\\=\dfrac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)}\\\\=\dfrac{2(x^2-4)-(x^2+3x+2)-(x^2-6x+8)}{x^2-4}\\\\=\dfrac{(2-1-1)x^2+(-3+6)x+(-8-2-8)}{x^2-4}=\boxed{\dfrac{3x-18}{x^2-4}}[/tex]

The values of a and b are ...

  a = 3

  b = -18

Hi
Can you help me with this ?
thank you
Have a nice day ​

Answers

25°>>>>>>>>>>>>>>>>>>>>

You want to take 12 shirts, but you can only fit 3 in your suitcase. How many different ways can you choose shirts to pack?

Answers

Answer:

220 ways.

Step-by-step explanation:

This can be gotten by using the formula of combination in statistics.

The formula for combination is given below

nCr = n! / r!(n - r)!, where

r = total number of object, and

n = number of objects we're choosing from

Applying this to the question we have

12C3 = 12! / 3!( 12 - 3)!

12C3 = 12! / 3! * 9!

12C3 = 220

Therefore, we can choose to pack the shirts in 220 different ways

On expression that is equal to 5.1 - 5.9

Answers

Answer:

5.1 - 5.9= 0.8 SO reverse it and do 5.9 - 5.1 and still get 0.8

Hope this helps ヾ(•ω•`)o - Six

Which speed is the fastest?
180 miles/3 hours
240 miles/6 hours
90 miles/2 hours
30 miles/1 hour

Answers

Answer:

180 miles/ 3 hours

Step-by-step explanation:

180 miles / 3 hours is the same as 60 miles per hour

240 miles /6 hours is the same as 45 miles per hour

90 miles / 2 hours is the same as 45 miles per hour as well

and 30 miles per hour just stays like that.

Therefore, 180 miles per  3 hours is the correct answer

Answer:

180/3

Step-by-step explanation:

Hope it helped you have a nice day!<3

The perimeter of a rectangular garden is 68 feet. The length
of the garden is 2 feet more than double the width. What is the
width of the garden?

Answers

Answer:

10 2/3 ft or approximately 10.67 ft

Step-by-step explanation:

Let the width = w

The length is L = 2w + 2.

The perimeter is:

P = 2(L + w)

P = 2(2w + 2 + w)

P = 2(3w + 2)

P = 6w + 4 = 68

6w = 64

w = 64/6

w = 32/3 = 10 2/3

Answer: 10 2/3 ft or approximately 10.67 ft

Which transformation(s) preserve the size & shape of the pre-image?
**SELECT ALL THAT APPLY** *
Translation
Rotation
Reflection
None

Answers

Answer:

rotation and reflection

Billy is saving up to buy a new cell phone he has $45 right now and he can save $6 each month if billy wants to buy a new phone that costs $63 how many months does he have to save up

Answers

3 months is what it takes him to buy the phone

Lisa, Kelly, and Maria have $56.70. If Lisa has $23.20 and Kelly has $15.05, which equation shows how much money, n, Maria has

Answers

Answer:

38.25+n=56.70

Step-by-step explanation:

23.20+15.05+n=56.70

38.25+n=56.70

Answer:

Maria has $18.45.

Explanation:

All three of them have $56.70 all together.

So you would want to add Lisa's amount with Kelly's amount to get how much they have together.

23.20 + 15.05 = 38.25

Then you take the amount of money Lisa and Kelly has together and subtract it from the total amount of money all three of them have together to get Maria's amount.

56.70 - 38.25 = 18.45

Maria has $18.45.

Check:

Add all three of there money amounts together and if you get $56.70 you got the right answer.

23.20 + 15.05 + 18.45 = 56.70

What value on the number line is the
same distance from 0 as -3.75

Answers

0 as 3.75 I think, I hope I helped

Answer:

3.75

Step-by-step explanation:

|-3.75|=3.75

pls help i tried so many answers and none of them are right

Answers

45 square feet

Rectangle: 5*4=20square feet
Parallelogram: 5*2=10square feet
Trapezoid: 4*3=12square feet; 2*3=6 => 6/2=3square feet
20+10+12+3=45square feet
You’re welcome:)

A local bakery charges $2.75 per cupcake.
Which equation best represents y, the total cost
of x number of cupcakes?
A.
y = 2.75 + x
B.
y = 2.75x
C.
x = 2.75y
D.
x = 2.75 + y
Mond

Answers

Answer:

B

Step-by-step explanation:

y = 2.75x

have a great day

Answer:

B. y = 2.75x

Step-by-step explanation: Since Y represents the total cost that means that the total cost is how ever many cupcakes one were to buy. Since each cupcake is $2.75 and you are buying X amount of cupcakes, the total would be 2.75 ~multiply~ X. Thus, giving you your final answer of y=2.75x.

Find the mean of the data below. answer to the nearest hundredth:
23, 42, 38, 67, 15, 51, 22, 9, 42

Answers

Answer: 34.3

Step-by-step explanation:

23+42+38+67+15+51+22+9+42=309

309/9

34.333333

34.3

Answer:

9, 15,22,23,38,42,42,51,67

A man's basic wage for a 40-hour week is $160.00. He is paid $5.00 per hour for overtime. If He works 6 1/2 hours overtime in a certain week, his wage for that week is?

Answers

$192.50




Blah blah blah blah blah blah

Answer:

im guessing you add the overtime work money to the weeks normal wage, which would be 192.5$.

Step-by-step explanation:

6.5 hours x 5/hr$ = 32.5$ + 160$

The initial number of views for a blog was 10. The number of views is expected to grow at a rate of 15% per week. How many views are expected in 5 weeks?

Answers

Answer:

20 views

Step-by-step explanation:

Initial number = 10Weekly growth rate = 15% or 1.15 times

Equation for this relationship:

V(t) = 10*1.15^t, where t - number of weeks

Number of views in 5 weeks:

V(5) = 10*1.15^5 = 20 views (rounded)

any clue how to do this question?

Answers

Answer:

I think that you multiply the 2 numbers by x and b,

Step-by-step explanation:

Find the potential solution to the equation
log (2-x) = log (-5x - 18).

x=

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of logarithms.

Since here the log is on both sides, we take antilog on both sides, so we get as,

==> 2-x = -5x - 18

==> -x + 5x = -18 -2

==> 4x = -20

==> x = -20/4

==> x = -5

hence, x = -5

I need help with this problem please!!!​

Answers

Answer:

the answer is 1188

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

The answer is 1188 ok this is the answer
Other Questions
helppppppppp id.k this I'm not done yet, but what do you thinkHer world is made up of booksBut no one would dare to lookTo see if shes really thereHidden between stacks of booksRight over there in the corner No one would dare sit next to herBut when you look closer Shes a bit of a blurrFor her life is made of ink and paperIdeas and moreFor she is her own makerHer life may not be of warBut its not of happiness eitherShe has no friendsAnd doesnt mindBecause the books that she spendsAre her one and only true friend Find the indicated measure. Round answers to the nearest hundredth. Which type of tectonic plate interaction forms a mid ocean ridge? Which of the following types of meter is most common in Western music?irregularfastOOOOlongregular On a farm, the farmer decides to give pizza to her 18 ducks as a special treat. She orders 3 pizzas, and the total price is $26.28. What is the unit price of each pizza? $4.38 $8.76 $23.28 $78.84 Show how artificial selection could be used to develop a new breed of wheat with higher fiber content help me please!:(this is geometry How do you find the volume of a cylinder?? government as an academic field of study what is x=16? 2348 Which statement best completes the timeline?Earlycivilizationsdevelop inancientEgyptThe Kushcivilizationcontrols theNile RiverregionCarthagebuilds anorthernAfricanempire?Islambecomes themajor religionof northernAfricaA. The Abbasid caliphate conquers northern Africa.B. European colonists conquer northern Africa.C. Alexander the Great conquers northern Africa.D. The Roman Empire conquers northern Africa. Select all the expressions that are equivalent to x2+4x. (^2 means raising something to the 2nd power.) The graph shows the distance traveled by an Olympic-level sprinter over time during a race.Find the slope of the line, and complete the sentences below.100-meter Racety10080Distance (m)604020002104 6 8Time (s)The slope of the line is Choose..The slope representsChoose. If you answer this fast I will rate 5 stars, brainly, heart for a thanks here's the link- https://www.poemhunter.com/donald-bruce-dawe/what is the MLA or you can call it work site.the poem is called Homecoming. What if social media was never created? Think about how this would affect you and the world around you. Would this be a positive or negative switch? Be detailed when providing your answer. The sequence of mRNA is AGUACA. Which of these is the sequence oftRNA? *UCAUGUAGTACAAGUACATCATGT If you place a 28-foot ladder against the top of a 22 foot building Which fraction contains the largest molecules?A) dieselB)gasoline C)kerosene? he controller of Wildhorse Industries has collected the following monthly expense data for use in analyzing the cost behavior of maintenance costs. Month Total Maintenance Costs Total Machine Hours January $2,925 3,880 February 3,324 4,432 March 3,989 6,648 April 4,986 8,753 May 3,546 5,540 June 5,420 8,870 (a1) Determine the variable-cost components using the high-low method. (Round answer to 2 decimal places e.g. 2.25.) Variable cost per machine hour $