1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
spayn [35]
3 years ago
14

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

Mathematics
1 answer:
storchak [24]3 years ago
6 0

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

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

You might be interested in
Use the piecewise function to evaluate points f(–1), f(2), and f(12).​
scoundrel [369]

Answer:

Step-by-step explanation:

f(- 1) = - 1 + 4 = 3

f(2) = 2 + 4 = 6

f(12) = 4(12) - 7 = 41

3 0
3 years ago
Read 2 more answers
Is this linear or non linear?<br> x. 0,2,4,6<br> y. 2,6,18,38
quester [9]
I’m pretty sure that will be linear.
3 0
3 years ago
Amy sells tote bags at a craft fair for a day. She pays$50 to rent a booth. The materials and labor cost on each is $3.50. Her e
rjkz [21]
If you want the expression, the expression would be:

3.5x+50
6 0
3 years ago
12a + 5 minus 8a = negative 1
Rudiy27

Answer:

a is equal to 0.3

Step-by-step explanation:

12a + 5 -8a =-1

(collect like terms)

12a + 8a= -1 -5

20a = -6

a= -6÷20

a= 3÷ 10

a= 0.3

6 0
3 years ago
Can someone tell me what I did wrong here
Soloha48 [4]

Answer:

no roots.

Step-by-step explanation:

1)   \sqrt{8x+16}=2-8; \ - \ correct;

2)   \sqrt{8x+16}=-6; \ - \ correct;

note, the value after operation 'square root' cannot be negative ('-6' is on the right side!), then

3) it means, the given equation has no real roots.

8 0
2 years ago
Other questions:
  • Determine the general form of the equation for the circle (x – 1)2 + (y + 2)2 = 3.
    8·1 answer
  • The water company that serves St. George Island charges a base facility fee of $32.00 each month. In addition, they charge $6.53
    14·1 answer
  • What is the unit for the volume of a plastic block
    13·1 answer
  • If the 2/5 of a number exceeds 1/7 of the same number by 36 then the number is
    6·1 answer
  • 2. The cost for x gallons of heating oil can be represented by the function f (x) = 4x + 6. In the context
    7·1 answer
  • Dawit was earning $100 per week in January. He got a raise of 10% in March, but then a 10% reduction after changing jobs in Augu
    12·2 answers
  • Which expression is equivalent to 3x – 5?
    14·2 answers
  • Serena is trying to become more environmentally conscious by making her own cleaning products. She researches different cleaners
    7·1 answer
  • 4. If m23 = 54°, find each measure.
    9·1 answer
  • I need help please Asap
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!