3 years ago

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

1 answer:

6 0

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).

You might be interested in

2 ÷ 4⁄5 no work needed

kodGreya [7K]

The answer to this question is :
2 1/2

7 0

3 years ago

Read 2 more answers

Simply 6 square root of 45

storchak [24]

Answer:

40.24922.........

Step-by-step explanation:

7 0

3 years ago

Cal is measuring temperature changes in four substances over different time periods as part of a school project. Which data show

djyliett [7]

Answer:

C) The third table. K= 5

$C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5$

Step-by-step explanation:

1) Below there are the missing data:

A proportional relationship through a constant k. It is obtained when we divide:

$k=\frac{y}{x}$

2)In this case, when we divide the temperature (T) by the time (h).

$k=\frac{T}{h}$

3)So, examining the table below we are searching for a ratio k common to all measures (temperatures over hour).

$A) \frac{12}{3}\neq\frac{25}{5}\neq\frac{36}{6}\neq\frac{81}{9}\\B) \frac{22.5}{3}\neq\frac{30}{4}\neq\frac{52.5}{7}\neq\frac{67.5}{8}\\C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5\\D)\frac{8.5}{2}\neq\frac{22.5}{5}\neq\frac{28.5}{7}\neq\frac{36}{8}$