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).

6 0

2 years ago

A proportional relationship is shown in the table below: what is the slope and what numbers do i graph. ty besties

dangina [55]

Answer:

The slope of the line is $m = \frac{3}{5}$ and the equation of the line is $y = \frac{3}{5}\cdot x$ .

Step-by-step explanation:

From table we understand that slope of the line is constant, that is, for each change of $x$ there is one and only change in $y$ , fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:

$m = \frac{y_{f}-y_{o}}{x_{f}-x_{o}}$ (1)

Where:

$x_{o}, x_{f}$ - Initial and final x-coordinates of the line.

$y_{o}, y_{f}$ - Initial and final y-coordinates of the line.

If we know that $(x_{o}, y_{o}) = (0,0)$ and $(x_{f},y_{f}) = (8,4.8)$ , then the slope of the line is:

$m = \frac{4.8-0}{8-0}$

$m = \frac{3}{5}$

From graph we conclude that x-intercept of the line is $b = 0$ . Hence, the equation of the line is $y = \frac{3}{5}\cdot x$ and we proceed to plot the expression with the help of a graphing tool.

5 0

2 years ago

4. Making financial decisions is fairly rare; most people make only a few during their lifetime. True False

yaroslaw [1]

The answer is false.

6 0

3 years ago