Given:
Expression is

To prove:
If r is any rational number, then
is rational.
Step-by-step explanation:
Property 1: Every integer is a rational number. It is Theorem 4.3.1.
Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.
Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.
Let r be any rational number.
We have,

It can be written as

Now,
3, -2 and 4 are rational numbers by property 1.
is rational by Property 3.
are rational by Property 3.
is rational by property 2.
So,
is rational.
Hence proved.
Answer:
there are no two numbers that have a product of 12 and a sum of 5 make sure that the question is correct
yo can find two numbers that have a product of 12 and a sum of 7 the answer is 3 and 4 .
Step-by-step explanation:
The answer is A) 7x103 is 3.5 times larger than 2x103
4
Step-by-step explanation:
8/5(put 8 as numerator becuz we need to find all x from 5/8) x 2 1/2=4