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:
To figure out if 2 lines are parallel, compare their slopes. You can find the slope of a line by picking 2 points with XY coordinates, then put those coordinates into the formula Y2 minus Y1 divided by X2 minus X1. Calculate the slope of both lines. If they are the same, then the lines are parallel.
Step-by-step explanation:
To figure out if 2 lines are parallel, compare their slopes. You can find the slope of a line by picking 2 points with XY coordinates, then put those coordinates into the formula Y2 minus Y1 divided by X2 minus X1. Calculate the slope of both lines. If they are the same, then the lines are parallel.
Answer:
21%
Step-by-step explanation:
Actually there are three levels of process here.
If 100 calls are made only 70 calls are completed (since 30%not completed)
Out of these 70 completed we find that 40% i.e. 28 calls to a woman and 30% i.e. 21 go to a man.
28 females and 21 males
Out of 28 females 45% buy something =
Out of 21 males 40% buy something = 
Total percent of calls result in a sale = 
So 21% of calls result in a sale
Answer:
Step-by-step explanation: I think it’s option D, f(X) shifts 3 units to the right .
Answer:
Step-by-step explanation:
An irrational number is a number that isn't a whole number (integer).
= 7.07
= 1
= 5
= 3
The first one is the only one that isn't an integer. So it is the answer.
