Question says about what number can you add to
to get a rational number.
We know that rational numbers are the numbers which are written in form of p/q where p and q both are integers.
but q can never be 0.
If we add only some integer or real number to
then we will still get irrational number which is not of the form p/q.
so the only way to finish the radical part is to use the opposite of that
which is -
As you can see that
-
= 0
and we know that 0 is a rational number because that can be written as 0/1 in p/q form.
Hence final answer is -
Fisrst distribute
-18(15x-17)=-18(15x)-18(-17)=-270x+306
now we got
-14-270x+306
-270x+306-14
-270x+292
The answer is 28 hope this helps!!!
Answer:
Initial value
, rate of change:
Step-by-step explanation:
Step 1
Find the rate of change
we know that
In a linear equation the rate of change is equal to the slope
The formula to calculate the slope between two points is equal to
we have
Substitute the values
----> rate of change
Step 2
Find the initial value
The equation of the line into slope-point form is equal to
Substitute

The initial value is the value of y when the value of x is equal to zero (is the y-intercept)
----> initial value
Answer:
The set A ∩ B contain {6, 12}
Step-by-step explanation:
Given : set A = {3, 6, 9, 12} and set B = {2, 4, 6, 8, 10, 12}
We have to find A ∩ B
Consider the given sets
Set A = {3, 6, 9, 12}
and set B = {2, 4, 6, 8, 10, 12}
Since, A ∩ B includes those elements that are both in set A and set B.
Thus, the common elements of A and B are 6 and 12
So , the set A ∩ B contain {6, 12}