83x+P=83x+Q
subtract 83x from each side
P=Q
if P does not Q there are no solutions
the lines would be parallel and never intersect if Q does not equal P
We can factor this by using grouping. Take the leading coefficient and multiply it by the constant. In this case we get 5*-7 = -35.
Now we need 2 numbers that add to 2 and multiply to be -35. The numbers are -5 and 7.
So split the 2r into these two terms and group.
(5r^2 - 5r) + (7r - 7)
Factor both groups.
5r(r-1) + 7(r-1)
The factors of (r-1) can be added together to get the answer.
(r-1)(5r+7)
Answer:
A
Step-by-step explanation:
Answer:

Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors.
Like this :
First year 100x0.05 = 5
Second year 100x0.05 = 5
Third year 100x0.05 = 5
Total interest 15$ for three year + the original amount mean 100
Total after three year
$115
Because the interest not compounded mean : where previously accumulated interest is not added to the principal amount of the current period, so there is no compounding.