The equation of line a is obtained by multiplying the equation of line b by 4. i.e. there are linearly dependent and hence there are infinitely many solutions to the set of equations.
Sophie has factored the term completely while Carlos has not factored the term completely.
Step-by-step explanation:
We need to factor the trinomial:
Factoring:
So, the factored form of is
So, Sophie has factored the term completely. The terms are factored when we cannot further simplify it. Since Carlos factored (x+3)(-4x+2) 2 can be taken common from the term (-4x+2) so, it is not factored completely.
The opposite of a negative number is the positive version of it which is 3.5 and the absolute value of a number is always the positive version of a number which would make it also 3.5. For example absolute value of -4 is 4 and absolute value of 5 is 5.