Answer:
Option D.
Step-by-step explanation:
The given expression is

It is a polynomial.
(x-c) is a linear factor of polynomial p(x) if p(c)=0.
Substitute x=-1 in the given expression.

It means (x+1) is not a linear factor of given expression.
Substitute x=-2 in the given expression.

It means (x+2) is not a linear factor of given expression.
Substitute x=-4 in the given expression.

It means (x+4) is not a linear factor of given expression.
None of the given options are a linear factor of given expression.
Therefore, the correct option is D.
The answer is 16
Refer image for working :-
Drop comments if any doubt arises.
Hope you could understand.
If you have any query, feel free to ask.
Answer:
6 hours
Step-by-step explanation:
Answer:
6 hours
Step-by-step explanation:
Firstly, it is important to know where the train that leaves Washington will get after one hour since they didn't start at the same time between noon and 1 is 1 hour.
Speed = distance / time
Distance = speed * time
The distance S = 44 * 1
S= 44m
To determine the time they will pass each other
500(total distance)- 44 ( distance gotten to in 1 hour) - d(the distance it willl pass each other =44* t(time the train will pass each other.
456-d =44t
Second train
d = 32t
Substituting to the equation
456-32t=44t
456=76t
t= 6 hours.
The time they will pass each other is six hours.
Answer:
(- 1, - 1 )
Step-by-step explanation:
under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
(- 1, 4 ) → (- 1, - 4 )
a translation of 3 units up means adding 3 to the y- coordinate , so
(- 1, - 4 ) → (- 1, - 4 + 3 ) → (- 1, - 1 )