Answer:
Remainder= 5, and the binomial
is not a factor of the given polynomial.
Step-by-step explanation:
Given polynomial is
, we have to divide this with a binomial [tex}(x-1)[/tex] using remainder theorem.
Remainder theorem says if
is a factor then remiander would be 
Therefore for 

Thus the remainder is 5 and since it is not 0 , so the binomial
is not a factor of the given polynomial.
Answer:
He has 26 students
Step-by-step explanation:
78/3=26
Answer:
y= -6/5x -3
Step-by-step explanation:
So for now lets bring it into mx + b format
Subtract 6x from both sides to isolate y which is also called subtraction property of equality.
so 5y = -6x -15
Now you divide both sides by 5 which is called division property of equality.
You now have y = -6/5x - 3
y= -6/5x -3 is the slope intercept form of the standard form equation of 6x + 5y = -15.
Hope this helps!
The volume of a sphere is defined as:
V=(4*pi*r^3)/3
then, if we double the radius of the sphere (r=2r):
V=(4*pi*(2r)^3)/3
V=(4*pi*(2^3*r^3))/3
V=(4*pi*r^3)/3*8
Then, the answer is that if you double the radius of the sphere, its volume is increased 8 times.