Answer:
The factors for 5 are going to be 1 and 5 or their negative counterparts, since no other whole number within the range of 5 can be multiplied to get 5.
Make sense?
It’s A
As it says in the answer, you usually add / subtract the exponents when needed.
Cramer's rule works as follows:
x+3y=16
3x+y=8
Then
x=Dx/D
y=Dy/D
where Dx,Dy,D are 2x2 matrices formed from of coefficients and right hand side.
D=
1 3
3 1
=1-9=-8
Dx=matrix D with first column replaced by the vector [16,8]=
16,3
8 1
=16-24
=-8
Dy=matrix D with second column replaced by the vector [16,8]=
1 16
3 8
=8-48
=-40
Therefore
x=-8/-8=1
y=--40/-8=5
Check:
x+3y=1+3(5)=16
3x+y=3(1)+5=8 ok.
Answer:
15
Step-by-step explanation:
Rate of change is the slope of the tangent which will be the derivative of the function
if f(x) = 3x² - 4
f'(x) = 6x
as the derivative is linear, the average rate of change will occur at the midpoint of the interval
f'(2.5) = 6(2.5) = 15