A=<1,-3,2> and b=<-1,3,-2>
a-3b=<1,-3,2>-3<-1,3,-2>
a-3b=<1,-3,2>-<3(-1),3(3),3(-2)>
a-3b=<1,-3,2>-<-3,9,-6>
a-3b=<1-(-3),-3-9,2-(-6)>
a-3b=<1+3,-12,2+6>
a-3b=<4,-12,8>
Answer: a-3b=<4,-12,8>
I believe that a box of 50 for $23.59 would be a better deal because 23.50 divided by 50 would equal 0.47, or in this case, 47 cents. 44.95 divided by 100 equals 0.4495, or 4495 cents. I think I'm wrong, but you can take this answer if you'd like
Answer:
vertex = (3, 6 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 2(x - 3)² + 6 ← is in vertex form
with vertex = (h, k ) = (3, 6 )
Answer:
43,758 different swimmer squad
Step-by-step explanation:
Given;
Total Number of athletes n = 18
Number of athletes needed to be selected r = 8
For this case, the coach need to select 8 players from a total of 18 athletes with no particular order. So, this is a combination case since the order of selection is not relevant.
The number of different swimmer squads the coach could select is;
S = nCr
nCr = n!/(r!×(n-r)!)
Substituting the values of n and r;
S = 18C8
S = 18!÷(8! × (18-8)!)
S = 18! ÷ (8!×10!)
S = 43,758
Therefore, he can select 43,758 possible different squads
