Find a vector perpendicular to the plane that passes through the points P(4,1,10)
,
Q(2,4,7)
, and
R(1,4,4)
.
⟨−3,−9,3⟩
⟨−3,3,−9⟩
⟨−9,3,−3⟩
⟨−9,−3,3⟩

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).

hello,

as we don't know if g(x) is continue,

answer b

f(x)=2x²-8x+1=2(x²-4x+4)+1-8=2(x-2)²-7

vertex is (2,-7) ( a minimum since coefficient of x² is > 0)