Answer:
Step-by-step explanation:
f(x) = 1/4 x²+bx+10
the derivate is : f'(x) = 1/2 x +b
you have : f'(6)=0
1/2 (6)+b=0
3+b =0
b = -3
so f(x) = 1/4 x²-3x+10.......f(6) =1/4(6)² -3(6)+10 =9-18+10 =1
f(x) = 1/4(x-6)²+1... the vertex form
Answer:
27 28 29
Step-by-step explanation:
Let the first be n , and if they are consecutive then the next two numbers are n+1 and n+2.
n+(n+1)+(n+2)=84.
3n+3=84.
⇒3n=81.
⇒n=27.
Hence numbers are n,n+1,n+2→27,28 and 29
Answer:
c = - 32
Step-by-step explanation:
The common ratio r of the sequence is
r =
=
= - 2
To find the next term in the sequence multiply the previous term by r
a = 4 × - 2 = - 8
b = - 8 × - 2 = 16
c = 16 × - 2 = - 32
The probability is always between 0 and 1 inclusive. If the probability is 0, the event is definitely not going to occur, and if the probability is 1, the event will definitely occur.
Now, if the probability of a chance event is close to 0, then the event is unlikely to occur.