Answer:
a. 4
b. 132
Step-by-step explanation:
Plugg in the equation in desmos graphing calculator and the find the vertex to find the answer.
(Are you doing this in pearson?)
Let F(x) = x^2 + 2x -8
Adding 1 and - 1 at equation
F(x) = x^2 + 2x + 1 - 1 -8
Rewrinting the first 1 = 1^2
F(x) = x^2 + 2x + 1^2 - 1 - 8
Now look:
x^2 + 2x + 1^2 = ( x + 1)^2
Then,
F(x) = (x + 1)^2 -1 -8
F(x) = (x + 1)^2 -9
This is the answer !
If us to want.
(x + 1)^2 -9 = ( x+1)^2 - 3^2
= ( x+ 1 -3).(x +1 +3)
= ( x - 2).(x +4)
1. Factor by grouping: (16x^2+20x)(20x+25)
2. 4x(4x+5)+5(4x+5)
3. (4x+5)(4x+5)
4. (4x+5)^2
Answer:
0.405 or 40.5%
Step-by-step explanation:
Let event A=having a periodontal disease
event B=having a heart attack
we are given
P(A)=P(having a periodontal disease)=0.30
P(B)=P(having a heart attack)=0.15
P(A/B)=P(have a periodontal disease/have a heart attack)=0.81
P(B/A)=P(have a heart attack/have a periodontal disease)=?
P(A/B)=P(A∩B)/P(B)
P(A∩B)=P(B)*P(A/B)=0.15*0.81=0.1215
P(B/A)=P(A∩B)/P(A)=0.1215/0.3=0.405
There is 40.5% probability that if someone has periodontal disease will have a heart attack.
