Answer:
k = -6/35
Step-by-step explanation:
To make the function continuous
kx^2 = x+k
These must be equal where the function is defined for two different intervals
This is at the point x=-6 so let x=-6
k(-6)^2 = -6+k
36k = -6+k
Subtract k from each side
36k-k = -6+k-k
35k = -6
Divide by 35
35k/35 = -6/35
k = -6/35
3(3) - (-8)/4 = 9 + 2 = 11 so (3,-8) is solution
3(4) - 4/4 = 12 - 1 = 11 so (4,4) is solution
answer
C. both ordered airs are solutions
Answer:
Step-by-step explanation:
x^2+14x+45=0
x^2+(9+5)x+45=0
x^2+9x+5x+45
x(x+9)+5(x+9)=0
(x+9)(x+5)=0
either x+9=0 Or,x+5=0
x+9=0
x=0-9
x=-9
x+5=0
x=0-5
x=-5
therefore x=-9,-5
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.