5x + 12 + 3x = 6(x + 4)
5x+3x+12=6(x+4)
Multiply the bracket by 6
(6)(x)(6)(+4)=6x+24
5x+3x+12=6x+24
8x+12=6x+24
Move 6x to the other side. Sign changes from +6x to -6x.
8x-6x+12=6x-6x+24
8x-6x+12=24
2x+12=24
Move 12 to the other side. Sign changes from +12 to -12.
2x+12-12=24-12
2x=12
Divide by 2 for both sides.
2x/2=12/2
x=6
Answer: x=6
Answer:
Step-by-step explanation:
If α + β are the roots of the equation ax² + bx + c = 0 then
(x - α)(x - β) = 0, that is
x² - x(α + β) + αβ = 0
comparing the equation with ax² + bx + c = 0 ( ie. x² + 
+ 
= 0 ) then
α + β = - 
, αβ =
comparing 3x² - 12x + 7 = 0 with ax² + bx + c = 0, gives
a = 3, b = - 12, c = 7, hence
α + β = - 
= 4 and αβ = 
(α + β)² = α² + β² + 2αβ
α² + β² = (α + β)² - 2αβ = 4² - 
=
<u>Answer:</u>
The correct answer option is P (S∩LC) = 0.16.
<u>Step-by-step explanation:</u>
It is known that the probability if someone is a smoker is P(S)=0.29 and the probability that someone has lung cancer, given that they are also smoker is P(LC|S)=0.552.
So using the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).
P (LC|S) = P (S∩LC) / P (S)
Substituting the given values to get:
0.552 = P(S∩LC) / 0.29
P (S∩LC) = 0.552 × 0.29 = 0.16
