Reflection rule in the x-axis:
g(x) = - f(x)
f(x) = 3x+12
g(x) = - f(x) = -3x-12
The correct choice is option (C)
Answer:
- 77x + 42
Step-by-step explanation:
note that (f ○ g)(x) = f(g(x)
Substitute x = g(x) into f(x)
f(g(x))
= f(7x - 4)
= - 11(7x - 4) - 2
= - 77x + 44 - 2
= - 77x + 42
Answer:
x=-8
Step-by-step explanation:
collect like terms
-5x=40
divide both sides of the equation by -5
so the answer would be x=-8
Answer:

Step-by-step explanation:
This is a conditional probability exercise.
Let's name the events :
I : ''A person is infected''
NI : ''A person is not infected''
PT : ''The test is positive''
NT : ''The test is negative''
The conditional probability equation is :
Given two events A and B :
P(A/B) = P(A ∩ B) / P(B)

P(A/B) is the probability of the event A given that the event B happened
P(A ∩ B) is the probability of the event (A ∩ B)
(A ∩ B) is the event where A and B happened at the same time
In the exercise :



We are looking for P(I/PT) :
P(I/PT)=P(I∩ PT)/ P(PT)

P(PT/I)=P(PT∩ I)/P(I)
0.904=P(PT∩ I)/0.025
P(PT∩ I)=0.904 x 0.025
P(PT∩ I) = 0.0226
P(PT/NI)=0.041
P(PT/NI)=P(PT∩ NI)/P(NI)
0.041=P(PT∩ NI)/0.975
P(PT∩ NI) = 0.041 x 0.975
P(PT∩ NI) = 0.039975
P(PT) = P(PT∩ I)+P(PT∩ NI)
P(PT)= 0.0226 + 0.039975
P(PT) = 0.062575
P(I/PT) = P(PT∩I)/P(PT)

Answer:
x = 3t/b
Step-by-step explanation:
Step 1: Multiply both sides by 3
t = bx/3
3t = bx
Step 2: Divide both sides by <em>b</em>
3t/b = x