Step 1
distribute the -3
-3(y-5)=24
-3y+15=24
step 2
subtract 15 from both sides
-3y =9
Step 3
divide -3 on both sides
y=-3
Given :
A function, f(x) = -6 + 12
To Find :
The value of f(x) when x= -3, x= 0 and x=1.
Solution :
Given function is f(x) = -6 + 12 .
Simplifying above function, we get :
f(x) = 6
Now, the given function is independent of x.
So, for any value of x the the value of functions remains constant.
Hence, this is the required solution.
Answer:
Option (a) is true.
Step-by-step explanation:
Given the function
(f∘g)(x) = f(g(x)) = f(x²-3) = (x²-3)+5
= x² + 2
Thus,
f(g(x)) = x² + 2
Therefore, option (a) is true.
Answer:
The first one
Step-by-step explanation:
The probability is 56/100, or 14/25 = 0.56.
These events are not mutually exclusive, meaning they can happen at the same time. This means we use
P(A or B) = P(A) + P(B) - P(A and B)
P(carpool or full time) = P(carpool) + P(full time) - P(carpool & full time)
There are 6+9=15 people out of 100 that carpool.
There are 7+4+30+6=47 people out of 100 that work full time.
There are 6 people out of 100 that carpool and work full time.
This gives us
15/100 + 47/100 - 6/100 = 56/100
