Answer:

Step-by-step explanation:
GIVEN: The weight, in pounds, of a newborn baby
months after birth can be modeled by the function
.
TO FIND: What is the y-intercept of the function and what is its interpretation in the context of the problem.
SOLUTION:
in 
if 

Hence y-intercept is 
the y-intercept in this represents the weight of baby just after he is born.
Answer: The consultant earn $50 each hour.
Explanation:
It is given that for 4 hours of work, the consultant charges $400. For 5 hours of work, she charges $450. The amount that a consultant charges for her work can be modeled using a linear function.
If the linear function represents the amount earn by consultant in hours the the coordinates can be written as (4, 400) and (5, 450).
If we want to find how much money does the consultant earn each hour, so first we have to find the slope of linear function which passing through two points (4, 400) and (5, 450).




In the linear function the slope show the earning of consultant per hour, therefore consultant earn $50 each hour.
Answer: Union of two sets.
Explanation: "An element is in the union of two sets if it is in the first set, the second set, or both. The symbol we use for the union is ∪ . The word that you will often see that indicates a union is "or".
Your Welcome :-)
Answer:

Step-by-step explanation:
Number of drivers Screened = 671
Number Arrested for Driving While Intoxicating = 7
If the W denotes the event of screening a driver and getting someone who is intoxicated.
The Probability of W, 
- The Probability
is the probability of the event of screening a driver and getting someone who is not intoxicated. Simply put, it is the Probability of the Complement of W.
From Probability Theorem,

Answer:
See below
Step-by-step explanation:
We shall prove that for all
. This tells us that 3 divides 4^n+5 with a remainder of zero.
If we let
, then we have
, and evidently,
.
Assume that
is divisible by
for
. Then, by this assumption,
.
Now, let
. Then:

Since
, we may conclude, by the axiom of induction, that the property holds for all
.