Answer:

Step-by-step explanation:
Begin to factor by using GCF by finding the greatest common factor. Here it is k.

We will rearrange and factor the trinomial.

Answer:
a. discrete random variable
Step-by-step explanation:
A discrete random variable is one which may take on only a countable number of distinct values such as 0, 1, 2, 3, 4, etc. Discrete random variables are usually countable.
From the question:
The experiment consist of making 80 telephone calls in order to sell a particular insurance policy. 80 here is the random variable; 80 is countable anf finite.
So, 80 is a discrete random variable
Answer:
The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.
Step-by-step explanation:
In order to solve this problem we will attribute variables to the ages of Michael and his father. For his father age we will attribute a variable called "f" and for Michael's age we will attribute a variable called "x". The first information that the problem gives us is that Michael's dad is 30 years of age, so we have:
f = 30
Then the problem states that the age of the father is 2 years "more" than four "times" Michaels age. The "more" implies a sum and the "times" implies a product, so we have:
f = 2 + 4*x
We can now find Michael's age, for that we need to isolate the "x" variable. We have:
f - 2 = 4*x
4*x = f - 2
x = (f-2)/4
x = (30 - 2)/4 = 7 years
The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.
Given:


The general equation is

m is a slope and c is the y-intercept.
From equation (1),

From equation (2)

From equation (1) and (2)
Substitute equation (2) in (1)





Substitute in (2)
a)
Using 2 points (6,9) and (10, 13)
b)
Slope = (13 - 9) / (10 - 6) = 4/4 = 1
Slope = 1
c)
Point slope form
y - 9 = 1(x - 6)
or
y - 13 = 1(x - 10)
Hope it helps