
Use the rational root theorem:

=16,

=1
The dividers of

: 1,2,4,8,16
The dividers of

: 1
Therefore, check the following rational numbers: +-


is a root of the expression, so factor out x-4
Compute

to get the rest of the equation.

Cancel the common factor:

is the final answer
Answer: r = 1
Step-by-step explanation:
The slope of a line can be represented as
. Plugging in the following values would provide you with:




Hope it helps :) and let me know if you want me to elaborate on anything.
Answer:
a
Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint
b
The number is 
c
The price is 
Step-by-step explanation:
From the question we are told that
The ratio of the number of cups of blue paint to the number of cups of red paint is 
Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint
Given that 1 cup of red paint => 3 cups of blue paint
x cup of red paint => 1 cup of blue paint
So

=> 
Generally the unit price of a cup of blue paint is mathematically represented as

=> 
Answer:
21. 162 (rounded to nearest thousandth)
Step-by-step explanation:
Area of a sector: (degree/360) (pi*radius^2)
degree given= 97
radius= diameter/2 = 5
(97/360) (pi*5^2)
(97/360) (pi*25) = 21.16211718
If there are n people, each person could shake hands with 0 people, 1 person, 2 people,... on up to shaking hands with n − 1
people. Count how many different answers there are to asking the person the question "How many hands did you shake?" How many people are there? If the people are the pigeons, and the possible answers to the question "how many hands did you shake" are the holes, can we conclude anything yet? No? How about now noticing that at least one of the holes "I shook hands with noone" or "I shook hands with everyone" has to be empty... now what?
"Since there are more pigeons than holes there must be a hole with at least two pigeons in the same hole" Now, replace the word "pigeons" and "holes" with the appropriate terms for the context of your specific question, remember we are talking about people and number of handshakes they participated in.