; where a = 1, b = -4 and c = 8
Answer:
Part 1) ----->
Part 2) ---->
Part 3) ----> All real numbers
Part 4) ---->
Step-by-step explanation:
we know that
The domain of a function is the set of all possible values of x
Part 1) we have
we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=0 the function is not defined
therefore
The domain is
Part 2) we have
we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=-4 the function is not defined
therefore
The domain is
Part 3) we have
Applying the distributive property
This is a vertical parabola open upward
The function is defined by all the values of x
therefore
The domain is all real numbers
Part 4) we have
we know that
In a quotient the denominator cannot be equal to zero
so
Equate the denominator to zero
Remember that
(
The solution is x=-4
so
For the value of x=-4 the function is not defined
therefore
The domain is
To solve this, you would divide 5 from 1, to get 1/5 cups of sugar
Answer: True.
The ancient Greeks could bisect an angle using only a compass and straightedge.
Step-by-step explanation:
The ancient Greek mathematician <em>Euclid</em> who is known as inventor of geometry.
The Greeks could not do arithmetic. They had only whole numbers. They do not have zero and negative numbers.
Thus, Euclid and the another Greeks had the problem of finding the position of an angle bisector.
This lead to the constructions using compass and straightedge. Therefore, the straightedge has no markings. It is definitely not a graduated-rule.
As a substitute for using arithmetic, Euclid and the Greeks learnt to solve the problems graphically by drawing shapes .
To complete the square (x+2/5)^2 it would be x^2+(4/5)x+4/25