We have the following function:
So if we graph this function we will get the Figure below. Thus, let's study both the equation and the graph to get some conclusions. Therefore, we can assure these statements:
First. The function is defined only for
as shown in the Figure. This is also true because of
where
must be greater (or equal) than zero.
Second. The range of the function are the values of
.
Third. If
creases then
always creases, too.
Answer:
Step-by-step explanation:
The descryption gives you the above <em>Slope-Intercept Equation</em>. Parallel equations have SIMILAR <em>RATE</em><em> </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], therefore 
remains as is, and perfourming 
will give you that answer.
I am joyous to assist you at any time.
To make a fraction into simplest form you have to find the greatest common factor. In this case it is 5. So then you divide both the numerator and the denominator by the greatest common factor of 5.
15÷5=3
100÷5=20
There is no factors that go into both 3 and 20 so simplest form is 3/20.
It would be: 567/18 = 31.5
So, she needs atleast 32 shelves....
Answer:the length of each side of the larger square is 6 centimeters.
Step-by-step explanation:
Let x represent the length of each side of the small square.
Let y represent the length of each side of the Large square.
The area of the small square is x^2
The area of the large square is y^2
The combined area of two squares is 45 square centimeters. This means that
x^2 + y^2 = 45 - - - - - - - - - - -1
Each side of one square is twice as long as a side of the other square. This means that
y = 2x
Substituting y = 2x into equation 1, it becomes
x^2 + (2x)^2 = 45
x^2 + 4x^2 = 45
5x^2 = 45
x^2 = 45/5 = 9
x = √9 = 3
Substituting x = 3 into y = 2x, it becomes
y = 2 × 3 = 6 centimeters
