After recording the maximum distance possible when driving a new electric car this study showed the distance is follow the norma
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Answer: There are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.
There are 5 red fabrics and 11 gold fabrics that would be used for each curtain.
Step-by-step explanation:
Since we have given that
Number of yards of red fabric purchased by Jane = 50
Number of yards of gold fabric purchased by Jane = 110
We need to find the largest number of curtains she can make if she wants all the curtains to be exactly the same length.
For this we will find H.C.F. of 50 and 110.
Factors of 50 = 1, 2, 5, 10, 25, 50.
Factors of 110 = 1, 2, 5, 10, 11, 22, 55, 110.
So, Highest common factor of 50 and 110 is 10.
So, there are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.
Number of yards of red fabric is given by
Number of yards of gold fabric is given by
Hence, there are 5 red fabrics and 11 gold fabrics that would be used for each curtain.
<span>First. <u>Finding the x-intercepts of </u>
</span><span>
Let be the change in water level. So to find the x-intercepts of this function we can use The Rational Zero Test that states:
To find the zeros of the polynomial:
We use the Trial-and-Error Method which states that a factor of the constant term:
can be a zero of a polynomial (the x-intercepts).
So let's use an example: Suppose you have the following polynomial:
where the constant term is
. The possible zeros are the factors of this term, that is:
.
Thus:
</span>
<span>
From the foregoing, we can affirm that
are zeros of the polynomial.
</span>Second. <u>Construction a rough graph of</u>
Given that this is a polynomial, then the function is continuous. To graph it we set the roots on the coordinate system. We take the interval:
![[-2,-1]](https://tex.z-dn.net/?f=%5B-2%2C-1%5D)
and compute
where 
is a real number between -2 and -1. If 
, the curve start rising, if not, the curve start falling. For instance:
Therefore the curve start falling and it goes up and down until
and from this point it rises without a bound as shown in the figure below
</span><span>
Let
To find the zeros of the polynomial:
We use the Trial-and-Error Method which states that a factor of the constant term:
can be a zero of a polynomial (the x-intercepts).
So let's use an example: Suppose you have the following polynomial:
where the constant term is
Thus:
</span>
From the foregoing, we can affirm that
</span>Second. <u>Construction a rough graph of</u>
Given that this is a polynomial, then the function is continuous. To graph it we set the roots on the coordinate system. We take the interval:
and compute
Therefore the curve start falling and it goes up and down until