the money used in south Africa is is called the rand . the estrange rate 7 rand for $1. Find how many dollars you would receive
1 answer:
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Answer: An integer added to an integer is an integer, this statement is always true. A polynomial subtracted from a polynomial is a polynomial, this statement is always true. A polynomial divided by a polynomial is a polynomial, this statement is sometimes true. A polynomial multiplied by a polynomial is a polynomial, this statement is always true.
Explanation:
1)
The closure property of integer states that the addition, subtraction and multiplication is integers is always an integer.
If , then a+b\in Z.
Therefore, an integer added to an integer is an integer, this statement is always true.
2)
A polynomial is in the form of,
Where are constant coefficient.
When we subtract the two polynomial then the resultant is also a polynomial form.
Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.
3)
If a polynomial divided by a polynomial then it may or may not be a polynomial.
If the degree of numerator polynomial is higher than the degree of denominator polynomial then it may be a polynomial.
For example:
Then , which a polynomial.
If the degree of numerator polynomial is less than the degree of denominator polynomial then it is a rational function.
For example:
Then , which a not a polynomial.
Therefore, a polynomial divided by a polynomial is a polynomial, this statement is sometimes true.
4)
As we know a polynomial is in the form of,
Where are constant coefficient.
When we multiply the two polynomial, the degree of the resultand function is addition of degree of both polyminals and the resultant is also a polynomial form.
Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.
Each of the 4 choices has been drawn step by step as follows:
the first transformation is drawn in light grey
the second transformation is drawn in dark grey
the third transformation is described as how it should be.
Choice I, picture I:
Rotate 180°, reflect over the x-axis, reflect over the line y=x
the last transformation should be : reflect with respect to the y-axis
Choice II, picture II:
Reflect over the x-axis, rotate 180°, reflect over the x-axis
the last transformation should be : reflect with respect to the y-axis
Choice III, picture III:
Rotate 180°, reflect over the y-axis, reflect over the line y=x
the last transformation should be : reflect with respect to the x-axis
Choice IV, picture IV:
Reflect over the y-axis, reflect over the x-axis, rotate 180°
the last transformation should be : rotate 180° CORRECT!
Answer: Reflect over the y-axis, reflect over the x-axis, rotate 180°
the first transformation is drawn in light grey
the second transformation is drawn in dark grey
the third transformation is described as how it should be.
Choice I, picture I:
Rotate 180°, reflect over the x-axis, reflect over the line y=x
the last transformation should be : reflect with respect to the y-axis
Choice II, picture II:
Reflect over the x-axis, rotate 180°, reflect over the x-axis
the last transformation should be : reflect with respect to the y-axis
Choice III, picture III:
Rotate 180°, reflect over the y-axis, reflect over the line y=x
the last transformation should be : reflect with respect to the x-axis
Choice IV, picture IV:
Reflect over the y-axis, reflect over the x-axis, rotate 180°
the last transformation should be : rotate 180° CORRECT!
Answer: Reflect over the y-axis, reflect over the x-axis, rotate 180°
I'm assuming you're referring to problem 6. You are asked to find the number of x intercepts or roots, which is another term for "zero". I prefer the term root or x intercept as "zero" seems misleading. Anyways, all we do is count the number of times the graph crosses the x axis. This happens 4 times as shown in the attached image below. I have marked these points in red. The graph can directly cross over the x axis, or it can touch the x axis and then bounce back. Either way, it is considered an x intercept.
<h3>Answer: there are 4 x intercepts (or 4 roots)</h3>