At 10 am, a building casts a shadow that is 98 feet long. At the same time, a 5 feet tall man casts a shadow that is 4 feet long
2 answers:
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Option a: polynomial has 5 terms.
Option c: The constant term is 4.
Explanation:
The polynomial is
Option a: Polynomial has 5 terms
From the polynomial, we have,
1st term =
2nd term =
3rd term =
4th term =
5th term =
Hence, the polynomial has 5 terms.
Thus, Option a is the correct answer.
Option b: The leading coefficient is -2 and the degree of the polynomial is 7.
The leading coefficient is the coefficient of the variable with the largest degree.
The degree of the polynomial can be determine by the adding the powers of the variable.
degree of 1st term = =
degree of 2nd term =
degree of 3rd term =
degree of 4th term =
degree of 5th term =
Thus, from these 5 terms the highest value is 9 which is the degree of the polynomial.
The polynomial has a largest degree of 9 and the leading coefficient is -10.
Hence, Option b is not the correct answer.
Option c: The constant term is 4.
The constant term is a term in which variable will not occur.
From the polynomial , we can see that the constant term is 4.
Hence, Option c is the correct answer.
Option d: Polynomial is in decreasing degree order
The decreasing degree order is the degree in which each term is no larger than the degree of the preceding term.
From the polynomial, we have,
degree of 1st term = =
degree of 2nd term =
degree of 3rd term =
degree of 4th term =
degree of 5th term =
where the degree of the 3rd term is not less than the 4th term.
Thus, the polynomial is not in decreasing degree order.
Hence, Option d is not the correct answer.
Answer:
The function is continuous for all real numbers
Step-by-step explanation:
To know the possible points of discontinuity of this function, we must find out when the denominator of the function is equal to 0.
The denominator is:
Then we equal 0 and clear x
for any real number.
This means that
<em>for all reals numbers</em>.
Therefore, the function is <em>continuous</em> for all real numbers, that is, it does not have discontinuities.
The graphic of this function is shown in the image
