if one lottery player A wins the jackpot by matching all five distinct numbers drawn in any order from the white balls (1-42) an
1 answer:
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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:
1a. y-intercept: 12
1b. slope: -3/2
1c. equation: y = -3/2x +12
2a. y-intercept: -9
2b. slope: 2
2c. equation: y = 2x -9
Step-by-step explanation:
<h3>1.</h3>A) We observe the pattern to be <em>x-values in the table increase by 2, while y-values in the table decrease by 3</em>. We notice the first x-value is 2, so extending the table upward to x=0 would tell us the y-intercept. That is, adding 3 to the first y-value will give the y-intercept as (x, y) = (0, 12).
B) We have already observed that the "rise" (change in y) is -3 for each "run" (change in x) of 2. The slope is the ratio of these changes:
slope = m = rise/run = -3/2
C) From the above, we know that m=-3/2 and b=12. Putting these values into the equation for the line gives ...
y = -3/2x +12
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<h3>2.</h3>A) We observe the pattern to be <em>y-values increase by 2 while x-values increase by 1</em>. As before, we can find the point that would go before the first one shown in the table. It will have an x-value of 0 and a y-value of -9.
the y-intercept is -9
the slope is 2/1 = 2
the equation is y = 2x -9
