You're told there is a 10th degree polynomial. There are four roots of multiplicity 1 and one of multiplicity 2 (a double root).
Anytime there is a root of multiplicity 1 of a polynomial, its graph crosses the x-axis at that root. Anytime there is one of multiplicity 2, it means that we count the root twice and the graph has a tangency point.
The degree of a polynomial tells you how how many roots it has. Ours is degree 10, so it has ten roots. We have the four roots of multiplicity 1 and the one of multiplicity two, for a total of 6. (four and two).
So there are six real roots.
The rest of the roots are imaginary and non-real, and 10 - 6 = 4. So there are four imaginary roots.
Thus choice C is best.
Answer:
Step-by-step explanation:
<u>Step 1: Find the hypotenuse</u>
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Answer:
Answer to part A: 11w^2+7z^2
Answer to part B: 14w^2+9w
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Explanation:
For part A, the expression 4w^2+7w^2+7z^2 has one pair of like terms. That pair is 4w^2 and 7w^2 which combine to 11w^2. You add the coefficients to get 4+7 = 11, then tack w^2 onto everything to say 4w^2+7w^2 = 11w^2
We cannot combine 11w^2 and 7z^2 as they aren't like terms. So we leave it as 11w^2+7z^2
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In part B, the like terms are 15w and -9w. They combine to 15w-9w = 6w. You can think of it like 15-9 = 6 then stick a 'w' to each term. We cannot combine the w^2 term with the w terms.
Answer:
no mode
The median and mode are 12
Step-by-step explanation:
The mode is the number that appears most often
Since no number repeats there is no mode
The mean is the average
Add up all the numbers
(12+12+12+12+13+13+15)/7 = 89/7 = 12 5/7
The median is the middle number
There are 7 numbers
7/2 = 3.5
The 4th number is the median
The 4th number is 12
The mode is the number that appears most often which is 12
Answer:
64.50 cm
Step-by-step explanation:
