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Irina-Kira [14]
2 years ago
9

Determine whether the given function is a polynomial function. If it's a polynomial function, state the degree. If not, state th

e reason why.
k(x) = –3x6 – 0.7x + x3

A. Yes; degree 10
B. No, because some range elements correspond to more than one domain element
C. No, because 0.7 isn't an integer
D. Yes; degree 6
Mathematics
1 answer:
Rudik [331]2 years ago
5 0

ANSWER


The correct answer is option D.


EXPLANATION


The given function is



k(x)=-3x^6-0.7x+x^3



This a polynomial function. All degrees are greater than or equal to zero.


The coefficient being decimals does not disqualify it from being a polynomial.


The highest degree of this polynomial is 6.


Therefore the correct answer is D

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Take bus=5 times walk
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sub 5w for b
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Juans three math quizzes this week took him 1/3?4/6?and1/5 hour to complete. List all the fraction from least to greatest
Alex

Answer:

\frac{1}{5} ,  \frac{1}{3} , \frac{4}{6}.

Step-by-step explanation:

Given fractions \frac{1}{3}, \frac{4}{6}, \frac{1}{5}.

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In order to arrange them from least to greatest, we need to find the least common denominator of  \frac{1}{3}, \frac{4}{6}, \frac{1}{5}.

We have 3, 6 and 5 in denominators.

Least common multiple of 3, 6 and 5 is = 30, because 30 is least number that can be divided by all three number 3, 6 and 5.

Let us covert each denominator as 30.

Multiplying first fraction \frac{1}{3} by 10 in top and bottom, we get

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Multiplying first fraction \frac{4}{6} by 5 in top and bottom, we get

\frac{4}{6} = \frac{4\times5}{6\times5}=\frac{20}{30}

Multiplying first fraction  \frac{1}{5} by 6 in top and bottom, we get

\frac{1}{5} = \frac{1\times6}{5\times6}=\frac{6}{30}.

Now, we can check \frac{10}{30}, \frac{20}{30} \ and \ \frac{6}{30}.

\frac{6}{30} is the smallest, \frac{10}{30} is greater and \frac{20}{30} is the greatest.

Therefore, we can arrange fractions\frac{6}{30}, \frac{10}{30} \ and \ \frac{20}{30}.

Writing original fractions in place of equivalent fractions, we can write

\frac{1}{5} ,  \frac{1}{3} and  \frac{4}{6}.

Therefore, the order the amounts of paint from least to greatest is:

\frac{1}{5} ,  \frac{1}{3} , \frac{4}{6}.




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