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Sergeu [11.5K]
3 years ago
12

What is the relationship between power functions and polynomial functions

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0

Answer:

  • A power function is basically a variable base raised to a number power. For example, a power function is basically a function where y\:=\:x\:^n where n is any real constant number.
  • Polynomial functions are basically a sum of power functions - nothing more than that.
  • Polynomials have certain properties which are really power-like.
  • When a variety of different power functions get added together, polynomials tend to take on certain unique behaviors.
  • A polynomial may comprise of a large number of power functions, but on of them will dominates all others eventually.

In a nutshell, the end behavior of both power function represented by the leading term - the term containing the highest power of the variable is called the leading term of the function - is very much is the same as the end behavior of a polynomial function.

Keywords: power function, polynomial

Learn more about power function and polynomials from brainly.com/question/5559750

#learnwithBrainly

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Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-cho
nadezda [96]

Answer:

The correct answer is 4294967296 possible ways to complete such a test.

Step-by-step explanation:

Step 1

The first step is to define the fundamental principle of counting. The fundamental principle of counting states that if a process can be carried out in n steps, where there are n_1  ways to complete the first step, n_2 ways to complete the second step, n_3, and n_k ways to complete the k^{th} step, this process can be carried out in  n_1\times n_2\times n_3\times ...\times n_k ways.

Step 2

We use the fundamental principle of counting with n=4 for a total of k=16 steps.  This test can be carried out in 4^{16}=4294967296 ways. This comes from multiplying 4 by itself 16 times.

3 0
3 years ago
A statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20. Use thi
rjkz [21]

Answer:

\mu = 14.5\\

\sigma = 5.071\\

k = 1.084

Step-by-step explanation:

given that a  statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20.

i.e. his findings with respect to probability are

P(9

Recall Chebyshev's inequality that

P(|X-\mu |\geq k\sigma )\leq {\frac {1}{k^{2}}}\\P(|X-\mu |\leq k\sigma )\geq 1-{\frac {1}{k^{2}}}\\

Comparing with the Ii equation which is appropriate here we find that

\mu =14.5

Next what we find is

k\sigma = 5.5\\1-\frac{1}{k^2} =0.15\\\frac{1}{k^2}=0.85\\k=1.084\\1.084 (\sigma) = 5.5\\\sigma = 5.071

Thus from the given information we find that

\mu = 14.5\\\sigma = 5.071\\k = 1.084

5 0
3 years ago
Find the value of the angle θ rounded to 1 DP.
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Answer:

Step-by-step explanation:

Sin 21 = \frac{opposite side}{hypotenuse}

Sin 21 = \frac{BC}{15}

0.3583 = \frac{BC}{15}

0.3583*15 = BC

BC = 5.3745 = 5.37 m

Tan ∅ = \frac{opposite side}{adjacent side}

Tan ∅ = \frac{4}{5.37}= 0.7448

∅ = tan⁻¹ (0.7448) = 36.67 = 36.7

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3 years ago
The average customer at Longhorn Steakhouse spends $26.00 per meal with a
ElenaW [278]
Key details

$26.00 per meal

You and your date = two people

10%

Work:
26.00 x 2 =52

52 x 10% = 5.2

52 + 5.2 =

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I hope this helped and was right, have a nice day.
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Answer:

B . tell me if ya need proof

Step-by-step explanation:

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