The polynomial with 6 roots is the one of degree 6, so the correct option is:
![f(x) = 7x^6 + 3x^2 + 12](https://tex.z-dn.net/?f=f%28x%29%20%3D%207x%5E6%20%2B%203x%5E2%20%2B%2012)
<h3>
Which polynomial function has 6 roots?</h3>
You need to remember that if p(x) is a polynomial of degree N, then it has N roots (such that some of these N roots may be equal or not).
Then we just need to find the polynomial of degree 6. (Remember that the degree represents the maximum exponent of the polynomial).
In this case, the only one of degree 6 is:
![f(x) = 7x^6 + 3x^2 + 12](https://tex.z-dn.net/?f=f%28x%29%20%3D%207x%5E6%20%2B%203x%5E2%20%2B%2012)
Which is the last option.
If you want to learn more about polynomials, you can read:
brainly.com/question/4142886
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Answer: 62.8m^2
Step-by-step explanation:
Surface area of a cylinder = ![2\pi r^{2} + 2\pi rh](https://tex.z-dn.net/?f=2%5Cpi%20r%5E%7B2%7D%20%2B%202%5Cpi%20rh)
r = 2m, h = 3m
![2\pi (2)^{2} + 2\pi (2)(3)](https://tex.z-dn.net/?f=2%5Cpi%20%282%29%5E%7B2%7D%20%2B%202%5Cpi%20%282%29%283%29)
= 62.83185
Answer:
The z score for bolt of diameter 18.12 mm is 1.20.
Step-by-step explanation:
Let <em>X</em> = diameter of bolts.
It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.
A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.
The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.
![Z\sim N(0, 1)](https://tex.z-dn.net/?f=Z%5Csim%20N%280%2C%201%29)
The formula to compute the <em>z</em>-score is:
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.
Compute the <em>z</em>-score for this value as follows:
![z=\frac{x-\mu}{\sigma}=\frac{18.12-18}{0.10}=\frac{0.12}{0.10}=1.20](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B18.12-18%7D%7B0.10%7D%3D%5Cfrac%7B0.12%7D%7B0.10%7D%3D1.20)
Thus, the z score for bolt of diameter 18.12 mm is 1.20.
Answer:
2/7x +3=9
x=21
Step-by-step explanation:
Let the unknown be x.
Take 3 to the other side so: 2/7 multiplied by x= 6
Divide 6 by 2/7 to get the answer;
Therefore x=21
Sub back into equation to check answer.
Answer:is an expression telling the computer what mathematical operation to perform upon a specific value. When referring to computer software, formulas are most often used in spreadsheet programs, such as Microsoft Excel.
Step-by-step explanation: