The characteristic of any function that is created by the product of two linear factors is B. has two x-intercepts
<h3>What is a function?</h3>
A function is an expression, rule, or law in mathematics that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The property of any function formed by the product of two linear factors is that it has two x-intercepts. According to the question, we must determine which of the following is a characteristic of any function created by the product of two linear factors.
A quadratic function is the product of two linear factors. Because a quadratic function is a two-degree polynomial, 2. In essence, the result of the product of two linear factors has two x-intercepts.
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Answer:cool
Step-by-step explanation:
The answer would be C=395.84mm
Answer:
8.923 to the nearest half is 8.9
Step-by-step explanation:
The question is an illustration of mean or averages.
<em>If he pours equal amount in the glasses, </em>
<em> would be in each glass</em>
<em>I've added as an attachment, the missing line plot.</em>
The data on the line plot can be represented as follows:
![\left[\begin{array}{cccccccc}x&7&7\frac 12&8&8\frac12&9&9\frac 12 & 10 \\f&0&0&2&1&4&1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccc%7Dx%267%267%5Cfrac%2012%268%268%5Cfrac12%269%269%5Cfrac%2012%20%26%2010%20%5C%5Cf%260%260%262%261%264%261%260%5Cend%7Barray%7D%5Cright%5D)
Where:
<em />
<em> the glasses</em>
<em />
<em> number of ounces</em>
<em />
Glasses with no x on the line plot have a frequency of 0.
If he pours an equal amount of ounces in each glass, the amount in each glass is the mean.
The mean is then calculated as:
![\bar x = \frac{\sum fx}{\sum f}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B%5Csum%20fx%7D%7B%5Csum%20f%7D)
So, we have:
![\bar x = \frac{0 \times 7 + 7\frac 12 \times 0 + 8 \times 2 + 8\frac 12 \times 1 + 9 \times 4 + 9\frac 12 \times 1 + 10 \times 1}{0 + 0 + 2+1+4+1+0}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B0%20%5Ctimes%207%20%2B%207%5Cfrac%2012%20%5Ctimes%200%20%2B%208%20%5Ctimes%202%20%2B%208%5Cfrac%2012%20%5Ctimes%201%20%2B%209%20%5Ctimes%204%20%2B%209%5Cfrac%2012%20%5Ctimes%201%20%2B%2010%20%5Ctimes%201%7D%7B0%20%2B%200%20%2B%202%2B1%2B4%2B1%2B0%7D)
![\bar x = \frac{0 + 0 + 16 + 8\frac 12 + 36 + 9\frac 12+ 10}{8}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B0%20%2B%200%20%2B%2016%20%2B%208%5Cfrac%2012%20%2B%2036%20%2B%209%5Cfrac%2012%2B%2010%7D%7B8%7D)
![\bar x = \frac{70}{8}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B70%7D%7B8%7D)
Simplify
![\bar x = 8\frac{3}{4}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%208%5Cfrac%7B3%7D%7B4%7D)
<em>Hence, if he pours equal amount in the glasses, </em>
<em> would be in each glass</em>
<em />
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