Using Descartes' Rule of Signs:
The signs are: - + - + - +
There are 5 signs changes in this sequence, so there could be either 5, 3, or 1 positive roots.
If we negate the terms with odd numbers (x^5, x^3), we end up with the signs: - - - - - +
Since there is 1 sign change, there can be only 1 negative root.
This means the positive and negative roots can either be 6, 4, or 2.
Since the total number of roots cannot exceed 6, there are either 0, 2, or 4 complex roots.
Answer:
![\displaystyle Range: \\ Set-Builder\:Notation → y|1 ≥ y ≥ -1 \\ Interval\:Notation → [-1, 1] \\ \\ Domain: \\ Set-Builder\:Notation → x|x ∈ R \\ Interval\:Notation → (-∞, ∞)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Range%3A%20%5C%5C%20Set-Builder%5C%3ANotation%20%E2%86%92%20y%7C1%20%E2%89%A5%20y%20%E2%89%A5%20-1%20%5C%5C%20Interval%5C%3ANotation%20%E2%86%92%20%5B-1%2C%201%5D%20%5C%5C%20%5C%5C%20Domain%3A%20%5C%5C%20Set-Builder%5C%3ANotation%20%E2%86%92%20x%7Cx%20%E2%88%88%20R%20%5C%5C%20Interval%5C%3ANotation%20%E2%86%92%20%28-%E2%88%9E%2C%20%E2%88%9E%29)
Step-by-step explanation:
This is the graph of 
in which its AMPLITUDE [<em>A</em>] ALWAYS starts ONE BLOCK ABOVE the <em>midline</em><em>.</em><em> </em>In the trigonometric formula below, −C gives the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL:
![\displaystyle y = Acos[Bx - C] + D](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%20Acos%5BBx%20-%20C%5D%20%2B%20D)
NOTE: Depending on how your trigonometric graphs are structured, your vertical shift [<em>D</em>] might tell you to space out the amplitude of the graphs alot more evenly on both ends.
<u>Extended</u><u> </u><u>Information on</u><u> </u><u>Trigonometric</u><u> </u><u>Graphs</u>
![\displaystyle Vertical\:Shift = D \\ Phase\:Shift\:[Horizontal\:Shift] = \frac{C}{B} \\ Period = \frac{2}{B}π \\ Amplitude = |A|](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Vertical%5C%3AShift%20%3D%20D%20%5C%5C%20Phase%5C%3AShift%5C%3A%5BHorizontal%5C%3AShift%5D%20%3D%20%5Cfrac%7BC%7D%7BB%7D%20%5C%5C%20Period%20%3D%20%5Cfrac%7B2%7D%7BB%7D%CF%80%20%5C%5C%20Amplitude%20%3D%20%7CA%7C)
I am joyous to assist you anytime.
A, the circumference of a circle is greater than the area.
Answer:
she would probably have have 101.4 oz which is about 6 bottles left over this is of course if those bottles can hold 16.9 oz which is the average water bottle intake(<u><em>you forgot that info</em></u>) maybe put more information for the next problem you decide to ask.
Step-by-step explanation:
your welcome
