Answer:
C
Step-by-step explanation:
If a number is to the power of a negative number, then it is just that number's reciprocal: e.g. y⁻ˣ = ![\frac{1}{y^{x} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7By%5E%7Bx%7D%20%7D)
Therefore, m⁻² will be m² in the denominator, as n⁻³ will be n³ in the numerator.
That will look like
.
So, that is C.
The set X is convex.
In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.
b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.
c)set X is not a closed set as the compliment of the set is not an open set.
d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.
To learn more about convex sets:
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Answer:
14 groups
Step-by-step explanation:
Given
![Groupings = \frac{1}{2}\ day](https://tex.z-dn.net/?f=Groupings%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5C%20day)
![Duration = 1\ week](https://tex.z-dn.net/?f=Duration%20%3D%201%5C%20week)
Required
Determine the number of group in the week
To do this, we simply divide the duration by the number half day group.
This gives:
![Group = \frac{Duration}{Groupings}](https://tex.z-dn.net/?f=Group%20%3D%20%5Cfrac%7BDuration%7D%7BGroupings%7D)
![Group = \frac{1\ week}{1/2\ days}](https://tex.z-dn.net/?f=Group%20%3D%20%5Cfrac%7B1%5C%20week%7D%7B1%2F2%5C%20days%7D)
Convert week to days
![Group = \frac{7\ days}{1/2\ days}](https://tex.z-dn.net/?f=Group%20%3D%20%5Cfrac%7B7%5C%20days%7D%7B1%2F2%5C%20days%7D)
![Group = \frac{7}{1/2}](https://tex.z-dn.net/?f=Group%20%3D%20%5Cfrac%7B7%7D%7B1%2F2%7D)
![Group = 7 / \frac{1}{2}](https://tex.z-dn.net/?f=Group%20%3D%207%20%2F%20%5Cfrac%7B1%7D%7B2%7D)
Convert to multiplication
![Group = 7 * \frac{2}{1}](https://tex.z-dn.net/?f=Group%20%3D%207%20%2A%20%5Cfrac%7B2%7D%7B1%7D)
![Group = \frac{14}{1}](https://tex.z-dn.net/?f=Group%20%3D%20%5Cfrac%7B14%7D%7B1%7D)
![Group = 14](https://tex.z-dn.net/?f=Group%20%3D%2014)
<em>Hence, there are 14 groups</em>
First subtract 8.5 from both sides, then divide the -1.2 to get x by itself
x=1.5