1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kogti [31]
1 year ago
7

Define the set X = {(x,y)|x > 0,y ≤ √x}.

Mathematics
1 answer:
Kitty [74]1 year ago
3 0

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:

brainly.com/question/12577430

#SPJ9

You might be interested in
Express the edge length of a cube as a function of the cube's diagonal length d. Then express the surface area & volume of t
Lorico [155]
D = sqrt(3s^2) where s is the length of the side. Solving for s, 

<span>3s^2 = d^2 iff </span>
<span>s^2 = d^2 / 3 iff </span>
<span>s = sqrt(d^2 / 3) </span>
<span>= d / sqrt(3) or d sqrt(3) / 3 </span>

<span>Surface area of the cube = 6 s^2. Thus, </span>
<span>A = 6 (d / sqrt(3))^2 </span>
<span>= 6d^2 / 3 </span>
<span>= 2d^2 </span>

<span>Volume = s^3. Thus, </span>
<span>V = (d / sqrt(3))^3 </span>
<span>= d^3 / 3sqrt(3) </span>
<span>= d^3 sqrt(3) / 9</span>
8 0
3 years ago
Read 2 more answers
Algebra help! Please help me!
aniked [119]
Your answer would most likely be C. 2^1/3 i'm sorry if I got it wrong
6 0
3 years ago
Can someone explain and answer please??
Nat2105 [25]
Simplify the ration expression
\frac{3x-6}{x-2}

start by seeing if anything in the numerator or denominator can be factored,
you should notice that you can factor out a 3 from 3x-6 in the numerator

when you do so, the result is
\frac{3 *(x-2)}{x-2}

now, since there is an x-2 in the numerator and denominator, they "cancel" out since

\frac{x-2}{x-2} =1
however, only when x \neq 2
since \frac{0}{0} \neq 1

when you cancel out the x-2, you're left with 3

hence, your answer is C

8 0
3 years ago
A number decreased by half of the number is four find the number <br><br> Help please!
BARSIC [14]

Answer:

8

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Factor Completely: 100x2 - 1
fredd [130]

Answer:

d

Step-by-step explanation:

100x² - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

100x² - 1

= (10x)² - 1²

= (10x - 1)(10x + 1) → d

3 0
3 years ago
Other questions:
  • Y = 192(.25) + .25x
    13·2 answers
  • Need help due today please and thank you
    10·1 answer
  • Write an equation for the line , given that m=3 and the y-intercept is (0,2).
    11·1 answer
  • 43 milk jugs are in a fridge with 11 that are spoiled. 5 jugs are randomly selected. what are the odds that the first two are go
    8·1 answer
  • Use algebra to solve 3x + 4 = 1/x . The exact solutions are x =
    14·1 answer
  • A beaded necklace is 2.5 feet long. Each bead is .25 inches wide &amp; each pair of beads is separated by 1.25 inches of chain.
    10·1 answer
  • What type of number is 643i
    15·1 answer
  • Start at 4, 13 move 2 units left and 9 units down where do you end up
    5·1 answer
  • I will mark you brainliest!!!! Determine which region contains the solution to the system.
    13·1 answer
  • PLEASE HELP WITH THIS?!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!