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Butoxors [25]
3 years ago
9

The solution to an any quality is giving in the same building notation as The solution to an inequality is giving in the set bui

lder notation as {x|x>2/3}. What is another way to represent the solution set?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
8 0

<u>Options</u>

(A)\left(-\infty , \dfrac23\right]\\\\(B)\left(-\infty , \dfrac23\right) \\\\(C)(\frac23\right, \infty ) \\\\(D) [\frac23\right, \infty )

Answer:

(C)(\frac23\right, \infty )

Step-by-step explanation:

Given the solution to an inequality

{x|x>2/3}

The solution set does not include \dfrac23 , therefore, it must be open at the left. Recall that we use a curvy bracket ( to denote openness at the left.

Since x is greater than  \dfrac23 , the solution set contains all values of larger than  \dfrac23 up till infinity. Since infinity is an arbitrarily large value, we also use an open bracket at the right.

Therefore, another way to represent the solution {x|x>2/3} is:

(\frac23\right, \infty )

The correct option is C.

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3 years ago
What is the difference between the exact simple interest and the ordinary simple interest on a 200-day loan of 5,000 at 12%
77julia77 [94]

Answer:

  4.56

Step-by-step explanation:

"Ordinary" interest will be more than "exact" interest because the number of days in a year is a smaller value. The difference will be ...

  Io = Prt = 5000(0.12)(200/360) = 333.33

  Ie = Prt = 5000(0.12)(200/365) = 328.77

The difference is ...

  333.33 -328.77 = 4.56 . . . the difference in interest values

_____

<em>Additional comment</em>

The question asks for the difference between exact and ordinary interest, so the result is technically negative:

  328.77 -333.33 = -4.56

6 0
3 years ago
 help me please, no bots thank you. i’ll give you a brainly if you get it correct :)
Crank
Sorry i wish i knew the answer i’m actually learning that in class but i don’t quite understand it
5 0
2 years ago
Find the slant height of a cone with surface area 282.74 ft2 and diameter 10 ft.
ELEN [110]

The formula for the surface area of cone is:

Surface Area of Cone = π * r * l + π * r^2               , where l = slant height

Substituting the given values:

282.74 ft^2 = 3.14 * 5 ft * l + 3.14 * (5 ft)^2

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5 0
3 years ago
What is BC?<br><br> Enter your answer in the box<br><br> _units
laiz [17]

Answer:

<h2>BC = 25</h2>

Step-by-step explanation:

It's an isosceles triangle (congruent angles ∠C ≅ ∠B).

Therefore AC = AB.

We have the equation:

4x+1=2x+23        <em>subtract 1 from both sides</em>

4x=2x+22       <em>subtract 2x from both sides</em>

2x=22          <em>divide both sides by 2</em>

x=11

Substitute the value of <em>x</em> to the expression BC = 3x - 8:

BC = 3(11) - 8=33-8=25

3 0
3 years ago
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