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dimaraw [331]
1 year ago
9

Which ordered pair is included in the solution set to the following system? y > x2 + 3 y < x2 – 3x + 2 (–2, 8) (0, 2) (0,

4) (2, 2)
Mathematics
1 answer:
I am Lyosha [343]1 year ago
3 0

The ordered pair that is a solution of the system is (-2, 8).

<h3>Which ordered pair is included in the solution set to the following system?</h3>

Here we have the system of inequalities:

y > x² + 3

y < x² - 3x + 2

To check which points are solutions of the system, we can just evaluate both inequalities in the given points and see if they are true.

For example, for the first point (-2, 8) if we evaluate it in the two inequalities we get:

8 > (-2)² + 3 = 7

8 <  (-2)² - 3*(-2) + 2 = 12

As we can see, both inequalities are true. So we conclude that (-2, 8) is the solution.

(if you use any other of the 3 points you will see that at least one of the inequalities becomes false).

If you want to learn more about inequalities:

brainly.com/question/18881247

#SPJ1

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Simplify the radical expression 3/√3
Vika [28.1K]
Multiple both numerator and denominator by √3.

So that would be 3√3 / 3 which can be reduced to √3.

Final answer: √3
7 0
3 years ago
A3-b3=(a-b)(a2+an+b2) 64x6-27
olga nikolaevna [1]
<span>a³-b³=(a-b)(a²+ab+b²)

64x⁶ - 27

64 = 4³, 
x⁶ = (x²)³
27 = 3³

</span>64x⁶ - 27 = 4³(x²)³ -3³ = (4x²)³ -3³.  Now, we can use a formula where a=4x², b=3

(4x²)³ -3³ = (4x² -3)((4x²)² +4x²*3 + 3²) =  (4x² -3)(16x⁴ +12x² + 9) 
<span>
Answer: </span>64x⁶ - 27=  (4x² -3)(16x⁴ +12x² + 9) <span>

</span>
4 0
3 years ago
Find the value of x that makes line m parallel to line n.​
evablogger [386]

Answer: <em>x</em> = 20

Step-by-step explanation:

   If line <em>m</em> is parallel to line <em>n</em>, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).

  This means we will set them equal to each other and solve for <em>x</em>.

Given:

(4<em>x</em> - 23) = (2<em>x</em> + 17)

Add 23 to both sides of the equation:

4<em>x</em> = 2<em>x</em> + 40

Subtract 2<em>x</em> from both sides of the equation:

2<em>x</em> = 40

Divide both sides of the equation by 2:

<em>x</em> = 20

4 0
1 year ago
What additional information is obtained by measuring two individuals on an ordinal scale compared to a nominal scale
velikii [3]

The direction of the difference between the 2 measurements.

<h3>What is nominal and ordinal scale with example?</h3>
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<h3>What is the difference nominal and ordinal?</h3>
  • Ordinal data has a preset or natural order, whereas nominal data is categorized without a natural order or rank.
  • A number that can be measured, however, will always be present in numerical or quantitative data.

<h3>What is an example of a ordinal scale?</h3>
  • First place would go to a student with a score of 99 out of 100; third place would go to a student with a score of 92 out of 100; and so on.

Learn more about ordinal scale and  nominal scale here:

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8 0
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True or False 68oz &lt; 4lb 6oz
brilliants [131]

Answer:true!!!

Step-by-step explanation:

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