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satela [25.4K]
3 years ago
14

D. Direction: Plot following irrational numbers in the given number line.

Mathematics
1 answer:
Tju [1.3M]3 years ago
8 0

Answer:

<u>Numbers and plot location given below:</u>

<u />

  1. √15 = 3.9  located between 3.8 and 4.0
  2. √46 = 6.8 located between 6.7 and 6.9
  3. √55 = 7.4 located between 7.3 and 7.5
  4. √60 = 7.7 located between 7.6 and 7.8
  5. √96 = 9.8 located between 9.7 and 9.9
  6. √14 = 3.7 located between 3.6 and 3.9
  7. √22 = 4.7 located between 4.6 and 4.8
  8. √75 = 8.7 located between 8.6 and 8.9
  9. √34 = 5.8 located between 5.7 and 5.9
  10. √57 = 7.5 locate between 7.4 and 7.6
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Answer:

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Step-by-step explanation:

Although, philosophers would love to give you a different answer (like 5)

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Consider the function f(x)=−3x+3 on the interval [−8,4]. Find the absolute extrema for the function on the given interval. Expre
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By means of <em>functions</em> theory and the characteristics of <em>linear</em> equations, the <em>absolute</em> extrema of the <em>linear</em> equation f(x) = - 3 · x + 3 are 27 (<em>absolute</em> maximum) for x = - 8 and - 9 (<em>absolute</em> minimum) for x = 4. (- 8, 27) and (4, - 9).

<h3>What are the absolute extrema of a linear equation within a closed interval?</h3>

According to the functions theory, <em>linear</em> equations have no absolute extrema for all <em>real</em> numbers, but things are different for any <em>closed</em> interval as <em>absolute</em> extrema are the ends of <em>linear</em> function. Now we proceed to evaluate the function at each point:

Absolute maximum

f(- 8) = - 3 · (- 8) + 3

f(- 8) = 27

Absolute minimum

f(4) = - 3 · 4 + 3

f(4) = - 9

By means of <em>functions</em> theory and the characteristics of <em>linear</em> equations, the <em>absolute</em> extrema of the <em>linear</em> equation f(x) = - 3 · x + 3 are 27 (<em>absolute</em> maximum) for x = - 8 and - 9 (<em>absolute</em> minimum) for x = 4. (- 8, 27) and (4, - 9).

To learn more on absolute extrema: brainly.com/question/2272467

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Step-by-step explanation:

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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
Brilliant_brown [7]

-2<em>x</em> + 6<em>y</em> = -38

3<em>x</em> - 4<em>y</em> = 32

To solve by elimination, multiply the top equation by 3 and the bottom equation by 2.

3(-2<em>x</em> + 6<em>y</em> = -38) --> -6<em>x</em> + 18<em>y</em> = -114

2(3<em>x</em> - 4<em>y</em> = 32) --> 6<em>x</em> - 8<em>y</em> = 64

Add the equations.

-6<em>x </em>+ 18<em>y</em> = -114

6<em>x</em> - 8<em>y</em> = 64

+_____________

0 + 10<em>y</em> = -50

10<em>y</em> = -50

<em>y</em> = -5

Substitute -5 for y into one of the original equations to find x.

3<em>x</em> - 4<em>y</em> = 32

3<em>x</em> - 4(-5) = 32

3<em>x</em> + 20 = 32

3<em>x</em> = 12

<em>x</em> = 4

Check work by plugging the <em>x</em>- and <em>y</em>-values into both of the original equations.

-2<em>x</em> + 6<em>y</em> = -38

-2(4) + 6(-5) = -38

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38 = 38


3<em>x</em> - 4<em>y</em> = 32

3(4) - 4(-5) = 32

12 + 20 = 32

32 = 32

Answer:

<em>x</em> = 4 and <em>y</em> = -5; (4, -5).

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