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lilavasa [31]
3 years ago
7

Please answer w/ an explanation of number system. Also tell me if you want to do my Khan Academy

Mathematics
2 answers:
blagie [28]3 years ago
4 0

Answer:

B: Integer

Step-by-step explanation:

I also did that khan academy and got it right

Nataliya [291]3 years ago
3 0

Answer:

None of the choices

Irrational, Real, Complex

Step-by-step explanation:

Number system:

(since I'm having image upload trouble I'll just do an outline format)

Complex numbers (all numbers we have)

I. Imaginary

  - cannot be plotted on number line

   -include <em>i</em>, sqrt  of (-) #s, variables, |-#s|, etc.

   (This includes pure imaginary and imaginary #s: In terms of <em>i</em>, pure imaginary is only b*i, and imaginary is a+b<em>i</em>, a and b being integers)

II. Real numbers: can be plotted on # line (have a real value)

     A. Irrational numbers

          - Non-repeating, non-terminating (ending) decimals

               E.X. : 1.12343123510971324...

          - Cannot be expressed as a fraction of 2 integers

          - Has a real value (pi, phi, tau, square roots of non-perfect non-negative squares e.x. \sqrt2)

    B. Rational

         - Can be expressed as fraction of 2 integers

            E.x. 0.3333... = 1/3

         - Can be expressed as terminating or repeating decimal

            E.x. 0.3232... , 0.32, etc.

          1. Includes: Fractions and terminating/repeating decimals

          2. Integers: ..., -3, -2, -1, 0, 1, 2, 3, ...

               a. Whole numbers: 0, 1, 2, 3, ...

                      i. Counting/natural numbers: 1, 2, 3, ...

                   

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Vladimir79 [104]
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3 years ago
13. In the triangle below, the sides have length x + 3, 3x - 1. and 4x. Determine the range of possible
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Answer:

Hence as long as x > 2/3, we can form a triangle from the three given sides.

Step-by-step explanation:

Given:

Length of 3 sides of triangle are x+3, 4x,3x-1

Solution:

From the length of the 2nd side 4x, we know that x > 0

Let this be 1 st statement.

Now from the triangle inequality we can say that;

x + 3 + 4x > 3x -1\\5x+3>3x-1\\5x-3x>-1-3\\2x>-2\\x>-1

No new information from this because of the 1st statement above.

Also,  

4x + 3x - 1 > x +3\\7x-1>x+3\\7x-x>3+1\\6x>4\\x>\frac{4}{6}\\\\x>\frac{2}{3}

Lastly,

x+3 +3x - 1 > 4x\\4x-2>4x\\4x-4x>2\\0>2

and again no new information is obtained from this inequality.

Hence as long as x > 2/3, we can form a triangle from the three given sides.

7 0
3 years ago
Bob drew a line he thought was close to many of the points and found the equation of the line. He used the points (165, 168) and
ioda

We will see that the linear equation is:

y = 1.1*x  -13.5

b) The predicted height is 164.7cm

<h3>How to get the linear equation?</h3>

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ - x₁)

In this case, the line passes through (165, 168) and (174, 178), then the slope is:

a = (178 - 168)/(174 - 165) = 10/9 = 1.1

Then the line is:

y = 1.1*x + b

To get the value of b, we use one of the given points, for example if we use the first one (165, 168) we must have x = 165 and y = 168, replacing that we get:

168 = 1.1*165 + b

168 -  1.1*165  = b = -13.5

The equation is:

y = 1.1*x  -13.5

Now we want to find the height of a person with an arm span of 162cm, then we replace x by 162 to get:

y = 1.1*162 -13.5 = 164.7

The predicted height is 164.7cm

If you want to learn more about linear equations, you can read:

brainly.com/question/1884491

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Step-by-step explanation:

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