Mathematics, 13.10.2019 17:30 shazaam1657

Identify all the sets to which the number 3.1214122144 . . belongs.

a)rational number
b)irrational number
c)integer, rational number
d)whole number, integer, rational number

Answers: 1

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Answer from: Husky19

Because the number has a decimal value that is not repeating, it is an irrational number.
The answer is B.

Answer from: bionicboy03120440

The answer is (B) Irrational number.

Step-by-step explanation: The given number is 3.1214122144 . . .. We are to check out of the given options all the sets to which the given number belongs.

The given number is in decimal form, so it cannot be an integer or a whole number.

Also, the digits after the decimal are non-repeating and non-terminating. This is the property of irrational numbers. In rationals, either the digits after the decimal are terminating or they are repeating. Therefore, the given number is irrational.

Thus, the correct option is (B) Irrational number.

Answer from: Quest

answer is 144

step-by-step explanation:

$(x^{\frac{1}{8} }) (x^{\frac{3}{8} }) = 12\\$

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

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Identify all the sets to which the number 3.1214122144 . . belongs.

a)rational number