Answer:
Fourth option.
Sixth option.
Step-by-step explanation:
We know that:
- Any number you can find on the number line, is a Real number.
- Integers contains positive numbers, negative numbers and zero. Every Integer is a Rational number.
- A Rational number is that number that can be written in the following form:
![\frac{a}{b}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D)
Where "a" and "b" are integers (
).
- An Irrational number cannot be written as a simple fraction.
- A Whole number is any of the numbers {
}. Every Whole number is a Rational number.
- Natural numbers contain the set of positive integers{
} or to the set of nonnegative integers {
}, Every Natural number is a Rational number.
Based on this, since
is in the form
where
and
, it is a Rational Number and therefore a Real number.
Answer:
The value is 4
Step-by-step explanation:
This is because the value of an absolute number is always positive so the absolute value of 4 would remain 4.
Answer:
radius=2
Step-by-step explanation:
if the circumference=4pi and the formula is 2pir then r must be 2 and would look like this:
C = 2pir
C = 2pi2
C = 2*2pi
C = 4pi
Let's solve your equation step-by-step.
<span><span>|<span><span>3x</span>+1</span>|</span>=1
</span>Solve Absolute Value.
<span><span>|<span><span>3x</span>+1</span>|</span>=1
</span>We know either <span><span><span>3x</span>+1</span>=1 </span>or <span><span><span>3x</span>+1</span>=<span>−<span>1
</span></span></span><span><span><span>3x</span>+1</span>=1</span>(Possibility 1)
<span><span><span><span>3x</span>+1</span>−1</span>=<span>1−1</span></span>(Subtract 1 from both sides)
<span><span>3x</span>=0
</span><span><span><span>3x/</span>3 </span>= <span>0/3</span></span>(Divide both sides by 3)
<span><span><span>3x</span>+1</span>=<span>−1</span></span>(Possibility 2)
<span><span><span><span>3x</span>+1</span>−1</span>=<span><span>−1</span>−1</span></span>(Subtract 1 from both sides)
<span><span>3x</span>=<span>−<span>2
</span></span></span><span>x=<span>0
</span></span><span><span><span>3x/</span>3 </span>= <span><span>−2/</span>3</span></span>(Divide both sides by 3)
<span>x=<span><span>−2/</span><span>3
</span></span></span>Answer:
<span><span>x=<span><span>0<span> or </span></span>x</span></span>=<span><span>−2/</span>3</span></span>