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Novosadov [1.4K]
3 years ago
13

Is the quotient of two rational numbers always a rational number explain ​

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
5 0
It is not always rational since zero is a rational number. If we have a rational number on the numerator and a 0 on the denominator then the quotient is not rational therefore the quotient of any two rational numbers is not always rational.
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Which unit rate is higher 24 for 5 or 5 for 24
frez [133]

Answer:

24 for 5 is higher because you have to divide 24 by 5 and if you do that it gives you $4.8, while 5 for 24 gives you a unit rate of $0.20.

3 0
3 years ago
Geometry. helppp!!! please explain this
Yuri [45]
Answer: 10

----------------------------------------------

Explanation:

Segment TU must be congruent (equal in length) to segment UV in order for the angle TSV to be bisected by segment SU

Bisected = cut in half

So because TU = UV, we can say,

TU = UV
3x+18 = 4x+8
3x+18-3x = 4x+8-3x
18 = x+8
18-8 = x+8-8
x = 10
6 0
3 years ago
Find the rational roots f(x) =3x3+ 2x2 + 3x + 6
Ann [662]

The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

<h3>How to determine the rational root of the function f(x)?</h3>

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

For a function P(x) such that

P(x) = ax^n +...... + b

The rational roots of the function p(x) are

Rational roots = ± Possible factors of b/Possible factors of a

In the function f(x), we have:

a = 3

b = 6

The factors of 3 and 6 are

a = 1 and 3

b = 1, 2, 3 and 6

So, we have:

Rational roots = ±(1, 2, 3, 6)/(1, 3)

Split the expression

Rational roots = ±(1, 2, 3, 6)/1 and ±(1, 2, 3, 6)/3

Evaluate the quotient

Rational roots = ±(1, 2, 3, 6, 1/3, 2/3, 1, 2)

Remove the repetition

Rational roots = ±(1, 2, 3, 6, 1/3, 2/3)

Hence, the rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

The complete parameters are:

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

Read more about rational roots at

brainly.com/question/17754398

#SPJ1

4 0
1 year ago
Find the value of y.
Phoenix [80]

\boxed{y=6\sqrt{3}}

<h2>Explanation:</h2>

For a better understanding of the problem I've built up two triangles from the given triangular shape. So these two triangles are similar. Therefore, we can solve this problem by using ratios and corresponding sides in this way:

\frac{x}{3}=\frac{12}{x} \\ \\ x^2=36 \\ \\ x=\sqrt{36} \\ \\ x=6

But our goal is to find y. Let's call w the height of the small triangle, then:

w=\sqrt{6^2-3^2}=3\sqrt{3}

Applying the concept of ratios again:

\frac{y}{w}=\frac{x}{3} \\ \\ y=w \left(\frac{x}{3}\right) \\ \\ y=3\sqrt{3}\left(\frac{6}{3}\right) \\ \\ \boxed{y=6\sqrt{3}}

<h2>Learn more:</h2>

Right triangle: brainly.com/question/10684799

#LearnWithBrainly

4 0
3 years ago
Solve for x. Show your work. <br> - 1/2x &lt; -12
frozen [14]
<span><span><span>−1</span><span>2x</span></span>=<span>−12</span></span><span><span>−1</span>=<span>−<span>24x</span></span></span>(Multiply both sides by 2x)<span><span>−<span>24x</span></span>=<span>−1</span></span>(Flip the equation)<span><span><span>−<span>24x</span></span><span>−24</span></span>=<span><span>−1</span><span>−24</span></span></span>(Divide both sides by -24)<span>x=<span>1<span>24

AND OMG MY CHEMICAL ROMANCE AS YOU PFP!!!!</span></span></span>
3 0
3 years ago
Read 2 more answers
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