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3 years ago

Explain how to distinguish between a rational number and an irrational number.

Mathematics

2 answers:

Citrus2011 [14]3 years ago

7 0

Answer:

Sample Response: A rational number can be expressed as a whole number, a fraction, or decimal that has either terminating or repeating digits. A square root of a perfect square is rational. If it is none of these, then the number is irrational.

Step-by-step explanation: i just hope i help :)

Andrews [41]3 years ago

4 0

Answer:

An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction.S

Step-by-step explanation:

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Identify the "inside function" u = f(x) and the "outside function" y = g(u). Then find dy/dx using the Chain Rule.

skad [1K]

DfLet $f(x)=\sec x$ and $g(x)=\sqrt x$ . Then

$y=\sec\sqrt x=\sec(g(x))=f(g(x))=f\circ g(x)$

By the chain rule,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

where $u=g(x)=\sqrt x$ , so that $y=f(g(x))=f(u)=\sec u$ . We have

$\dfrac{\mathrm du}{\mathrm dx}=\dfrac1{2\sqrt x}$
$\dfrac{\mathrm d\sec u}{\mathrm du}=\sec u\tan u$

and so

$\dfrac{\mathrm dy}{\mathrm dx}=\sec u\tan u\dfrac{\mathrm dy}{\mathrm du}=\dfrac{\sec\sqrt x\,\tan\sqrt x}{2\sqrt x}$

5 0

3 years ago

An arts academy requires there to be 5 teachers for every 125 students and 4 tutors for every 88 students. How many students doe

nikitadnepr [17]

Answer:

25 students peer teacher, 22 students per tutor, 4 tutors for 81 students

Step-by-step explanation:

You need to find the unit rate,

for the teachers, to find the unit rate would be 125 divided by 5. For tutors it would be 88 divided by 4.

Then to find how many tutors you need for 81 students you would need 4 tutors because you want to divide 81 by the unit rate we got (22), and since the answer would be a decimal (3.68.....) you would need to round the whole number up to four because you cant have a decimal of a person.

3 0

3 years ago

Can someone please help?!

yan [13]

Answer:

m=3/4

Step-by-step explanation:

4 0

2 years ago

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amm1812

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2 years ago

-6t < 12, solve the inequality

fomenos

Answer:

t>-2

Step-by-step explanation:

-6t < 12

Move the -6 over to 12 and divide

And change the sign after u divide

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3 years ago