Answer:
The rational numbers are
and the irrational functions are
.
Step-by-step explanation:
A rational number can be expressed in the form of
, where p and q are integers and q is not equal to 0. For example
.
An irrational function can not be expressed in the form of
, where p and q are integers and q is not equal to 0. For example
.
If any number is multiplied by a irrational number then the resultant number is an irrational number.
By the above definition we can conclude that:
The number
is a rational number.
![\sqrt{48}=\sqrt{16\times 3}=4\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B48%7D%3D%5Csqrt%7B16%5Ctimes%203%7D%3D4%5Csqrt%7B3%7D)
Therefore
is an irrational number.
![6.25=\frac{625}{100}=\frac{25}{4}](https://tex.z-dn.net/?f=6.25%3D%5Cfrac%7B625%7D%7B100%7D%3D%5Cfrac%7B25%7D%7B4%7D)
Therefore 6.25 is a rational number.
![0.01045=\frac{1045}{100000}=\frac{209}{20000}](https://tex.z-dn.net/?f=0.01045%3D%5Cfrac%7B1045%7D%7B100000%7D%3D%5Cfrac%7B209%7D%7B20000%7D)
Therefore 0.01045 is a rational number.
![\sqrt{\frac{16}{81}}=\frac{4}{9}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B16%7D%7B81%7D%7D%3D%5Cfrac%7B4%7D%7B9%7D)
The number
is a rational number.
![\sqrt{\frac{3}{16}}=\frac{\sqrt{3}}{4}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B3%7D%7B16%7D%7D%3D%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B4%7D)
The number
is an irrational number.
![0.\bar{42}=\frac{42}{99}](https://tex.z-dn.net/?f=0.%5Cbar%7B42%7D%3D%5Cfrac%7B42%7D%7B99%7D)
Therefore
is an irrational number. The numbers with recursive bar are always rational numbers.
Answer:
The sandals cost before tax $25.
Step-by-step explanation:
Let us assume that the sandals cost before tax $x.
So, after giving an 8% tax the price will be
.
If the $15 gift certificate on that after tax price and the final cost of the sandals becomes $12, then
1.08x - 15 = 12
⇒ 1.08x = 27
⇒ x = $25
Hence, the sandals cost before tax $25. (Answer)
Answer:
Kelly will still have more money than Luis
Kelly will have 25% more
Step-by-step explanation:
Let x represent the amount of money Kelly has and y, Luis
Luis has $40
and Kelly has 50% more money than Luis
Therefore, Kelly has;
50% of $40 + $40
= 0.5*40 + 40
= $60
If Luis gets $8 more, Luis will have;
$8 + $40 = $48
since Luis' $48 is less than Kelly's $60, Kelly will still have more money than Luis
Difference in their money = $60 - $48 = $12
Therefore, Kelly will have;
12/48 * 100 more than Luis
= 25% more
Answer:
I don't know you're options but the answer could be 30.