We know that 2x + 5 = 10 - 3x, and because of this we can solve for x.
2x + 5 = 10 - 3x
+3x
5x + 5 = 10
-5
5x = 5
/5
x = 1
We can plug x into each x value to verify if this is true.
2(1) + 5 = 10 - 3(1)
2 + 5 = 10 - 3
7 = 7
Not only in mathematics, scientific proof also are required in the other field of science. Also maths proofs are of particular structure, containing steps and logics. So proving is like doing science, it is science. That's why it is important to prove.
An inaccurate proof leads to errors, or stating results that are not accurate.
Example 1:
If the derivative of a function is negative, then the function is decreasing.
Example 2:
The sum of the measures of the angles of any triangle is 180°.
Example 2:
Given a triangle whose vertices are on a circle and one side is the
diameter of the triangle, then the triangle is right angled.
Option A:
![\sqrt{17}, \sqrt[3]{14}](https://tex.z-dn.net/?f=%5Csqrt%7B17%7D%2C%20%5Csqrt%5B3%5D%7B14%7D)
are irrational numbers.
Solution:
Given numbers:
![$\sqrt{17} , 0, \sqrt[3]{8} , \frac{22}{7} , \sqrt{81} , \sqrt[3]{14}](https://tex.z-dn.net/?f=%24%5Csqrt%7B17%7D%20%2C%200%2C%20%5Csqrt%5B3%5D%7B8%7D%20%2C%20%5Cfrac%7B22%7D%7B7%7D%20%2C%20%5Csqrt%7B81%7D%20%2C%20%5Csqrt%5B3%5D%7B14%7D)
To which of these are irrational numbers:
<u>Irrational:</u>
An irrational number cannot be written in the form 
, where a and b are integers and b is non-zero.
(1) 
cannot be written as .
So, it is a irrational.
(2) ![\sqrt[3]{8} =\sqrt[3]{2^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D%20%3D%5Csqrt%5B3%5D%7B2%5E3%7D)
Cube and cube roots are get canceled.
![\sqrt[3]{8} =2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D%20%3D2)
2 is an integer. So it is not a irrational number.
(3) 
is in the form .
So it is not a irrational number.
(4)
Square and square root are get canceled.
9 is an integer. So it is not a irrational number.
(5) ![\sqrt[3]{14}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B14%7D)
14 cannot be written as form.
So, it is a irrational number.
Therefore are irrational numbers.
Option A is the correct answer.
The answer is 6.5
hope this helps :)
+
Convert your denominators into a same number..
as a mixed number =
Your answer -
