Given the expression,
We will have to rationalize the denominator first. To rationalize the denominator we have to multiply the numerator and denominator both by the square root part of the denominator.
![[(8x-56x^2)(\sqrt{14x-2})]/[(\sqrt{14x-2})(\sqrt{14x-2})]](https://tex.z-dn.net/?f=%20%5B%288x-56x%5E2%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%5B%28%5Csqrt%7B14x-2%7D%29%28%5Csqrt%7B14x-2%7D%29%5D%20)
If we have 
, we will get 
by multiplying them. And 
.
So here in the problem, we will get,
![[(8x-56x^2)(\sqrt{14x-2})]/(14x-2)](https://tex.z-dn.net/?f=%20%5B%288x-56x%5E2%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%2814x-2%29%20)
Now in the numerator we have 
. We can check 8x is common there. we will take out -8x from it, we will get,
And in the denominator we have 
. We can check 2 is common there. If we take out 2 from it we will get,
So we can write the expression as
![[(-8x)(7x-1)(\sqrt{14x-2})]/[2(7x-1)]](https://tex.z-dn.net/?f=%20%5B%28-8x%29%287x-1%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%5B2%287x-1%29%5D%20)
is common to the numerator and denominator both, if we cancel it we will get,
We can divide -8 by the denominator, as -8 os divisible by 2. By dividing them we will get,
So we have got the required answer here.
The correct option is the last one.
Answer:
Option A - 7.3.
Step-by-step explanation:
Given : Number 7.323.
To find : Which number is 7.323 rounded to the nearest tenth?
Solution :
Rounded to the nearest tenth rule :
1) If the hundredths place of a decimal is greater than or equal to five, then tenth place number is added by 1.
2) If the hundredths place of a decimal is less than five, then tenth place number does not change.
In the number 7.323
The Hundredth number is 2 < 5 so tenth number does not change.
7.323 rounded to the nearest tenth is 7.3.
Therefore, Option A is correct.
La respuesta es trescientos setenta
Answer:
3:7
Step-by-step explanation:
A basket has:
6 peaches
8 plums
The total amount of fruits is
6+8= 14
The ratio of peaches to total pieces of fruit is:
6:14
3:7
