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:
SLOPE = -5
Step-by-step explanation:
Because that's what x is.
. Subtract 10x from both sides.
. Divide by 5 on both sides. x=20. So you would need to buy 20 movies.
Ishaan to have a score of 97 on the next exam have an overall average of 85
What is the mean of exam scores?
The mean of exam scores is the sum of the scores divided by the number of exams taken, more like an average of all scores
Initially, average score on 4 exams is 82
average=total score/number of exams
average score on 4 exams=82
total score =unknown=assume it is
number of exams=4
82=x/4
x=4*82
x=328
In order to have an overall average score of 85, we would sum the total score of 4 exams and the fifth exam and divide by 5 exams
85=(328+y)/5
85*5=328+y
425=328+y
y=425-328
y=97
Find out more about average on:brainly.com/question/20118982
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