Ques:- When x is real what is the least value of (x**2-6*x+5)/(x**2+2*x+1)
Recent Answer : Added by Admin On 2020-05-17 12:01:23:
(x**2 – 6* x + 5) = (x-1)*(x-5)
(x**2 + 2 * x + 1) = (x + 1) * (x+1) = (x+1)**2
For what x is (x-1)*(x-5)/( (x+1)**2) a minimum?
One way to answer this question is by using calculus.
Take the derivative, and set to zero.
Since this is a fraction of polynomials, and a fraction is
zero only if it’s numerator is zero, we need calculate only
the numerator of the derivative and set it to zero.
The numerator of the
Derivative of (x-1)*(x-5)/( (x+1)**2) is
( (x-1) + (x-5) ) ( x+1)**2 – (x-1)(x-5)( 2 (x+1) )
= (2 x – 6) (x+1)**2 – (2) (x-1)(x-5) (x+1)
= 0
Divide through by 2 (x+1)
(x-3)(x+1) – (x-1)(x-5) = 0
(x**2 – 2 x – 3 ) – (x**2 – 6 x + 5) = 0
x**2 – x**2 – 2 x + 6 x – 3 – 5 = 0
4 x – 8 = 0
x = 2
Plugging in x = 2 into the original
(x**2-6*x+5)/(x**2+2*x+1)
gives us (2**2 – 6 * 2 + 5)/(2**2 + 2*2 + 1)
= (4 – 12 + 5) / (4 + 4 + 1) = -3/9 = -1/3
Least value is -1/3
Ques:- Three different containers contain different quantities of mixture milk and water, whose measurements are 403 Kg, 434 Kg and 465 Kg. What biggest measure must be there to measure all the different quantities exactly?
A. 1 Kg
B. 7 Kg
C. 14 Kg
D. 31 Kg
Recent Answer : Added by anonymous On 2022-03-09 16:37:53:
31
cos
434-403=31
465-434=31
Ques:- In each questions below are given two statements followed by two conclusions numbered I and II. Statements : Some men are educated. Educated persons prefer small families. Conclusions :
I. All small families are educated. II. Some men prefer small families.
A. if only conclusion I follows
B. if only conclusion II follows
C. if either conclusion I or II follows
D. if neither conclusion I nor II follows
E. if both conclusions I and II follow
Ques:- A Roman was born the first day of the 35th year before Christ and died the first day of the 35th year after Christ. How many years did he live?
Recent Answer : Added by Aditya Arunrao Khaparkar On 2021-09-23 15:56:05:
A Roman was born the first day of the 35th year before Christ means before the start of year 0, 35 years has been past and died the first day of the 35th year after Christ means 35th year is about to start at his death so only 34 years has been completed so total years = 69
Ques:- A train 240 m in length crosses a telegraph post in 16 seconds. What is the speed of the train ?
Recent Answer : Added by jay On 2022-03-09 16:41:09:
speed = distance / time.
240/16=15m/sec=54km/hr
Ques:- In the Tour de France, what is the position of a rider, after he passes the second placed rider?
Recent Answer : Added by Ashish Makhija On 2022-08-14 16:35:56:
Second
Ques:- The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)
Ques:- Where you worked first
Ques:- A man owns 2/3 of the market research beauro business and sells 3/4 of his shares for Rs. 75000. What is the value of Business.
Recent Answer : Added by Admin On 2020-05-17 12:01:38:
1,50,000
Ques:- If the area of circle is 616 sq cm thenWhat is its circumference?
Recent Answer : Added by Meghana.N On 2021-08-05 17:35:31:
Answer:50.24
Explanation:
Area of a circle =π*r*r
616=π*r*r
r*r= 616÷3.14
r*r =196
r =13
Circumference of a circle= 2*π*r
=2*π*13
=16*3.14=50.24
Ques:- The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number?
Recent Answer : Added by Priya On 2022-05-17 09:06:45:
270
Ques:- About myself, why American Express?
Ques:- Evaluate the greatest number of five digits which is divisible by 32, 36, 40, 42 and 48?
Recent Answer : Added by Admin On 2022-09-30 08:14:07:
answer= 90720
Ques:- Have you made any individual presentations recently? How did you prepare?
Ques:- Can you name three consecutive days without using the words Wednesday, Friday, or Saturday?
Recent Answer : Added by Shweta Gupta On 2022-09-02 17:03:06:
Sunday
Monday
Tuesday
Ques:- Find the odd man out:
385, 462, 572, 396, 427, 671, 264
A. 671
B. 427
C. 385
D. 264
Recent Answer : Added by Manthan Shukla On 2022-03-11 17:00:08:
427 is the answer
Because
385 means (3+5=8) or (8-3=5) ,
462 means (4+2=6) or (6-2=4) ,
572 means (5+2=7) or (7-5=2) ,
396 means (6+3=9) or (9-3=6) ,
671 means (6+1=7) or (7-6=1) ,
264 means (4+2=6) or (6-2=4) ,
but only 427 is the number in which if we do addition of any of its two digits (e.g 4+2 or 4+7) then its answer doesn’t come 3rd digit
like if we do 4+2 then answer will be 6 so the number should be 426 but it is not
or if we do 7-4 then answer will be 3 (not 2)
so the right answer is 427
Ques:- 12% of 5000 = ?
A. 600
B. 620
C. 680
D. 720
Recent Answer : Added by Virendra Singh On 2021-12-13 17:58:45:
1%=50
12%=600
Ques:- Seventy five years ago pharmacists weighed medicine on balances like the ones you have been using. The mass pieces were very expensive, so a pharmacist would buy as few mass pieces as possible. If a pharmacist had 1-g, 3-g, and 9-g mass pieces, he or she could weight out any number of grams from 1 g to 13 g. Show how could measure all of the masses from 1 g to 13 g using only the three mass pieces given?
Recent Answer : Added by Masuda Akter Tonima On 2021-11-22 18:34:57:
1. 1g
2. 3g with 1g counter
3. 3g
4. 3g plus 1g
5. 3g plus 1 g plus 1g weighed medicine
6. 9g with 3g counter
7. 9g with 1g of counter and 1g weighed medicine
8. 9g with 1g counter
9. 9g
10. 9g plus 1g
11. 9g plus 3g with 1g on counter
12. 9g plus 3g
13. All 3 weights on one side.
Ques:- Train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds. The length of train P is three-fourths the length of train Q. What is the ratio of the speed of train P to that of train Q?
Recent Answer : Added by Prathyush On 2021-11-13 15:43:18:
Ques:- A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is
A. 4%
B. 10%
C. 20%
D. 40%
Recent Answer : Added by CHANCHAL CHETRY On 2021-11-22 17:29:33:
c
Ques:- For cascaded 1800 BTS with master 900 BTS,if 900 master BTS is down for its own equipment fault,cascaded slave 1800 BTS gets down/stop carrying traffic without any fault as BCCH and other controllong channels are in master 900 BTS.Is there any technology/
Recent Answer : Added by DK BOSS On 2021-07-30 16:26:20:
Might be using dual E1 in that case will be much more helpful.
Ques:- ASKED ABOUT FAMILY BACKGROUND
Ques:- What is the worst thing in this world you think and why?What is the best thing in this world you think and why?
Ques:- In a class , except 18 all are above 50 years. 15 are below 50 years of age. how many people are there
Recent Answer : Added by 9074743593 On 2021-07-29 16:19:36:
None of these
Ques:- Every day a cyclist meets a train at a particular crossing .The road is straight before the crossing and both are travelling in the same direction.Cyclist travels with a speed of 10 kmph.One day the cyclist come late by 25 minutes and meets the train 5 km before the crossing.What is the speed of the train?
Ques:- Have you worked earlier in construction site?
Ques:- A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
Ques:- Your fab sub, project work during education?
(x**2 – 6* x + 5) = (x-1)*(x-5)
(x**2 + 2 * x + 1) = (x + 1) * (x+1) = (x+1)**2
For what x is (x-1)*(x-5)/( (x+1)**2) a minimum?
One way to answer this question is by using calculus.
Take the derivative, and set to zero.
Since this is a fraction of polynomials, and a fraction is
zero only if it’s numerator is zero, we need calculate only
the numerator of the derivative and set it to zero.
The numerator of the
Derivative of (x-1)*(x-5)/( (x+1)**2) is
( (x-1) + (x-5) ) ( x+1)**2 – (x-1)(x-5)( 2 (x+1) )
= (2 x – 6) (x+1)**2 – (2) (x-1)(x-5) (x+1)
= 0
Divide through by 2 (x+1)
(x-3)(x+1) – (x-1)(x-5) = 0
(x**2 – 2 x – 3 ) – (x**2 – 6 x + 5) = 0
x**2 – x**2 – 2 x + 6 x – 3 – 5 = 0
4 x – 8 = 0
x = 2
Plugging in x = 2 into the original
(x**2-6*x+5)/(x**2+2*x+1)
gives us (2**2 – 6 * 2 + 5)/(2**2 + 2*2 + 1)
= (4 – 12 + 5) / (4 + 4 + 1) = -3/9 = -1/3
Least value is -1/3