Actually
carrots=> $12
celery => $3
(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
13
None of these
16 chapatis* 6 Rs= 96
5 plates of rice * 45 Rs = 225
7 plates of mixed vegetable * 70 Rs = 490
6 ice-cream * ??
The amount that Alok paid the cashier was Rs.961
96+225+490 = 811
961-811= 150
150/6 = 25
The cost of each ice-cream cup is 25 .Rs
just will draw the line first and then draw three concentric circles
1(100-1)+ 2(100-2)+…..99(100-99)
N=100
solution: N(N-1)
100(99)= 9900
Blue
C=150
a
60 liter
Explanation:
72 — 9
? —- 1
=> Down Stream = 8
45 —- 9
? —- 1
=> Up Stream = 5
Speed od current S = ?
S = (8 – 5)/2 = 1.5 kmph.
Effective management and supervision typically involve several key aspects:
Setting clear goals: As a manager or supervisor, it is important to establish clear goals and communicate them to your team members. This ensures everyone understands the expectations and can work towards a common objective.
Providing guidance and support: Managers should provide guidance and support to their team members by offering feedback, answering questions, and providing resources or training to help them succeed in their roles.
Delegating tasks: A good manager knows how to delegate tasks effectively. Delegation involves assigning appropriate tasks to team members based on their skills and strengths, and ensuring they have the necessary resources and support to complete the tasks successfully.
Effective communication: Communication is a crucial aspect of management and supervision. Managers should establish open lines of communication, actively listen to their team members, provide regular updates and feedback, and encourage open dialogue to foster a positive work environment.
Motivating and recognizing achievements: A skilled manager understands the importance of motivating their team members and recognizing their accomplishments. This can be done through positive reinforcement, offering incentives or rewards, and acknowledging individual and team achievements.
Problem-solving and conflict resolution: Managers often encounter challenges and conflicts within their teams. Effective managers possess strong problem-solving and conflict resolution skills to address issues in a fair and constructive manner, fostering collaboration and maintaining a harmonious work environment.
263, 284, 393, 481, 482
B
w(drown)
$560