linear equation in one variable
Hello student,
The linear equation in one variable is an equation which can be expressed in the form such as 'ax + b = 0' (a, b and c are real numbers) where a and b are the two integers , and x has just one solution also which is a variable .
Taking example of one such equation :
4x+9=-11
When you solve this equation, it will have only one solution.
These type of equations are also known as first degree equations because the exponent on the variable is 1.
I hope the answer is clear to you. Thank you.
Given production is 1,00,000 units, fixed costs is Rs 2,00,000 Selling price is Rs 10 per unit and variable cost is Rs 6 per unit. Determine profit using technique of marginal costing
Hello aspirant,
Here is the answer to your question.
Marginal costing shows that the meaning of profit gets changed, but here profit means contribution.
Hence, Selling Price= 10 per unit-Variable Cost=6 per unit contribution which is equal to 4 per unit total contribution= 4 per unit * 100000 units= 4 lakhs
So, final profit= 4 lakhs - 2 lakhs (Fixed Cost= 2 lakhs.
Hope, it helps you.
the locus of the foot of the perpendicular draw from origin to a variable line passing through fixed point (2,3) is a circle whose diameter is
Hello aspirant,
The answer will be-
Assume slope of line be m
(2,3) are fixed points
Equation of line:-
y-3=m*(x-2)
y-3=mx-2m
mx-y+3-2m=0
Foot of perpendicular from origin (0,0) is-
(2-0)/m=(y-0)/(-1)= -(0+3-2m)/{0.5^(1+m^2)}
m= -x/y
Now, mx-y+3-2m=0
(-x/y)x-y+3-2(-x/y)=0
x^2+y^2-2^x-3^y=0
Centre=(1, 3/2)
Radius= 0.5^(1^2+(3/2)^2-0) = √13/2
Diameter = 2*Radius = 2* (√13/2) = √13
Hope, it helps you.
Short Questions: (5*4marks=20marks) 31. Give a reason for the following: (a) Transition metals show variable oxidation states. (b) E value of (Zn/Zn) is negative while that of (Cu/Cu) is positive. (c) Higher oxidation state of Mn with fluorine is +4 whereas with oxygen is +7. |3]. 32. What is Tollen
Hello!
31-(a) Transition metals show variable oxidation state because of their valence electron in two orbitals. Difference between the two orbitals is too less, hence both the energy levels can form bonds.
(b) Zinc (Zn) have higher tendency to loose electron when compared to that of Cupper(Cu)
(c) Mn shows +7 oxidation state with oxygen is because they are capable of forming double bonds, multiple bonds. When it comes to the case of fluorine they will become unstable.
32) Tollens is a test that is used to distinguish between aldehydes and ketones. Tollens reagent is used for silver mirror test. Aldehydes gets oxidized in Tollens and ketone wont. Tollens have ammoniacal content. EQUATION- 2AgnO3 + 2NaOH --- Ag2O(s) + 2NaNO3 + H2O.
ALL THE BEST. Hope the answer was helpful.
Thank You
application of two variable optimaisation technique to solve the problem of price discrimination
In addition to the mathematical notions for assigning stationary points with the help of the first partial derivatives of the two-variable function, we will classify these stationary points with the help of the second partial derivatives of the two-variable function, when the function f (x , y) reaches the maximum and when it reaches the minimum. The above notions will be applied to the profit optimisation of any enterprise that produces two goods. We will also optimise an enterprise that sells some kind of product in different markets with price discrimination.
I hope this helps.
consider a conductor of variable cross section in which current is flowing from cross section 1 to 2. then
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In LSAT, there is a variable section. Can you elaborate on that please?
LSAT India was to be conducted in pen and paper mode this year also as always and as a result we were going to introduce the variable section but not for LSAT online, the test that is going to happen this year, there will be no variable section so there will only be four sections of the test. There will be one section of the reading comprehension, two sections of logical reasoning, and one section of analytical reasoning.
Dr. Jason Dickenson
Director, India Testing- Law School Admission Council (LSAC)