The value of m+n, Mathematics

Assignment Help:

Every point (x,y) on the curve y=log2 3x is transferred to a new point by the following translation (x',y')=(x+m,y+n), where m and n are integers. The set of (x',y') form the curve y=log2(12x-96). What is the value of m+n?

 

Solution) we have x''=x+m =>m=x''-x
and y'' =y+n =>n=y''-y
hence m+n=(x''+y'') - (x+y)
taking y''=y=1 we get m+n= x''-x
putting y=1 in y=log2 3x.... we get x=2/3
putting y''=1 in y''=log2 (12x''-96)... we get x''=49/6
Hence m+n= x''-x=49/6 - 2/3
                          =45/6=15/2
hence m+n= 15/2 (ANS).


Related Discussions:- The value of m+n

Probability, Question: There are 6 letters and 6 self addressed envelopes.W...

Question: There are 6 letters and 6 self addressed envelopes.What is the probability that atleast 1 is placed correctly?? Ans: If we let A be the event that letter A is in the cor

#perimeter, what are the formulas in finding the perimeter of a plane figur...

what are the formulas in finding the perimeter of a plane figure?

Smith keeps track of poor work, Smith keeps track of poor work. Often on af...

Smith keeps track of poor work. Often on afternoon it is 5%. If he checks 300 of 7500 instruments what is probability he will find less than 20 substandard?

Chain rule, Chain Rule :   If f(x) and g(x) are both differentiable func...

Chain Rule :   If f(x) and g(x) are both differentiable functions and we describe F(x) = (f. g)(x) so the derivative of F(x) is F′(x) = f ′(g(x)) g′(x).  Proof We will s

Determine the fraction of the time, Ipswich has two ambulances. Ambulance 1...

Ipswich has two ambulances. Ambulance 1 is based at the local college and ambulance 2 is based downtown. If a request for an ambulance comes from the local college, the college-bas

Shares and dividend, A man in rested rupee 800 is buying rupee5 shares and ...

A man in rested rupee 800 is buying rupee5 shares and then they are selling at premium of rupee 1.15.he sells all the share.find profit?

Geometry, P and Q are the points (12,0) and (0,-5) respectively,find the le...

P and Q are the points (12,0) and (0,-5) respectively,find the length of the median through the origin O of the triangle OPQ

First order linear differential equation, Newton's Second Law of motion, wh...

Newton's Second Law of motion, which recall from the earlier section that can be written as: m(dv/dt) = F (t,v) Here F(t,v) is the sum of forces which act on the object and m

HELP, HOW MANY TENS ONES AND HUNDRED ARE IN A GROUP OF 2

HOW MANY TENS ONES AND HUNDRED ARE IN A GROUP OF 2

Algebra, sir i want to ask u a question and that is if we simplify this wha...

sir i want to ask u a question and that is if we simplify this what will be the answer.(9x-45z+6y-100z+5x)

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd