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

Fractions, how do you do fractions mixed numbers and how do you add and sub...

how do you do fractions mixed numbers and how do you add and subtract fractions.

Volume, Rajun uses 2/3 of a carton of milk to make a pancake. The volume of...

Rajun uses 2/3 of a carton of milk to make a pancake. The volume of milk he uses is 800ml. calculate the volume, in l, of a milk in carton?

Product rule, Product Rule If the two functions f(x) & g(x) are differe...

Product Rule If the two functions f(x) & g(x) are differentiable (i.e. the derivative exist) then the product is differentiable and,

Maths Assignment, Hi, I really need an idea and a layout on where i should ...

Hi, I really need an idea and a layout on where i should take my Maths assignment. This is for Year 12, and i want to focus on Maths in Music. It has to be at least 6 to 12 pages l

5th grader, my qustion is how do you muliply frations

my qustion is how do you muliply frations

Rules of game theory, Rules Of Game Theory i.   The number of competito...

Rules Of Game Theory i.   The number of competitors is finite ii.   There is conflict of interests among the participants iii.  Each of these participants has available t

Equal-sharing-categories of situations requiring division , Equal-sharing ...

Equal-sharing - situations in which we need to find out how much each portion Multiplication and Division contains when a given quantity is shared out into a number of equal porti

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