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

Geometry help, A painter leans a 10-foot ladder against the house she is to...

A painter leans a 10-foot ladder against the house she is to paint. The foot of the ladder is 3 feet from the house. How far above the ground does the ladder touch the house? Appro

Alternating series test - sequences and series, Alternating Series Test - S...

Alternating Series Test - Sequences and Series The final two tests that we looked at for series convergence has needed that all the terms in the series be positive.  Actually t

Estimation of population proportions, Estimation of population proportions ...

Estimation of population proportions This form of estimation applies at the times while information cannot be described as a mean or as a measure but only as a percentage or fr

I am mathematics expert, i want some assignment for earning i am mathemati...

i want some assignment for earning i am mathematics expert plz provide us mathematics assignment as soon as possible

Triangles, In a triangle ABC, D &E is a are points on AB & AC ,if the one s...

In a triangle ABC, D &E is a are points on AB & AC ,if the one side of a triangle is 4cm & another side is 5 cm find that the ar(triangleABC):ar(BCDE)

Evaluate the volume of one orange, An orange has a diameter of 3 inches. Ev...

An orange has a diameter of 3 inches. Evaluate the volume of one orange. (π = 3.14) a. 9.42 in 3 b. 113.04 in 3 c. 28.26 in 3 d. 14.13 in 3 d. To determine the

Some general facts about lines, First, larger the number (ignoring any minu...

First, larger the number (ignoring any minus signs) the steeper the line.  Thus, we can use the slope to tell us something regarding just how steep a line is. Next, if the slope

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