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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?
A 4-inch by 6-inch photograph is going to be enlarged through increasing each side by the similar amount. The new area is 168 square inches. How many inches is each dimension incre
What kinds of classroom activities can you think of for helping children to make groups of 5 and 10? Once they have enough practice with such activities, children can be helped
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Ask question #Minimum 100 words accMick invested $5516 in an account at 14% compounded quarterly. Calculate the total investment after 1 years.
There are only Chinese and Malay pupils in a hall.The ratio of the number of boys to the number of girls is 2:3.The ratio of the number of Chinese boys to the number of Malay boys
Example Sketch the graph of following f( x ) = 2x and g( x ) = ( 1 /2) x Solution Let's firstly make a table of values for these two functions. Following is
Find the normalized differential equation which has {x, xex} as its fundamental set
WHAT IS PLACE VALUE? : (This section is only for your assumptions, and not-meant to be passed on to your learners.) You may have realised that in the decimal system the numeral
how many numbers must be selected from the set A={1, 3, 5, 7, 9, 11, 13, 15}to guarantee that at least one pair of these numbers add up to16? Explain and justify your answer
we have x''''=x+m =>m=x''''-xand y'''' =y+n =>n=y''''-yhence m+n=(x''''+y'''') - (x+y)taking y''''=y=1 we get m+n= x''''-xputting y=1 in y=log2 3x.... we get x=2/3putting y''''=1 in y''''=log2 (12x''''-96)... we get x''''=49/6Hence m+n= x''''-x=49/6 - 2/3 =45/6=15/2hence m+n= 15/2 (ANS).
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