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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 card is drawn from a well shuffled deck of cards (i) What are the odds in favour of getting spade? (Ans: 1:3, 3:1, 3:10, 1:25) (ii) What are the odds against getting a spa
(x+1/x)^2=3 then value of x^72+x^66+x^54+x^36+x^24+x^6+1 is
An investment manager at TD Ameritrade is making a decision about a $10,000,000 investment. There are four portfolio options available and she is looking at annual return of these
5/7+5/14
Differentiate following. f ( x ) = sin (3x 2 + x ) Solution It looks as the outside function is the sine & the inside function is 3x 2 +x. The derivative is then.
korda ab e ndan rrethin me qender o ne dy harqe njeri prej tyre eshte sa trefishi i tjetrit gjeni masat e harqeve dhe masat e trekendeshit aob
Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA
Probability Distributions Since the value of a random variable cannot be predicted accurately, by convention, probabilities are assigned to all the likely values that the varia
Noah is renewing a magazine subscription. one package offers to renew the magazine for 3 years for 26$. A second package offers to renew the magazine for 5 years for $38
John and Charlie have a whole of 80 dollars. John has x dollars. How much money does Charlie have? This problem translates to the expression 42 + (11 - 9) ÷ 2. Using order of o
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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