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Leona [35]
3 years ago
6

Use the equation and type the ordered-pairs.

Mathematics
2 answers:
s2008m [1.1K]3 years ago
6 0

Answer:

The given equation , in two variables is

   y= log 3 x

Ordered pair is written in the form of ,(x,y).

1. x=\frac{1}{3}, y=\log 3 \times\frac{1}{3}\\\\ y=\log 1 \\\\ y=0\\\\2. x=1, y=\log 3 \times 1\\\\y=\log 3\\\\ 3. x=3, y=\log 3 \times 3\\\\ y=\log 3^2\\\\ y=2\log 3\\\\4. x=9=3^2, y=\log 3 \times 9\\\\ y=\log 3^3\\\\ y=3\log 3 \\\\5.  x=27=3^3, y=\log 3 \times 3^3\\\\ y=\log 3^4\\\\ y=4\log 3\\\\6. x=81=3^4, y=\log 3 \times 3^4\\\\ y=\log 3^5\\\\ y=5\log 3

Sophie [7]3 years ago
3 0
If it is y = love 2x:

 <span>y = log_2 (x) =====> when x = 1/2 
y = log_2 (1/2) 
y = -1 ======> (1/2 , -1) 

y = log_2 (x) =====> when x = 1 
y = log_2 (1) 
y = 0 ======> (1 , 0) 

y = log_2 (x) =====> when x = 2 
y = log_2 (2) 
y = 1 ======> (2 , 1) 

y = log_2 (x) =====> when x = 4 
y = log_2 (4) 
y = 2 ======> (4 , 2) 

y = log_2 (x) =====> when x = 8 
y = log_2 (8) 
y = 3 ======> (8 , 3) 

y = log_2 (x) =====> when x = 16 
y = log_2 (16) 
y = 4 ======> (16 , 4) </span>
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Answer:

(a)The total number of outcomes where the sum is 9 or

    greater than 9 is  10

(b)Total number of outcomes where the sum is odd = 18

(c)Total number of outcomes where the  sum greater or equal to 9 and is

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Step-by-step explanation:

Here, Sample Space = { Sum of the two digits when two dices are thrown together}

or,   S   =   {2,3,4,5,6,7,8,9,10,11,12}

(a)  The number of ordered pairs where sum is  9 or greater than 9

    = { sum is 9  ,  Sum is 10 ,  Sum is 11,   Sum is 12}

    = {(6,3)(3,6),(4,5)(5,4) ,   (5,5), (6,4),(4,6)  , (6,5)(5,6),   (6,6)}

Hence the total number of outcomes where the sum is 9 or

greater than 9 is  10

(b)  The number of ordered pairs where sum is odd.

    = { Sum is 3 ,  Sum is 5,   Sum is 7, Sum is 9, Sum is 11}

    = {(1,2)(2,1),   (4,1)(1,4),(2,3)(3,2) ,   (6,1), (1,6),(5,2),(2,5),(4,3)(3,4)  ,

        (6,3)(3,6), (4,5)(5,4),  (6,5),(5,6)}  = 18

Hence total number of outcomes where the sum is odd = 18

(c) Intersection point refers the outcomes which have sum greater or equal to 9 and is odd

Here, the possible outcomes are  = { Sum is 9 ,  Sum is 11}

                                            ={ (6,3)(3,6), (4,5)(5,4),  (6,5),(5,6)}  = 6

Hence total number of outcomes where the  sum greater or equal to 9 and is also odd = 6

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