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IrinaK [193]
3 years ago
11

Please help if you can!

Mathematics
1 answer:
Yuliya22 [10]3 years ago
3 0

Answer:

y = (2/3)x + 3

Step-by-step explanation:

Notice that if we start at any x value shown in the table and increase x by 3, y will increase by 2.  Thus, the slope of the line is 2/3.  

From the entry (0, 3), we know that the y-intercept is b = 3.

Thus, y = mx + b becomes:

y = (2/3)x + 3

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-4*13= -52
-4+13= 9

Hope this helps :) 
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Find the sum of the series given in sigma notation.
Kryger [21]

Answer:

Option b is correct 175

Step-by-step explanation:

n = 7

k = 6

3k -2 ------1

put k = 6 in above eq. for finding first term

  a1 = 3(6) - 2  = 18 - 2 = 16

put k = 7 in above eq. for finding first term

 a2 = 3(7) - 2 = 21 - 2 = 19

 a3 = 3 (8) - 2 = 24 - 2 = 22

16, 19 , 22, ...  //Arithmetic series formation

a1 = 16 , a2 = 19

d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms

Using sum forumula for arithmetic series

sum = \frac{n}{2}(2a1 + (n-1)d)

      = \frac{7}{2}(2a1 + (7-1)d)

      = \frac{7}{2}(2(16) + (6)3)

      =  \frac{7}{2}(32 + 18)    

      =  \frac{7}{2}(50)

      = 7 * 25

      = 175




4 0
3 years ago
A train has 10 cars numbered 1 through 10. If the cars are coupled randomly, what is the probability that the first3 cars are in
Pepsi [2]

You would have a 3 to 10 chance that the first 3 cars are in order


8 0
3 years ago
Read 2 more answers
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