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Savatey [412]
3 years ago
15

{x | x ∈ N and x is greater than 13}

Mathematics
1 answer:
denis23 [38]3 years ago
7 0

Answer:

x = (14,15,16,,,,,,n)

Step-by-step explanation:

Here,x belongs to set of natural number N

and Condition given for set is " x is greater than 13 "

Now, N=(1,2,3,4,5,6,,,,n) and given that x > 13.

thus, x = (14,15,16,,,,,,n)

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The sum of the first 5 terms of an AP is 30 and the sum of the four term from T6 to T9 (inclusive) is 69. Find the AP​
Ainat [17]

Answer: The AP = 1, ⁷/₂, 6, ¹⁷/₂, 11 ..............

Step-by-step explanation:

From the first statement,

S₅ = ⁵/₂(2a + ( n - 1 )d }    = 30

       5(2a  + 4d )d           = 60

       10a    + 20d             = 60

reduce to lowest term to easy calculation by dividing through by 10

                      a + 2d       = 6 -----------------------------------1

second statement

sum of the next 4 terms inclusive

T₉  = ⁹/₂(2a + 8d )   = 69

        9(2a  + 8d )    = 30 + 69

            18a + 72d   = 99 x 2

            18a + 72d   = 198

divide through by 18 to reduce to lowest time

                a  + 4d    = 11 ------------------------------------------2

Now solve the two equation simultaneously to find a and d

                 a + 2d = 6

                 a + 4d = 11

                     -2d  = -5

                          d = ⁵/₂.

Now substitute  for d to get a

               a  + 2(⁵/₂) = 6

                a + 5       = 6

                           a   = 6 - 5

                            a = 1.

Therefore the AP = 1 , ⁷/₂ , 6 , ¹⁷/₂ , 11 , ..............

7 0
3 years ago
Solve.<br><br> y = -3x + 6<br> y = 10x – 7
pickupchik [31]
y = -3x + 6\\&#10;y = 10x - 7\\\\&#10;-3x+6=10x-7\\&#10;-13x=-13\\&#10;x=1\\\\&#10;y=10\cdot1-7\\&#10;y=3\\\\&#10;\boxed{x=1,y=3}&#10;&#10;
5 0
4 years ago
Solve: x - 11 = -8<br> O 3<br> O 20<br> 0 -15
Jobisdone [24]

Answer:

A.3

Step-by-step explanation:

x-11=-8

x-11+11=-8+11

x=-8+11

x=3

Hope this helps ;) ❤❤❤

6 0
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mel-nik [20]
The answer is.......5/3
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2 \sqrt{x} 5/25
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