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Morgarella [4.7K]
3 years ago
14

Nick is solving the equation 3x^2=20-7x with the quadratic formula

Mathematics
1 answer:
krek1111 [17]3 years ago
6 0

Answer:

C. a = 3

b = 7

c = -20

Step-by-step explanation:

x = -b+/- (sq) b^2 - 4ac.

Well the way to plug the numbers in is by using this equation: Ax^2 + Bx + C = 0

S if you use your equation : 3x^2 = 20 - 7x

First you have to move everything to one side.

So it'll look like this:

3x^2 = 20 - 7x

-20      -20

3x^2 - 20 = -7x

+7x  +7x

3x^2 - 20 + 7x = 0

don't forget that... Ax^2 +Bx+ C= 0

3 = A

7 = B

-20 = C

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This is an Arithmetic Progression with 1st term 11 and common difference d=6

Number of Rows     Number of seats      Common difference " d" 
-----------------------     -----------------------     -------------------------------------
1st                                  a₁     = 11                                 
2nd                                 a₁+d =17               d =2nd - 1st = 6
3rd                                  a₁ +2d = 23           d =3rd - 2nd = 6
4th                                  a₁ +3d = 29            d= 4th - 3rd = 6
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18th ROW                       a₁₈ =   11 + (18-1).6 = 11+(17)(6) = 113 

General equation to predict the number of seat an the nth row:
Number of seats in nth row = a₁ + (n-1).d
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Step-by-step explanation:

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