Acinema has 37 rows of seats 23 seats in each row adult tickets are £8 each child tickets are £6 the cinema has sold tickets for every seat the manager estimates that's £6400 was raised from these tickets 200 child tickets were sold. check whether the managers estimate was close to the exact amount of money raised

Step-by-step explanation:

total number of seats=37×23=851

adult seats=851-200=651

money raised for adults=651×8=5208

money raised from 200 child tickets=200×6=1200

total amount raised=5208+1200=6408

actually raised money=6400

which is close to exact money.

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step-by-step explanation:

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g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.