13. The surveys of interest for a concert produced these data points about the relation between ticket price and ticket sales

Ticket Price (S)

3

5

7

9

11

13

Ticket Sales (S) 1447 1353 1212 1025 790 509

(A) Find the quadratic equation that best models the data,

14a)

(B) Predict the ticket sales if the tickets are $8 each.

14b)

(C) What would the price of the ticket have been if there

is $1000 in ticket sales?

14c)

1500.110 - 0.157x - 5.853x² ;

1124.262

Step-by-step explanation:

Given the data:

Price __ Sales

3 1447

5 ___ 1353

7 1212

9 1025

11 790

13 509

Usibg the quadratic regression calculator :

1500.110 - 0.157x - 5.853x²

If ticket price = $8 each

Ticket sales will be :

y = 1500.110 - 0.157(8)- 5.853(8^2)

= 1124.262

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.