The scatter plot shows the number of stamps katie collected in different months: plot ordered pairs 1, 30 and 2, 70 and 3, 110 and 4, 150 and 5, 190 what is the approximate predicted number of stamps she collected in the 25th month?

The approximate predicted number of stamps she collected in the 25th month is 990.

Step-by-step explanation:

The ordered pairs as on the scatter plot is given as:

(1, 30)    (2, 70)     (3, 110)    (4, 150)   and (5 , 190 )

Where the ordered pair represent the number of stamps collected in different months.

Clearly from the set of values we could clearly observe that the value is increasing by 40 each month from the previous month.

i.e. we could have a recursion formula as:

 n=1,2,3,....

Which could also be written as:

(since,

 and so on

Note that here )

Where denotes the number of stamps in the previous month.

and denotes the number of stamps in the (n+1)th month.

Hence, the  number of stamps she collected in the 25th month= 30+40×24=30+960=990.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

$9.41

step-by-step explanation: