CPhill

​f(x)​ is greater than ​g(x)​ on the interval ​ (0,1) ​.

​f(1) is equal to g(1) .

–3p and 13p

Rate of change from [9,10 ] = [11014 - 4052] / [10 - 9]   = 6962

Rate of change on  [ 5, 8] = [ 1491 - 75] / [ 8 - 5]  = 472

So

6962 / 472  =    14.75 times as great

P.S.  -  not sure if this is the answer that is wanted...

Second one

MA =  46.2 - 14  =   32.2

BP =  72.6 - x

So, again, we have this relationship

MA /  NA  = MB / BP

32.2/ 14  = x /  [ 72.6 - x ]      cross-multiply

32.2 [ 72.6 - x ]   = 14x     simplify

2337.72 - 32.2x  =  14x        add 32.2x to both sides

2337.72 =  46.2x      divide both sides by 46.2

50.6   =  x

( -5 + i ) * i         -5i + i^2           -5i - 1          - (5i + 1)        5i + 1

_________ =    _______  =   ________ =  _______   =   _______

   2i * i                  2i^2               -2                   -2                    2

First one :

Since we have a segment parallel to a base of a triangle,the sides are in equal proportion...so....

121/ 11 =  (5x + 10)  / 10

11 =  (5x + 10) / 10      multiply both sides by 10

110  = 5x + 10      subtract 10 from both sides

100 = 5x    divide both sides by 5

20  =  x

The first is true

The y intercept of g(x)  = -4

The y intercept of f(x) = 2

The second is false

f(x) is positive on this interval

g(x) is negative on this interval

The third is true

Max of g(x)   = 5

Max of f(x) = 2

The last is true

The x intercepts for both are  x =-2  and x = 2

CORRECT  !!!

The mean is 49.1

The standard deviation is  27.8

So.....one SD from the mean is  from

49.1 - 27.8       to    49.1 + 27.8   =

21.3     to    76.9

6 scores fall into the range = 6/10 =  60%

This is lower than expected   (we expect 68% to fall witin the range )

C(10, 5) *  (1/2)^5 * (1/2)^5   =  .246  = 24/6%