ElectricPavlov

The first one is UNtrue because, what if x is less than negative three?

SEE:

https://web2.0calc.com/questions/help-pls-with-exponential-growth

Please do not post the same questions multiple times....OK? 

The first , second and fourth are GROWTH   the others are decay (because they have terms less than 1 that are raised to ^t)

100*(1.1)^t    where t= #years

  with t=8

trucks = 214.31 ~ 214 trucks

They have to mutlipy together to -10 and add to to t

5   -2      t=3

10   -1        9

-5     2       -3

-10   1      -9

When t=1

h= -16(1^2) +64(1) = 48 FT

Max = c- b^2/4a  = 0 - (64^2/(4(-16)) = 64 ft

t max    64 = -16t^2 +64t        -t^2 +4t -4 = 0       or  t^2 -4t+4 = 0       (t-2)(t-2)     = 0     so t max = 2 sec

h= 0

 0 = -16t^2 + 64t

16t = 64

t= 4 sec

Change it to y = mx + b form   where m = slope (gradient)

3x+5y=8

5y=-3x + 8

y = -3/5 x + 8/5        gradient =  - 3/5

28 c 9 =6906900 combos

Here is a graph:

"C"     which you already found....do you have a question?

y intercept occurs when x= 0

   sub in x = 0    to get   log 4    + 2 = 2.60

x intercept happens when y= 0

    sub in y = 0 to get

       0 = log(3x+4)  + 2

      -2 = log(3x+4)             raise 10 to  both sides of the equation  (anti-log    or inverse log) 

      10^-2 = 3x+4

     .01  -4 = 3x

   -  3.99 = 3x

        x intercept =- 3.99/3 = -1.33