Answer:
.
Step-by-step explanation:
We have been given that
and
. We are asked to write N as a discrete exponential function of t of the form
.
Using our given information, we can set an equation as:



Using our given information, we will get:

Substitute the given values:



Switch sides:

Take 11th root of both sides:
![\sqrt[11]{(1+r)^{11}}=\sqrt[11]{1.5476190476190476}](https://tex.z-dn.net/?f=%5Csqrt%5B11%5D%7B%281%2Br%29%5E%7B11%7D%7D%3D%5Csqrt%5B11%5D%7B1.5476190476190476%7D)




Therefore, our required function would be
.
The two end points of our line are (0,2.5) and (5,5.5). to find our slope we need to find our n difference (higher value - lower value) and our C difference (same as n) which would be 5 and 3. now we put our cost difference over our miles difference and get our slope (5/3). this means we still need out starting point. which is a cost of 2.5. the equation is C = (slope)5/3n + (starting value)2.5
Answer:
YES
Step-by-step explanation:
x + 7 = 2(3x - 4) Remove the brackets
x + 7 = 2*3x - 4*2
x + 7 = 6x - 8 Subtract 7 from both sides.
x + 7 - 7 = 6x - 8 - 7
x = 6x - 15 Subtract 6x from both sides
x - 6x = - 15
-5x = - 15 Divide by -5
-5x/-5 = -15/-5
x = 3
Well what two numbers multiply to get -8 and add to get -2?
Well, to get -8, we either have (-1,8),(-2,4),(-4,2),(-8,1)
8-1=7
-2+4=2
2-4=-2
1-8=-7
Thus it should be (-4,2),
This means we should get (X-4)(X+2)