ANSWER
Find out the how many cans does each one have.
To proof
As given
Amelia and Elliott are collecting empty soda cans for recycling
Amelia has 13 less than 5 times the cans that Elliott has.
let us assume that the Elliott has can be =x
Amelia can = 5x -13
Total can = 257 cans
than the equation becomes
x + 5x - 13 = 257
6x = 257 +13
6x = 270
x = 45
Elliott has can be = 45cans
Amelia can = 5 × 45 - 13
= 212cans
Hence proved
Answer:
8n-1
Step-by-step explanation:
it would be 8n-1 because you combine like terms
Answer a = 5 and b = 2.
Procedure
Initially means x = 0, then
5 = a*b^0 = a*1 = a, then a = 5
When x = 1, the height is the double of 5, i.e 10 and
10 = a.b^1 = a.b ⇒ b = 10/a = 10/5 = 2
The a = 5 and b = 2, so the equation is y =5(2)^x
Answer:
See the graph and explanation below.
Step-by-step explanation:
For this case we have the following function:

The domain for this function is given by:
since the natural log is not defined for negative numbers
, 
We can calculate some points in order to see the tendency of the graph, we can select a set of points for example
and we can calculate the values for f(x) like this
x=5.5

x=6

That represent the x intercept
x=7

x=8

x=9

x=10

And that represent the x intercept
And then we can see the plot on the figure attached.