Answer:

Step-by-step explanation:
<u>Exponential Function</u>
The exponential function can be written with the general equation:

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.
The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.
Substituting in the third function:



This gives the correct value of f(0)=4.
Substituting in the fourth function:



This choice is wrong
Correct choice:

The GCF is 5 so the new expression would be: 5(x+2)
Answer:
41 inches of wire will cost 164 cents.
Step-by-step explanation:
1st Method
Use proportions!
18/ 72 = 41/ c
Cross multiply
18 * c = 72 * 41
18c = 2952 divide both sides by 18
<em>c = 164</em>
2nd Method.
Find the rate of the costs. r = rate
18*r = 72
r = 4 cents/inch
Now that you've found the rate you can multiply it by 41 inches to find the cents the wire costs!
41 inch * r (cents/inch) inches cancels out.
41 * 4 = 164
<em>164 cents</em>
1 (((m^(-1)) (m^5)) / (m^(-2)))^(-3) =1/m^18