Answer:
x² - 2x - 8
Step-by-step explanation:
The notation (f·g)(x) means to multiply the two functions. Use the distributive property to simplify.
(f·g)(x) = (x+2)(x-4) = x² + 2x - 4x - 8 = x² - 2x - 8
Answer:
<em>C. 3.8 years</em>
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The actual population of deer in a forest is Po=800 individuals. It's been predicted the population will grow at a rate of 20% per year (r=0.2).
We have enough information to write the exponential model:


It's required to find the number of years required for the population of deers to double, that is, P = 2*Po = 1600. We need to solve for t:

Dividing by 800:

Taking logarithms:

Dividing by log 1.2:

Calculating:
t = 3.8 years
Answer: C. 3.8 years
-10 or X=1.25
hope this helps
Answer:
9√10 (nine square root ten)
Step-by-step explanation:
(3√3 .√5.√3.)√2
= (3√3*3.√5)√2
=(3*3.√5)√2
=(9√5) √2
=9√5*2
=9√10
Answer:
For the graph see attached image.
The y-intercept is 2
Step-by-step explanation:
The requested graph of the function is included in the attached image.
The y-intercept can be seen from the image, but also from finding the y-value when x= 0 (zero):
