Answer:
and growth rate factor is 0.075
Step-by-step explanation:
The function that models the population of iguanas in a reptile garden is given by 
, where x is the number of years.
Since,
i.e. 
.
Therefore, the monthly growth rate function becomes,
i.e. 
.
i.e. .
Hence, the monthly growth rate is i.e. .
Also, the growth factor is given by 
= 0.075.
Thus, the growth factor to nearest thousandth place is 0.075.
Answer:
Step-by-step explanation:
Use the formula for volume of a cone
V = 1/3 pi r^2 (h)
V = 1/3 pi 66^2 (18)
V= 1/3 pi 4356(18)
V = 1/3 pi 78408
V = 1/3 264,201.12
V = 82,067.04cm^3
Answer:
-9f
Step-by-step explanation:
Answer: (f·g)(x) = -5x³ - 31x² + 62x + 18
(f·g)(-1) = -70
(fog)(x) = 25x² - 130x + 155
(fog)(-1) = 310
<u>Step-by-step explanation:</u>
f(x) = x² + 8x + 2 g(x) = -5x + 9
(f·g)(x) = (x² + 8x + 2)(-5x + 9)
= -5x³ + 9x²
- 40x² + 72x
<u> - 10x + 18</u>
= -5x³ - 31x² + 62x + 18
(f·g)(-1)= -5(-1)³ - 31(-1)² + 62(-1) + 18
= -5(-1) - 31(1) - 62 + 18
= 5 - 31 - 62 + 18
= -70
****************************************************************************************
(fog)(x) = (-5x + 9)² + 8(-5x + 9) + 2
= 25x² - 90x + 81
- 40x + 72
<u> + 2</u>
= 25x² - 130x + 155
(fog)(-1) = 25(-1)² - 130(-1) + 155
= 25 + 130 + 155
= 310
<em>It wasn't clear if you wanted multiplication or composition so I solved both.</em>
Gradient =(y1-y2) / (x1-x2)
(-6-8)/(6-8)
:7
y:mx+c
8:7(8)+c
c:-48
y:7x-48
