√15y*3√81y
√15y*√729y
√10935y^2
√729*15*y2
27y√15
Answer:
y=85°
p=100°
Step-by-step explanation:
Corresponding Angles Theorem
Alternate Exterior Angles Theorem
Answer:
<em>The initial population size is 500 fish</em>
<em>Population size after 9 years: 1910 fish</em>
Step-by-step explanation:
<u>Mathematical Model</u>
We usually represent real situations as mathematical functions or rules that express the dependency of one variable quantity P with another variable quantity t.
The population size of a species of fish P(x) is modeled by the following function:

Where t is the number of years elapsed since the species was added to the lake.
The initial population size can be found by substituting t for 0:



P(0)=500
The initial population size is 500 fish
The population size after t=9 years is:




Population size after 9 years: 1910 fish
Answer:
61
Step-by-step explanation:
This composite function can be easily solved
First solve f(-2)
f(-2)=(-2)³+3
f(-2)=-8+3=-5
Now plug -5 for x in function g(x)
=2(5)²+2(5)+1
=50+10+1
=61
Answer: 3x^3 -8*x^2 + 8*x + 3
Step-by-step explanation:
The standard form for a plolynomial is:
a*x^n + b*x^(n-1) + c*x^(n - 2) ........
We have:
(x-1)(3x^2-5x-3)
this is equal to:
3*x^3 - 5*x^2 + 3*x - 3*x^2 +5*x + 3
where the thing that i did is distribute the multiplication
this is equal to:
3x^3 -8*x^2 + 8*x + 3