Let x = number of years between 1990 and 2000.
Rainbow smelt:
Initial population = 227
Average yearly rate of change = -19.76
The linear function that models the population is
y₁ = 227 - 19.76x
Bloater fish
Initial population = 1052
Average yearly rate of change = -92.57
The linear function that models the population is
y₂ = 1052 - 92.57x
When the two populations are equal, then y₁ = y₂.
That is
227 - 19.76x = 1052 - 92.57x
(92.57 - 19.76)x = 1052 - 227
72.81x = 825
x = 11.33 years
= 11 years, 0.33*12 months
= 11 years, 4 months
Add x to 1990 to obtain the year April 2011.
Answer:
x = 11.33 years.
This occurs in April 2001.
Answer:<-26, 26>
Step-by-step explanation: <4(-5), 4(2)> and
<3(-2), 3(6)>
<-20, 8> and <-6, 18>
Now add <(-20+(-6)), (8+18)>
<-26, 26>
Answer:
6
Step-by-step explanation:
Using the sine ratio in the right triangle
let x = hypotenuse and sin45° = 
, then
sin45° = 
= 
and
= ( cross- multiply )
× x = 6
Divide both sides by
x = 6
