Step-by-step explanation:
Part C: Of the following choices, which equation is the best fit line for the data
As we can see from the data, the population size are decreased year by year, so the slope of the line of best fit must be a negative number.
So we have: C and D left.
Let x = 0, year 2005, the population size is 296 around 320, hence, we choose D.
D f(x) = -34x + 320
Part D: What is the predicted population size for the year 2010? How does that compare to the real data? Round to the nearest million.
year 2010, x =5 so let substitute x =5 into f(x) = -34x + 320
<=> f(x) = -34*5 + 320
= 150 mil
The result is smaller than the real data, (201-150 = 51 mil)
Part E: In what year is the population predicted to go extinct
the population predicted to go extinct when f(x)= 0
<=> -34x + 320 = 0
<=> x ≈ 9.4
So after 10 years, the the population predicted to go extinct
Answer:
a^3b+a^2b+b^3
Step-by-step explanation:
A fourth degree polynomial has the highest power of degree 4 when you sum the powers in each term
) a^6+a^5b+a^4b^2+a^3b^3 degree 6
2) a^3b+a^2b+b^3 3+1 = 3 degree 4
3) a^4+a^2b^3 2+3 = degree 5
4) 4a^3 degree 3
To find the Z score for a number to the right,
subtract the value from 1:
1-0.27 = 0.73
Now use a z-score table and look up 0.73.
0.73 is located at Z = 0.615
Hello,
Let me try out the solution for you.
Consider the below scenarios for the equation y = |x+5|-|x-5|
Case 1:
when x more than or equal to 5
then y=(x+5)-(x-5) = 10
hence y=10
Case 2:
when -5<x<5
y=(x+5)-(-(x-5)) = 2x
y=2x so y can take 9 values corresponding to x={-4,-3,-2,-1,0,1,2,3,4}
Case 3:
when x less than or equal to -5
y= -(x+5)-(-(x-5))
y=-10
Hence if we combine all 3 cases we get that y can take total of 11 values.
