Answer:
= 
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that

= 
= 
= 
= 
To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))
Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8
Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
</span>
Answer:
a= 13.15 years
b= -0.62 years/$
Step-by-step explanation:
Hello!
Given the variables
Y: Age of a used car. (years)
X: Price of a sold used car. ($000)
The linear regression model is:
E(Y)= α + βXi
The estimated equation is:
^Y= a + bXi

a= 13.15 years

b= -0.62 years/$
Then ^Y= 13.15 - 0.62Xi
Mean Y= 8.92
Mean X= 6.91
∑Y= 107
∑Y²=1009
∑X=82.90
∑X²=615.29
∑XY=712.9
Hope it helps!
Answer:
k = 4
Step-by-step explanation:
k is the difference of y-intercepts (where the lines intersect with the y-axis). So, subtract the y-intercept of f(x) from the y-intercept of g(x).
2 - (-2) = 4
Hope that helps! :D