For basic exponential functions the domain is "all real numbers." The graph is above the x-axis and never touches it, so the range is (0, infinity).
For f(x) = (1/6)^x + 2, the domain is the same as before, but the range changes. There will be no graph touching the line y = 2 or showing up below that line. Range is (2, infinity).
Answer:
$600
Step-by-step explanation:
For 8 hours she makes $120
For 1 hour she makes $120÷8 = $15
For 40 hours she makes $15 × 40 = $600
Our final answer is $600
Hope this helped and have a good day
Where is the picture of the shape?
Answer:
c. y? =+4.198 x
Step-by-step explanation:
Hello!
Using the given data you need to estimate the equation of linear regression.
Dependent variable:
Y: Annual percentage change in stock price for a company.
Independent variable:
X: Annual percentage change in profits for the company.
The population regression line equation is:
To estimate the equation you need to find the point estimator for α and β.
The following formulas are the ones to use:
α ⇒ a= y[bar] - bX[bar]
β ⇒ b= (∑xy - [(∑x)(∑y)]/n)/(∑X²-(∑x)²/n)
As you can see you need to make several summatories before calculating the values of a and b:
n= 7
∑x= 36.30
∑x²= 667.09
∑y= 51.60
∑y²= 747.98
∑xy= 560.74
Sample mean of de dependent variable Y[bar]= ∑y/n= (51.60/7)= 7.37
Sample mean of the independent variable X[bar]= ∑x/n= (36.30/7)= 5.19
b=
b= 0.6122
a=
a= 4.196
The estimated regression equation is:
Y= 4.196 + 0.6122x
I hope it helps!