The scatterplot shown includes the (blue) least-squares regression line, whose equation is y = .975 + .005x, where y is calories (in thousands) and x is years after 1960. Choose the correct statement.
Answer: In the given regression equation, the calories are in thousands. Therefore, the slope 0.005 (0.005 x 1000 =5 calories) means the consumption is increasing at a rate of 5 calories per year.
Hence the option a. Consumption is increasing at a rate of 5 calories per year. is correct
Answer:
b. g(x)=|x+3|-1
Step-by-step explanation:
<u>Given</u>:
The system of linear equations are 
and 
We need to determine the solution to the system of equations using substitution method.
<u>Solution</u>:
The solution can be determined using the substitution method.
Let us substitute 
in the equation
Thus, we have;
Thus, the value of y is -17.
Substituting in the equation , we get;
Thus, the value of x is -13.
Hence, the solution to the system of equations is (-13,-17)
Answer:
(2, -4).
Step-by-step explanation:
x^2 - 4x
= (x - 2)^2 - 4.
So the vertex is at
(2, -4).
We first have to find the factors of 7 and -3 and see which ones add up to -20.
factors of 7 are 1 and 7 factors of -3 are -1 and 3
7 and 1 -3 and 1
therefore, we get (x - 3) (7x + 1)
we can use the FOIL method to verify the answer.
