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:
A. h(x)= -5.86x^2 + 23.37x + 34
Step-by-step explanation:
If the scientist uses the same amount of pesticide on the two farms then the x's of the functions are the same.
Then, the combined yield 
of the two farms is just the yield of the first farm plus the yield of the second farm:
.
Now, since
and
,
then
we add the coefficients of the corresponding terms to get:
Which is choice A.
8 quarts + 4 pints + 8 cups will make 3 gallons
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!
Answer:
A for the first and C for the second
Step-by-step explanation:
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