Find an equation in slope-intercept form (where possible) for the line.Through (2, -7), parallel to 4x + 7y = -27

A. y = x +  
B. y = - x -  
C. y = - x -  
D. y = - x - 


Answer: C

Mathematics

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Use the properties of logarithms to evaluate the expression.ln e8

A. e8 B. 8 ln e C. 1 D. 8

Mathematics

Find the difference quotient of g.g(x) = -3x3

A. -9x2 B. -3x2 - 3xh - 3h2 C. -9x2 - 9xh - 3h2 D. -9x2 - xh - h2

Mathematics

The population aged 65 years old and older (in millions) from 2000 to 2050 is projected to be

?
 
?
where  is measured in decades, with  corresponding to 2000. What will be the average population aged 65 years and older over the years from 2000 to 2040?
(Hint: The average population is given by . Multiply the integrand by  and then use the method of substitution.) Please round your answer to one decimal place.
?
__________ million

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the problem.Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 30 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?

A. width =  ? 5.4, length = 8.1
B. width =  ? 8.4, length = 10.8
C. width =  ? 8.4, length = 4.2
D. width =  ? 4.2, length = 8.4

Mathematics