Find the foci of the ellipse whose equation is given.36(x + 3)2 + 16(y - 2)2 = 576
A. foci at (-2, 2 - 2
) and (-2, 2 + 2
)
B. foci at (2, -3 - 2
) and (2, -3 + 2
)
C. foci at (-3, 2 - 2
) and (-3, 2 + 2
)
D. foci at (3, 2 - 2
) and (3, 2 + 2
)
Answer: C
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Suppose C(x) measures an economy's personal consumption expenditure and x the personal income, both in billions of dollars. Then, 
measures the economy's savings corresponding to an income of x billion dollars. Then 
.
?
The quantity 
is called the marginal propensity to save.
?
For the consumption function 
, where C(x) and x are measured in billions of dollars, find the marginal propensity to save when 
.
?
Round the answer to three decimal places, if necessary.
?
$__________ billion/billion dollars
Fill in the blank(s) with the appropriate word(s).
List all the elements of B that belong to the given set.B = {3, 
, -17, 0, 
, 0.47}Rational numbers
A. 
B. {
}
C. {3, 0}
D. 
Use the vertex and intercepts to sketch the graph of the equation. Give the equation for the parabola's axis of symmetry.x = (y + 6)2 - 4
A. Axis of symmetry is x = 6.
B. Axis of symmetry is y = -6.
C. Axis of symmetry is y = 6.
D. Axis of symmetry is x = -6.
Solve the problem.In flying the 81 miles from Champaign to Peoria, a student pilot sets a heading that is 9° off course and maintains an average speed of 96 miles per hour. After 15 minutes, the instructor notices the course error and tells the student to correct his heading. Through what angle will the plane move to correct the heading and how many miles away is Peoria when the plane turns?
A. 167.3°; 57.42 mi B. 167.3°; 72.23 mi C. 12.7°; 72.23 mi D. 12.7°; 57.42 mi