Determine whether the data represent direct variation, inverse variation, or neither.
A. Direct
B. Inverse
C. Neither
Answer: B
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The number S of species of birds on an island is given approximately by
,
where A is the area, in square kilometers, of the island that is usable for birds.A: If a conservation program is able to increase the usable area by 25%, how is the number of species affected? Express your answer in terms of a percent.B: If a natural disaster reduces the usable area of the island by 23%, how is the number of species affected? Express your answer in terms of a percent.C: If the number of bird species is 54, and the usable area is 218 square kilometers, find the value of c.
?
Round your answers to two decimal places if necessary.
?
What will be an ideal response?
Factor completely.18x2 - 78x - 60
A. (3x + 2)(6x - 30) B. 6(3x - 2)(x + 5) C. 6(3x + 2)(x - 5) D. (18x + 12)(x - 5)
Perform the desired operation. Write the answer in the form a + bi.(-4 + 8i)(4 + i)
A. -24 + 28i B. -24 - 36i C. -8 + 28i D. -8 - 36i
Find the center, foci, and vertices of the ellipse.
+ 
= 1
A. center at (0, 0)
foci at (- 4
, 0) and (4
, 0)
vertices at (-8, 0), (8, 0)
B. center at (0, 0)
foci at (0, - 4
) and (0, 4
)
vertices at (0, -8), (0, 8)
C. center at (0, 0)
foci at (0, -8) and (0, 8)
vertices at (0, -64), (0, 64)
D. center at (0, 0)
foci at (0, 8) and (4, 0)
vertices at (0, 64), (16, 0)