Find the pair of numbers whose product and sum are given.Product: -32 Sum: -4
A. 32 and -1
B. -32 and 1
C. 8 and -4
D. -8 and 4
Answer: D
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Multiply. Assume that all variables represent non-negative real numbers.
(
+ 
)
A. 
B. 5
+ 5
C. 10
D. 
+ 
State the domain of the rational function.f(x) = 
A. (-?, ?) B. (-?, - 1) ? (- 1, 1) ? (1, ?) C. (-?, -1) ? (-1, 9) ? (9, ?) D. (-?, -9) ? (-9, 1) ? (1, ?)
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log5 
A. 3log55 - 
log5(x - 1)
B. log5125 - log5
C. 3 - 
log5(x - 1)
D. 3 - log5
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.x2 + 2xy + y2 - 8x + 8y = 0
A. ? = 36.9°
+ 
= 1
ellipse
center (0, 0)
major axis is x'-axis
vertices at (±2, 0)
B. ? = 36.9°
+ 
= 1
ellipse
center (0, 0)
major axis is x'-axis
vertices at (±2, 0)
C. ? = 45°
x'2 = -4
y'
parabola
vertex at (0, 0)
focus at (0, -
)
D. ? = 45°
y'2 = -4
x'
parabola
vertex at (0, 0)
focus at (-
, 0)