Find the standard-form equation for a hyperbola which satisfies the given conditions.A hyperbola centered at the origin having focus (0, - 2
) and corresponding directrix 
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Answer: D
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Use the factor theorem to determine if x - c is a factor of f(x). If so, use synthetic division to write f(x) in the form 
f(x) = x2 + 8x - 48; x - 4
A. (x - 4)(x + 12) B. (x - 4)(x - 4) C. (x - 4) is not a factor D. (x - 4)(x - 12)
Solve the problem.For approximately what values of x can tan-1 x be replaced by 
with an error of magnitude no greater than 
?
A. |x| < 0.26547 B. |x| < 0.25873 C. |x| < 0.31386 D. |x| < 0.32085
Use the vertical line test to determine whether the graph represents a function.
A. not a function B. function
Solve. Assume the exercise describes a linear relationship.A vendor has learned that, by pricing hot dogs at $1.25, sales will reach 131 hot dogs per day. Raising the price to $2.00 will cause the sales to fall to 101 hot dogs per day. Let y be the number of hot dogs the vendor sells at x dollars each. Write a linear equation that models the number of hot dogs sold per day when the price is x dollars each.
A. y = 40x + 81
B. y = -40x - 181
C. y = -40x + 181
D. y = - 
x + 