Using the graph of the hyperbola, determine the coordinates of the vertices and foci, and the equations of the asymptotes.
A. Vertices (0, ±2), foci (±
, 0), asymptotes y = x and y = -x
B. Vertices (±5, 0), foci (±
, 0), asymptotes y = 
x and y = - 
x
C. Vertices (±5, 0), foci (0, ±2), asymptotes y = x and y = -x
D. Vertices (±5, 0), foci (±
, 0), asymptotes y = 
x and y = - 
x
Answer: D
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Write the number in expanded form.70,500
A. 7,500,000 B. 70,000 + 5000 C. 70,000 + 500 D. 7000 + 500
Solve the absolute value inequality. Write the solution set using interval notation.
? 5
A. 
? 
B. 
C. 
? [5, ?)
D. 
Find all rational zeros of f. Then (if necessary) use the depressed equation to find all roots of the equation f(x) = 0.f(x) = x4 - 6x3 - 3x2 + 54x - 54
A. {0, -3, 3 + 
, 3 - 
}
B. {3, -3, -3 + 
, -3 - 
}
C. {0, 3, 3 + 
, 3 - 
}
D. {3, -3, 3 + 
, 3 - 
}
Provide an appropriate response.Which of the following are not allowable transformations when the Gaussian elimination method is used to solve a system of linear equations?(i)A multiple of elements of one row may be added to the corresponding elements of any other row.(ii)Any two columns may be interchanged.(iii)The elements of any row may be multiplied by the corresponding elements of another row.(iv)All of the elements of any row may be multiplied by any nonzero number.
A. (ii), (iii), (iv) B. (ii) C. (ii), (iii) D. (i), (iv)