Factor completely.27x2y - 12y
A. 3y(3x + 2)(3x - 2)
B. 3y(3x + 2)2
C. 3y(3x - 2)2
D. prime
Answer: A
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Determine whether the relation is a function. Give domain and range of the relation.{(-1, -3), (-2, -2), (-2, 0), (2, 2), (14, 4)}
A. function; domain: {-1, 2, -2, 14}, range: {-3, -2, 0, 2, 4} B. function; domain: {-3, -2, 0, 2, 4}, range: {-1, 2, -2, 14} C. not a function; domain: {-1, 2, -2, 14}, range: {-3, -2, 0, 2, 4} D. not a function; domain: {-3, -2, 0, 2, 4}, range: {-1, 2, -2, 14}
Find the standard-form equation for an ellipse which satisfies the given conditions.An ellipse centered at the origin having vertex at (0, -3) and eccentricity equal to 
A. 
+ 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
+ 
= 1
Provide an appropriate response.Because x2 + 10x + 24 = (x + 4)(x + 6), z4 + 10z2 + 24 = 
.
A. (z2 - 4)(z2 - 6) B. (z2 + 4)(z2 + 6) C. (z + 4)(z + 6) D. (z - 4)(z - 6)
Find the mistake, then find the correct answer.Solve for x: x2 = 54line 1 
= 
line 2 x = ±6
What will be an ideal response?