Provide an appropriate response.Given the equation 3x - 6y = 12, determine (a) the x-intercept
(b) the y- intercept
A. (a) (-4, 0)
(b) (0, -2)
B. (a) (0, 0)
(b) (0, -2)
C. (a) (-2, 0)
(b) (0, 4)
D. (a) (4, 0)
(b) (0, -2)
Answer: D
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Find the center of mass of a thin plate covering the given region with the given density function.The triangular region cut from the first quadrant by the line y = -x + 3, with density ?(x) = x
A. 
= 
, 
= 
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
, 
= 
Factor completely.k2(k - 3) - 5(k - 3)
A. (k - 5)(k2 - 3) B. (k - 3)(k2 + 5) C. -5k2(k - 3) D. (k - 3)(k2 - 5)
Draw the angle in standard position and state the quadrant in which the terminal side of the angle lies or the axis on which the terminal side of the angle lies.330°
A. Quadrant IV
B. Quadrant III
C. Quadrant III
D. Quadrant I
Multiply the polynomials using the FOIL method. Express the answer as a single polynomial in standard form.(3x + 6)(x + 10)
A. 3x2 + 36x + 36 B. 3x2 + 34x + 60 C. 3x2 + 36x + 60 D. 3x2 + 60x + 36