9. Factor e. 64a3-27 b. 6p-11p 10q2 c. 25z2 -4? d. -3x2 +24-45 3-5x2-9z+45 g. 2a
ID: 3137694 • Letter: 9
Question
9. Factor e. 64a3-27 b. 6p-11p 10q2 c. 25z2 -4? d. -3x2 +24-45 3-5x2-9z+45 g. 2a b-8a 62-10a 10. Find all possible values of k such that a2 +k-12 can be factored. 11. Solve. d. 2w(4w + 1)-3 b. p2-7p-10 12. Find the z-intercepts of the graph of the function g(x) 5x 15r2-20z. rectangular rug has an area of 54 square fee. If its length is 3 feet less than twice its width, find the dimensions of the rug. 14. The total electricities generated in the United States by renewable sources other than hydropower are shown in the following table for various years. Electricity Generation by Renewable Sources Other than Hydropower (million megawatt-hours) Year 2003 2005 2007 2009 2011 2012 83 107 144 193 217 e: Energy Information Administration Sourc Let f(t) be the total electricity (in million megawatt-hours) generated in the United States by renewable sources other than hydropower in the year that is t years since 2000. A reasonable model is f(t) t2-9t + 89. Estimate when the total electricity generated by renewable sources other than hydropower was 95 million megawatt-hours.Explanation / Answer
9) a ) x^2 - 4x - 60
( x + 6 ) ( x- 10 )
b) 6p^2 -11pq - 10q^2
6p^2 -15pq + 4pq -10q^2
( 3p + 2q ) ( 2p - 5q )
c) 25x^2 - 4y^2
( 5x - 2y) ( 5x + 2y )
d) -3x^2 + 24x - 45
-3 ( x^2 - 8x + 15 )
-3 ( x -3 ) ( x- 5 )
e) 64a^3 - 27
(4a - 3 ) ( 16a^2 +12a + 9 )
f) x^3 - 5x^2 - 9x + 45
x^2 ( x- 5 ) - 9 ( x - 5 )
(x^2 - 9 ) (x - 5 )
( x- 3 ) (x+3) (x-5)
g) 2a^4b - 8a^3b^2 -10a^2b^3
2a^2b ( a+b) (a-5b)
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