Answer:
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Answer:
C) x = ½
Step-by-step explanation:
Using the <em>Distributive Property</em> and combining like-terms will give you this:
-12 + 10x = 2x - 8
- 10x -10x
--------------------
-12 = -8x - 8
+ 8 +8
-------------
-4 = -8x [Divide by -8]
½ = x
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Question 1)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
F(G(x)) = 3(2x - 3)^2 + 1
F(G(x)) =3(4x^2 - 12x + 9) + 1
F(G(x)) = 12x^2 - 36x + 27 + 1
F(G(x)) =12x^2 - 36x + 28
Question 2)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
H -1 (x) = x (inverse)
5/12(poetry) + 2/5(biographies) = 25/60 + 24/60 = 49/60
60/60 - 49/60= 11/60
11/60 are the remainder of the books in the shipment.