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20170328231715final Math Test

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User Generated
Subject
Mathematics
Type
Homework
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Factor the expression
4 10 16 25
36 81a b a b
using the two different techniques listed for
Parts 1(a) and 1(b).
(a) Factor the given expression using the GCF monomial.
(b) Factor the given expression using the difference of squares.
Answer:
4 10 16 25
36 81a b a b
= 9a
4
b
10
(4-9a
12
b
15
)
(4-9a
12
b
15
) is not difference of squares, if change b
25
to b
24
, then we have
= 9a
4
b
10
(4-9a
12
b
14
) =9a
4
b
10
(2+3a
6
b
7
) (2-3a
6
b
7
)
Graph the system of linear inequalities on the coordinate plane.
11
2
22
1
6
5
yx
yx
+
+
(a) Shade the solution to the system of inequalities.
(b) Pick a point and show your solution is correct.
Answer:
a. The area is below y = 1/5x +6 and above y = -1/2 x +5/2 and include the
the boundary on y = -1/2 x +5/2

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Factor the expression 36a 4b10  81a16b25 using the two different techniques listed for Parts 1(a) and 1(b). (a) Factor the given expression using the GCF monomial. (b) Factor the given expression using the difference of squares. Answer: 36a 4b10  81a16b25 = 9a4b10(4-9a12b15) (4-9a12b15) is not difference of squares, if change b25 to b24, then we have = 9a4b10(4-9a12b14) =9a4b10(2+3a6b7) (2-3a6b7) Graph the system of linear inequalities on the coordinate plane. y  1x  21 2 2 1 y  x6 5 (a) Shade the solution to the system of inequalities. (b) Pick a point and show your so ...
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