Part (a)
<h3>Answer: x = -8</h3>
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Work Shown:
2(x-1) = 3(x+2)
2x-2 = 3x+6 .... distribute
2x = 3x+6+2 .... adding 2 to both sides
2x = 3x+8
2x-3x = 8 .... subtracting 3x from both sides
-x = 8
x = -8 ..... multiply both sides by -1
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Part (b)
<h3>Answer: x = 5/11</h3>
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Work Shown:
-4(2x-2) = 3(x+1)
-8x+8 = 3x+3 ..... distribute
-8x = 3x+3-8 .... subtract 8 from both sides
-8x = 3x-5
-8x-3x = -5 ... subtract 3x from both sides
-11x = -5
x = -5/(-11) .... divide both sides by -11
x = 5/11
In decimal form, this is approximately equal to 5/11 = 0.4545
Replace x in the equation of f(x) and solve:
f(0) = sqrt(0) = 0
F(49/9) = sqrt(49/9) = 7/3
x*(1.035) + (4,200-x)*(1.045) = 4,374.00
1.035x + 4,389.00 -1.045x = 4,374.00
15.00 = .01x
x = 1,500 so x (1,500) invested at 3.5% and
(4,200 - 1,500) (or 2,700) invested at 4.5%
