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Nady [450]
3 years ago
7

Image attached! Someone please help me with question 7! This assignment is pass due and I need it done!!! I will give thanks!!!

❤️

Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0
A) chart below!
0 = -210
5 = -155
10 = -100
15 = -45
20 = 10
25 = 65

b) The negative value of p means that she is losing money rather than gaining a profit.

c) Her profit would be $340
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Alright, lets get started.

Suppose the original square window has the side = x feet

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If a+b+c=2 , ab+bc+ac= -1 and abc = -2 , then find the value of a^3 + b^3 + c^3
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<u>Step-by-step explanation:</u>

EQ1:   a + b + c = 2            -->       b + c = 2 - a

EQ2:  ab + bc + ac = -1     -->        b + c = (-1 - bc)/a

EQ3:  abc = -2                  -->           bc = -2/a

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2-a=\dfrac{-1-bc}{a}\\\\\\\text{Clear the denominator:}\\a(2-a)=-1-bc\\\\\text{Substitute bc:}\\a(2-a)=-1-\dfrac{-2}{a}\\\\\\\text{Clear the denominator:}\\a^2(2-a)=-a+2\\\\\\\text{Simplify and set equal to 0:}\\2a^2-a^3=-a+2\\0=a^3-2a^2-a+2\\\\\text{Factor:}\\0=a^2(a-2)-1(a-2)\\0=(a^2-1)(a-2)\\\\\text{Solve for a:}\\a^2-1=0\qquad a-2=0\\a=\pm1}\qquad \qquad  a=2

Consider the solution a = 2 and plug it into EQ1 to solve for "b"

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Plug in a = 2, b = -c, and c = c into a³ + b³ + c³

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= 8 - c³ + c³

= 8

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