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Crank
3 years ago
5

Heeelp . Can someone please answer this to meee ? .

Mathematics
1 answer:
lilavasa [31]3 years ago
7 0

Answer:

If f(x)=g(x), the solution is x=-2

Step-by-step explanation:

We are given:

f(x)=3x+3\\g(x)= (-1/2)x-4

We need to find the solution if f(x)=g(x)

Now solving for f(x)=g(x)

f(x)=g(x)\\3x+3=(-\frac{1}{2}x)-4\\3x+3=-\frac{1}{2}x-4\\3x+\frac{1}{2}x=-4-3\\\frac{3x*2+x}{2}=-7\\\frac{6x+x}{2}=-7\\\frac{7x}{2}=-7\\x=-7*\frac{2}{7}\\x=-2

If f(x)=g(x), the solution is x=-2

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\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
\cfrac{2x}{x^2+2x-24}-\cfrac{x}{x^2-36}\quad 
\begin{cases}
x^2+2x-24\implies (x+6)(x-4)\\
--------------\\
x^2-36\implies x^2-6^2\\
(x-6)(x+6)
\end{cases}

\bf \cfrac{2x}{(x+6)(x-4)}-\cfrac{x}{(x-6)(x+6)}\impliedby 
\begin{array}{llll}
\textit{thus our LCD is}\\
(x-6)(x+6)(x-4)
\end{array}
\\\\\\
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