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ivann1987 [24]
3 years ago
15

Two functions are defined as shown. f(x) =-1/2 x – 2 g(x) = –1 Which graph shows the input value for which f(x) = g(x)?

Mathematics
2 answers:
Alchen [17]3 years ago
5 0

Answer:

The second graph

Step-by-step explanation:

Just did it!!

Natalka [10]3 years ago
4 0

Answer:

See attachment.

Step-by-step explanation:

The given functions are:

f(x) =  -  \frac{1}{2}x - 2

and g(x)=-1

To find the x-value of the point of intersection of the two functions, we equate the two functions and solve for x.

-  \frac{1}{2}x - 2 = -1

x + 4 = 2

x = 2 - 4 =  - 2

The graph that shows the input value for which f(x)=g(x) is the graph which shows the point of intersection of f(x) and g(x) to be at x=-2.

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\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
\\
&&  y={{k }}x
\end{array}\\\\
-------------------------------\\\\

\bf \textit{we know that }\qquad 
\begin{cases}
y=42\\
x=6
\end{cases}\implies 42=k6\implies \cfrac{42}{6}=k
\\\\\\
7=k\impliedby \textit{constant of variation}
\\\\\\
thus\qquad \qquad y=7x
\\\\\\
\textit{what is "y" when x=5?}\qquad y=7(5)\impliedby \textit{solve for "y"}
\\\\\\
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