A. because is $6 for every month as said in 6x, then an additional 12 for signing up, making 6x + 12 and she wants it to be under $60 so you use the less than sign making 6x+12 <60

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3 years ago

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The graphs below are both absolute value functions. The equation of the redgraph is f(x) = |xl. Which of these is the equation o

grigory [225]

ANSWER

$\Rightarrow y=\frac{1}{2}|x|$

EXPLANATION

We want to find the absolute value function for the line in blue.

The general form of an absolute value function is:

$y=a|x-h|+k$

where (h, k) = vertex

From the line, the vertex of the graph in blue is:

$(0,0)$

To find a, we have to pick a point (x, y) on the line and input it into the general function.

Let us pick (2, 1).

Therefore, we have:

$\begin{gathered} 1=a|2-0|+0 \\ 1=a|2|=2a \\ \Rightarrow a=\frac{1}{2} \end{gathered}$

Therefore, the absolute value function is:

$\begin{gathered} y=\frac{1}{2}|x-0|+0 \\ \Rightarrow y=\frac{1}{2}|x| \end{gathered}$

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1 year ago