1 year ago

These tables represent a quadratic function with a vertex at (0, -1). What is

Mathematics

1 answer:

Bond [772]1 year ago

5 0

Answer:

Step-by-step explanation:

We can notice that based on the given pattern, the average rate of change from $x=n$ to $x=n+1$ , where $n \in \mathbb{Z}$ , is $-2n-1$ .

So, the average rate of change from $x=8$ to $x=9$ is $-2(8)-1=-17$ .

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<h2>In the attachment</h2>

Step-by-step explanation:

$y-2x>-8\qquad\text{add}\ 2x\ \text{to both sides}\\\\y>2x-8\\-------------------------\\\\-\ dotted\ line\\\leq,\ \geq-\ solid\ line\\,\ \geq-\ shading\ above\ the\ line\\-------------------------\\\\y=2x-8-\text{It's a linear function.}\\\text{We only need two points to draw a graph.}\\\text{Choice two arbitrary values of x, substitute to the equation,}\\\text{and calculate the values of y}.\\\\for\ x=4\to y=2(4)-8=8-8=0\to A(4,\ 0)\\for\ x=0\to y=2(0)-8=0-8=-8\to B(0,\ -8)$