Factor the algebraic expression.
2 answers:
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Using linear function concepts, the slope of -1 means that when one of the length/width is increased by 1, the other is decreased by 1.
<h3>What is a linear function?</h3>A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- The lengths and the widths are interchangeable, that is, either can be considered as the input or as the output.
- The slope of -1 means that when the input in increased by 1, the output is decreased by -1, that is, when one of the length/width is increased by 1, the other is decreased by 1.
You can learn more about linear function concepts at brainly.com/question/24808124
Check out the attached image below. Use polynomial long division (see figure 1) or synthetic division (figure 2) to find that the quotient is x-8
This tells us the slant asymptote is y = x-8
The presence of the slant asymptote means we do not have a horizontal asymptote. As x gets larger and larger, and heads to infinity, then y approaches the line y = x-8; rather than y approaching some single fixed value.
The vertical asymptote is x = -4 because this x value makes the denominator x+4 equal to 0. We cannot divide by zero.
Figure 3 shows the graph, which I have done using GeoGebra (a free graphing tool). This is also attached below.
