Does the product of two real numbers with the same sign result in a positive? I think it does but not completely sure.
2 answers:
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Simplifying h(x) gives
h(x) = (x² - 3x - 4) / (x + 2)
h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)
h(x) = ((x + 2)² - 7x - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)
h(x) = (x + 2) - 7 - 22/(x + 2)
h(x) = x - 5 - 22/(x + 2)
An oblique asymptote of h(x) is a linear function p(x) = ax + b such that
In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.
The linear equation that represents the <u>number of tiles in figure x</u> is given by:
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A linear equation has the format:
In which:
- m is the slope, that is, the rate of change.
- b is the y-intercept, that is, the value of y when x = 0.
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- Figure 0 has 5 tiles, that is, when
, thus
- Seven new tiles in each figure, that is, a rate of change of 7, thus
The number of tiles in figure x is given by:
A similar problem is given at brainly.com/question/16302622