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Murrr4er [49]
2 years ago
15

What is the slope for this table? Give an explanation.

Mathematics
2 answers:
DIA [1.3K]2 years ago
6 0

Answer:

the shape of the graph is a vertical straight line. So the angle is 90°

So tan 90° = infinite

andrezito [222]2 years ago
3 0

Answer:  The slope is undefined.

Step-by-step explanation:

The slope is undefined because it is based on the Rise (y) over the Run (x) of the data points.  X is not changing even as y goes from -2 to 8.  If we took the first and last points, (-1,-2) and (-1,8) and go from left to right, y increases by (8-(-2)) = 10 while x is unchanged, or o.  Rise/Run therefore becomes 10/0.  Division by 0 is undefined in math, so the slope is undefined.

This is a straight vertical line going through x = -1.  All y's are on this line.  Undefined slope.

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following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

\lim_{x\to 2}+f(x) = \lim_{x\to 2}+ (ax^2-bx+3) = 4a-2b+3\\\\ \to  4a-2b+3 = 4\\\\  \therefore \ \ 4a-2b = 1\\\\

The one-sided limits of F(x) at x = 3 must be equivalent for f(x) to be continuous at x = 3.

\to \lim_{x\to 3}- f(x) = \lim_{x\to 3}- (ax^2-bx+3) = 9a-3b+3\\\\ \to \lim_{x\to 3}+ f(x) = \lim_{x\to 3}+ (2x-a+b) = 6-a+b\\\\  

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\to 9a-3b+3 = 6-a+b\\\\\therefore\\ \to 10a -4b = 3

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In equation a multiply the by -2 and then add in the equation b:

\to -8a + 4b = -2\\\to 10a - 4b = 3\\ \to 2a = 1\\\\ \to   a = \frac{1}{2}\\\\ \to \ 4(\frac{1}{2}) - 2b = 1\\\\ \to 2 - 2b = 1\\\\ \to   -2b = -1\\\\ \to b = \frac{1}{2}  

So, the value of a \ and \ b= \frac{1}{2}

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