If a line on a distance versus time graph goes back down towards the x-axis, what does that mean
1 answer:
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Answer:
D 34
Step-by-step explanation:
i hope you understand
Answers:
1)
2)
Step-by-step explanation:
In mathematics there are rules related to complex numbers, specifically in the case of addition and multiplication:
<u>Addition: </u>
If we have two complex numbers written in their binomial form, the sum of both will be a complex number whose real part is the sum of the real parts and whose imaginary part is the sum of the imaginary parts (similarly as the sum of two binomials).
For example, the addition of these two binomials is:
Similarly, the addition of two complex numbers is:
Here the complex part is the number with the
<u>Multiplication: </u>
If we have two complex numbers written in their binomial form, the multiplication of both will be the same as the multiplication (product) of two binomials, taking into account that .
For example, the multiplication of these two binomials is:
Similarly, the multiplication of two complex numbers is:
Answer:
see attached for a graph
Step-by-step explanation:
It looks like you want to plot a graph of the function. For a piecewise function like this one, the effort is divided into pieces. The "or equal to" part of the comparison symbol tells you the end value is included in that interval.
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For the piece between x=-8 and x=-6, you can find the y-values by evaluating the function for those x-values.
For x = -8: y = -1/2(-8) = 4.
For x = -6: y = -1/2(-6) = 3.
So, the left piece can be plotted by drawing a line segment between points (-8, 4) and (-6, 3).
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For the piece between x=-6 and x=1, you can do the same thing:
For x=-6: y = -(-6) -3) = 6-3 = 3
For x=1: y = -(1) -3 = -4
So, the right piece can be plotted by drawing a line segment between points (-6, 3) and (1, -4). We notice that (-6, 3) is already the end point of the first piece, so the function is continuous at x=-6. (Sometimes there is a discontinuity between pieces. Not here.)
You can also plot the right piece by recognizing it is a line with a y-intercept of -3 and a slope of -1. That is, point (0, -3) will be on that line, and it will have a "rise" of -1 for each "run" of 1 (to the right).
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A graph is shown. We have made the pieces different colors, so you can see what they are. And we have plotted a filled dot at (-6, 3) to indicate that point is part of the function definition. (The dot is unnecessary.)
