B........................
As you see in the picture, there are two lines that could maybe represent two linear functions. However, this is not true because of the solid point and the hollow point. This is an inequality equation that has points of discontinuity.
Points of discontinuity are breaks in the graph that are a result of an undefined point when the f(x) is substituted with a point of x that is not part of the solution. So, technically, the graph is made from one rational expression.
So, when it says f(-2), this is the y-value at x=-2. That means f(-2)=2, f(0)=3 and f(4)=-1. Specifically, there are two points at x=0, but we take the solid point only.
Answer:
<em>The voltage at the middle source is</em> ![(2-4\mathbf{i})\ V](https://tex.z-dn.net/?f=%282-4%5Cmathbf%7Bi%7D%29%5C%20V)
Step-by-step explanation:
<u>Voltage Sources in Series</u>
When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.
The figure shown has three voltage sources of values:
![2 + 6\mathbf{i}](https://tex.z-dn.net/?f=2%20%2B%206%5Cmathbf%7Bi%7D)
![a + b\mathbf{i}](https://tex.z-dn.net/?f=a%20%2B%20b%5Cmathbf%7Bi%7D)
![2 - 5\mathbf{i}](https://tex.z-dn.net/?f=2%20-%205%5Cmathbf%7Bi%7D)
The sum of these voltages is:
![V_t=4+a+(6+b-5)\mathbf{i}](https://tex.z-dn.net/?f=V_t%3D4%2Ba%2B%286%2Bb-5%29%5Cmathbf%7Bi%7D)
Operating:
![V_t=4+a+(1+b)\mathbf{i}](https://tex.z-dn.net/?f=V_t%3D4%2Ba%2B%281%2Bb%29%5Cmathbf%7Bi%7D)
We know the total voltage is
, thus:
![4+a+(1+b)\mathbf{i}=6-3\mathbf{i}](https://tex.z-dn.net/?f=4%2Ba%2B%281%2Bb%29%5Cmathbf%7Bi%7D%3D6-3%5Cmathbf%7Bi%7D)
Equating the real parts and the imaginary parts independently:
4+a=6
1+b=-3
Solving each equation:
a = 2
b = -4
The voltage at the middle source is ![(2-4\mathbf{i})\ V](https://tex.z-dn.net/?f=%282-4%5Cmathbf%7Bi%7D%29%5C%20V)
Step-by-step explanation:
umm the 2nd one?
Is this multiple choice?
Answer: $20
Sandy had 138 dollars to spend on 6 books. After buying them she had 18 dollars. How much did each book cost? 20 dollars.