Using linear function concepts, it is found that the slopes and intercepts of the functions are given as follows:
a) -4.
b) P = 25.
c) 2.
d) P = 5.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
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, and can also be interpreted as the initial value of the function.
The demand is given by:
D = 100 - 4P.
Hence the slope is of -4. The demand is equals to zero when:
100 - 4P = 0 -> P = 25.
The supply is given by:
QS = -10 + 2P.
Hence the slope is of 2. The supply is equals to zero when:
-10 + 2P = 0 -> P = 5.
More can be learned about linear function concepts at brainly.com/question/24808124
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Answers:
CB = 14
GF = 8
FB = 9
EF is parallel to CB
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Explanations:
Points E and F are midpoints of their respective sides. They form the midsegment EF. Because EF is a midsegment, A midsegment is half the length of its parallel counterpart, so CB is two times longer than EF. If EF is 7 units long, then CB = 2*EF = 2*7 = 14
For similar reasons, GF is parallel to AC. If AC = 16, then half of that is GF = (1/2)*AC = 0.5*16 = 8.
FB = FA = 9 as these segments have the same single tickmark to indicate they are the same length
EF is parallel to CB because EF is a midsegment, and this is one of the properties of being a midsegment. We can show that quadrilateral EGBF is a parallelogram to help prove this.
Yea thats the coordinate plane good job
Plugging it into the calculator you get= .1402217
Not sure if decimal version is fine.?
