Find the measure of the indicated angle
1 answer:
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Answer:
Step-by-step explanation:
The multiplicity of a root of a polynomial equation is the number of times it appears in the solution.
Multiplicity is important because it can tell us two things about the polynomial that we work on and how it is graphed. first: it tells us the number repeating factor a polynomial has to determine the number of the real (positive or negative) roots and complex roots of the polynomial.
About graph behaves at the roots : Behavior of a polynomial function near a multiple root
The root −4 is a 'simple' root (of multiplicity 1), and therefore the graph crosses the x-axis at this root. The root 1 is of even multiplicity and therefore the graph bounces off the x-axis at this root.
Answer:
The linear equation relating price to demand is Q=-0.5*P + 30
Step-by-step explanation:
The demand for a good is the quantity of that good that the demanders are willing to purchase at a given price.
Then, the Demand Curve relates the quantity that a consumer would be willing to buy as a function of price.
You seek to determine the linear equation that relates the price to the demand Q = m * P + b where Q is the quantity demanded at a price P, and compared with the equation of the straight line y = mx + b, m is the slope and b is the ordinate to the origin.
On a line of the form y = m * x + b, the value of m, having two points, is calculated by:
And the ordinate to the origin b is calculated, taking the value of m, replacing any of the two points (replacing any of the two because it must give the same value of b) in the expression y = m * x + b and solving its value.
In the case of Q=m*P+b, the value of m, having two points, is calculated by:
Being:
- Q1= 5
- P1= $50
- Q2= 10
- P2= $40
and replacing:
you get:
m= -0.5
So, being Q=-0.5*P+b, b is calculated by:
- Replacing the point Q1= 5 and P1= 50
5= -0.5*50 + b → 5= -25 + b → 5+25= b → b= 30
- Replacing the point Q1= 10 and P1= 40
10= -0.5*40 + b → 10= -20 + b → 10+20= b → b= 30
Then, <u><em>the linear equation relating price to demand is Q=-0.5*P + 30</em></u>