Which function represents the price of any computer after a 10% discount? Let x be the original price and P(x) be the discounted
1 answer:
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Answer:
See attached
Step-by-step explanation:
In the questions, find the equation of the dash line then apply the appropriate inequality sign.
In the first one, take points (-3,2) and (0,1) find the gradient and slope of the line.
slope of line, m=Δy/Δx
Δy=1-2=-1
Δx= 0--3=3
m= -1/3
Finding the equation of the line;
y-1/x-0 = -1/3
3y-3 =-x
3y=-x+3
y=-1/3 x+1
The inequality can be ;
y> -1/3 x +1 or y<-1/3 x +1 depending on the shaded region as attached
In 2.
You have two graphs that provide the solution of the inequality.
In the graph represented by line 1, where you have points (-3,-4) and (-5,-5)
The slope will be,
m=-5--4/-5--3
m=-5+4/-5+3
m=-1/-2 = 1/2
The equation will be;
y--4/x--3= 1/2
y+4/x+3= 1/2
2y+8=x+3
2y=x+3-8
2y=x-5
y=1/2x -2.5
In the line with points (-3,-4) and (1,-6)
m=-6--4/1--3
m=-6+4/1+3
m=-2/4 = -1/2
Finding the equation of the line
y--4/x--3 = -1/2
2(y+4) = -1 (x+3)
2y+8 =-x-3
2y=-x-3-8
2y=-x-11
y= -1/2x-5.5
The inequality can be ;
y>1/2x + 2.5
y> -1/2x -5.5
or
y< 1/2 x +2.5
y< -1/2x-5.5
Depending on the area shaded as show in the attached graphs
Learn more
- Solve inequality using graphs https://brainly.in/question/5768234
- Solution of inequality using graphs brainly.com/question/11234618
Keywords : Inequalities, graph solutions
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Step-by-step explanation:
Given that,
The volume of gas in a container at a constant temperature varies inversely as the pressure.
We need to find pressure .
According to question,
Putting all the values
So, the pressure is 4.26 pounds.