Explain the closure property as it relates to polynomials. Give an example.
2 answers:
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Answer:
Slope, m = 1100
y-intercept,c = 2491
Step-by-step explanation:
We are given the following in the question:
The above gives the altitude of the airplane above the sea level in feet(y) after x minutes since the take off.
Comparing the above equation, to a general linear equation, we have,
where m is the slope and c is the y-intercept.
Comparing we get,
Slope, m = 1100
y-intercept,c = 2491
Interpretation:
- The slope of equation tells us about the rate of change of function with unit increase in value of x. Thus, the altitude of airplane increases 1100 feet when the time increases by 1 minute.
- The y-intercept is the value of y when x is 0. Thus, the altitude of airplane is 2491 feet when the airplane has not taken off.
Answer:
The height of the candle after 7 hours is 21.3 centimeters.
Step-by-step explanation:
From the information given you can assign the following values:
x1=10; y1=21
x2=28; y2=19.2
First, you have to find the slope using the following formula:
m=
m=
m=-0.1
Then, you can find the equation using the point/slope formula:
y-y1=m(x-x1)
y-21=-0.1(x-10)
y-21=-0.1x+1
y=-0.1x+22
Finally, to find the answer you need to replace the value of x that would be 7 in y=-0.1x+22:
y=-0.1(7)+22
y=-0.7+22
y=21.3
According to this, the height of the candle after 7 hours is 21.3 centimeters.