You just bought a dog, so you want to install a fence around your yard. The yard is rectangular and is 35.8 feet wide by 55.2 fe
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Answer:
Part A:
P(x)=15x^4+30x^3-50
Part B:
P(4)=$4270
Step-by-step explanation:
Part A:
In order to find the profit function P(x) we have to integrate the P'(x)
P'(x)=x(60x^2+90x)
P'(x)=60x^3+90x^2
P(x)=15x^4+30x^3+C
when x=0, C=-50
P(x)=15x^4+30x^3-50
Part B:
x=4
P(x)=15x^4+30x^3-50
P(4)=15*4^4+30*4^3-50
P(4)=$4270
Profit from selling 400 pounds is $4270
The equation of the line is
Step-by-step explanation:
The slope is
Also, the line passes through the points
To find a line with slope that passes through the points
, let us use the equation of a line with slope that passes through the point is given by
where m is the slope and
are the points
.
Thus, substituting the values in the equation of a line, we get,
Multiplying the term by -5, we get,
Adding both sides by 5x,
Subtracting 35 from both sides of the equation,
Thus, the equation of the line is