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
Answer:
0
Step-by-step explanation:
2x – 5x + 16 = –3(x – 6)
2x - 5x + 16 = -3x + 18
-3x + 16 = -3x + 18
0x = 1
x = 0
Using logarithms property of log(x)+log(y)=log(xy)
so here, you can sum the equation to;

so you can simply say that;

and by multiplying (x+6)*(x-6)

and as you know also that;

is same as

so you can simply state it as;

And you can check your work by substituting with 10 instead of x in the original function.
Hope this helps!
Answer:
3,4
Step-by-step explanation:
Answer:
Step-by-step explanation:
3in/4 = 0.75in(Diameter) for each circle
r = 0.375
A = πr^2
A(for 1 circle) = 0.141π
A(for 1/4 circle) = 0.035π
A x 4 because we have 4 circles =
0.141π
0.141π(area of middle) + 0.141π(area of circle) =
0.282π or 0.886in^2