Area = base x height
Area = 12 x 5 = 60 square units
Answer:
Yes to all 3 questions.
Step-by-step explanation:
3x^2(x-1) + -3x^3+ 4x^2-2x+1
= 3x^3 - 3x^2 - 3x^3 + 4x^2 - 2x + 1
= x^2 - 2x + 1,
So A + B is a polynomial.
3x^2(x-1) - (-3x^3+ 4x^2-2x+1)
= 3x^3 - 3x^2 + 3x^3 - 4x^2 + 2x - 1
= 6x^3 - 7x^2 + 2x - 1.
So A - B is also a polynomial.
3x^2(x-1)( -3x^3+ 4x^2-2x+1)
= (3x^3 - 3x^2) ( -3x^3 + 4x^2 - 2x + 1)
= -9x^6 + 12x^5 - 6x^4 + 3x^3 + 9x^5 - 12x^4 + 6x^3 - 3x^2
= -9x^6 + 21x^5 - 18x^4 + 9x^3 - 3x^2.
So A * B is a polynomial.
Plan A = 50 + 0.05(x-500)
Plan b = 20 + 0.06 (x-200)
set A equal to B
50 + 0.05 (x-500) = 20 + 0.06(x-200)
50 + 0.05x - 25 = 20 + 0.06x -12
rearrange like terms on one side.
50 - 25 -20 +12 =0.06x -0.05x
17 = 0.01x
x = 1700 minutes.
The answer is 9 fish.
The density (d) is the number of units(n) per volume (V):
d = n/V We know: d = 0.3 fish/ft³. V = 30 ft³ n = ? d = n/V n = d * V n = 0.3 fish/ft³ * 30 ft³ n = 9 fish