Answer: P(x) = -3x^2 + 49x - 105
Step-by-step explanation:
The revenue accrued is the total income from sales or services rendered irrespective of the cost of purchase, production or rendering of the service. It means that revenue is the sum of cost and and profit.
From the information given, the revenue is expressed as a function,
Revenue = R(x)=x(65-3x) = 65x - 3x^2
The cost function is expressed as
C(x)=105+16x
Revenue = Profit + Cost
Therefore,
R(x) = P(x) + C(x)
65x - 3x^2 = P(x) + 105+16x
P(x) = -3x^2 + 65x - 16x - 105
P(x) = -3x^2 + 49x - 105
Answer:
3x³y √(5xy)
Step-by-step explanation:
√(3x⁴y) √(15x³y²)
Multiply the radicands. When multiplying, add the exponents (xᵃ xᵇ = xᵃ⁺ᵇ).
√(45x⁴⁺³y¹⁺²)
√(45x⁷y³)
To simplify further, we need to factor out perfect squares (anything with an even exponent).
√(3²·5 x⁶x y²y)
√(3²x⁶y²) √(5xy)
Take the square root of the perfect square (halve the exponent).
3x³y √(5xy)
Answer:
In the picture above.
Step-by-step explanation:
Good luck.
-x+8+3x=x-6
Combine like terms:
8 + 2x = x-6
Subtract x from each side:
8 + x = -6
Subtract 8 from each side:
x = -14