Answer:
The correct answer is x^2 + x + 1.
Step-by-step explanation:
A prime polynomial is one that cannot be factored. To solve this problem, we can use the process of elimination by eliminating all answer choices that can be factored.
x^2 - x - 2 = (x - 2)*(x + 1)
x^2 - 12x + 11 = (x - 11)*(x - 1)
x^2 + 2x - 8 = (x + 4)*(x - 2)
Since we cannot factor x^2 + x + 1, and we can factor all of the other answer choices, we know that x^2 + x + 1 is the answer.
Hope this helps!
Answer:
-2x²+490x+2500
Step-by-step explanation:
Given that,
Demand, D(x) = 500-2x
The price for the product, P(x) = x+5
We need to find the revenue for the product. The formula for the revenue is given by :
Revenue = price × demand
Substitute all the values,
R = (x+5)(500-2x)
= 500x -2x² + 2500 -10x
= -2x²+490x+2500
So, the expression for the revenue function is "-2x²+490x+2500".
Answer:
40°
Step-by-step explanation:
Base length, b = adjacent = 3020 feets
Height of building, h = opposite = 2534 feets
The angle of elevation formed :
Using the trigonometry relation:
Tan θ = opposite / Adjacent
Tan θ = 2534 / 3020
Tan θ = 0.8390728
θ = tan^-1(0.8390728)
θ = 39.999
= 40°