82n - 164 = 738
82n = 738 + 164
82n = 902
n = 902/82
n = 11 <===
When the function is asked to be shifted to 1 unit to the right, we replace x with x - 1. Hence, f(x) = x3 + 2x2 - 3x - 5 f(x - 1) = (x - 1)^3 + 2(x - 1)^2 - 3(x - 1) - 5
= (x^3 - 3x^2 + 3x - 1) + 2(x^2 - 2x + 1) - 3(x - 1) - 5 = x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5 = x^3 - x^2 - 4x - 1
The final equation is <span>x^3 - x^2 - 4x - 1 </span>
Answer:
519.6
Step-by-step explanation:
A hexagon has a total of 720 for it's interior angles so each angle is 120 and in the triangle, each of them is 60, making it an equilateral triangle. You can use 30 60 90 triangles to find the height which is 5√3.
(5√3)*10=50√3
The area of the triangle times 6 is 300√3 which is approximately 519.6
