Solution:- Given that the total revenue function
,where x is the number of rooms filled
Now, differentiating the function w.r.t. x,we get
![r'(x)=300-0.4x](https://tex.z-dn.net/?f=r%27%28x%29%3D300-0.4x)
To find critical points ,Put ![r'(x)=0](https://tex.z-dn.net/?f=r%27%28x%29%3D0)
![\Rightarrow300-0.4x=0\\\Rightarrow0.4x=300\\\Rightarrow x=750\\\text{Now}\\r"(x)=-0.4](https://tex.z-dn.net/?f=%5CRightarrow300-0.4x%3D0%5C%5C%5CRightarrow0.4x%3D300%5C%5C%5CRightarrow%20x%3D750%5C%5C%5Ctext%7BNow%7D%5C%5Cr%22%28x%29%3D-0.4%20%3C0%5Ctext%7B%28by%20second%20derivate%20test%29%7D%29%5C%5C%5Ctext%7BMaximum%20revenue%20will%20produce%20by%20filling%20x%3D750%20rooms%20in%20dante%27s%20villas.%7D)
Answer:
Go to
Step-by-step explanation:
Ull find the answer there
Hello!
Due to the definition of the Alternate Interior Angles Theorem, (x+23)+(x+54)=180 degrees:
x + 23 + x + 54 = 180
2x + 77 = 180
2x = 103
x = approximately 52 degrees or exactly 51.5 degrees
I hope this helps :))
Answer:
Step-by-step explanation:
Given : Expression ![16x^2+49](https://tex.z-dn.net/?f=16x%5E2%2B49)
To find : Factor the expression ?
Solution :
The given expression is a quadratic function
the solution is ![x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
On comparing with general form,
a=16, b=0, c=49
Substitute in the formula,
Factors are
Therefore,
Using the Pythagorean theorem a^2 +b^2 = c^2, where a and b are the sides of a triangle and c is the hypotenuse.
BA and AC are sides and BC is the hypotenuse.
we have 23^2 + b^2 = 45^2
529 + b^2 = 2025
b^2 = 2025 - 529
b^2 = 1496
b = sqrt(1496)
b = 38.68 = 38.7
The length of AC = 38.7