Answer:
![P(x) = -0.25x^2 + 42x - 90](https://tex.z-dn.net/?f=P%28x%29%20%3D%20-0.25x%5E2%20%2B%2042x%20-%2090)
Step-by-step explanation:
Given
![C(x) = -17x + 90](https://tex.z-dn.net/?f=C%28x%29%20%3D%20-17x%20%2B%2090)
![R(x) =- 0.25x^2 + 25x](https://tex.z-dn.net/?f=R%28x%29%20%3D-%200.25x%5E2%20%2B%2025x)
Required
Determine the profit function.
Profit function is calculated as thus:
![P(x) = R(x) - C(x)](https://tex.z-dn.net/?f=P%28x%29%20%3D%20R%28x%29%20-%20C%28x%29)
So, we have:
![P(x) = -0.25x^2 + 25x -(-17x + 90)](https://tex.z-dn.net/?f=P%28x%29%20%3D%20-0.25x%5E2%20%2B%2025x%20-%28-17x%20%2B%2090%29)
![P(x) = -0.25x^2 + 25x + 17x - 90](https://tex.z-dn.net/?f=P%28x%29%20%3D%20-0.25x%5E2%20%2B%2025x%20%2B%2017x%20-%2090)
![P(x) = -0.25x^2 + 42x - 90](https://tex.z-dn.net/?f=P%28x%29%20%3D%20-0.25x%5E2%20%2B%2042x%20-%2090)
48.
N/6 = 8
48/6 = 8
8 = 8
8 does indeed equal 8
Good luck!
Answer:
C. 647 square units
Step-by-step explanation:
To find the shaded area, subtract the area of the unshaded square from the area of the octagon.
<u>Area of the octagon</u>
![\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}](https://tex.z-dn.net/?f=%5Ctextsf%7BArea%20of%20a%20regular%20polygon%7D%3D%5Cdfrac%7Bn%5C%3Al%5C%3Aa%7D%7B2%7D)
where:
- n = number of sides
- l = length of one side
- a = apothem
Given:
Substitute the given values into the formula and solve for A:
![\implies \textsf{Area}=\sf \dfrac{8 \cdot 13 \cdot 15.69}{2}](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctextsf%7BArea%7D%3D%5Csf%20%5Cdfrac%7B8%20%5Ccdot%2013%20%5Ccdot%2015.69%7D%7B2%7D)
![\implies \textsf{Area}=\sf \dfrac{1631.76}{2}](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctextsf%7BArea%7D%3D%5Csf%20%5Cdfrac%7B1631.76%7D%7B2%7D)
![\implies \textsf{Area}=\sf 815.88\:\:square \:units](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctextsf%7BArea%7D%3D%5Csf%20815.88%5C%3A%5C%3Asquare%20%5C%3Aunits)
<u>Area of the square</u>
![\implies \textsf{Area}=\sf 13^2=169 \:\:square \:units](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctextsf%7BArea%7D%3D%5Csf%2013%5E2%3D169%20%5C%3A%5C%3Asquare%20%5C%3Aunits)
<u>Area of the shaded region</u>
= area of the octagon - area of the square
= 815.88 - 169
= 646.88
= 647 square units (nearest square unit)
Yo sup??
This question can be solved by applying the properties of similar triangles
the triangle with sides 5x and 20 is similar to the triangle with sides 45 and 36
therefore we can say
5x/45=20/36
x=5 units
Hope this helps
Red blood cell, as they have a biconcave shape and need to store a lot of haemoglobin, the pigment of blood
hope this helps! :)