Answer:
q = 66
P = 132
Step-by-step explanation:
To get the equilibrium price, we need to find the price at which the quantity demanded equals the quantity supplied.
Now we equate the equations of the demanded quantity and the supplied quantity:
462 - 5q = 2q
7q = 462
q = 462/7 = 66
The price at this level is obtained by substituting the value of q into any of the equation
Using P = 2q
P = 2 * 66 = 132
Answer:
x=0
Step-by-step explanation:
![4 \cos(x) = - \sin {}^{2} (x) + 1](https://tex.z-dn.net/?f=4%20%5Ccos%28x%29%20%20%3D%20-%20%20%5Csin%20%7B%7D%5E%7B2%7D%20%28x%29%20%20%2B%201)
![4 \cos(x) = 1 - \sin {}^{2} (x)](https://tex.z-dn.net/?f=4%20%5Ccos%28x%29%20%20%3D%201%20-%20%20%5Csin%20%7B%7D%5E%7B2%7D%20%28x%29%20)
![4 \cos(x) = \cos {}^{2} (x)](https://tex.z-dn.net/?f=4%20%5Ccos%28x%29%20%20%3D%20%20%5Ccos%20%7B%7D%5E%7B2%7D%20%28x%29%20)
![4 \cos(x) - \cos {}^{2} (x) = 0](https://tex.z-dn.net/?f=4%20%5Ccos%28x%29%20%20-%20%20%5Ccos%20%7B%7D%5E%7B2%7D%20%28x%29%20%20%3D%200)
![\cos(x) (4 - \cos(x) ) = 0](https://tex.z-dn.net/?f=%20%5Ccos%28x%29%20%284%20-%20%20%5Ccos%28x%29%20%29%20%3D%200)
![\cos(x) = 0](https://tex.z-dn.net/?f=%20%5Ccos%28x%29%20%20%3D%200)
![x = 0](https://tex.z-dn.net/?f=x%20%3D%200)
![4 - \cos(x) = 0](https://tex.z-dn.net/?f=4%20-%20%20%5Ccos%28x%29%20%20%3D%200)
![\cos(x) = 4](https://tex.z-dn.net/?f=%20%5Ccos%28x%29%20%20%3D%204)
There is no solution here because cosine is undefined it the range is not between -1 and 1 so the only answer is 0.
Answer:
10
Step-by-step explanation:
To find the value of x, create a proportion. A proportion is two equal ratios for similar figures. The two triangles are similar because they are the same shape but not the same size. Create ratios between corresponding sides of figures.
![\frac{12}{2x+1}=\frac{8}{x+4}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B2x%2B1%7D%3D%5Cfrac%7B8%7D%7Bx%2B4%7D)
To solve for x, cross multiply:
12(x+4) = (2x+1)(8)
12x + 48 = 16x + 8
48 = 4x + 8
40 = 4x
10 = x
Hello there! I had the same question and my answer was less than. I am not positive that it is correct but that's my answer so please tell me if I am wrong.
Thank you and have a great day!