Answer:
y = 8
Step-by-step explanation:
-4(3) = -12
to get -12 to 12 you need to add 24 to -12 to make it 12.
so 3 (8) = 24
so -12 + 24 =12
Answer:
Not a function.
Step-by-step explanation:
It is not a function since it does not pass the vertical line test.
Answer:
y=3x-7
step by step explaination:
Answer:
16 apples.
Step-by-step explanation:
![U(x, y) = x^2y^8](https://tex.z-dn.net/?f=U%28x%2C%20y%29%20%3D%20x%5E2y%5E8)
![MU_x =\frac{\partial U}{\partial x} = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\](https://tex.z-dn.net/?f=MU_x%20%3D%5Cfrac%7B%5Cpartial%20U%7D%7B%5Cpartial%20x%7D%20%20%3D%202xy%5E8%5C%5CMU_y%20%3D%20%5Cfrac%7B%5Cpartial%20U%7D%7B%5Cpartial%20x%7D%20%3D%208x%5E2y%5E7%5C%5C)
Price of apples, Px=$4
Price of tomatoes, Py=$3
Ratio of their Marginal Utilities
![\frac{MU_x}{MU_y} = \frac{Px}{Py}](https://tex.z-dn.net/?f=%5Cfrac%7BMU_x%7D%7BMU_y%7D%20%20%3D%20%20%5Cfrac%7BPx%7D%7BPy%7D)
![\frac{y}{4x} = \frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B4x%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D)
![y=\frac{16x}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B16x%7D%7B3%7D)
Since Natalie’s income is $320
320 = xPx+yPy
![320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33](https://tex.z-dn.net/?f=320%3D4x%20%2B%203%2A%5Cfrac%7B16x%7D%7B3%7D%20%5C%5C320%3D%204x%2B16x%20%3D%2020x%5C%5Cx%3D%5Cfrac%7B320%7D%7B20%7D%20%3D%2016%5C%5CAlso%5C%5Cy%3D%5Cfrac%7B16x%7D%7B3%7D%3D%5Cfrac%7B16X16%7D%7B3%7D%3D%5C%2485.33)
Since x=16, Natalie will consume 16 apples.