Answer:

Step-by-step explanation:
Linear function:
A linear function has the following format:

In which m is the slope and b is the q-intercept.
One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.
This means that we have these following points: (4,80), (10,44).
Finding the slope:
With a pair of points, the slope is given by the change in q divided by the change in p.
Change in q: 44 - 80 = -36
Change in p: 10 - 4 = 6
Slope: 
So

Finding b:
We replace one of the points. Replacing (4,80).



So

P=2(L+W)
P=364
L=99
sub and find W
364=2(99+W)
divide both sides by 2
182=99+w
subtract 99 from both sides
83=W
w=83ft
Answer:
3 Cupcakes
Step-by-step explanation:
First, multiply the percentage, 30, times the number of cupcakes, 10, ad you get 300. Then, divide that by 100, and oyu get your answer, 3 cupcakes.
*Or since this form of equation is in a simpler form of 10 cupcakes, just get rid of the percentage sign and the 0 in 30%. I hope this helps :)
Answer:

Step-by-step explanation:
![\sqrt[3]{-\frac{1}{512}}=\frac{\sqrt[3]{-1}}{\sqrt[3]{512}}=\frac{-1}{8}=-\frac{1}{8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-%5Cfrac%7B1%7D%7B512%7D%7D%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B-1%7D%7D%7B%5Csqrt%5B3%5D%7B512%7D%7D%3D%5Cfrac%7B-1%7D%7B8%7D%3D-%5Cfrac%7B1%7D%7B8%7D)
Answer:
The value of x is: x > -2
Step-by-step explanation:
The interval notation if you need it is (-2, ♾)