Answer:
First graph
Step-by-step explanation:
Here we have x ≥ 0, and y ≥ - 2, not x ≥ 0 and y ≥ 0. Thus, it doesn't restricts us fully to quadrant 1, but somewhat off considering y ≥ - 2. Now all we have to do is plot the following system of inequalities -
Convert each into slope intercept form -
![\begin{bmatrix}y\le \frac{23-2x}{3}\\ y\le \frac{79-11x}{7}\\ y\ge \:5-x\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7Dy%5Cle%20%5Cfrac%7B23-2x%7D%7B3%7D%5C%5C%20y%5Cle%20%5Cfrac%7B79-11x%7D%7B7%7D%5C%5C%20y%5Cge%20%5C%3A5-x%5Cend%7Bbmatrix%7D)
Which should be bounded by a small region similar to graph 1! The shaded region represents each intersection with respect to their restriction to quadrant 1.
<u><em>Hope that helps!</em></u>
Answer:
n = 2m
Step-by-step explanation:
total number of movies = 2 movies every month times the number of months
16x - 3 + 5x + 2 = 72
21x - 1 = 72
21x = 72+1
21x = 73
x = 73/21
x ≈ 3.48
Distance from Diego's house to the restaurant:
16x - 3 = 16 * 3.48 - 3 ≈ 52.6 miles
Distance from Anya's house to the restaurant:
5x + 2 = 5 * 3.48 + 2 ≈ 19.4 miles
52.6 ≠ 19.4 ⇒ <span>Diego was wrong.</span>