Answer:
The expression equivalent to the given complex fraction is

Step-by-step explanation:
An easy way to solve the complex fraction is to solve the numerator and denominator separately.
Numerator:

Denominator:

Solving the complex fraction:
![[\frac{-2}{x} + \frac{5}{y}] / [\frac{3}{y} + \frac{-2}{x}]\\= [\frac{-2y + 5x}{xy}] / [\frac{3x - 2y}{xy}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B-2%7D%7Bx%7D%20%2B%20%5Cfrac%7B5%7D%7By%7D%5D%20%2F%20%5B%5Cfrac%7B3%7D%7By%7D%20%2B%20%5Cfrac%7B-2%7D%7Bx%7D%5D%5C%5C%3D%20%5B%5Cfrac%7B-2y%20%2B%205x%7D%7Bxy%7D%5D%20%2F%20%5B%5Cfrac%7B3x%20-%202y%7D%7Bxy%7D%5D)

Common terms in the numerator and denominator cancels each other(Cross multiplication) :

Answer:
14 4/9 cans
Step-by-step explanation:
We need to add the cans used on Saturday and Sunday
10 7/9 + 3 4/6
We can simplify the fraction 4/6 by dividing the top and bottom by 2
10 7/9 + 3 2/3
To add, we need the fractions to have a common denominator of 9
10 7/9 + 3 2/3*3/3
10 7/9 + 3 6/9
Add the whole numbers 10 +3 = 13
Add the fractions 7/9 + 6/9 = 13/9
13/9 = 1 4/9
Move the whole part of the fraction to the whole numbers
13 + 1 + 4/9
14 4/9
Y - 5 = -2x - 4
Add 5 on both sides.
y = -2x + 1
y = -2x + 1 is in simplest form.
Answer:
- Domain:

- Range:

Step-by-step explanation:
<u>Domain</u>
The graph shows the points in which the domain is located. To find the Domain, go to the point in the x-axis (the horizontal line) and note the number where the point lies. For this question, the Domain lies in -5 and 1. Once you've found that, it's time to write it down. To do that you'll need to write the number at the most left before the one at the right. So it should be -5 less than/equal to X. Now since the point at the right is an "open-circle", x is less than the number at the most right. Not the same as a <u>closed circle.</u> So at the end of the process, you should have gotten -5 less than/equal to X less than 1 =
.
<u>Range</u>
The graph shows the points in which the range is located. To find the Range, go to the point in the y-axis (the vertical line) and note the number where the point lies. For this question, the Range lies in -4 and 7. Once you've found that, it's time to write it down. To do that you'll need to write the number at the most left before the one at the right. So it should be -4 less than/equal to X. Now since the point at the right is an "open-circle", x is less than the number at the most right. Not the same as a <u>closed circle.</u> So at the end of the process, you should have gotten -4 less than/equal to X less than 7 =
.
Answer:
The height is increasing at the rate of 0.26 ft/min
Step-by-step explanation:
Explanation with steps is in the following attachment