y = 3(-x - 2)
Any horizontal transformations or reflections you make to y = x must be within the parentheses.
<h3>
Answer:</h3>
-y³ -6y²x +30
<h3>
Step-by-step explanation:</h3>
When parentheses are eliminated and the y variable placed first in each term, the expression simplifies to ...
... 15 -7y²x -y³ +y²x +15
Arranging like terms together, we have ...
... -y³ +y²x(-7 +1) +(15 +15)
... -y³ -6y²x +30
_____
The two different 3rd-degree terms can be expressed in either order. I have chosen to list the term with the largest exponent first. The expression could also be written with the same-degree terms in "lexicographical order", meaning the expression would be written ...
... -6xy² -y³ +30
If you need to write a number as a decimal, it means that you need to write is a an x divided by a power of 10.
you can use this formula:

now let's multiply both sides by 10:

and simplyfy:
(by dividing the first fraction's elements by 5)

change improper fraction into a mixed number

and 1 over 3 is 0.33333...
so the answer is 1.333333 - we can also write it as 1.(3)
Answer:
3:7
Step-by-step explanation:
So to solve this problem, you have to understand what the ratio 1:4 and 2:3 means. The 1:4 ratio in the first equation means that for "each unit of alcohol" there is 4 of those units of water. So let's say I had 2 gallons of alcohol and mixed it with 8 gallons of water. This means for each gallon of alcohol, there is 4 gallons of water, or in other words a 1:4 ratio. This can be described as a percentage as well. For each 5 gallons there are 4 gallons of water, and 1 gallon of alcohol or <em>20%</em> is alcohol. So let's just say that x=alcohol and y=water, this means that:
where c is the total amount in the glass. This means that: 
Let's do the same thing to the second equation. the ratio means that for every 2 units of alcohol there are 3 units of water. This means for every 5 gallons of the mixture there is 2 units of alcohol which is 40%. In this case let's also say that j=alcohol and k=water. This means that:
and that:
.
So if we're going to add the two glasses, we simply add the two sides, and get:
. Now remember how can can express j and x in terms of c, since it's a certain percentage of c (the entire thing). This means that we get:
Now we can add like terms to get the equation:
. We can find how much 0.6c is to 2c by dividing the 2, in doing so we get that 0.6c/2c = 0.3, or in other words the 0.6c is only 30% of the final mixture, and since the 0.6c represents the alcohol in this mixture, that means that's the percentage of alcohol. To write this as a ratio, this means for every 3 units of alcohol, there is 7 units of water, because 3/10 = 30%.