Answer:
The product results in:
, which agrees with answer A of the given choices.
Step-by-step explanation:
We need to apply distributive property for the product of two expressions each consisting of two terms, and also use the properties of products of radicals of the same root:

and now, we extract as many factors we can from the roots to reduce them:

128 oz. in one gallon. 35 cups of 12 oz. equals 420 oz. 420 divided by 128 equals 3.28 so youll need 4 bottles. D.
(m + n + 3)(m + n + 4)
First distribute the m in the first set of parentheses to the second set of parentheses. Do the same process with the n and the 3.
m^2 + mn + 4m + mn + n^2 + 4n + 3m +3n + 12
Combine Like terms. Final Answer:
m^2 + n^2 + 2mn + 7m + 7n + 12
The
<u>correct answer</u> is:
Matthew's rate is higher by $50 per month.
Explanation:
We know that Christopher's rate is $550 per month.
To find Matthew's rate, we will treat the data we have as ordered pairs:
(3, 1800)
(6, 3600)
(9, 5400)
We find the slope of the line between these points. The formula for slope is:

Using the first two points, we have:

To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:

Matthew's rate is $600 per month.
This is higher than Christopher's by 600-550=$50 per month.