Translate the phrase into a math expression. Twelve more than the quotient of six divided by three. Responses (6÷3)+12 eft paren
1 answer:
The given phrase on translation to math expression is (6 ÷ 3) + 12 , the correct option is (a) .
In the question ,
an mathematical phrase is given , that is "Twelve more than the quotient of six divided by three" .
we have to translate it into mathematical expression ,
So , the term quotient of six divided by three is written as 6 ÷ 3 .
and phrase " more " is represented by " + " ,
Hence the given phrase, "Twelve more than the quotient of six divided by three" is (6 ÷ 3) 12 .
Therefore , The given phrase on translation to math expression is (6 ÷ 3) + 12 , the correct option is (a) .
The given question is incomplete , the complete question is
Translate the phrase into a math expression , "Twelve more than the quotient of six divided by three" .
(a) (6÷3)+12
(b) 6÷(3+12)
(c) (3÷6)+12
(d) 3÷(6+12)
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From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is 
, and 
.
There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.
That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are
and 
. The difference of those two cubes is:
In our problem, a = 4 (since = 64) and b = y (since 
. Plug these values into the rule to find the factor of 
:
-----
Answer:
There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.
That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are
In our problem, a = 4 (since
-----
Answer: