−3z−(−z−2) Simplify to create an equivalent expression.
2 answers:
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Given
The mass of a certain 10k gold necklace is 18 grams.
Find out how many grams of gold are in the necklace.
To proof
let us assume that the gold in the necklace be x.
As given in the question
10k gold necklace i.e gold necklace is made up of the various elements with the gold.
10k gold necklace is 18 grams.
As pure gold is of the 24k.
than the equation becomes
solving
x =7.5 gram
7.5 grams of gold are in the necklace .
Hence proved
Essentially, we are trying to find the missing constant term of (remember that we are subtracting
due to the negative sign in front of the second term). Let's expand this to see what we can work with:
- Set up
- FOIL and simplify
Now, we know the second term is , so let's set the second term in the polynomial we just found equal to
:
- Set up
- Divide both sides of the equation by
- Divide both sides of the equation by 2
We have found . We know the missing constant term is
, according to the polynomial we found earlier. Thus, the missing term is:
The missing constant term is 36.
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