He highest priced diamond ever sold at auction weighed 69.42 carats and sold for $1,050,000. A carat is equal to 0.2 grams. What was the weight of this diamond in grams?

13.884 grams

Step-by-step explanation:

From the question:

1 carat = 0.2 grams

The highest priced diamond = 69.42 carats.

Hence:

1 carat = 0.2 grams

69.42 carats = x grams

x grams = 69.42 × 0.2 grams

x grams = 13.884 grams

Hence, the weight of the highest priced diamonds is 13.884 grams.

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)