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raketka [301]
3 years ago
12

Which expression shows how 8•54 can be rewritten using the distributive property ?

Mathematics
1 answer:
konstantin123 [22]3 years ago
8 0

The distributive property is a(b+c) = ab + ac or a(b-c) = ab - ac

So here are some potential answers:

8(50 + 4) = 8·50 + 8·4


8(60 - 6) = 8·60 - 8·6


I prefer the first answer

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Write a function to represent the set of ordered pairs.
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Answer:

Option C   f (x) = x^ 2 - 2

Step-by-step explanation:

Note that the relation describing the set of ordered pairs does not change at a costing rate

y_2 -y_1 = 7-2 = 5\\\\y_3 -y_2 = 14- 7 = 7\\\\y_4 - y_3 = 23- 14 = 9

Therefore the relationship is not linear.

However, the exchange rate y_n- y_{n-1} increases by a factor of 2 units when n increases 1 unit. This allows us to conclude that the relationship is quadratic

Note that the following ordered pairs belong to the function

y = x ^ 2

A = {(2, 4), (3, 9), (4, 16), (5, 25)}

The set of ordered pairs that we have is:

B = {(2, 2), (3, 7), (4, 16), (5, 23)}

Note that there is a similarity between both sets of ordered pairs.

In set B the values of y are always 2 units less than the values in y of the set A.

Then we deduce that since the function that models the set A is y = x ^ 2 then the function that contains the ordered pairs of the B set is:

y = x ^ 2 -2

The correct option is option C) f (x) = x^ 2 - 2

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