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Bumek [7]
3 years ago
7

Darius created a factor tree and wrote the prime factorization of 60 shown here.

Mathematics
1 answer:
UkoKoshka [18]3 years ago
6 0

Answer: he needs to finish factoring the 4s.

Step-by-step explanation:

4x15 is 60, so that is right, 3x5 is 15, so that’s is right, 2x2 is 4, so that is right, but he didn’t finish factoring. 1x1 is 2, so he should have 1 and 1 coming from each 2 on the tree. Hope this helps.

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Sara wants to find the input value that produces the same output for the functions represented by the tables.
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Answer:

2 is the value that provides the same result with f(x) and g(x).

Step-by-step explanation:

You can solve this by saying:

f(x) = g(x)

and then solving for x.

So let's do it:

f(x) = g(x)\\-0.5x + 2 = 2x - 3\\2x + 0.5x  = 2 + 3\\2.5x = 5\\x = 2

This tells us that when x = 2, the two functions will have identical values.  Let's try them out to confirm it!

f(x) = -0.5x + 2

f(2) = -0.5 * 2 + 2

f(2) = -1 + 2

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g(x) = 2x - 3

g(2) = 2 * 2 - 3

g(2) = 4 - 3

g(2) = 1

So we can see that 2 is the value that produces the same result in both charts.

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3 years ago
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