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Alex73 [517]
3 years ago
5

F(x) = 3x – 10 g(x) = x2 + 4x + 5 Find: g(f(x))

Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0

Answer:

g(f(x))=g(3x – 10)=(3x – 10)² + 4(3x – 10)+ 5=9x²-60x+100+12x-40+5=9x²-48x+55

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What is the gcf of 3/7 and 4/9?
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Step-by-step explanation:

There are a couple of ways to do this.

<h3>1) </h3>

Look for the GCF of the numerators when a common denominator is used.

  GCF(3/7, 4/9) = GCF(27/63, 28/63) = (1/63)·GCF(27, 28)

  GCF(3/7, 4/9) = 1/63

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<h3>2) </h3>

Use Euclid's algorithm. If the remainder from division of the larger by the smaller is zero, then the smaller is the GCF; otherwise, the remainder replaces the larger, and the algorithm repeats.

  (4/9)/(3/7) = 1 remainder 1/63*

  (3/7)/(1/63) = 27 remainder 0

The GCF is 1/63.

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* The quotient is 28/27 = 1 +1/27 = 1 +(1/27)(3/7)/(3/7) = 1 +(1/63)/(3/7) or 1 with a remainder of 1/63.

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<em>Additional comment</em>

3/7 = (1/63) × 27

4/9 = (1/63) × 28

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