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3 years ago

For the functions f(x)=6x2+5x−14 and g(x)=x+2, find (fg)(x) and (fg)(4).

Mathematics

2 answers:

Eduardwww [97]3 years ago

5 0

Answer:

many a number

Step-by-step explanation:

vova2212 [387]3 years ago

5 0

$f(g(x)) = f(x+2) = 6(x+2)^2 + 5(x+2) - 14 = 6(x^2 + 4x + 4) + 5x + 10 - 14\\=6x^2 + 24x + 24 + 5x - 4 = 6x^2 + 29x + 20\\f(g(x)) = 6x^2 + 29x + 20\\\\f(g(4)) = 6(4^2) + 29(4) + 20 = 6(16) + 116 + 20 = 96 + 136 = 232\\f(g(4)) = 232$

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motikmotik

Answer:

The greatest number of bags Lucia can make = 16

Each of the 16 bags will contain 4 stickers and 3 markers

Step-by-step explanation:

Markers = 48

Stickers = 64

What is the greatest number of bags Lucia can make?

Find the highest common factor of 48 and 64

48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48

64 = 1, 2, 4, 8, 16, 32 and 64

The highest common factor of 48 and 64 is 16

The greatest number of bags Lucia can make = 16

Stickers = 64/16

= 4 stickers per bag

Markers = 48/16

= 3 markers per bag

Each of the 16 bags will contain 4 stickers and 3 markers

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Step-by-step explanation:

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