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3 years ago

F(x)=4x-1 G(x)=2x+3 Find (fog)(2)

Mathematics

1 answer:

Alik [6]3 years ago

8 0

Answer:

Step-by-step explanation:

$(f\circ g)(x)=f(g(x))\\\\(f\circ g)(2) = f(g(2)) = f(2\cdot 2+3) = f(7)\\\\=4\cdot 7-1=\boxed{27}$

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2 years ago

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2 years ago

Find m∠DEC (the picture is not drawn to scale).

pochemuha

Answer:

M∠DEC equals 123º.

Step-by-step explanation:

The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.

180 - {(x - 45)+(x - 12)} = m∠DEC

m∠DEC + x = 180

(x - 45) + (x - 12) = x

Solving for x:

(x - 45) + (x - 12) = x

x - 45 + x - 12 = x Remove parenthesis

2x - 57 = x Combine like terms

2x = x + 57 Add 57 to both sides

x = 57 Subtract x from both sides

Finding m∠D:

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57 - 45 = 12º

Finding m∠C:

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57 - 12 = 45º

** (Checking x: 12 + 45 = 57) **

Finding m∠DEC:

AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:

180 - 57 = 123º

Hope this helps,

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3 years ago