2.What is the factored form of x^2 + 6x + 8?

Mathematics

2 answers:

Nonamiya [84]3 years ago

8 0

2. x^2 +6x +8 = (x+4)(x+2)

3. x^2 -7x +12 = (x-4)(x-3)

4. g^2 -2g -24 = (g+4)(g-6)

hope helped

Irina-Kira [14]3 years ago

4 0

2. x² + 6 x + 8 =
= x² + 4 x + 2 x+ 8 = x ( x + 4 ) + 2 ( x + 4 ) =
= ( x + 4 ) ( x + 2 )
Answer: B )
3. x² - 7 x + 12 =
= x² - 3 x - 4 x + 12 = x ( x - 3 ) - 4 ( x - 3 ) =
= ( x - 3 ) ( x - 4 )
Answer: D )
4. g² - 2 g - 24 = ( g + 4 ) * W
g² - 2 g - 24 = g² - 6 g + 4 g - 24 =
= g ( g - 6 ) + 4 ( g - 6 ) =
= ( g - 6 ) ( g + 4 )
Answer: B ) g - 6

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Given f(x)=x^2+5 and g(x)=2x^3-1 find (f/g)(-3)

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For this case we have the following functions:

$f (x) = x ^ 2 + 5\\g (x) = 2x ^ 3-1$

By definition of composition of functions we have:

$(f / g) (x) = \frac {f (x)} {g (x)}$

Then substituting:

$f (-3) = (- 3) ^ 2 + 5 = 9 + 5 = 14\\g (-3) = 2 (-3) ^ 3-1 = 2 (-27) -1 = -54-1 = -55$

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Answer:

$(f / g) (- 3) = \frac {14} {- 55} = - 0.25$

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2 years ago

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Slav-nsk [51]

Answer:

The answer is given below.

Step-by-step explanation:

Alternate exterior angles: I is a pair of angles on the outer side of the each of two parallel lines but on opposite side of the transversal.

Vertically opposite angles: They are angles opposite each other when two lines intersect each other or cross each other.

Corresponding angles: The angles which occupy the same relative position at each intersection where a transversal intersect the two parallel lines.

Same side interior angles: These are the angles between the parallel lines with the transversal.

Alternate interior angles: These are those angles that are alternate to each other and lie inside the parallel lines forming in Z shape.

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