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Paladinen [302]
2 years ago
8

If f(x) = 3x^2 - 4 and g(x) = x+2, find (f - g)(x).

Mathematics
2 answers:
galina1969 [7]2 years ago
8 0

Answer:

3x^2-x-6

Step-by-step explanation:

f(x) = 3x^2 - 4

g(x) = x+2

(f - g)(x)= 3x^2 - 4-( x+2)

Distribute the minus sign

(f - g)(x)= 3x^2 - 4- x-2

Combine like terms

            = 3x^2-x-6

sergey [27]2 years ago
5 0

Answer:

(f - g)(x) = 3 x² - x - 6

Step-by-step explanation:

<u>Given</u> :-

  • f(x) = 3x² - 4
  • g(x) = x+2

<u>Find :-</u>

  • (f - g)(x).

<u>Solution :-</u>

(f - g)(x) = 3 x² - 4 - ( x + 2 )

Distribute the ( - ) minus sign

(f - g)(x) = 3 x ² - 4 - x - 2

Combine like terms

(f - g)(x) = 3 x ² - x - 4 - 2

(f - g)(x) = 3 x² - x - 6

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Step-by-step explanation:

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2 years ago
SHOE COLLECTION: Marquise, Bron'Tavious, and JayDarius each have a shoe collection of Nike Air Vapor Max shoes. Marquise has two
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Answer:

(a) The number of shoes that Marquise has is 40 pairs of shoes

(b) The number of pairs of shoes that Bron'Tavious has is 20 pairs of shoes

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Step-by-step explanation:

The given information are;

The number of shoes that Marquise has = 2 × The number of pairs of shoes that Bron'Tavious

The number of pairs of shoes that JayDarius has = The number of pairs of shoes that Bron'Tavious + 15

The total number of pairs of shoes they have all together = 95 pairs of shoes

Let the number of pairs of shoes that Bron'Tavious has = X. Therefore, we have;

The number of shoes that Marquise has = 2 × X

The number of pairs of shoes that JayDarius has = X + 15

The total number of pairs of shoes they have all together = X + X + 15 + 2 × X = 95

X + X + 15 + 2 × X = 95

4 × X + 15 = 95

4 × X = 95 - 15 = 80

X = 80/4 = 20

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(a) The number of shoes that Marquise has = 2 × X = 2 × 20 = 40

The number of shoes that Marquise has = 40 pairs of shoes

(b) The number of pairs of shoes that Bron'Tavious has = X = 20

The number of pairs of shoes that Bron'Tavious has = 20 pairs of shoes

(c) The number of pairs of shoes that JayDarius has = X + 15 = 20 + 15 = 35

The number of pairs of shoes that JayDarius has = 35 pairs of shoes.

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Fudgin [204]

Answer:

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Step-by-step explanation:

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